|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > # Begin Function number 3 > check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 1 > ret := 1.0; > else > ret := -1.0; > fi;# end if 1; > ret;; > end; check_sign := proc(x0, xf) local ret; if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret end proc > # End Function number 3 > # Begin Function number 4 > est_size_answer := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > fi;# end if 2; > #BOTTOM DISPLAY ALOT > fi;# end if 1; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end if end proc > # End Function number 7 > # Begin Function number 8 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2; > if (m > 10) then # if number 1 > rm0 := array_y_higher[1,m]/array_y_higher[1,m-1]; > rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (omniabs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 1 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1; > n := n - 1; > od;# end do number 2; > m := n + cnt; > if (m <= 10) then # if number 1 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]); > rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]); > rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]); > rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]); > rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (omniabs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2; > #BOTTOM RADII COMPLEX EQ = 1 > found := false; > #TOP WHICH RADII EQ = 1 > if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found := true; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 3; > fi;# end if 2; > if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found := true; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found ) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 3; > fi;# end if 2; > #BOTTOM WHICH RADII EQ = 1 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if (array_pole[1] > array_poles[1,1]) then # if number 2 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 2; > #BOTTOM WHICH RADIUS EQ = 1 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 2 > array_y[term] := array_y[term]* ratio; > array_y_higher[1,term] := array_y_higher[1,term]* ratio; > array_x[term] := array_x[term]* ratio; > ratio := ratio * h_new / omniabs(glob_h); > term := term + 1; > od;# end do number 2; > glob_h := h_new; > fi;# end if 2; > #BOTTOM ADJUST ALL SERIES > if (reached_interval()) then # if number 2 > display_pole(); > fi;# end if 2 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or omniabs(array_y_higher[1, m - 1]) < glob_small_float or omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_y_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float elif glob_large_float <= omniabs(array_y_higher[1, m]) or glob_large_float <= omniabs(array_y_higher[1, m - 1]) or glob_large_float <= omniabs(array_y_higher[1, m - 2]) or glob_large_float <= omniabs(array_y_higher[1, m - 3]) or glob_large_float <= omniabs(array_y_higher[1, m - 4]) or glob_large_float <= omniabs(array_y_higher[1, m - 5]) or omniabs(array_y_higher[1, m]) <= glob_small_float or omniabs(array_y_higher[1, m - 1]) <= glob_small_float or omniabs(array_y_higher[1, m - 2]) <= glob_small_float or omniabs(array_y_higher[1, m - 3]) <= glob_small_float or omniabs(array_y_higher[1, m - 4]) <= glob_small_float or omniabs(array_y_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3]; rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4]; rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or omniabs(dr1) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < omniabs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h) else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; found := false; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found := true; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if end if; if not found and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used") end if end if end if; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found := true; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used") end if end if end if; if not found and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found := true; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then h_new := array_pole[1]*glob_ratio_of_radius; term := 1; ratio := 1.0; while term <= glob_max_terms do array_y[term] := array_y[term]*ratio; array_y_higher[1, term] := array_y_higher[1, term]*ratio; array_x[term] := array_x[term]*ratio; ratio := ratio*h_new/omniabs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_pole() end if end proc > # End Function number 10 > # Begin Function number 11 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D1[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; > omniout_str(ALWAYS,"WARNING: arctan of linear function has low precision in testing."); > #emit pre atan ID_LINEAR iii = 1 $eq_no = 1 > #emit pre atan 1 $eq_no = 1 > array_tmp3[1] := arctan(array_tmp2[1]); > array_tmp3_a1[1] := sin(array_tmp3[1]); > array_tmp3_a2[1] := cos(array_tmp3[1]); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D1[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre atan ID_LINEAR iii = 2 $eq_no = 1 > #emit pre atan 1 $eq_no = 1 > array_tmp3[2] := array_tmp2[2] * array_tmp3_a2[1] / (array_tmp3_a2[1] + array_tmp2[1] * array_tmp3_a1[1]); > array_tmp3_a1[2] := array_tmp3_a2[1] * array_tmp3[2]; > array_tmp3_a2[2] := array_tmp3_a1[1] * array_tmp3[2]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp4[2] := array_tmp3[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre atan ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := (array_tmp2[2] * array_tmp3_a2[2] - array_tmp2[1] * att(2,array_tmp3_a1,array_tmp3,2) - att(2,array_tmp3_a2,array_tmp3,2)) / (array_tmp3_a2[1] + array_tmp2[1] * array_tmp3_a1[1]); > array_tmp3_a1[3] := att(2,array_tmp3_a2,array_tmp3,1); > array_tmp3_a2[3] := - att(2,array_tmp3_a1,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp4[3] := array_tmp3[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre atan ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := (array_tmp2[2] * array_tmp3_a2[3] - array_tmp2[1] * att(3,array_tmp3_a1,array_tmp3,2) - att(3,array_tmp3_a2,array_tmp3,2)) / (array_tmp3_a2[1] + array_tmp2[1] * array_tmp3_a1[1]); > array_tmp3_a1[4] := att(3,array_tmp3_a2,array_tmp3,1); > array_tmp3_a2[4] := - att(3,array_tmp3_a1,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp4[4] := array_tmp3[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre atan ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := (array_tmp2[2] * array_tmp3_a2[4] - array_tmp2[1] * att(4,array_tmp3_a1,array_tmp3,2) - att(4,array_tmp3_a2,array_tmp3,2)) / (array_tmp3_a2[1] + array_tmp2[1] * array_tmp3_a1[1]); > array_tmp3_a1[5] := att(4,array_tmp3_a2,array_tmp3,1); > array_tmp3_a2[5] := - att(4,array_tmp3_a1,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp4[5] := array_tmp3[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y_higher[2,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit pre atan ID_LINEAR $eq_no = 1 > array_tmp3[kkk] := (array_tmp2[2] * array_tmp3_a2[kkk- 1] - array_tmp2[1] * att(kkk-1,array_tmp3_a1,array_tmp3,2) - att(kkk - 1,array_tmp3_a2,array_tmp3,2)) / (array_tmp3_a2[1] + array_tmp2[1] * array_tmp3_a1[1]); > array_tmp3_a1[kkk] := att(kkk-1,array_tmp3_a2,array_tmp3,1); > array_tmp3_a2[kkk] := - att(kkk-1,array_tmp3_a1,array_tmp3,1); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp4[kkk] := array_tmp3[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_y_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_0D1[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; omniout_str(ALWAYS, "WARNING: arctan of linear function has low precision in testing.") ; array_tmp3[1] := arctan(array_tmp2[1]); array_tmp3_a1[1] := sin(array_tmp3[1]); array_tmp3_a2[1] := cos(array_tmp3[1]); array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D1[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp2[2]*array_tmp3_a2[1]/( array_tmp3_a2[1] + array_tmp2[1]*array_tmp3_a1[1]); array_tmp3_a1[2] := array_tmp3_a2[1]*array_tmp3[2]; array_tmp3_a2[2] := array_tmp3_a1[1]*array_tmp3[2]; array_tmp4[2] := array_tmp3[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp3[3] := (array_tmp2[2]*array_tmp3_a2[2] - array_tmp2[1]*att(2, array_tmp3_a1, array_tmp3, 2) - att(2, array_tmp3_a2, array_tmp3, 2))/( array_tmp3_a2[1] + array_tmp2[1]*array_tmp3_a1[1]); array_tmp3_a1[3] := att(2, array_tmp3_a2, array_tmp3, 1); array_tmp3_a2[3] := -att(2, array_tmp3_a1, array_tmp3, 1); array_tmp4[3] := array_tmp3[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3[4] := (array_tmp2[2]*array_tmp3_a2[3] - array_tmp2[1]*att(3, array_tmp3_a1, array_tmp3, 2) - att(3, array_tmp3_a2, array_tmp3, 2))/( array_tmp3_a2[1] + array_tmp2[1]*array_tmp3_a1[1]); array_tmp3_a1[4] := att(3, array_tmp3_a2, array_tmp3, 1); array_tmp3_a2[4] := -att(3, array_tmp3_a1, array_tmp3, 1); array_tmp4[4] := array_tmp3[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3[5] := (array_tmp2[2]*array_tmp3_a2[4] - array_tmp2[1]*att(4, array_tmp3_a1, array_tmp3, 2) - att(4, array_tmp3_a2, array_tmp3, 2))/( array_tmp3_a2[1] + array_tmp2[1]*array_tmp3_a1[1]); array_tmp3_a1[5] := att(4, array_tmp3_a2, array_tmp3, 1); array_tmp3_a2[5] := -att(4, array_tmp3_a1, array_tmp3, 1); array_tmp4[5] := array_tmp3[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp3[kkk] := (array_tmp2[2]*array_tmp3_a2[kkk - 1] - array_tmp2[1]*att(kkk - 1, array_tmp3_a1, array_tmp3, 2) - att(kkk - 1, array_tmp3_a2, array_tmp3, 2))/( array_tmp3_a2[1] + array_tmp2[1]*array_tmp3_a1[1]); array_tmp3_a1[kkk] := att(kkk - 1, array_tmp3_a2, array_tmp3, 1); array_tmp3_a2[kkk] := -att(kkk - 1, array_tmp3_a1, array_tmp3, 1); array_tmp4[kkk] := array_tmp3[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp4[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 1; adj3 := 2; while 1 <= term do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := temporary*convfp(adj2)/glob_h else temporary := temporary end if; array_y_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc > # End Function number 12 > #BEGIN ATS LIBRARY BLOCK > # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > # End Function number 2 > # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > # End Function number 3 > # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > # End Function number 4 > # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 5 > # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 6 > # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > # End Function number 7 > # Begin Function number 8 > dump_series := proc(iolevel,dump_label,series_name,arr_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then # if number 0 > i := 1; > while (i <= numb) do # do number 1 > print(dump_label,series_name > ,i,arr_series[i]); > i := i + 1; > od;# end do number 1 > fi;# end if 0 > end; dump_series := proc(iolevel, dump_label, series_name, arr_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, arr_series[i]); i := i + 1 end do end if end proc > # End Function number 8 > # Begin Function number 9 > dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then # if number 0 > sub := 1; > while (sub <= subnum) do # do number 1 > i := 1; > while (i <= numb) do # do number 2 > print(dump_label,series_name2,sub,i,arr_series2[sub,i]); > od;# end do number 2; > sub := sub + 1; > od;# end do number 1; > fi;# end if 0; > end; dump_series_2 := proc( iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, arr_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > # End Function number 9 > # Begin Function number 10 > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then # if number 0 > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi;# end if 0; > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # End Function number 10 > # Begin Function number 11 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 1 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 2 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," Unknown"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " Unknown") end if; fprintf(fd, "\n") end proc > # End Function number 11 > # Begin Function number 12 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 5 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" Unknown\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > # End Function number 12 > # Begin Function number 13 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 6 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > # End Function number 13 > # Begin Function number 14 > att := proc(mmm_att,arr_aa,arr_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 6 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 7 > ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # End Function number 14 > # Begin Function number 15 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 6 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # End Function number 15 > # Begin Function number 16 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # End Function number 16 > # Begin Function number 17 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # End Function number 17 > # Begin Function number 18 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # End Function number 18 > # Begin Function number 19 > logitem_good_digits := proc(file,rel_error) > global glob_small_float; > local good_digits; > fprintf(file,""); > if (rel_error <> -1.0) then # if number 6 > if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7 > good_digits := 1-trunc(log10(rel_error)); > fprintf(file,"%d",good_digits); > else > good_digits := Digits; > fprintf(file,"%d",good_digits); > fi;# end if 7; > else > fprintf(file,"Unknown"); > fi;# end if 6; > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float; fprintf(file, ""); if rel_error <> -1.0 then if 0.1*10^(-33) < rel_error then good_digits := 1 - trunc(log10(rel_error)); fprintf(file, "%d", good_digits) else good_digits := Digits; fprintf(file, "%d", good_digits) end if else fprintf(file, "Unknown") end if; fprintf(file, "") end proc > # End Function number 19 > # Begin Function number 20 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 20 > # Begin Function number 21 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # End Function number 21 > # Begin Function number 22 > logitem_pole := proc(file,pole) > fprintf(file,""); > if (pole = 0) then # if number 6 > fprintf(file,"NA"); > elif > (pole = 1) then # if number 7 > fprintf(file,"Real"); > elif > (pole = 2) then # if number 8 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 8 > fprintf(file,""); > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # End Function number 22 > # Begin Function number 23 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 24 > # Begin Function number 25 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 8; > if (glob_max_iter < 2) then # if number 8 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 8; > if (errflag) then # if number 8 > quit; > fi;# end if 8 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > # End Function number 25 > # Begin Function number 26 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 8 > sec_left := 0.0; > else > if (sub2 > 0.0) then # if number 9 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 9 > fi;# end if 8; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec2; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > # End Function number 26 > # Begin Function number 27 > comp_percent := proc(t_end2,t_start2, t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub2 > glob_small_float) then # if number 8 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 8; > rrr; > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # End Function number 27 > # Begin Function number 28 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 28 > # Begin Function number 29 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 8 > if (array_fact_1[nnn] = 0) then # if number 9 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 9; > else > ret := factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc > # End Function number 29 > # Begin Function number 30 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8 > if (array_fact_2[mmm,nnn] = 0) then # if number 9 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 9; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc > # End Function number 30 > # Begin Function number 31 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 31 > # Begin Function number 32 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 33 > # Begin Function number 34 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 34 > # Begin Function number 35 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 35 > # Begin Function number 36 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS; > omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,""); > desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer); > omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,""); > range := (x_end - x_start); > omniout_float(ALWAYS,"range",32,range,32,""); > estimated_steps := range / estimated_h; > omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,""); > step_error := omniabs(desired_abs_gbl_error / estimated_steps); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS; omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""); desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer); omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""); range := x_end - x_start; omniout_float(ALWAYS, "range", 32, range, 32, ""); estimated_steps := range/estimated_h; omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, ""); step_error := omniabs(desired_abs_gbl_error/estimated_steps); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc > # End Function number 36 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(10.0 * (0.1 * x + 0.2) * arctan(0.1 * x + 0.2) - 5.0 * ln(1.0 + > expt((0.1 * x + 0.2) , 2))); > end; exact_soln_y := proc(x) return 10.0*(0.1*x + 0.2)*arctan(0.1*x + 0.2) - 5.0*ln(1.0 + expt(0.1*x + 0.2, 2)) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_log10normmin := 0.1; > glob_total_exp_sec := 0.1; > glob_optimal_expect_sec := 0.1; > glob_html_log := true; > glob_good_digits := 0; > glob_max_opt_iter := 10; > glob_dump := false; > glob_djd_debug := true; > glob_display_flag := true; > glob_djd_debug2 := true; > glob_sec_in_minute := 60; > glob_min_in_hour := 60; > glob_hours_in_day := 24; > glob_days_in_year := 365; > glob_sec_in_hour := 3600; > glob_sec_in_day := 86400; > glob_sec_in_year := 31536000; > glob_almost_1 := 0.9990; > glob_clock_sec := 0.0; > glob_clock_start_sec := 0.0; > glob_not_yet_finished := true; > glob_initial_pass := true; > glob_not_yet_start_msg := true; > glob_reached_optimal_h := false; > glob_optimal_done := false; > glob_disp_incr := 0.1; > glob_h := 0.1; > glob_hmax := 1.0; > glob_hmin := 0.00000000001; > glob_hmin_init := 0.001; > glob_large_float := 9.0e100; > glob_last_good_h := 0.1; > glob_look_poles := false; > glob_neg_h := false; > glob_display_interval := 0.0; > glob_next_display := 0.0; > glob_dump_analytic := false; > glob_log10_abserr := 0.1e-10; > glob_log10_relerr := 0.1e-10; > glob_abserr := 0.1e-10; > glob_relerr := 0.1e-10; > glob_max_hours := 0.0; > glob_max_iter := 1000; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_trunc_err := 0.1e-10; > glob_no_eqs := 0; > glob_optimal_clock_start_sec := 0.0; > glob_optimal_start := 0.0; > glob_small_float := 0.1e-50; > glob_smallish_float := 0.1e-100; > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_max_sec := 10000.0; > glob_orig_start_sec := 0.0; > glob_start := 0; > glob_curr_iter_when_opt := 0; > glob_current_iter := 0; > glob_iter := 0; > glob_normmax := 0.0; > glob_log10abserr := 0.0; > glob_log10relerr := 0.0; > glob_max_minutes := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 1; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/lin_arctanpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := -1.0;"); > omniout_str(ALWAYS,"x_end := 5.00 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 100;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"glob_subiter_method:=3;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"return(10.0 * (0.1 * x + 0.2) * arctan(0.1 * x + 0.2) - 5.0 * ln(1.0 +"); > omniout_str(ALWAYS,"expt((0.1 * x + 0.2) , 2)));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits:=32; > max_terms:=30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_y_init:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3_a1:= Array(0..(max_terms + 1),[]); > array_tmp3_a2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_a2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_0D1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D1[1] := 0.1; > array_const_0D2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D2[1] := 0.2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := -1.0; > x_end := 5.00 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.00001 ; > glob_look_poles := true; > glob_max_iter := 100; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > glob_subiter_method:=3; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > glob_abserr := expt(10.0 , (glob_log10_abserr)); > glob_relerr := expt(10.0 , (glob_log10_relerr)); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y_set_initial[1,1] := true; > array_y_set_initial[1,2] := false; > array_y_set_initial[1,3] := false; > array_y_set_initial[1,4] := false; > array_y_set_initial[1,5] := false; > array_y_set_initial[1,6] := false; > array_y_set_initial[1,7] := false; > array_y_set_initial[1,8] := false; > array_y_set_initial[1,9] := false; > array_y_set_initial[1,10] := false; > array_y_set_initial[1,11] := false; > array_y_set_initial[1,12] := false; > array_y_set_initial[1,13] := false; > array_y_set_initial[1,14] := false; > array_y_set_initial[1,15] := false; > array_y_set_initial[1,16] := false; > array_y_set_initial[1,17] := false; > array_y_set_initial[1,18] := false; > array_y_set_initial[1,19] := false; > array_y_set_initial[1,20] := false; > array_y_set_initial[1,21] := false; > array_y_set_initial[1,22] := false; > array_y_set_initial[1,23] := false; > array_y_set_initial[1,24] := false; > array_y_set_initial[1,25] := false; > array_y_set_initial[1,26] := false; > array_y_set_initial[1,27] := false; > array_y_set_initial[1,28] := false; > array_y_set_initial[1,29] := false; > array_y_set_initial[1,30] := false; > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR OPTIMIZE > glob_check_sign := check_sign(x_start,x_end); > glob_h := check_sign(x_start,x_end); > if (glob_display_interval < glob_h) then # if number 2 > glob_h := glob_display_interval; > fi;# end if 2; > found_h := -1.0; > best_h := 0.0; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2 > omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""); > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > atomall(); > est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer); > omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,""); > value3 := test_suggested_h(); > omniout_float(ALWAYS,"value3",32,value3,32,""); > if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2 > best_h := glob_h; > found_h := 1.0; > fi;# end if 2; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > glob_h := glob_h * 0.5; > od;# end do number 2; > if (found_h > 0.0) then # if number 2 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 2; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 2 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > glob_log10normmin := -glob_large_float ; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3 > tmp := omniabs(array_y_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > if (reached_interval()) then # if number 3 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 3; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > display_alot(current_iter); > if (glob_look_poles) then # if number 3 > #left paren 0004C > check_for_pole(); > fi;# end if 3;#was right paren 0004C > if (reached_interval()) then # if number 3 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 3; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 2;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 3 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 3; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 3; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 3 > logstart(html_log_file); > logitem_str(html_log_file,"2013-01-12T23:44:16-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"lin_arctan") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 4; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 4 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 4; > log_revs(html_log_file," 156 ") > ; > logitem_str(html_log_file,"lin_arctan diffeq.mxt") > ; > logitem_str(html_log_file,"lin_arctan maple results") > ; > logitem_str(html_log_file,"Languages compared - single equations") > ; > logend(html_log_file) > ; > ; > fi;# end if 3; > if (glob_html_log) then # if number 3 > fclose(html_log_file); > fi;# end if 3 > ; > ;; > fi;# end if 2 > #END OUTFILEMAIN > end; main := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_log10normmin := 0.1; glob_total_exp_sec := 0.1; glob_optimal_expect_sec := 0.1; glob_html_log := true; glob_good_digits := 0; glob_max_opt_iter := 10; glob_dump := false; glob_djd_debug := true; glob_display_flag := true; glob_djd_debug2 := true; glob_sec_in_minute := 60; glob_min_in_hour := 60; glob_hours_in_day := 24; glob_days_in_year := 365; glob_sec_in_hour := 3600; glob_sec_in_day := 86400; glob_sec_in_year := 31536000; glob_almost_1 := 0.9990; glob_clock_sec := 0.; glob_clock_start_sec := 0.; glob_not_yet_finished := true; glob_initial_pass := true; glob_not_yet_start_msg := true; glob_reached_optimal_h := false; glob_optimal_done := false; glob_disp_incr := 0.1; glob_h := 0.1; glob_hmax := 1.0; glob_hmin := 0.1*10^(-10); glob_hmin_init := 0.001; glob_large_float := 0.90*10^101; glob_last_good_h := 0.1; glob_look_poles := false; glob_neg_h := false; glob_display_interval := 0.; glob_next_display := 0.; glob_dump_analytic := false; glob_log10_abserr := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); glob_abserr := 0.1*10^(-10); glob_relerr := 0.1*10^(-10); glob_max_hours := 0.; glob_max_iter := 1000; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_trunc_err := 0.1*10^(-10); glob_no_eqs := 0; glob_optimal_clock_start_sec := 0.; glob_optimal_start := 0.; glob_small_float := 0.1*10^(-50); glob_smallish_float := 0.1*10^(-100); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_max_sec := 10000.0; glob_orig_start_sec := 0.; glob_start := 0; glob_curr_iter_when_opt := 0; glob_current_iter := 0; glob_iter := 0; glob_normmax := 0.; glob_log10abserr := 0.; glob_log10relerr := 0.; glob_max_minutes := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 1; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/lin_arctanpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := -1.0;"); omniout_str(ALWAYS, "x_end := 5.00 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 100;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "glob_subiter_method:=3;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "return(10.0 * (0.1 * x + 0.2) * arctan(0.1 * x +\ 0.2) - 5.0 * ln(1.0 +"); omniout_str(ALWAYS, "expt((0.1 * x + 0.2) , 2)));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3_a1 := Array(0 .. max_terms + 1, []); array_tmp3_a2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_a2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a1[term] := 0.; term := term + 1 end do; array_tmp3_a2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_0D1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D1[term] := 0.; term := term + 1 end do; array_const_0D1[1] := 0.1; array_const_0D2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D2[term] := 0.; term := term + 1 end do; array_const_0D2[1] := 0.2; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := -1.0; x_end := 5.00; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 100; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_subiter_method := 3; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := expt(10.0, glob_log10_abserr); glob_relerr := expt(10.0, glob_log10_relerr); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; chk_data(); array_y_set_initial[1, 1] := true; array_y_set_initial[1, 2] := false; array_y_set_initial[1, 3] := false; array_y_set_initial[1, 4] := false; array_y_set_initial[1, 5] := false; array_y_set_initial[1, 6] := false; array_y_set_initial[1, 7] := false; array_y_set_initial[1, 8] := false; array_y_set_initial[1, 9] := false; array_y_set_initial[1, 10] := false; array_y_set_initial[1, 11] := false; array_y_set_initial[1, 12] := false; array_y_set_initial[1, 13] := false; array_y_set_initial[1, 14] := false; array_y_set_initial[1, 15] := false; array_y_set_initial[1, 16] := false; array_y_set_initial[1, 17] := false; array_y_set_initial[1, 18] := false; array_y_set_initial[1, 19] := false; array_y_set_initial[1, 20] := false; array_y_set_initial[1, 21] := false; array_y_set_initial[1, 22] := false; array_y_set_initial[1, 23] := false; array_y_set_initial[1, 24] := false; array_y_set_initial[1, 25] := false; array_y_set_initial[1, 26] := false; array_y_set_initial[1, 27] := false; array_y_set_initial[1, 28] := false; array_y_set_initial[1, 29] := false; array_y_set_initial[1, 30] := false; omniout_str(ALWAYS, "START of Optimize"); glob_check_sign := check_sign(x_start, x_end); glob_h := check_sign(x_start, x_end); if glob_display_interval < glob_h then glob_h := glob_display_interval end if; found_h := -1.0; best_h := 0.; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; while opt_iter <= 20 and found_h < 0. do omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; atomall(); est_needed_step_err := estimated_needed_step_error(x_start, x_end, glob_h, est_answer) ; omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""); value3 := test_suggested_h(); omniout_float(ALWAYS, "value3", 32, value3, 32, ""); if value3 < est_needed_step_err and found_h < 0. then best_h := glob_h; found_h := 1.0 end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1; glob_h := glob_h*0.5 end do; if 0. < found_h then glob_h := best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found") end if; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; if 0. < found_h then omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); glob_log10normmin := -glob_large_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do if reached_interval() then omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop") end if; glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); display_alot(current_iter); if glob_look_poles then check_for_pole() end if; if reached_interval() then glob_next_display := glob_next_display + glob_display_interval end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[2, iii] := array_y_higher[2, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ;") ; omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-12T23:44:16-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "lin_arctan"); logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_good_digits(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 156 "); logitem_str(html_log_file, "lin_arctan diffeq.mxt"); logitem_str(html_log_file, "lin_arctan maple results"); logitem_str(html_log_file, "Languages compared - single equations"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end if end proc > # End Function number 12 > main(); ##############ECHO OF PROBLEM################# ##############temp/lin_arctanpostode.ode################# diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -1.0; x_end := 5.00 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.00001 ; glob_look_poles := true; glob_max_iter := 100; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(10.0 * (0.1 * x + 0.2) * arctan(0.1 * x + 0.2) - 5.0 * ln(1.0 + expt((0.1 * x + 0.2) , 2))); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 WARNING: arctan of linear function has low precision in testing. glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 6 estimated_steps = 6000 step_error = 1.6666666666666666666666666666667e-14 est_needed_step_err = 1.6666666666666666666666666666667e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 9.6869925780788414840435724596556e-107 max_value3 = 9.6869925780788414840435724596556e-107 value3 = 9.6869925780788414840435724596556e-107 best_h = 0.001 START of Soultion x[1] = -1 y[1] (analytic) = 0.049916998225321613137369332156717 y[1] (numeric) = 0.049916998225321613137369332156717 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -1 y[1] (analytic) = 0.049916998225321613137369332156717 y[1] (numeric) = 0.049916998225321613137369332156717 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=3.8MB, alloc=2.9MB, time=0.30 x[1] = -0.999 y[1] (analytic) = 0.05001671638243642641031649099103 y[1] (numeric) = 0.05001671638276642377711436183848 absolute error = 3.29997366797870847450e-13 relative error = 6.5977415285452598466123144222782e-10 % Correct digits = 11 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.998 y[1] (analytic) = 0.05011653354749053935604224216714 y[1] (numeric) = 0.050116533548150857411032980530784 absolute error = 6.60318054990738363644e-13 relative error = 1.3175652988150497218022536257038e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.997 y[1] (analytic) = 0.05021644971852053574396763633951 y[1] (numeric) = 0.050216449719511497788547146351939 absolute error = 9.90962044579510012429e-13 relative error = 1.9733813324800403350343768060508e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.996 y[1] (analytic) = 0.050316464893561116855730028210975 y[1] (numeric) = 0.05031646489488304617127525535907 absolute error = 1.321929315545227148095e-12 relative error = 2.6272301091533785887141337609803e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=7.6MB, alloc=3.9MB, time=0.63 x[1] = -0.995 y[1] (analytic) = 0.050416579070645101714025864549365 y[1] (numeric) = 0.05041657907229832156187493008076 absolute error = 1.653219847849065531395e-12 relative error = 3.2791194450788266774202636731681e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.994 y[1] (analytic) = 0.05051679224780342731165890599618 y[1] (numeric) = 0.050516792249788260933091241843223 absolute error = 1.984833621432335847043e-12 relative error = 3.9290571176728673673834149752718e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.993 y[1] (analytic) = 0.050617104423065148840793816907855 y[1] (numeric) = 0.05061710442538191945701030113059 absolute error = 2.316770616216484222735e-12 relative error = 4.5770508657559254377845323823029e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.992 y[1] (analytic) = 0.050717515594457439922415057417245 y[1] (numeric) = 0.050717515597106470734518150166751 absolute error = 2.649030812103092749506e-12 relative error = 5.2231083897819842538325082936567e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=11.4MB, alloc=4.1MB, time=0.97 x[1] = -0.991 y[1] (analytic) = 0.05081802576000559283599101184943 y[1] (numeric) = 0.050818025762987207024964891853078 absolute error = 2.981614188973880003648e-12 relative error = 5.8672373520666101899462997320674e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.99 y[1] (analytic) = 0.050918634917733018749343287573255 y[1] (numeric) = 0.050918634921047539476033989143269 absolute error = 3.314520726690701570014e-12 relative error = 6.5094453770133975073042548646973e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.989 y[1] (analytic) = 0.05101934306566124794872111831669 y[1] (numeric) = 0.05101934306930899835381666888352 absolute error = 3.647750405095550566830e-12 relative error = 7.1497400513388461784609410435029e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.988 y[1] (analytic) = 0.051120150201809930069080805921245 y[1] (numeric) = 0.051120150205791233273091364093214 absolute error = 3.981303204010558171969e-12 relative error = 7.7881289242956850403569293125043e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=15.2MB, alloc=4.2MB, time=1.33 x[1] = -0.987 y[1] (analytic) = 0.05122105632419683432457013445768 y[1] (numeric) = 0.051221056328512013427808128608341 absolute error = 4.315179103237994150661e-12 relative error = 8.4246195078946525471406866788297e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.986 y[1] (analytic) = 0.05132206143083784973921769057225 y[1] (numeric) = 0.051322061435487227821777957956932 absolute error = 4.649378082560267384682e-12 relative error = 9.0592192771247472854939286718326e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.985 y[1] (analytic) = 0.051423165519746985377827023879795 y[1] (numeric) = 0.051423165524730885499566950282873 absolute error = 4.983900121739926403078e-12 relative error = 9.6919356701719603073846969318523e-09 % Correct digits = 10 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.984 y[1] (analytic) = 0.051524368588936370577075581167385 y[1] (numeric) = 0.051524368594255115777595241081607 absolute error = 5.318745200519659914222e-12 relative error = 1.0322776088636501227939345257106e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=19.0MB, alloc=4.3MB, time=1.68 x[1] = -0.983 y[1] (analytic) = 0.05162567063641625517681834811883 y[1] (numeric) = 0.051625670642070168475440645458382 absolute error = 5.653913298622297339552e-12 relative error = 1.0951747897748529931514451569082e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.982 y[1] (analytic) = 0.05172707166019500975159613221837 y[1] (numeric) = 0.051727071666184414147346941566925 absolute error = 5.989404395750809348555e-12 relative error = 1.1578858426582405622881250547452e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.981 y[1] (analytic) = 0.05182857165827912584234842043816 y[1] (numeric) = 0.051828571664604344313936728833628 absolute error = 6.325218471588308395468e-12 relative error = 1.2204114968269464858578812491454e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.98 y[1] (analytic) = 0.051930170628673216188330745262425 y[1] (numeric) = 0.051930170635334571694128794519634 absolute error = 6.661355505798049257209e-12 relative error = 1.2827524780209340089030783285752e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=22.8MB, alloc=4.3MB, time=2.03 x[1] = -0.979 y[1] (analytic) = 0.052031868569380014959236492547405 y[1] (numeric) = 0.052031868576377830437259922120487 absolute error = 6.997815478023429573082e-12 relative error = 1.3449095084279830142418802588653e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.978 y[1] (analytic) = 0.052133665478400377987523084664645 y[1] (numeric) = 0.052133665485734976355411075050369 absolute error = 7.334598367887990385724e-12 relative error = 1.4068833067045333978621079498942e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.977 y[1] (analytic) = 0.052235561353733283000942472321675 y[1] (numeric) = 0.052235561361404987155937889005316 absolute error = 7.671704154995416683641e-12 relative error = 1.4686745879963858943602010956548e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.976 y[1] (analytic) = 0.05233755619337582985527586840189 y[1] (numeric) = 0.052337556201384962674205406347212 absolute error = 8.009132818929537945322e-12 relative error = 1.5302840639592614655295283595425e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=26.7MB, alloc=4.3MB, time=2.38 x[1] = -0.975 y[1] (analytic) = 0.052439649995323240767272657113145 y[1] (numeric) = 0.052439650003670125106526985797814 absolute error = 8.346884339254328684669e-12 relative error = 1.5917124427792203553857569846097e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.974 y[1] (analytic) = 0.052541842757568860547793411681465 y[1] (numeric) = 0.052541842766253819243307320679532 absolute error = 8.684958695513908998067e-12 relative error = 1.6529604291929419053557628952435e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.973 y[1] (analytic) = 0.05264413447810415683515695377425 y[1] (numeric) = 0.052644134487127512702389498887208 absolute error = 9.023355867232545112958e-12 relative error = 1.7140287245078662136888242914555e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.972 y[1] (analytic) = 0.052746525154918720328691387784915 y[1] (numeric) = 0.052746525164280796162606037722694 absolute error = 9.362075833914649937779e-12 relative error = 1.7749180266221987136622323900747e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=30.5MB, alloc=4.3MB, time=2.74 x[1] = -0.971 y[1] (analytic) = 0.052849014786000265022489043058025 y[1] (numeric) = 0.052849014795701383597533826671606 absolute error = 9.701118575044783613581e-12 relative error = 1.8356290300447787358462243299991e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.97 y[1] (analytic) = 0.052951603369334628439365257082215 y[1] (numeric) = 0.052951603379375112509452911149255 absolute error = 1.0040484070087654067040e-11 relative error = 1.8961624259148131102748116708654e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.969 y[1] (analytic) = 0.05305429090290577186502093262542 y[1] (numeric) = 0.053054290913285944163509050190423 absolute error = 1.0380172298488117565003e-11 relative error = 1.9565189020214758552385882280592e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.968 y[1] (analytic) = 0.053157077384695780582408801734685 y[1] (numeric) = 0.053157077395415963822079981005327 absolute error = 1.0720183239671179270642e-11 relative error = 2.0166991428233749902784726980229e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=34.3MB, alloc=4.3MB, time=3.09 x[1] = -0.967 y[1] (analytic) = 0.053259962812684864106303329470935 y[1] (numeric) = 0.053259962823745380979345323271855 absolute error = 1.1060516873041993800920e-11 relative error = 2.0767038294678875018545849092143e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.966 y[1] (analytic) = 0.053362947184851356418074190196085 y[1] (numeric) = 0.053362947196252529596060055981913 absolute error = 1.1401173177985865785828e-11 relative error = 2.1365336398103634813588754070782e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.965 y[1] (analytic) = 0.053466030499171716200663249178615 y[1] (numeric) = 0.053466030510913868334531499607529 absolute error = 1.1742152133868250428914e-11 relative error = 2.1961892484332004461018435733050e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.964 y[1] (analytic) = 0.05356921275362052707376498223066 y[1] (numeric) = 0.053569212765703980793799736300175 absolute error = 1.2083453720034754069515e-11 relative error = 2.2556713266647888452951878914195e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=38.1MB, alloc=4.3MB, time=3.45 x[1] = -0.963 y[1] (analytic) = 0.05367249394617049782921026603831 y[1] (numeric) = 0.053672493958595575745021400784668 absolute error = 1.2425077915811134746358e-11 relative error = 2.3149805425983297442208067909058e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.962 y[1] (analytic) = 0.05377587407479246266655347179402 y[1] (numeric) = 0.053775874087559487367056774556877 absolute error = 1.2767024700503302762857e-11 relative error = 2.3741175611105256712927069883503e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.961 y[1] (analytic) = 0.05387935313745538142886279468864 y[1] (numeric) = 0.053879353150564675482260115942439 absolute error = 1.3109294053397321253799e-11 relative error = 2.4330830438801456040748312948085e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.96 y[1] (analytic) = 0.053982931132126339838713751768005 y[1] (numeric) = 0.053982931145578225792473158521638 absolute error = 1.3451885953759406753633e-11 relative error = 2.4918776494064650619722036980480e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.959 y[1] (analytic) = 0.054086608056770549734385780607345 y[1] (numeric) = 0.054086608070565350115221710373618 absolute error = 1.3794800380835929766273e-11 relative error = 2.5505020330275822648942155184461e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=41.9MB, alloc=4.3MB, time=3.81 x[1] = -0.958 y[1] (analytic) = 0.05419038390935134930626187120468 y[1] (numeric) = 0.054190383923489386620115286541159 absolute error = 1.4138037313853415336479e-11 relative error = 2.6089568469386113089356331029630e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.957 y[1] (analytic) = 0.054294258687830203333431163442605 y[1] (numeric) = 0.054294258702311800065449707065305 absolute error = 1.4481596732018543622700e-11 relative error = 2.6672427402097533018852062354807e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.956 y[1] (analytic) = 0.054398232390166703420494442415735 y[1] (numeric) = 0.054398232404992182035012592887275 absolute error = 1.4825478614518150471540e-11 relative error = 2.7253603588042463932991660072608e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.955 y[1] (analytic) = 0.054502305014318568234572463869475 y[1] (numeric) = 0.05450230502948825117509169186322 absolute error = 1.5169682940519227993745e-11 relative error = 2.7833103455961956257820546655969e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=45.7MB, alloc=4.3MB, time=4.18 x[1] = -0.954 y[1] (analytic) = 0.054606476558241643742517041943875 y[1] (numeric) = 0.054606476573755853431685967085588 absolute error = 1.5514209689168925141713e-11 relative error = 2.8410933403882835261674114149194e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.953 y[1] (analytic) = 0.054710747019889903448324831364505 y[1] (numeric) = 0.054710747035748962287919379653091 absolute error = 1.5859058839594548288586e-11 relative error = 2.8987099799293623474080763900329e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.952 y[1] (analytic) = 0.054815116397215448630753736170645 y[1] (numeric) = 0.054815116413419679001657297979504 absolute error = 1.6204230370903561808859e-11 relative error = 2.9561608979319288641451943955077e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.951 y[1] (analytic) = 0.05491958468816850858114187701921 y[1] (numeric) = 0.054919584704718232843325465679854 absolute error = 1.6549724262183588660644e-11 relative error = 3.0134467250894826172187410359982e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=49.5MB, alloc=4.3MB, time=4.54 x[1] = -0.95 y[1] (analytic) = 0.055024151890697440841429049051555 y[1] (numeric) = 0.055024151907592981333931460020858 absolute error = 1.6895540492502410969303e-11 relative error = 3.0705680890937684946352610623924e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.949 y[1] (analytic) = 0.055128818002748731442380602257995 y[1] (numeric) = 0.055128818019990410483288572870857 absolute error = 1.7241679040907970612862e-11 relative error = 3.1275256146519045290391604410052e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.948 y[1] (analytic) = 0.05523358302226699514201367622405 y[1] (numeric) = 0.055233583039855135028442046032887 absolute error = 1.7588139886428369808837e-11 relative error = 3.1843199235033957840667791727899e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.947 y[1] (analytic) = 0.0553384469471949756642257210903 y[1] (numeric) = 0.05533844696512989867229759279297 absolute error = 1.7934923008071871702670e-11 relative error = 3.2409516344370351946127990902000e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=53.4MB, alloc=4.4MB, time=4.90 x[1] = -0.946 y[1] (analytic) = 0.05544340977547354593762523650645 y[1] (numeric) = 0.055443409793755574322452137464178 absolute error = 1.8282028384826900957728e-11 relative error = 3.2974213633076922186113322114042e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.945 y[1] (analytic) = 0.05554847150504170833456466030858 y[1] (numeric) = 0.055548471523671164330226704655544 absolute error = 1.8629455995662044346964e-11 relative error = 3.3537297230529901506479167401311e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.944 y[1] (analytic) = 0.055653632133836594910375338597505 y[1] (numeric) = 0.055653632152813800729901389943419 absolute error = 1.8977205819526051345914e-11 relative error = 3.4098773237098729403986956023992e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.943 y[1] (analytic) = 0.055758891659793467642804508843895 y[1] (numeric) = 0.055758891679118745478152343571491 absolute error = 1.9325277835347834727596e-11 relative error = 3.4658647724310623518790904503214e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=57.2MB, alloc=4.4MB, time=5.26 x[1] = -0.942 y[1] (analytic) = 0.055864250080845718671654227595575 y[1] (numeric) = 0.055864250100519390693690698754257 absolute error = 1.9673672022036471158682e-11 relative error = 3.5216926735014062921617933087955e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.941 y[1] (analytic) = 0.05596970739492487053862217430997 y[1] (numeric) = 0.055969707414947258897103376107434 absolute error = 2.0022388358481201797464e-11 relative error = 3.5773616283541191313911092926340e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.94 y[1] (analytic) = 0.056075263599960576427344262784175 y[1] (numeric) = 0.056075263620332003250895695677453 absolute error = 2.0371426823551432893278e-11 relative error = 3.6328722355869148287928631551582e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.939 y[1] (analytic) = 0.056180918693880620403638991603335 y[1] (numeric) = 0.056180918714601407799735727990928 absolute error = 2.0720787396096736387593e-11 relative error = 3.6882250909780336725687560386362e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=61.0MB, alloc=4.4MB, time=5.62 x[1] = -0.938 y[1] (analytic) = 0.056286672674610917655953464977095 y[1] (numeric) = 0.056286672695681387710900315493741 absolute error = 2.1070470054946850516646e-11 relative error = 3.7434207875021634346627128608525e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.937 y[1] (analytic) = 0.056392525540075514736011015282525 y[1] (numeric) = 0.056392525561495989514922695698184 absolute error = 2.1420474778911680415659e-11 relative error = 3.7984599153462557346360374417890e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.936 y[1] (analytic) = 0.05649847728819658979966035858075 y[1] (numeric) = 0.05649847730996739134644165730544 absolute error = 2.1770801546781298724690e-11 relative error = 3.8533430619252384001760759926972e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.935 y[1] (analytic) = 0.05660452791689445284792621432351 y[1] (numeric) = 0.056604527939015903185252160519548 absolute error = 2.2121450337325946196038e-11 relative error = 3.9080708118976246050878001113894e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=64.8MB, alloc=4.4MB, time=5.97 x[1] = -0.934 y[1] (analytic) = 0.0567106774240875459682613204146 y[1] (numeric) = 0.056710677446559967097557352717903 absolute error = 2.2472421129296032303303e-11 relative error = 3.9626437471810195590603878282558e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.933 y[1] (analytic) = 0.056816925807692443575999774740355 y[1] (numeric) = 0.056816925830516157477421910592287 absolute error = 2.2823713901422135851932e-11 relative error = 4.0170624469675255169253582272973e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.932 y[1] (analytic) = 0.05692327306562385265601163423186 y[1] (numeric) = 0.056923273088799181288426639823408 absolute error = 2.3175328632415005591548e-11 relative error = 4.0713274877390458687384831255910e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.931 y[1] (analytic) = 0.057029719195794613004558702471255 y[1] (numeric) = 0.057029719219321878305524263300928 absolute error = 2.3527265300965560829673e-11 relative error = 4.1254394432824890654904498610709e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.93 y[1] (analytic) = 0.057136264196115697471351436802745 y[1] (numeric) = 0.057136264219995221357096328850029 absolute error = 2.3879523885744892047284e-11 relative error = 4.1793988847048731290508510973379e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=68.6MB, alloc=4.4MB, time=6.33 x[1] = -0.929 y[1] (analytic) = 0.05724290806449621220180690585887 y[1] (numeric) = 0.057242908088728316567211167374628 absolute error = 2.4232104365404261515758e-11 relative error = 4.2332063804483314885075628193214e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.928 y[1] (analytic) = 0.057349650798843396879507728360905 y[1] (numeric) = 0.057349650823428403598082832276505 absolute error = 2.4585006718575103915600e-11 relative error = 4.2868624963050208789823647269344e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.927 y[1] (analytic) = 0.05745649239706262496886192400203 y[1] (numeric) = 0.057456492422000855892730950958739 absolute error = 2.4938230923869026956709e-11 relative error = 4.3403677954319320327209457991194e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.926 y[1] (analytic) = 0.057563432857057403957963607170825 y[1] (numeric) = 0.057563432882349180917841419171063 absolute error = 2.5291776959877812000238e-11 relative error = 4.3937228383656038861953225725176e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=72.4MB, alloc=4.4MB, time=6.69 x[1] = -0.925 y[1] (analytic) = 0.057670472176729375601654454221785 y[1] (numeric) = 0.057670472202375020406827868903968 absolute error = 2.5645644805173414682183e-11 relative error = 4.4469281830367420209140447416345e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.924 y[1] (analytic) = 0.05777761035397831616478587494921 y[1] (numeric) = 0.057777610379978150603093840487663 absolute error = 2.5999834438307965538453e-11 relative error = 4.4999843847847420495689787565572e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.923 y[1] (analytic) = 0.057884847386702136665681818869595 y[1] (numeric) = 0.057884847413056482503495589501297 absolute error = 2.6354345837813770631702e-11 relative error = 4.5528919963721186532952231982833e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.922 y[1] (analytic) = 0.057992183272796883119802146867515 y[1] (numeric) = 0.057992183299506062102005459047187 absolute error = 2.6709178982203312179672e-11 relative error = 4.6056515679988409698391021121795e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=76.2MB, alloc=4.4MB, time=7.05 x[1] = -0.921 y[1] (analytic) = 0.05809961801015673678360649870895 y[1] (numeric) = 0.058099618037221070633575747894186 absolute error = 2.7064333849969249185236e-11 relative error = 4.6582636473165750266709631772964e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.92 y[1] (analytic) = 0.05820715159667401439861858687563 y[1] (numeric) = 0.058207151624093824818203004943721 absolute error = 2.7419810419584418068091e-11 relative error = 4.7107287794428339072573670510962e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.919 y[1] (analytic) = 0.05831478403023916843569084712353 y[1] (numeric) = 0.058314784058014777105192680421495 absolute error = 2.7775608669501833297965e-11 relative error = 4.7630475069750363329654878138240e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.918 y[1] (analytic) = 0.058422515308740787339469376117675 y[1] (numeric) = 0.058422515336872515917624064147325 absolute error = 2.8131728578154688029650e-11 relative error = 4.8152203700044743374753302669703e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=80.1MB, alloc=4.4MB, time=7.41 x[1] = -0.917 y[1] (analytic) = 0.058530345430065595773059086445585 y[1] (numeric) = 0.058530345458553765897015441185117 absolute error = 2.8488170123956354739532e-11 relative error = 4.8672479061301907048431914631795e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.916 y[1] (analytic) = 0.058638274392098454862889009260745 y[1] (numeric) = 0.058638274420943388148189395124533 absolute error = 2.8844933285300385863788e-11 relative error = 4.9191306504727668368756894302169e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.915 y[1] (analytic) = 0.058746302192722362443777674757235 y[1] (numeric) = 0.058746302221924380484338189195502 absolute error = 2.9202018040560514438267e-11 relative error = 4.9708691356880217099284856159485e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.914 y[1] (analytic) = 0.058854428829818453304198500626335 y[1] (numeric) = 0.058854428859377877672289155366359 absolute error = 2.9559424368090654740024e-11 relative error = 5.0224638919806225757677006530275e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=83.9MB, alloc=4.4MB, time=7.76 x[1] = -0.913 y[1] (analytic) = 0.05896265430126599943174511859568 y[1] (numeric) = 0.058962654331183151677970021526075 absolute error = 2.9917152246224902930395e-11 relative error = 5.0739154471176080557007137458336e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.912 y[1] (analytic) = 0.059070978604942410258796569100765 y[1] (numeric) = 0.059070978635217611912074106800721 absolute error = 3.0275201653277537699956e-11 relative error = 5.1252243264418242718924617874103e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.911 y[1] (analytic) = 0.05917940173872323290838229408924 y[1] (numeric) = 0.059179401769356805475925315004085 absolute error = 3.0633572567543020914845e-11 relative error = 5.1763910528852746543178935256824e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.91 y[1] (analytic) = 0.05928792370048215244024685790712 y[1] (numeric) = 0.059287923731474417407542856172108 absolute error = 3.0992264967295998264988e-11 relative error = 5.2274161469823840567118159322613e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=87.7MB, alloc=4.4MB, time=8.12 x[1] = -0.909 y[1] (analytic) = 0.059396544488090992097114326166835 y[1] (numeric) = 0.059396544519442270927905626080641 absolute error = 3.1351278830791299913806e-11 relative error = 5.2783001268831778094921703647269e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.908 y[1] (analytic) = 0.05950526409941971355115223244611 y[1] (numeric) = 0.059505264131130327687416173595868 absolute error = 3.1710614136263941149758e-11 relative error = 5.3290435083663763325908030544197e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.907 y[1] (analytic) = 0.05961408253233641715063506261725 y[1] (numeric) = 0.059614082564406688012564185656631 absolute error = 3.2070270861929123039381e-11 relative error = 5.3796468048524059258820522016719e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.906 y[1] (analytic) = 0.059722999784707342166807186555705 y[1] (numeric) = 0.059722999817137591152789419637815 absolute error = 3.2430248985982233082110e-11 relative error = 5.4301105274163263499248415636509e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.905 y[1] (analytic) = 0.05983201585439686704094516692718 y[1] (numeric) = 0.05983201588718741552754401279392 memory used=91.5MB, alloc=4.4MB, time=8.49 absolute error = 3.2790548486598845866740e-11 relative error = 5.4804351848006758046296658998774e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.904 y[1] (analytic) = 0.05994113073926750963161937470242 y[1] (numeric) = 0.059941130772418678973554098431937 absolute error = 3.3151169341934723729517e-11 relative error = 5.5306212834282339084957020570385e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.903 y[1] (analytic) = 0.060050344437179927462154840998705 y[1] (numeric) = 0.060050344470692038992280658412686 absolute error = 3.3512111530125817413981e-11 relative error = 5.5806693274147032761440563493023e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.902 y[1] (analytic) = 0.06015965694599291796829127479741 y[1] (numeric) = 0.060159656979866292997579541529844 absolute error = 3.3873375029288266732434e-11 relative error = 5.6305798185813102869343895450161e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.901 y[1] (analytic) = 0.06026906826356341874604217603692 y[1] (numeric) = 0.060269068297798378563560577266002 absolute error = 3.4234959817518401229082e-11 relative error = 5.6803532564673256326292941319737e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=95.3MB, alloc=4.4MB, time=8.85 x[1] = -0.9 y[1] (analytic) = 0.06037857838774650779975297353032 y[1] (numeric) = 0.060378578422343373672645714375231 absolute error = 3.4596865872892740844911e-11 relative error = 5.7299901383425052272642157465224e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.899 y[1] (analytic) = 0.06048818731639540379035811710763 y[1] (numeric) = 0.060488187351354496963826113691829 absolute error = 3.4959093173467996584199e-11 relative error = 5.7794909592194520575898118492200e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.898 y[1] (analytic) = 0.060597895047361466283837053332365 y[1] (numeric) = 0.060597895082683107981118124515128 absolute error = 3.5321641697281071182763e-11 relative error = 5.8288562118658995477649682474126e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.897 y[1] (analytic) = 0.060707701578494195999869014092675 y[1] (numeric) = 0.060707701614178707422218073870504 absolute error = 3.5684511422349059777829e-11 relative error = 5.8780863868169170072650674609170e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=99.1MB, alloc=4.4MB, time=9.21 x[1] = -0.896 y[1] (analytic) = 0.060817606907641235060686547317395 y[1] (numeric) = 0.060817606943688937387355797897033 absolute error = 3.6047702326669250579638e-11 relative error = 5.9271819723870377263710934432189e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.895 y[1] (analytic) = 0.06092761103264836724012771901775 y[1] (numeric) = 0.060927611069059581628346844562542 absolute error = 3.6411214388219125544792e-11 relative error = 5.9761434546823102789926617885585e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.894 y[1] (analytic) = 0.061037713951359518212886915806 y[1] (numeric) = 0.061037713988134565797843276857205 absolute error = 3.6775047584956361051205e-11 relative error = 6.0249713176122735880024686837096e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.893 y[1] (analytic) = 0.06114791566161675580396417699242 y[1] (numeric) = 0.06114791569875595769878300556721 absolute error = 3.7139201894818828574790e-11 relative error = 6.0736660429018563037917666906647e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=103.0MB, alloc=4.4MB, time=9.57 x[1] = -0.892 y[1] (analytic) = 0.06125821616126029023831298531256 y[1] (numeric) = 0.061258216198763967534037580680475 absolute error = 3.7503677295724595367915e-11 relative error = 6.1222281101032010422691612878868e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.891 y[1] (analytic) = 0.061368615448128474390686445287415 y[1] (numeric) = 0.061368615485996948156258370426873 absolute error = 3.7868473765571925139458e-11 relative error = 6.1706579966074140240611579474681e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.89 y[1] (analytic) = 0.061479113520057804035681778169275 y[1] (numeric) = 0.061479113558291395317921056905933 absolute error = 3.8233591282239278736658e-11 relative error = 6.2189561776562406523421735878302e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.889 y[1] (analytic) = 0.06158971037488291809798306237696 y[1] (numeric) = 0.061589710413481947921568377205542 absolute error = 3.8599029823585314828582e-11 relative error = 6.2671231263536675623087442370836e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=106.8MB, alloc=4.4MB, time=9.94 x[1] = -0.888 y[1] (analytic) = 0.061700406010436598902802148274315 y[1] (numeric) = 0.061700406049401388270251038865756 absolute error = 3.8964789367448890591441e-11 relative error = 6.3151593136774516710678231219756e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.887 y[1] (analytic) = 0.061811200424549772426517676096995 y[1] (numeric) = 0.061811200463880642318166738492469 absolute error = 3.9330869891649062395474e-11 relative error = 6.3630652084905767523518939943159e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.886 y[1] (analytic) = 0.061922093615051508547512125782665 y[1] (numeric) = 0.061922093654748779921497212276324 absolute error = 3.9697271373985086493659e-11 relative error = 6.4108412775526380563263596104573e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.885 y[1] (analytic) = 0.062033085579769021297206827410885 y[1] (numeric) = 0.062033085619833015089443247122988 absolute error = 4.0063993792236419712103e-11 relative error = 6.4584879855311554904912933514117e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=110.6MB, alloc=4.4MB, time=10.30 x[1] = -0.884 y[1] (analytic) = 0.06214417631652766911129486090948 y[1] (numeric) = 0.062144176356958706235457581051617 absolute error = 4.0431037124162720142137e-11 relative error = 6.5060057950128158735484167717872e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.883 y[1] (analytic) = 0.062255365823150955081171773634955 y[1] (numeric) = 0.062255365863949356428675621469132 absolute error = 4.0798401347503847834177e-11 relative error = 6.5533951665146447699873806394420e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.882 y[1] (analytic) = 0.062366654097460527205564044385455 y[1] (numeric) = 0.062366654138626613645543909878733 absolute error = 4.1166086439979865493278e-11 relative error = 6.6006565584951084090383099559800e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.881 y[1] (analytic) = 0.062478041137276178642355222355485 y[1] (numeric) = 0.062478041178810271021646261531924 absolute error = 4.1534092379291039176439e-11 relative error = 6.6477904273651461876097111113145e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=114.4MB, alloc=4.4MB, time=10.66 x[1] = -0.88 y[1] (analytic) = 0.06258952694041584796060966949257 y[1] (numeric) = 0.062589526982318267103727508484217 absolute error = 4.1902419143117838991647e-11 relative error = 6.6947972274991342528066599809750e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.879 y[1] (analytic) = 0.06270111150469561939279383466697 y[1] (numeric) = 0.062701111546966686101914774465598 absolute error = 4.2271066709120939798628e-11 relative error = 6.7416774112457806556439462198785e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.878 y[1] (analytic) = 0.062812794827929723087194988016435 y[1] (numeric) = 0.062812794870569758142136209927805 absolute error = 4.2640035054941221911370e-11 relative error = 6.7884314289389525636427130271649e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.877 y[1] (analytic) = 0.062924576907930535360537343779125 y[1] (numeric) = 0.062924576950939859518737115581459 absolute error = 4.3009324158199771802334e-11 relative error = 6.8350597289084360160687366838217e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.876 y[1] (analytic) = 0.063036457742508578950795499878615 y[1] (numeric) = 0.06303645778588751294729338268714 absolute error = 4.3378933996497882808525e-11 relative error = 6.8815627574906287017394637581088e-08 % Correct digits = 9 h = 0.001 NO POLE memory used=118.2MB, alloc=4.4MB, time=11.03 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.875 y[1] (analytic) = 0.0631484373294725232702051224764 y[1] (numeric) = 0.063148437373221387817622178315553 absolute error = 4.3748864547417055839153e-11 relative error = 6.9279409590391662354191143203371e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.874 y[1] (analytic) = 0.06326051566662918465847080365794 y[1] (numeric) = 0.063260515710748300446989803743051 absolute error = 4.4119115788519000085111e-11 relative error = 6.9741947759354824050969690756802e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.873 y[1] (analytic) = 0.063372692751783526636171020369645 y[1] (numeric) = 0.063372692796273214333516654099936 absolute error = 4.4489687697345633730291e-11 relative error = 7.0203246485993038586413101873539e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.872 y[1] (analytic) = 0.063484968582738660158360122675635 y[1] (numeric) = 0.063484968627599240409779207340126 absolute error = 4.4860580251419084664491e-11 relative error = 7.0663310154990796945429982903626e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=122.0MB, alloc=4.4MB, time=11.38 x[1] = -0.871 y[1] (analytic) = 0.0635973431572958438683672793538 y[1] (numeric) = 0.063597343202527637296608970552012 absolute error = 4.5231793428241691198212e-11 relative error = 7.1122143131623464178459237054126e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.87 y[1] (analytic) = 0.063709816473254484351792308802445 y[1] (numeric) = 0.06370981651885781155708831158159 absolute error = 4.5603327205296002779145e-11 relative error = 7.1579749761860287186121860333328e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.869 y[1] (analytic) = 0.06382238852841213639069832317984 y[1] (numeric) = 0.063822388574387317950743103890242 absolute error = 4.5975181560044780710402e-11 relative error = 7.2036134372466765266721453116432e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.868 y[1] (analytic) = 0.06393505932056450321800111365029 y[1] (numeric) = 0.063935059366911859687932112520879 absolute error = 4.6347356469930998870589e-11 relative error = 7.2491301271106387928104173433893e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=125.8MB, alloc=4.4MB, time=11.74 x[1] = -0.867 y[1] (analytic) = 0.064047828847505436772055204561925 y[1] (numeric) = 0.064047828894225288684433048997535 absolute error = 4.6719851912377844435610e-11 relative error = 7.2945254746441744429320169354418e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.866 y[1] (analytic) = 0.064160697107026937951436504332755 y[1] (numeric) = 0.064160697154119605816225222934901 absolute error = 4.7092667864788718602146e-11 relative error = 7.3397999068235009482191524204526e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.865 y[1] (analytic) = 0.06427366409691915686992148077265 y[1] (numeric) = 0.064273664144384961174468718085753 absolute error = 4.7465804304547237313103e-11 relative error = 7.3849538487447809508324308896207e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.864 y[1] (analytic) = 0.064386729814970393111662788521095 y[1] (numeric) = 0.064386729862809654320680020505693 absolute error = 4.7839261209017231984598e-11 relative error = 7.4299877236340473811165631621438e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=129.7MB, alloc=4.4MB, time=12.11 x[1] = -0.863 y[1] (analytic) = 0.06449989425896709598656127623121 y[1] (numeric) = 0.064499894307180134542104026466156 absolute error = 4.8213038555542750234946e-11 relative error = 7.4749019528570674989603776598684e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.862 y[1] (analytic) = 0.06461315742669386478583430108294 y[1] (numeric) = 0.064613157475281001107282357698196 absolute error = 4.8587136321448056615256e-11 relative error = 7.5196969559291462884080878180864e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.861 y[1] (analytic) = 0.06472651931593344903778027815927 y[1] (numeric) = 0.06472651936489500352181791150116 absolute error = 4.8961554484037633341890e-11 relative error = 7.5643731505248696313298982658289e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.86 y[1] (analytic) = 0.0648399799244667487637393921713 y[1] (numeric) = 0.064839979973803041784335573201995 absolute error = 4.9336293020596181030695e-11 relative error = 7.6089309524877876825466293052817e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=133.5MB, alloc=4.4MB, time=12.47 x[1] = -0.859 y[1] (analytic) = 0.06495353925007281473425039896962 y[1] (numeric) = 0.064953539299784166642639018402601 absolute error = 4.9711351908388619432981e-11 relative error = 7.6533707758400388654825677999844e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.858 y[1] (analytic) = 0.065067197290528848725403444230995 y[1] (numeric) = 0.065067197340615579850063532404368 absolute error = 5.0086731124660088173373e-11 relative error = 7.6976930327919149041434150077956e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.857 y[1] (analytic) = 0.06518095404361020377538882666142 y[1] (numeric) = 0.065180954094072634422024774150764 absolute error = 5.0462430646635947489344e-11 relative error = 7.7418981337513673038943310079183e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.856 y[1] (analytic) = 0.065294809507090384441241633007965 y[1] (numeric) = 0.065294809557928834892763411980645 absolute error = 5.0838450451521778972680e-11 relative error = 7.7859864873334556903377330606893e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=137.3MB, alloc=4.4MB, time=12.83 x[1] = -0.855 y[1] (analytic) = 0.06540876367874104705578217212424 y[1] (numeric) = 0.065408763729955837572285558436772 absolute error = 5.1214790516503386312532e-11 relative error = 7.8299585003697384122834087251789e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.854 y[1] (analytic) = 0.065522816556331999984752135285365 y[1] (numeric) = 0.065522816607923450803498931325884 absolute error = 5.1591450818746796040519e-11 relative error = 7.8738145779176058117403162741829e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.853 y[1] (analytic) = 0.065636968137631203884146409901135 y[1] (numeric) = 0.065636968189599635219544668178578 absolute error = 5.1968431335398258277443e-11 relative error = 7.9175551232695565605612632786495e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.852 y[1] (analytic) = 0.06575121842040477195774047372732 y[1] (numeric) = 0.065751218472750504001324721209178 absolute error = 5.2345732043584247481858e-11 relative error = 7.9611805379624174603440541758604e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=141.1MB, alloc=4.4MB, time=13.18 x[1] = -0.851 y[1] (analytic) = 0.065865567402416970214813296627235 y[1] (numeric) = 0.065865567455140323135224759827763 absolute error = 5.2723352920411463200528e-11 relative error = 8.0046912217865070990558954192164e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.85 y[1] (analytic) = 0.065980015081430217728065676887975 y[1] (numeric) = 0.065980015134531511671032507708517 absolute error = 5.3101293942966830820542e-11 relative error = 8.0480875727947437547294342575170e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.849 y[1] (analytic) = 0.066094561455205086891733939047245 y[1] (numeric) = 0.066094561508684641980051441370638 absolute error = 5.3479555088317502323393e-11 relative error = 8.0913699873116979336097020487216e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.848 y[1] (analytic) = 0.066209206521500303679898920139385 y[1] (numeric) = 0.066209206575358440013409777180115 absolute error = 5.3858136333510857040730e-11 relative error = 8.1345388599425899270155966490489e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.847 y[1] (analytic) = 0.066323950278072747904990171220745 y[1] (numeric) = 0.06632395033230978556056467363281 absolute error = 5.4237037655574502412065e-11 relative error = 8.1775945835822327682680948792156e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=144.9MB, alloc=4.4MB, time=13.57 x[1] = -0.846 y[1] (analytic) = 0.066438792722677453476485300987275 y[1] (numeric) = 0.066438792777293712508001575731462 absolute error = 5.4616259031516274744187e-11 relative error = 8.2205375494239209679845453702587e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.845 y[1] (analytic) = 0.06655373385306760865980438824897 y[1] (numeric) = 0.066553733908063409098128628221409 absolute error = 5.4995800438324239972439e-11 relative error = 8.2633681469682654031528601939851e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.844 y[1] (analytic) = 0.06666877366699455633539938997822 y[1] (numeric) = 0.066668773722370218188366084402082 absolute error = 5.5375661852966694423862e-11 relative error = 8.3060867640319747324550252298846e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.843 y[1] (analytic) = 0.06678391216220779425803847160156 y[1] (numeric) = 0.066783912217963637510430637183604 absolute error = 5.5755843252392165582044e-11 relative error = 8.3486937867565837073884494403992e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=148.7MB, alloc=4.4MB, time=13.96 x[1] = -0.842 y[1] (analytic) = 0.06689914933645497531628518615616 y[1] (numeric) = 0.066899149392591319929814599010126 absolute error = 5.6136344613529412853966e-11 relative error = 8.3911895996171287459308334943023e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.841 y[1] (analytic) = 0.06701448518748190779217242888538 y[1] (numeric) = 0.067014485243999073705459857223905 absolute error = 5.6517165913287428338525e-11 relative error = 8.4335745854307711325560339389483e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.84 y[1] (analytic) = 0.06712991971303255562107109379952 y[1] (numeric) = 0.067129919769930862749626531396517 absolute error = 5.6898307128555437596997e-11 relative error = 8.4758491253653682056741542116566e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.839 y[1] (analytic) = 0.06724545291084903865175335868078 y[1] (numeric) = 0.06724545296812880688795625910602 absolute error = 5.7279768236202900425240e-11 relative error = 8.5180135989479928907022424515804e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=152.5MB, alloc=4.4MB, time=14.35 x[1] = -0.838 y[1] (analytic) = 0.06736108477867163290665052496349 y[1] (numeric) = 0.067361084836333182119730036591362 absolute error = 5.7661549213079511627872e-11 relative error = 8.5600683840734019342635699554880e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.837 y[1] (analytic) = 0.06747681531423877084230533887368 y[1] (numeric) = 0.067476815372282420878320540667825 absolute error = 5.8043650036015201794145e-11 relative error = 8.6020138570124531921872518342417e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.836 y[1] (analytic) = 0.06759264451528704161001872016414 y[1] (numeric) = 0.067592644573713112291838858239856 absolute error = 5.8426070681820138075716e-11 relative error = 8.6438503924204723213256080949739e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.835 y[1] (analytic) = 0.06770857237955119131669082473384 y[1] (numeric) = 0.0677085724383600024439755497002 absolute error = 5.8808811127284724966360e-11 relative error = 8.6855783633455692224806555048335e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=156.4MB, alloc=4.4MB, time=14.75 x[1] = -0.834 y[1] (analytic) = 0.067824598904764123285856367373525 y[1] (numeric) = 0.067824598963955994635035972456882 absolute error = 5.9191871349179605083357e-11 relative error = 8.7271981412369045790054920095280e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.833 y[1] (analytic) = 0.067940724088656898318914130831415 y[1] (numeric) = 0.067940724148232149643169790782253 absolute error = 5.9575251324255659950838e-11 relative error = 8.7687100959529068330718313707309e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.832 y[1] (analytic) = 0.068056947928958734956550587345975 y[1] (numeric) = 0.068056947988917685985794598130986 absolute error = 5.9958951029244010785011e-11 relative error = 8.8101145957694399389071776507275e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.831 y[1] (analytic) = 0.068173270423397009740357558745525 y[1] (numeric) = 0.068173270483739980181213578026676 absolute error = 6.0342970440856019281151e-11 relative error = 8.8514120073879222296886747545578e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=160.2MB, alloc=4.4MB, time=15.14 x[1] = -0.83 y[1] (analytic) = 0.068289691569697257474643841166895 y[1] (numeric) = 0.068289691630424567010427129569446 absolute error = 6.0727309535783288402551e-11 relative error = 8.8926026959433967322378534822726e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.829 y[1] (analytic) = 0.06840621136558317148844072039855 y[1] (numeric) = 0.068406211426695139779138383569787 absolute error = 6.1111968290697663171237e-11 relative error = 8.9336870250125532610357258014460e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.828 y[1] (analytic) = 0.068522829808776603897701303806145 y[1] (numeric) = 0.068522829870273550579952535266706 absolute error = 6.1496946682251231460561e-11 relative error = 8.9746653566217026205785666932859e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.827 y[1] (analytic) = 0.06863954689699756586769359475136 y[1] (numeric) = 0.068639546958879810554769919541149 absolute error = 6.1882244687076324789789e-11 relative error = 9.0155380512547032425717293687329e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=164.0MB, alloc=4.4MB, time=15.55 x[1] = -0.826 y[1] (analytic) = 0.06875636262796422787558723536822 y[1] (numeric) = 0.068756362690232090157372754488582 absolute error = 6.2267862281785519120362e-11 relative error = 9.0563054678608405818930389767705e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.825 y[1] (analytic) = 0.06887327699939291997323384351339 y[1] (numeric) = 0.068873277062046719416205479167593 absolute error = 6.2653799442971635654203e-11 relative error = 9.0969679638626595928784194697178e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.824 y[1] (analytic) = 0.068990290008998132050140869660635 y[1] (numeric) = 0.068990290072038188197348611294372 absolute error = 6.3040056147207741633737e-11 relative error = 9.1375258951637506049199809931480e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.823 y[1] (analytic) = 0.069107401654492514096638899462005 y[1] (numeric) = 0.069107401717919146467686050605973 absolute error = 6.3426632371047151143968e-11 relative error = 9.1779796161564889140269463158555e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.822 y[1] (analytic) = 0.06922461193358687646724232765208 y[1] (numeric) = 0.069224611997400404558265753568331 absolute error = 6.3813528091023425916251e-11 relative error = 9.2183294797297284044793521679876e-08 % Correct digits = 9 h = 0.001 memory used=167.8MB, alloc=4.4MB, time=15.94 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.821 y[1] (analytic) = 0.06934192084399019014420332892405 y[1] (numeric) = 0.069341920908190933427853705058153 absolute error = 6.4200743283650376134103e-11 relative error = 9.2585758372764495124097059421615e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.82 y[1] (analytic) = 0.06945932838340958700125905136014 y[1] (numeric) = 0.069459328447997864926681112600919 absolute error = 6.4588277925422061240779e-11 relative error = 9.2987190387013618406811576909244e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.819 y[1] (analytic) = 0.06957683454955036006757195795166 y[1] (numeric) = 0.069576834614526492060384748700467 absolute error = 6.4976131992812790748807e-11 relative error = 9.3387594324284617321416913159139e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.818 y[1] (analytic) = 0.06969443934011596379186324169746 y[1] (numeric) = 0.069694439405480269254140366748838 absolute error = 6.5364305462277125051378e-11 relative error = 9.3786973654085451059537776634913e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=171.6MB, alloc=4.4MB, time=16.34 x[1] = -0.817 y[1] (analytic) = 0.06981214275280801430673923972267 y[1] (numeric) = 0.069812142818560812616989115958344 absolute error = 6.5752798310249876235674e-11 relative error = 9.4185331831266758594087419343435e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.816 y[1] (analytic) = 0.06992994478532628969321077181313 y[1] (numeric) = 0.069929944851467900206356880711137 absolute error = 6.6141610513146108898007e-11 relative error = 9.4582672296096101353072902139007e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.815 y[1] (analytic) = 0.070047845435368730245405328713995 y[1] (numeric) = 0.070047845501899472292766469674889 absolute error = 6.6530742047361140960894e-11 relative error = 9.4978998474331767527456246960870e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.814 y[1] (analytic) = 0.07016584470063143873547203549447 y[1] (numeric) = 0.070165844767551631624742579986606 absolute error = 6.6920192889270544492136e-11 relative error = 9.5374313777296140968791771584882e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=175.4MB, alloc=4.4MB, time=16.73 x[1] = -0.813 y[1] (analytic) = 0.07028394257880868067867931523441 y[1] (numeric) = 0.070283942646118643693909461760001 absolute error = 6.7309963015230146525591e-11 relative error = 9.5768621601948637609420671193130e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.812 y[1] (analytic) = 0.07040213906759288459870517824132 y[1] (numeric) = 0.070402139135292937000281208125337 absolute error = 6.7700052401576029884017e-11 relative error = 9.6161925330958212316772609717514e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.811 y[1] (analytic) = 0.07052043416467464229312006196037 y[1] (numeric) = 0.070520434232765103317744595964135 absolute error = 6.8090461024624534003765e-11 relative error = 9.6554228332775439070446819899641e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.81 y[1] (analytic) = 0.07063882786774270909906214669332 y[1] (numeric) = 0.070638827936223897959734402454707 absolute error = 6.8481188860672255761387e-11 relative error = 9.6945533961704167329312969459361e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=179.2MB, alloc=4.4MB, time=17.12 x[1] = -0.809 y[1] (analytic) = 0.07075732017448400415910507219592 y[1] (numeric) = 0.070757320243356240045101122498033 absolute error = 6.8872235885996050302113e-11 relative error = 9.7335845557972757434057316263996e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.808 y[1] (analytic) = 0.07087591108258361068731798017678 y[1] (numeric) = 0.070875911151847212764171012047138 absolute error = 6.9263602076853031870358e-11 relative error = 9.7725166447804897869417592994569e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.807 y[1] (analytic) = 0.070994600589724776235517807674765 y[1] (numeric) = 0.070994600659380063644998382316769 absolute error = 6.9655287409480574642004e-11 relative error = 9.8113499943490007188465974067810e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.806 y[1] (analytic) = 0.071113388693588912959713756245185 y[1] (numeric) = 0.071113388763636204819810069803884 absolute error = 7.0047291860096313558699e-11 relative error = 9.8500849343453223380886371995263e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=183.1MB, alloc=4.4MB, time=17.52 x[1] = -0.805 y[1] (analytic) = 0.071232275391855597886743861839155 y[1] (numeric) = 0.071232275462295213291642007003188 absolute error = 7.0439615404898145164033e-11 relative error = 9.8887217932324983445711294466247e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.804 y[1] (analytic) = 0.07135126068220257318110359021409 y[1] (numeric) = 0.071351260753034831201167818655729 absolute error = 7.0832258020064228441639e-11 relative error = 9.9272608981010195908484451649731e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.803 y[1] (analytic) = 0.07147034456230574641196638266707 y[1] (numeric) = 0.071470344633530966093719368322388 absolute error = 7.1225219681752985655318e-11 relative error = 9.9657025746757009002293994387180e-08 % Correct digits = 9 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.802 y[1] (analytic) = 0.07158952702983919082039607683705 y[1] (numeric) = 0.071589527101457691186499180027939 absolute error = 7.1618500366103103190889e-11 relative error = 1.0004047147322517721114351967782e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=186.9MB, alloc=4.4MB, time=17.91 x[1] = -0.801 y[1] (analytic) = 0.07170880808247514558675112727508 y[1] (numeric) = 0.071708808154487245635984659675243 absolute error = 7.2012100049233532400163e-11 relative error = 1.0042294939055402885485721754942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.8 y[1] (analytic) = 0.071828187717884016098280550436325 y[1] (numeric) = 0.071828187790290034805524040883089 absolute error = 7.2406018707243490446764e-11 relative error = 1.0080446271543003737368592529055e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.799 y[1] (analytic) = 0.07194766593373437421691151870124 y[1] (numeric) = 0.071947666006534630533123979855141 absolute error = 7.2800256316212461153901e-11 relative error = 1.0118501465115399895140165026519e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.798 y[1] (analytic) = 0.072067242727692958547228527987365 y[1] (numeric) = 0.072067242800887771399428723841464 absolute error = 7.3194812852200195854099e-11 relative error = 1.0156460838770781909578467202673e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.797 y[1] (analytic) = 0.07218691809742467470464406346731 y[1] (numeric) = 0.07218691817101436299589077770816 memory used=190.7MB, alloc=4.4MB, time=18.31 absolute error = 7.3589688291246714240850e-11 relative error = 1.0194324710182091077575786073052e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.796 y[1] (analytic) = 0.07230669204059259558376068786254 y[1] (numeric) = 0.072306692114577478193132993084711 absolute error = 7.3984882609372305222171e-11 relative error = 1.0232093395703620669503789596397e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.795 y[1] (analytic) = 0.07242656455485796162692447673658 y[1] (numeric) = 0.072426564629238357409502004512763 absolute error = 7.4380395782577527776183e-11 relative error = 1.0269767210377578826308813127530e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.794 y[1] (analytic) = 0.072546535637880181092969725165575 y[1] (numeric) = 0.072546535712656408879812936974242 absolute error = 7.4776227786843211808667e-11 relative error = 1.0307346467940613380483708440317e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.793 y[1] (analytic) = 0.0726666052873168303261548501185 y[1] (numeric) = 0.072666605362489208924285309130897 absolute error = 7.5172378598130459012397e-11 relative error = 1.0344831480830298853146996538917e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=194.5MB, alloc=4.4MB, time=18.71 x[1] = -0.792 y[1] (analytic) = 0.072786773500823654025289412832975 y[1] (numeric) = 0.0727867735763925022176700565616 absolute error = 7.5568848192380643728625e-11 relative error = 1.0382222560191585877660831429449e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.791 y[1] (analytic) = 0.07290704027605456551305218542758 y[1] (numeric) = 0.072907040352020202058567599238026 absolute error = 7.5965636545515413810446e-11 relative error = 1.0419520015883213298266792162862e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.79 y[1] (analytic) = 0.073027405610661647005500185945595 y[1] (numeric) = 0.073027405687024390638936877433632 absolute error = 7.6362743633436691488037e-11 relative error = 1.0456724156484083190407766816007e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.789 y[1] (analytic) = 0.073147869502295149881768605979205 y[1] (numeric) = 0.073147869579055319313795280215237 absolute error = 7.6760169432026674236032e-11 relative error = 1.0493835289299599047608417359639e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=198.3MB, alloc=4.4MB, time=19.11 x[1] = -0.788 y[1] (analytic) = 0.073268431948603494953961554978115 y[1] (numeric) = 0.073268432025761408871109390620879 absolute error = 7.7157913917147835642764e-11 relative error = 1.0530853720367967377896458425868e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.787 y[1] (analytic) = 0.073389092947233272737233545300695 y[1] (numeric) = 0.073389093024789249801876471582074 absolute error = 7.7555977064642926281379e-11 relative error = 1.0567779754466462950982469579156e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.786 y[1] (analytic) = 0.073509852495829243720061642019945 y[1] (numeric) = 0.073509852573783602570396616603076 absolute error = 7.7954358850334974583131e-11 relative error = 1.0604613695117657935669810891883e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.785 y[1] (analytic) = 0.0736307105920343386347082014517 y[1] (numeric) = 0.073630710670387397884735489164238 absolute error = 7.8353059250027287712538e-11 relative error = 1.0641355844595615165107443197166e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=202.1MB, alloc=4.4MB, time=19.51 x[1] = -0.784 y[1] (analytic) = 0.07375166723348965872787412232676 y[1] (numeric) = 0.073751667312241736967377574771143 absolute error = 7.8752078239503452444383e-11 relative error = 1.0678006503932045765782031295079e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.783 y[1] (analytic) = 0.073872722417834476031542533482735 y[1] (numeric) = 0.073872722496985891826069869525754 absolute error = 7.9151415794527336043019e-11 relative error = 1.0714565972922431384466259925710e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.782 y[1] (analytic) = 0.073993876142706233634012841907195 y[1] (numeric) = 0.073993876222257305524855929050468 absolute error = 7.9551071890843087143273e-11 relative error = 1.0751034550132111245452701832417e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.781 y[1] (analytic) = 0.07411512840574054595112506491698 y[1] (numeric) = 0.07411512848569159245530020155063 absolute error = 7.9951046504175136633650e-11 relative error = 1.0787412532902334268878251364960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=206.0MB, alloc=4.4MB, time=19.90 x[1] = -0.78 y[1] (analytic) = 0.07423647920457119899767437021445 y[1] (numeric) = 0.074236479284922538607902568755762 absolute error = 8.0351339610228198541312e-11 relative error = 1.0823700217356276479076517491019e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.779 y[1] (analytic) = 0.07435792853683015065901574751535 y[1] (numeric) = 0.074357928617582101843703018434526 absolute error = 8.0751951184687270919176e-11 relative error = 1.0859897898405023930326064374356e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.778 y[1] (analytic) = 0.07447947640014753096285873539834 y[1] (numeric) = 0.074479476481300412166076372133214 absolute error = 8.1152881203217636734874e-11 relative error = 1.0896005869753521375607587251348e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.777 y[1] (analytic) = 0.07460112279215164235125212698051 y[1] (numeric) = 0.07460112287370577199271699174239 absolute error = 8.1554129641464864761880e-11 relative error = 1.0932024423906486902399075374671e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=209.8MB, alloc=4.4MB, time=20.30 x[1] = -0.776 y[1] (analytic) = 0.07472286771046895995275857797873 y[1] (numeric) = 0.074722867792424656427813388451178 absolute error = 8.1955696475054810472448e-11 relative error = 1.0967953852174292757802751629815e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.775 y[1] (analytic) = 0.07484471115272413185481904067094 y[1] (numeric) = 0.074844711235081713534412657603582 absolute error = 8.2357581679593616932642e-11 relative error = 1.1003794444678812583750477212669e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.774 y[1] (analytic) = 0.07496665311653997937630694722678 y[1] (numeric) = 0.074966653199299764606974662926189 absolute error = 8.2759785230667715699409e-11 relative error = 1.1039546490359235281370277786016e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.773 y[1] (analytic) = 0.075088693599537497340272065832045 y[1] (numeric) = 0.075088693682699804444115893551571 absolute error = 8.3162307103843827719526e-11 relative error = 1.1075210276977845721974425243009e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.772 y[1] (analytic) = 0.075210832599335854346873952986035 y[1] (numeric) = 0.075210832682901001621542917216728 absolute error = 8.3565147274668964230693e-11 relative error = 1.1110786091125772520595185182213e-07 % Correct digits = 8 h = 0.001 memory used=213.6MB, alloc=4.4MB, time=20.69 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.771 y[1] (analytic) = 0.075333070113552393046504925306485 y[1] (numeric) = 0.075333070197520698765175352970989 absolute error = 8.3968305718670427664504e-11 relative error = 1.1146274218228703086341893318500e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.77 y[1] (analytic) = 0.075455406139802630413102474131315 y[1] (numeric) = 0.075455406224174412824458286682875 absolute error = 8.4371782411355812551560e-11 relative error = 1.1181674942552566162356541472363e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.769 y[1] (analytic) = 0.075577840675700258017651046162125 y[1] (numeric) = 0.075577840760475835345864052590569 absolute error = 8.4775577328213006428444e-11 relative error = 1.1216988547209182066517896185417e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.768 y[1] (analytic) = 0.075700373718857142301873113348985 y[1] (numeric) = 0.075700373804036832746583304095832 absolute error = 8.5179690444710190746847e-11 relative error = 1.1252215314161880842577710194385e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=217.4MB, alloc=4.4MB, time=21.08 x[1] = -0.767 y[1] (analytic) = 0.075823005266883324852109455171745 y[1] (numeric) = 0.075823005352467446588405296956405 absolute error = 8.5584121736295841784660e-11 relative error = 1.1287355524231088529819969321198e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.766 y[1] (analytic) = 0.07594573531738702267338857642814 y[1] (numeric) = 0.075945735403375893851787307987213 absolute error = 8.5988871178398731559073e-11 relative error = 1.1322409457099881757846975689574e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.765 y[1] (analytic) = 0.076068563867974628463685183594325 y[1] (numeric) = 0.076068563954368567210113112335972 absolute error = 8.6393938746427928741647e-11 relative error = 1.1357377391319510871581201044291e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.764 y[1] (analytic) = 0.076191490916250710888367642778565 y[1] (numeric) = 0.07619149100305003530414044235414 absolute error = 8.6799324415772799575575e-11 relative error = 1.1392259604314891790111947188985e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=221.2MB, alloc=4.4MB, time=21.49 x[1] = -0.763 y[1] (analytic) = 0.076314516459818014854834342244745 y[1] (numeric) = 0.076314516547023043016637351039543 absolute error = 8.7205028161803008794798e-11 relative error = 1.1427056372390066801462710346461e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.762 y[1] (analytic) = 0.07643764049627746178733888243717 y[1] (numeric) = 0.0764376405838885117472074029824 absolute error = 8.7611049959868520545230e-11 relative error = 1.1461767970733634493963889795682e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.761 y[1] (analytic) = 0.076560863023228149902004016393925 y[1] (numeric) = 0.076560863111245539687303615701951 absolute error = 8.8017389785299599308026e-11 relative error = 1.1496394673424149023416355126608e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.76 y[1] (analytic) = 0.076684184038267354482024263391535 y[1] (numeric) = 0.076684184126691402095431074216372 absolute error = 8.8424047613406810824837e-11 relative error = 1.1530936753435488913787647982065e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=225.0MB, alloc=4.5MB, time=21.88 x[1] = -0.759 y[1] (analytic) = 0.076807603538990528153057118619095 y[1] (numeric) = 0.076807603627821551572538141644199 absolute error = 8.8831023419481023025104e-11 relative error = 1.1565394482642195587763234973832e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.758 y[1] (analytic) = 0.076931121522991301158802781635525 y[1] (numeric) = 0.076931121612229618337596188591062 absolute error = 8.9238317178793406955537e-11 relative error = 1.1599768131824781822065382424052e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.757 y[1] (analytic) = 0.077054737987861481636772326319765 y[1] (numeric) = 0.077054738077507410503367764031141 absolute error = 8.9645928866595437711376e-11 relative error = 1.1634057970675010320970190010646e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.756 y[1] (analytic) = 0.07717845293119105589424423497852 y[1] (numeric) = 0.077178453021244914352363130348406 absolute error = 9.0053858458118895369886e-11 relative error = 1.1668264267801142600165567434021e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=228.8MB, alloc=4.5MB, time=22.27 x[1] = -0.755 y[1] (analytic) = 0.0773022663505681886844092192325 y[1] (numeric) = 0.077302266441030294612985085158406 absolute error = 9.0462105928575865925906e-11 relative error = 1.1702387290733158371622453206433e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.754 y[1] (analytic) = 0.07742617824357922348270325025774 y[1] (numeric) = 0.077426178334449894735861992487092 absolute error = 9.0870671253158742229352e-11 relative error = 1.1736427305927945618785368757385e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.753 y[1] (analytic) = 0.077550188607808682763328720914165 y[1] (numeric) = 0.077550188699088237170368945838941 absolute error = 9.1279554407040224924776e-11 relative error = 1.1770384578774461550048811549257e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.752 y[1] (analytic) = 0.077674297440839268275963662249365 y[1] (numeric) = 0.07767429753252802364133698564246 absolute error = 9.1688755365373323393095e-11 relative error = 1.1804259373598864617132503299933e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=232.7MB, alloc=4.5MB, time=22.69 x[1] = -0.751 y[1] (analytic) = 0.077798504740251861322658936821735 y[1] (numeric) = 0.077798504832350135425950293516988 absolute error = 9.2098274103291356695253e-11 relative error = 1.1838051953669617783579185521810e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.75 y[1] (analytic) = 0.077922810503625523034923331242605 y[1] (numeric) = 0.077922810596133633630831285760626 absolute error = 9.2508110595907954518021e-11 relative error = 1.1871762581202563227322495539396e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.749 y[1] (analytic) = 0.07804721472853749465099647029323 y[1] (numeric) = 0.078047214821455759469313528415034 absolute error = 9.2918264818317058121804e-11 relative error = 1.1905391517365968659906449144553e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.748 y[1] (analytic) = 0.078171717412563197793309474928255 y[1] (numeric) = 0.078171717505891934538902396218824 absolute error = 9.3328736745592921290569e-11 relative error = 1.1938939022285545443657552998434e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=236.5MB, alloc=4.5MB, time=23.09 x[1] = -0.747 y[1] (analytic) = 0.078296318553276234746133286433475 y[1] (numeric) = 0.078296318647015761098923397717272 absolute error = 9.3739526352790111283797e-11 relative error = 1.1972405355049438686781842352876e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.746 y[1] (analytic) = 0.07842101814824838873341457896164 y[1] (numeric) = 0.078421018242399022348358088752138 absolute error = 9.4150633614943509790498e-11 relative error = 1.2005790773713189495085423369672e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.745 y[1] (analytic) = 0.07854581619504962419679918262606 y[1] (numeric) = 0.07854581628961168270386749651145 absolute error = 9.4562058507068313885390e-11 relative error = 1.2039095535304669557743996400939e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.744 y[1] (analytic) = 0.07867071269124808707384293928825 y[1] (numeric) = 0.078670712786221888078002976275269 absolute error = 9.4973801004160036987019e-11 relative error = 1.2072319895828988243234750596670e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.743 y[1] (analytic) = 0.07879570763441010507640991313154 y[1] (numeric) = 0.078795707729795966157604422949592 absolute error = 9.5385861081194509818052e-11 relative error = 1.2105464110273372380341492315063e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=240.3MB, alloc=4.5MB, time=23.49 x[1] = -0.742 y[1] (analytic) = 0.07892080102210018796925787806917 y[1] (numeric) = 0.078920801117898426682385759436774 absolute error = 9.5798238713127881367604e-11 relative error = 1.2138528432612018897845869207970e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.741 y[1] (analytic) = 0.079045992851881027848811003991395 y[1] (numeric) = 0.079045992948091961723707623847095 absolute error = 9.6210933874896619855700e-11 relative error = 1.2171513115810920495307451422916e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.74 y[1] (analytic) = 0.079171283121313499422119663812625 y[1] (numeric) = 0.079171283217937445963537177512392 absolute error = 9.6623946541417513699767e-11 relative error = 1.2204418411832664516078405196869e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.739 y[1] (analytic) = 0.079296671827956660286007283235805 y[1] (numeric) = 0.079296671924993936973594955718995 absolute error = 9.7037276687587672483190e-11 relative error = 1.2237244571641205192495104318060e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=244.1MB, alloc=4.5MB, time=23.88 x[1] = -0.738 y[1] (analytic) = 0.079422158969367751206404155107465 y[1] (numeric) = 0.07942215906681867549468868303358 absolute error = 9.7450924288284527926115e-11 relative error = 1.2269991845206609431996314990396e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.737 y[1] (analytic) = 0.07954774454310219639786814019387 y[1] (numeric) = 0.079547744640967085716233975051961 absolute error = 9.7864889318365834858091e-11 relative error = 1.2302660481509776311641175448847e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.736 y[1] (analytic) = 0.079673428546713603803292176164195 y[1] (numeric) = 0.079673428644992775555961848357291 absolute error = 9.8279171752669672193096e-11 relative error = 1.2335250728547130447428130700112e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.735 y[1] (analytic) = 0.07979921097775376537379851652424 y[1] (numeric) = 0.079799211076447536939812960430624 absolute error = 9.8693771566014443906384e-11 relative error = 1.2367762833335289403493366394798e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=247.9MB, alloc=4.5MB, time=24.28 x[1] = -0.734 y[1] (analytic) = 0.07992509183377265734881962119966 y[1] (numeric) = 0.079925091932881346082018501213328 absolute error = 9.9108688733198880013668e-11 relative error = 1.2400197041915705305229492734236e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.733 y[1] (analytic) = 0.080051071112318440536365620425195 y[1] (numeric) = 0.080051071211842363765367657977396 absolute error = 9.9523923229002037552201e-11 relative error = 1.2432553599359280819081062064604e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.732 y[1] (analytic) = 0.080177148810937460593478273552175 y[1] (numeric) = 0.080177148910876935621661575116322 absolute error = 9.9939475028183301564147e-11 relative error = 1.2464832749770959660722591061988e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.731 y[1] (analytic) = 0.0803033249271742483068713443439 y[1] (numeric) = 0.080303325027529592412353730425844 absolute error = 1.00355344105482386081944e-10 relative error = 1.2497034736294291792092190992434e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=251.7MB, alloc=4.5MB, time=24.68 x[1] = -0.73 y[1] (analytic) = 0.080429599458571519873757314284755 y[1] (numeric) = 0.080429599559343050309376649400548 absolute error = 1.00771530435619335115793e-10 relative error = 1.2529159801115973466671083790401e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.729 y[1] (analytic) = 0.08055597240267017718286035538578 y[1] (numeric) = 0.080555972503858211176154879029069 absolute error = 1.01188033993294523643289e-10 relative error = 1.2561208185470362281256359231597e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.728 y[1] (analytic) = 0.080682443757009308095615483926215 y[1] (numeric) = 0.080682443858614162848804142527362 absolute error = 1.01604854753188658601147e-10 relative error = 1.2593180129643967391347296541773e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.727 y[1] (analytic) = 0.080809013519126186727553816527245 y[1] (numeric) = 0.080809013621148179417516596406358 absolute error = 1.02021992689962779879113e-10 relative error = 1.2625075872979915046172190126169e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=255.5MB, alloc=4.5MB, time=25.07 x[1] = -0.726 y[1] (analytic) = 0.08093568168655627372987384991133 y[1] (numeric) = 0.08093568178899572150813211122714 absolute error = 1.02439447778258261315810e-10 relative error = 1.2656895653882389598238772566504e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.725 y[1] (analytic) = 0.081062448256833216571198685656745 y[1] (numeric) = 0.081062448359690436563895497353683 absolute error = 1.02857219992696811696938e-10 relative error = 1.2688639709821050141281183399442e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.724 y[1] (analytic) = 0.08118931322748884981951912121465 y[1] (numeric) = 0.081189313330764159127399596970112 absolute error = 1.03275309307880475755462e-10 relative error = 1.2720308277335422929294598044760e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.723 y[1] (analytic) = 0.081316276596053195424322528412475 y[1] (numeric) = 0.081316276699746911122714163586414 absolute error = 1.03693715698391635173939e-10 relative error = 1.2751901592039269728336767258709e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=259.4MB, alloc=4.5MB, time=25.47 x[1] = -0.722 y[1] (analytic) = 0.08144333836005446299890744062451 y[1] (numeric) = 0.081443338464166902137700450213542 absolute error = 1.04112439138793009589032e-10 relative error = 1.2783419888624932251695244305368e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.721 y[1] (analytic) = 0.081570498517019050102883769747775 y[1] (numeric) = 0.081570498621550529706511427345897 absolute error = 1.04531479603627657598122e-10 relative error = 1.2814863400867652827942959275338e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.72 y[1] (analytic) = 0.081697757064471542524858574078285 y[1] (numeric) = 0.081697757169422379592277551846262 absolute error = 1.04950837067418977767977e-10 relative error = 1.2846232361629871450359834906240e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.719 y[1] (analytic) = 0.08182511399993471456530729813966 y[1] (numeric) = 0.081825114105305226069978007785392 absolute error = 1.05370511504670709645732e-10 relative error = 1.2877527002865499355191476791349e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.718 y[1] (analytic) = 0.08195256932092952931963040547373 y[1] (numeric) = 0.081952569426720032209497340245636 absolute error = 1.05790502889866934771906e-10 relative error = 1.2908747555624169275116510846151e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=263.2MB, alloc=4.5MB, time=25.87 x[1] = -0.717 y[1] (analytic) = 0.082080123024975138961395325359665 y[1] (numeric) = 0.082080123131185950158867403055169 absolute error = 1.06210811197472077695504e-10 relative error = 1.2939894250055462513307204393743e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.716 y[1] (analytic) = 0.082207775109588885025763634385305 y[1] (numeric) = 0.082207775216220321427694541376665 absolute error = 1.06631436401930906991360e-10 relative error = 1.2970967315413112982462478449695e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.715 y[1] (analytic) = 0.082335525572286298693103393751905 y[1] (numeric) = 0.082335525679338677170771930031529 absolute error = 1.07052378477668536279624e-10 relative error = 1.3001966980059188352150785918152e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.714 y[1] (analytic) = 0.082463374410581101072786563150775 y[1] (numeric) = 0.082463374518054738471876988398144 absolute error = 1.07473637399090425247369e-10 relative error = 1.3032893471468248446806517308767e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=267.0MB, alloc=4.5MB, time=26.27 x[1] = -0.713 y[1] (analytic) = 0.08259132162198520348717141200763 y[1] (numeric) = 0.082591321729880416627753792679942 absolute error = 1.07895213140582380672312e-10 relative error = 1.3063747016231481035730786930898e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.712 y[1] (analytic) = 0.082719367204008707755769848847735 y[1] (numeric) = 0.082719367312325813432280406296536 absolute error = 1.08317105676510557448801e-10 relative error = 1.3094527840060815155479260042566e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.711 y[1] (analytic) = 0.08284751115415990647959958949277 y[1] (numeric) = 0.082847511262899221460821049108587 absolute error = 1.08739314981221459615817e-10 relative error = 1.3125236167793012103991164544734e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.71 y[1] (analytic) = 0.082975753469945283325721084757305 y[1] (numeric) = 0.082975753579107124354763026144583 absolute error = 1.09161841029041941387278e-10 relative error = 1.3155872223393734244906790641818e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=270.8MB, alloc=4.5MB, time=26.67 x[1] = -0.709 y[1] (analytic) = 0.08310409414886951331195912827081 y[1] (numeric) = 0.08310409425845419710623833645522 absolute error = 1.09584683794279208184410e-10 relative error = 1.3186436229961591759493012158487e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.708 y[1] (analytic) = 0.083232533188435463091809065008355 y[1] (numeric) = 0.083232533298443306343029882678667 absolute error = 1.10007843251220817670312e-10 relative error = 1.3216928409732167482683141156201e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.707 y[1] (analytic) = 0.08336107058614419123952752107089 y[1] (numeric) = 0.083361070696575510613662201857594 absolute error = 1.10431319374134680786704e-10 relative error = 1.3247348984082019958771017103093e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.706 y[1] (analytic) = 0.08348970633949494853540757521366 y[1] (numeric) = 0.083489706450350060672676638006499 absolute error = 1.10855112137269062792839e-10 relative error = 1.3277698173532664851355959817100e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=274.6MB, alloc=4.5MB, time=27.07 x[1] = -0.705 y[1] (analytic) = 0.083618440445985178251238292579 y[1] (numeric) = 0.083618440557264399766090876885557 absolute error = 1.11279221514852584306557e-10 relative error = 1.3307976197754534841199828183048e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.704 y[1] (analytic) = 0.08374727290311051643594854104743 y[1] (numeric) = 0.083747273014814163917042763394964 absolute error = 1.11703647481094222347534e-10 relative error = 1.3338183275570918144738569878467e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.703 y[1] (analytic) = 0.08387620370836479220143501057874 y[1] (numeric) = 0.083876203820493182211618321961495 absolute error = 1.12128390010183311382755e-10 relative error = 1.3368319624961875785067014138766e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.702 y[1] (analytic) = 0.084005232859240028008574355872755 y[1] (numeric) = 0.084005232971793477084863900246832 absolute error = 1.12553449076289544374077e-10 relative error = 1.3398385463068137746282610491399e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=278.4MB, alloc=4.5MB, time=27.46 x[1] = -0.701 y[1] (analytic) = 0.084134360353226439953419382636975 y[1] (numeric) = 0.084134360466205264606982356465056 absolute error = 1.12978824653562973828081e-10 relative error = 1.3428381006194978141207019376603e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.7 y[1] (analytic) = 0.084263586187812438053579197706615 y[1] (numeric) = 0.084263586301216954769713210554607 absolute error = 1.13404516716134012847992e-10 relative error = 1.3458306469816069521554723631591e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.699 y[1] (analytic) = 0.084392910360484626534783243220065 y[1] (numeric) = 0.084392910474315151772896679407933 absolute error = 1.13830525238113436187868e-10 relative error = 1.3488162068577316458775466661394e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.698 y[1] (analytic) = 0.08452233286872780411762913501106 y[1] (numeric) = 0.084522332982984654311221516320034 absolute error = 1.14256850193592381308974e-10 relative error = 1.3517948016300668522877474536633e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=282.2MB, alloc=4.5MB, time=27.86 x[1] = -0.697 y[1] (analytic) = 0.08465185371002496430451422533676 y[1] (numeric) = 0.084651853824708455861156574775131 absolute error = 1.14683491556642349438371e-10 relative error = 1.3547664525987912785672967981739e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.696 y[1] (analytic) = 0.0847814728818572956667508100192 y[1] (numeric) = 0.084781472996967744968066016648723 absolute error = 1.15110449301315206629523e-10 relative error = 1.3577311809824445973988349735439e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.695 y[1] (analytic) = 0.08491119038170418213186490003503 y[1] (numeric) = 0.084911190497241905533508084860416 absolute error = 1.15537723401643184825386e-10 relative error = 1.3606890079183026397593962356939e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.694 y[1] (analytic) = 0.08504100620704320327107847754751 y[1] (numeric) = 0.08504100632300851710271736047103 absolute error = 1.15965313831638882923520e-10 relative error = 1.3636399544627505775640111013307e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.693 y[1] (analytic) = 0.085170920355350134586975156332295 y[1] (numeric) = 0.085170920471743355152270424175678 absolute error = 1.16393220565295267843383e-10 relative error = 1.3665840415916541084606842079710e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=286.1MB, alloc=4.5MB, time=28.25 x[1] = -0.692 y[1] (analytic) = 0.08530093282409894780134916650678 y[1] (numeric) = 0.085300932940920391377934842102715 absolute error = 1.16821443576585675595935e-10 relative error = 1.3695212902007286549925193358063e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.691 y[1] (analytic) = 0.085431043610761811143237583431385 y[1] (numeric) = 0.085431043728011793982701395786733 absolute error = 1.17249982839463812355348e-10 relative error = 1.3724517211059065902549135474282e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.69 y[1] (analytic) = 0.085561252712809089637135720608985 y[1] (numeric) = 0.085561252830487927964999476142061 absolute error = 1.17678838327863755533076e-10 relative error = 1.3753753550437025020978198910533e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.689 y[1] (analytic) = 0.085691560127709345391395606367665 y[1] (numeric) = 0.085691560245817355407095561221577 absolute error = 1.18108010015699954853912e-10 relative error = 1.3782922126715765078330555277186e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=289.9MB, alloc=4.5MB, time=28.65 x[1] = -0.688 y[1] (analytic) = 0.08582196585292933788680746406955 y[1] (numeric) = 0.085821965971466835763674697504025 absolute error = 1.18537497876867233434475e-10 relative error = 1.3812023145682956313341537215660e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.687 y[1] (analytic) = 0.08595246988593402426536411554762 y[1] (numeric) = 0.08595247000490132615060490441143 absolute error = 1.18967301885240788863810e-10 relative error = 1.3841056812342932543259381004377e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.686 y[1] (analytic) = 0.0860830722241865596192082274305 y[1] (numeric) = 0.086083072343583981633884421716701 absolute error = 1.19397422014676194286201e-10 relative error = 1.3870023330920266535850911324423e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.685 y[1] (analytic) = 0.086213772865148297279762319973745 y[1] (numeric) = 0.086213772984976155518771719459974 absolute error = 1.19827858239009399486229e-10 relative error = 1.3898922904863326356920043674166e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=293.7MB, alloc=4.5MB, time=29.04 x[1] = -0.684 y[1] (analytic) = 0.08634457180627878910704145797472 y[1] (numeric) = 0.086344571926537399639098189950831 absolute error = 1.20258610532056731976111e-10 relative error = 1.3927755736847812808946674026741e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.683 y[1] (analytic) = 0.08647546904503578577914854330694 y[1] (numeric) = 0.086475469165725464646763441392076 absolute error = 1.20689678867614898085136e-10 relative error = 1.3956522028780278075638349830632e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.682 y[1] (analytic) = 0.086606464578875237081952128567925 y[1] (numeric) = 0.086606464699996300301413112619408 absolute error = 1.21121063219460984051483e-10 relative error = 1.3985221981801625686457832222117e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.681 y[1] (analytic) = 0.086737558405251292198946671293845 y[1] (numeric) = 0.086737558526804055760299128409973 absolute error = 1.21552763561352457116128e-10 relative error = 1.4013855796290591914344866114435e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=297.5MB, alloc=4.5MB, time=29.44 x[1] = -0.68 y[1] (analytic) = 0.08686875052161630000129514815239 y[1] (numeric) = 0.086868750643601079868322314771498 absolute error = 1.21984779867027166619108e-10 relative error = 1.4042423671867208719143598561265e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.679 y[1] (analytic) = 0.08700004092542080933805394848452 y[1] (numeric) = 0.087000041047837921448257293582439 absolute error = 1.22417112110203345097919e-10 relative error = 1.4070925807396248348424249480958e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.678 y[1] (analytic) = 0.087131429614113569326579966524145 y[1] (numeric) = 0.08713142973696332959115957591239 absolute error = 1.22849760264579609388245e-10 relative error = 1.4099362400990649706675919111543e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.677 y[1] (analytic) = 0.0872629165851415296431198115839 y[1] (numeric) = 0.087262916708424253946954773310801 absolute error = 1.23282724303834961726901e-10 relative error = 1.4127733650014926603056670390885e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=301.3MB, alloc=4.5MB, time=29.83 x[1] = -0.676 y[1] (analytic) = 0.087394501835949840813581055454005 y[1] (numeric) = 0.087394501959665845015209846310937 absolute error = 1.23716004201628790856932e-10 relative error = 1.4156039751088557987145145014053e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.675 y[1] (analytic) = 0.087526185363981854504485436219795 y[1] (numeric) = 0.087526185488131454436086309354921 absolute error = 1.24149599931600873135126e-10 relative error = 1.4184280900089360281431011093938e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.674 y[1] (analytic) = 0.087657967166679123814103937663025 y[1] (numeric) = 0.087657967291262635281475311304647 absolute error = 1.24583511467371373641622e-10 relative error = 1.4212457292156841918477819194301e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.673 y[1] (analytic) = 0.087789847241481403563773663370455 y[1] (numeric) = 0.087789847366499142346314510662348 absolute error = 1.25017738782540847291893e-10 relative error = 1.4240569121695540190028527944132e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=305.1MB, alloc=4.5MB, time=30.23 x[1] = -0.672 y[1] (analytic) = 0.08792182558582665058939642463277 y[1] (numeric) = 0.087921825711278932440086664583629 absolute error = 1.25452281850690239950859e-10 relative error = 1.4268616582378340514537387567872e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.671 y[1] (analytic) = 0.08805390219715102403311896117549 y[1] (numeric) = 0.088053902323038164678499850724858 absolute error = 1.25887140645380889549368e-10 relative error = 1.4296599867149778228946046307508e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.67 y[1] (analytic) = 0.088186077072888885635194713723015 y[1] (numeric) = 0.088186077199211200775349240925915 absolute error = 1.26322315140154527202900e-10 relative error = 1.4324519168229323009762395590296e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.669 y[1] (analytic) = 0.088318350210472800026027067355945 y[1] (numeric) = 0.088318350337230605334560345688457 absolute error = 1.26757805308533278332512e-10 relative error = 1.4352374677114646027809105435950e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.668 y[1] (analytic) = 0.088450721607333535018393984581 y[1] (numeric) = 0.088450721734527146142413648369052 absolute error = 1.27193611124019663788052e-10 relative error = 1.4380166584584869940305018759658e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=309.0MB, alloc=4.5MB, time=30.62 x[1] = -0.667 y[1] (analytic) = 0.08858319126090006189985394699211 y[1] (numeric) = 0.088583191388529794459950547965776 absolute error = 1.27629732560096600973666e-10 relative error = 1.4407895080703801823242480903229e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.666 y[1] (analytic) = 0.088715759168599555725333124360575 y[1] (numeric) = 0.088715759296665725315560529336134 absolute error = 1.28066169590227404975559e-10 relative error = 1.4435560354823149146322186751194e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.665 y[1] (analytic) = 0.088848425327857395609893689951475 y[1] (numeric) = 0.088848425456360317797749479643505 absolute error = 1.28502922187855789692030e-10 relative error = 1.4463162595585718892024659987710e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.664 y[1] (analytic) = 0.08898118973609716502168320082288 y[1] (numeric) = 0.088981189865037155348089069788644 absolute error = 1.28939990326405868965764e-10 relative error = 1.4490701990928599919709289121198e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=312.8MB, alloc=4.5MB, time=31.03 x[1] = -0.663 y[1] (analytic) = 0.08911405239074065207506496182373 y[1] (numeric) = 0.089114052520118026054347119542203 absolute error = 1.29377373979282157718473e-10 relative error = 1.4518178728086328674965208509247e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.662 y[1] (analytic) = 0.08924701328920784982392929196599 y[1] (numeric) = 0.089247013419022922943798865053653 absolute error = 1.29815073119869573087663e-10 relative error = 1.4545592993594038343729075335543e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.661 y[1] (analytic) = 0.08938007242891695655518561180559 y[1] (numeric) = 0.089380072559170044276719047371482 absolute error = 1.30253087721533435565892e-10 relative error = 1.4572944973290591550082089865557e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.66 y[1] (analytic) = 0.089513229807284376082435270426955 y[1] (numeric) = 0.089513229937975793840054740569066 absolute error = 1.30691417757619470142111e-10 relative error = 1.4600234852321696695887963367411e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=316.6MB, alloc=4.5MB, time=31.41 x[1] = -0.659 y[1] (analytic) = 0.08964648542172471803982503058472 y[1] (numeric) = 0.089646485552854781241278838030179 absolute error = 1.31130063201453807445459e-10 relative error = 1.4627462815143008039862127898573e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.658 y[1] (analytic) = 0.089779839269650798176081130516515 y[1] (numeric) = 0.0897798394012198222024241154077 absolute error = 1.31569024026342984891185e-10 relative error = 1.4654629045523209612930298869395e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.657 y[1] (analytic) = 0.089913291348473638648723840899665 y[1] (numeric) = 0.089913291480481938854297788728744 absolute error = 1.32008300205573947829079e-10 relative error = 1.4681733726547083066164712973231e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.656 y[1] (analytic) = 0.090046841655602468318462435385205 y[1] (numeric) = 0.090046841788050360030876486079111 absolute error = 1.32447891712414050693906e-10 relative error = 1.4708777040618559546842994265522e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=320.4MB, alloc=4.5MB, time=31.78 x[1] = -0.655 y[1] (analytic) = 0.090180490188444723043770493101245 y[1] (numeric) = 0.090180490321332521563881551259687 absolute error = 1.32887798520111058158442e-10 relative error = 1.4735759169463755697658341110660e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.654 y[1] (analytic) = 0.09031423694440604597564145147862 y[1] (numeric) = 0.090314237077734066577534597767203 absolute error = 1.33328020601893146288583e-10 relative error = 1.4762680294133993873349327963448e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.653 y[1] (analytic) = 0.0904480819208902878525243277107 y[1] (numeric) = 0.090448082054658845783493231411558 absolute error = 1.33768557930968903700858e-10 relative error = 1.4789540595008806668483393325092e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.652 y[1] (analytic) = 0.090582025115299507295439527119545 y[1] (numeric) = 0.090582025249508917775966859841781 absolute error = 1.34209410480527332722236e-10 relative error = 1.4816340251798925849453635296790e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=324.2MB, alloc=4.5MB, time=32.16 x[1] = -0.651 y[1] (analytic) = 0.09071606652503397110327465666036 y[1] (numeric) = 0.090716066659684549327012507212587 absolute error = 1.34650578223737850552227e-10 relative error = 1.4843079443549255783140110691840e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.65 y[1] (analytic) = 0.090850206147492154548260261756125 y[1] (numeric) = 0.090850206282584215682010552183418 absolute error = 1.35092061133750290427293e-10 relative error = 1.4869758348641831454072494891835e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.649 y[1] (analytic) = 0.090984443980070741671625404614265 y[1] (numeric) = 0.090984444115604600855320307401845 absolute error = 1.35533859183694902787580e-10 relative error = 1.4896377144798761161318847943951e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.648 y[1] (analytic) = 0.091118780020164625579433002137275 y[1] (numeric) = 0.091118780156140597926115358583217 absolute error = 1.35975972346682356445942e-10 relative error = 1.4922936009085153985713808551477e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=328.0MB, alloc=4.5MB, time=32.53 x[1] = -0.647 y[1] (analytic) = 0.091253214265166908738594841499175 y[1] (numeric) = 0.0912532144015853093343985812585 absolute error = 1.36418400595803739759325e-10 relative error = 1.4949435117912032117447670018541e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.646 y[1] (analytic) = 0.091387746712468903273066191419925 y[1] (numeric) = 0.091387746849330047177196753222353 absolute error = 1.36861143904130561802428e-10 relative error = 1.4975874647039228133423094610125e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.645 y[1] (analytic) = 0.091522377359460131260219927129945 y[1] (numeric) = 0.091522377496764333504934680673628 absolute error = 1.37304202244714753543683e-10 relative error = 1.5002254771578267313206313592542e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.644 y[1] (analytic) = 0.09165710620352832502740008697704 y[1] (numeric) = 0.091657106341275900617988756000659 absolute error = 1.37747575590588669023619e-10 relative error = 1.5028575665995235081812817278216e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.643 y[1] (analytic) = 0.091791933242059427448654778588495 y[1] (numeric) = 0.091791933380250691363419865123931 absolute error = 1.38191263914765086535436e-10 relative error = 1.5054837504113629666956461989230e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=331.8MB, alloc=4.5MB, time=32.91 x[1] = -0.642 y[1] (analytic) = 0.091926858472437592241648352460885 y[1] (numeric) = 0.091926858611072859431885562268985 absolute error = 1.38635267190237209808100e-10 relative error = 1.5081040459117200057863252310214e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.641 y[1] (analytic) = 0.0920618818920451842647527608112 y[1] (numeric) = 0.092061882031124769654731430002725 absolute error = 1.39079585389978669191525e-10 relative error = 1.5107184703552769352093355025540e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.64 y[1] (analytic) = 0.092197003498262779814318019482335 y[1] (numeric) = 0.092197003637786998301261542326622 absolute error = 1.39524218486943522844287e-10 relative error = 1.5133270409333043576338651518929e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.639 y[1] (analytic) = 0.092332223288469166922121690657135 y[1] (numeric) = 0.092332223428438333376187948580725 absolute error = 1.39969166454066257923590e-10 relative error = 1.5159297747739406066516105415727e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=335.7MB, alloc=4.5MB, time=33.31 x[1] = -0.638 y[1] (analytic) = 0.092467541260041345652997304095225 y[1] (numeric) = 0.092467541400455774917259095872796 absolute error = 1.40414429264261791777571e-10 relative error = 1.5185266889424697491953495845785e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.637 y[1] (analytic) = 0.09260295741035452840264163456737 y[1] (numeric) = 0.092602957551214535293067107707368 absolute error = 1.40860006890425473139998e-10 relative error = 1.5211178004415981607900753927760e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.636 y[1] (analytic) = 0.09273847173678214019560075312285 y[1] (numeric) = 0.092738471878088039501033836450037 absolute error = 1.41305899305433083327187e-10 relative error = 1.5237031262117296820019949732662e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.635 y[1] (analytic) = 0.092874084236695818983434769785395 y[1] (numeric) = 0.092874084378447925465575607222846 absolute error = 1.41752106482140837437451e-10 relative error = 1.5262826831312393644008164664832e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=339.5MB, alloc=4.5MB, time=33.70 x[1] = -0.634 y[1] (analytic) = 0.093009794907465415943061185234505 y[1] (numeric) = 0.093009795049664044336446570787218 absolute error = 1.42198628393385385552713e-10 relative error = 1.5288564880167458142886438501789e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.633 y[1] (analytic) = 0.093145603746458995775276768988915 y[1] (numeric) = 0.093145603889104460787260582931541 absolute error = 1.42645465011983813942626e-10 relative error = 1.5314245576233821424021345859667e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.632 y[1] (analytic) = 0.093281510751042837003457881570265 y[1] (numeric) = 0.093281510894135453314191527841162 absolute error = 1.43092616310733646270897e-10 relative error = 1.5339869086450655277336614184266e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.631 y[1] (analytic) = 0.093417515918581432272439158085185 y[1] (numeric) = 0.093417516062121514534852002889288 absolute error = 1.43540082262412844804103e-10 relative error = 1.5365435577147654035700319669128e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=343.3MB, alloc=4.5MB, time=34.09 x[1] = -0.63 y[1] (analytic) = 0.093553619246437488647570470625265 y[1] (numeric) = 0.093553619390425351487350282248048 absolute error = 1.43987862839779811622783e-10 relative error = 1.5390945214047702737887351952422e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.629 y[1] (analytic) = 0.093689820731971927913952086844825 y[1] (numeric) = 0.09368982087640788592952547667976 absolute error = 1.44435958015573389834935e-10 relative error = 1.5416398162269531674026195536917e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.628 y[1] (analytic) = 0.0938261203725438868758479420375 y[1] (numeric) = 0.093826120517428254638360806829304 absolute error = 1.44884367762512864791804e-10 relative error = 1.5441794586330357392889124769105e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.627 y[1] (analytic) = 0.093962518165510717656276941993235 y[1] (numeric) = 0.093962518310843809709574907299382 absolute error = 1.45333092053297965306147e-10 relative error = 1.5467134650148510249896901256527e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=347.1MB, alloc=4.5MB, time=34.50 x[1] = -0.626 y[1] (analytic) = 0.09409901410822798799678221387858 y[1] (numeric) = 0.094099014254010118857391078751369 absolute error = 1.45782130860608864872789e-10 relative error = 1.5492418517046048574153005989633e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.625 y[1] (analytic) = 0.094235608198049481557378222343915 y[1] (numeric) = 0.094235608344280965714484405235434 absolute error = 1.46231484157106182891519e-10 relative error = 1.5517646349751359532335066254262e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.624 y[1] (analytic) = 0.09437230043232719821667566802214 y[1] (numeric) = 0.094372300579008350132106653914607 absolute error = 1.46681151915430985892467e-10 relative error = 1.5542818310401746766772008583693e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.623 y[1] (analytic) = 0.094509090808411354372184085544755 y[1] (numeric) = 0.094509090955542488480388874308538 absolute error = 1.47131134108204788763783e-10 relative error = 1.5567934560546004884496313780995e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=350.9MB, alloc=4.5MB, time=34.89 x[1] = -0.622 y[1] (analytic) = 0.094645979323650383240792058162085 y[1] (numeric) = 0.094645979471231813948821614143761 absolute error = 1.47581430708029555981676e-10 relative error = 1.5592995261146980873584552378368e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.621 y[1] (analytic) = 0.09478296597539093515942496601553 y[1] (numeric) = 0.094782966123422976846912668858437 absolute error = 1.48032041687487702842907e-10 relative error = 1.5618000572584122522605282035719e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.62 y[1] (analytic) = 0.09492005076097787788588018507113 y[1] (numeric) = 0.094920050909460844905022281770701 absolute error = 1.48482967019142096699571e-10 relative error = 1.5642950654656013918471770105828e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.619 y[1] (analytic) = 0.09505723367775429689983965368461 y[1] (numeric) = 0.095057233826688503575375711880969 absolute error = 1.48934206675536058196359e-10 relative error = 1.5667845666582898097544017041370e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.618 y[1] (analytic) = 0.095194514723061495704059723729655 y[1] (numeric) = 0.095194514872447256333253086239821 absolute error = 1.49385760629193362510166e-10 relative error = 1.5692685767009186924303091857606e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=354.7MB, alloc=4.5MB, time=35.29 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.617 y[1] (analytic) = 0.095331893894238996125738213182305 y[1] (numeric) = 0.095331894044076624978356453774362 absolute error = 1.49837628852618240592057e-10 relative error = 1.5717471114005958271452698455266e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.616 y[1] (analytic) = 0.095469371188624538618058577015675 y[1] (numeric) = 0.095469371338914349936353957427315 absolute error = 1.50289811318295380411640e-10 relative error = 1.5742201865073440574826674532946e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.615 y[1] (analytic) = 0.09560694660355408256191111322055 y[1] (numeric) = 0.095606946754296390560601041424492 absolute error = 1.50742307998689928203942e-10 relative error = 1.5766878177143484836009368597444e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.614 y[1] (analytic) = 0.095744620136361806567791120729245 y[1] (numeric) = 0.095744620287556925434038610447685 absolute error = 1.51195118866247489718440e-10 relative error = 1.5791500206582024145056176526193e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=358.5MB, alloc=4.5MB, time=35.69 x[1] = -0.613 y[1] (analytic) = 0.0958823917843801087778739259807 y[1] (numeric) = 0.09588239193602835267126805745152 absolute error = 1.51648243893394131470820e-10 relative error = 1.5816068109191520795328228018440e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.612 y[1] (analytic) = 0.09602026154493960716826669482751 y[1] (numeric) = 0.096020261697041290220803076824297 absolute error = 1.52101683052536381996787e-10 relative error = 1.5840582040213401061857961885430e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.611 y[1] (analytic) = 0.096158229415369139851436946445835 y[1] (numeric) = 0.096158229567924576167498179554407 absolute error = 1.52555436316061233108572e-10 relative error = 1.5865042154330477714337701698097e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.61 y[1] (analytic) = 0.096296295392995765378817685871835 y[1] (numeric) = 0.096296295546005269035153827025498 absolute error = 1.53009503656336141153663e-10 relative error = 1.5889448605669360335246670159116e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=362.4MB, alloc=4.5MB, time=36.09 x[1] = -0.609 y[1] (analytic) = 0.096434459475144763043589071749125 y[1] (numeric) = 0.096434459628608648089298100025198 absolute error = 1.53463885045709028276073e-10 relative error = 1.5913801547802853513257560342108e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.608 y[1] (analytic) = 0.096572721659139633183636535834 y[1] (numeric) = 0.096572721813058213640144819513878 absolute error = 1.53918580456508283679878e-10 relative error = 1.5938101133752342981550235643424e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.607 y[1] (analytic) = 0.096711081942302097484685270766375 y[1] (numeric) = 0.096711082096675687345728035661659 absolute error = 1.54373589861042764895284e-10 relative error = 1.5962347515990169770264973733864e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.606 y[1] (analytic) = 0.096849540321952099283611002576525 y[1] (numeric) = 0.096849540476781012515212801623608 absolute error = 1.54828913231601799047083e-10 relative error = 1.5986540846441992441839527316471e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=366.2MB, alloc=4.5MB, time=36.48 x[1] = -0.605 y[1] (analytic) = 0.09698809679540780387192696435937 y[1] (numeric) = 0.096988096950692354412382148484897 absolute error = 1.55284550540455184125527e-10 relative error = 1.6010681276489137477548429065807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.604 y[1] (analytic) = 0.09712675135998559879944698750992 y[1] (numeric) = 0.097126751515726100559300177769506 absolute error = 1.55740501759853190259586e-10 relative error = 1.6034768956970937883116186182914e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.603 y[1] (analytic) = 0.09726550401300009417812462687531 y[1] (numeric) = 0.097265504169196861040151187867967 absolute error = 1.56196766862026560992657e-10 relative error = 1.6058804038187060080849323024117e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.602 y[1] (analytic) = 0.09740435475176412298606823614079 y[1] (numeric) = 0.097404354908417468805254750701541 absolute error = 1.56653345819186514560751e-10 relative error = 1.6082786669899819155294059451848e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=370.0MB, alloc=4.5MB, time=36.88 x[1] = -0.601 y[1] (analytic) = 0.09754330357358874137173190972918 y[1] (numeric) = 0.097543303730698979975256654902213 absolute error = 1.57110238603524745173033e-10 relative error = 1.6106717001336482518979914020295e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.6 y[1] (analytic) = 0.097682350475783228958282207455125 y[1] (numeric) = 0.097682350633350674145495631749882 absolute error = 1.57567445187213424294757e-10 relative error = 1.6130595181191562064398955971480e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.599 y[1] (analytic) = 0.097821495455655089148140578137325 y[1] (numeric) = 0.097821495613680054690545780070175 absolute error = 1.58024965542405201932850e-10 relative error = 1.6154421357629094867967297264817e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.598 y[1] (analytic) = 0.097960738510510049427701398334795 y[1] (numeric) = 0.097960738668992849068934606258416 absolute error = 1.58482799641233207923621e-10 relative error = 1.6178195678284912511213973947430e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=373.8MB, alloc=4.5MB, time=37.28 x[1] = -0.597 y[1] (analytic) = 0.098100079637652061672225542334245 y[1] (numeric) = 0.098100079796593009128036595557401 absolute error = 1.58940947455811053223156e-10 relative error = 1.6201918290268899084134855235634e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.596 y[1] (analytic) = 0.09823951883438330245090939947873 y[1] (numeric) = 0.09823951899378271140914223067882 absolute error = 1.59399408958232831200090e-10 relative error = 1.6225589340167237935144266830497e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.595 y[1] (analytic) = 0.098379056098004173332129254889685 y[1] (numeric) = 0.098379056257862357452702373820366 absolute error = 1.59858184120573118930681e-10 relative error = 1.6249208974044647231668376792387e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.594 y[1] (analytic) = 0.09851869142581330118886094959626 y[1] (numeric) = 0.098518691586130574103747928092858 absolute error = 1.60317272914886978496598e-10 relative error = 1.6272777337446604395064062420176e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.593 y[1] (analytic) = 0.098658424815107538504274736049075 y[1] (numeric) = 0.098658424975884213817484694333972 absolute error = 1.60776675313209958284897e-10 relative error = 1.6296294575401559473044489854992e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.5MB, time=37.67 WARNING: arctan of linear function has low precision in testing. x[1] = -0.592 y[1] (analytic) = 0.098798256263181963677505244956955 y[1] (numeric) = 0.09879825642441835496506333924755 absolute error = 1.61236391287558094290595e-10 relative error = 1.6319760832423137512483935571047e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.591 y[1] (analytic) = 0.09893818576732988132959647934814 y[1] (numeric) = 0.098938185929026302139524390769817 absolute error = 1.61696420809927911421677e-10 relative error = 1.6343176252512329995014609573629e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.59 y[1] (analytic) = 0.09907821332484282260962175171976 y[1] (numeric) = 0.099078213486999586461918176526277 absolute error = 1.62156763852296424806517e-10 relative error = 1.6366540979159675397444829510414e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.589 y[1] (analytic) = 0.099218338933010545500978480101715 y[1] (numeric) = 0.099218339095627965887599621205527 absolute error = 1.62617420386621141103812e-10 relative error = 1.6389855155347428938644295138198e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=381.4MB, alloc=4.5MB, time=38.07 x[1] = -0.588 y[1] (analytic) = 0.09935856258912103512785775882386 y[1] (numeric) = 0.099358562752199425512697818638726 absolute error = 1.63078390384840059814866e-10 relative error = 1.6413118923551721574123016286669e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.587 y[1] (analytic) = 0.09949888429046050406188861973748 y[1] (numeric) = 0.099498884454000177880760294336026 absolute error = 1.63539673818871674598546e-10 relative error = 1.6436332425744708299189441408295e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.586 y[1] (analytic) = 0.09963930403431339262895689960541 y[1] (numeric) = 0.099639304198314663289571874193857 absolute error = 1.64001270660614974588447e-10 relative error = 1.6459495803396705821107004642255e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.585 y[1] (analytic) = 0.09977982181796236921619862933685 y[1] (numeric) = 0.099779821982425550098148075049597 absolute error = 1.64463180881949445712747e-10 relative error = 1.6482609197478319660378998956787e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=385.2MB, alloc=4.5MB, time=38.47 x[1] = -0.584 y[1] (analytic) = 0.09992043763868833057916786070646 y[1] (numeric) = 0.099920437803613735033902932722829 absolute error = 1.64925404454735072016369e-10 relative error = 1.6505672748462560740822939331943e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.583 y[1] (analytic) = 0.10006115149377040214917884615939 y[1] (numeric) = 0.10006115165915834349999118314512 absolute error = 1.6538794135081233698573e-10 relative error = 1.6528686596326951527783235530858e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.582 y[1] (analytic) = 0.10020196338048593834082248726714 y[1] (numeric) = 0.10020196354633672988282471214303 absolute error = 1.6585079154200222487589e-10 relative error = 1.6551650880555621773407707261019e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.581 y[1] (analytic) = 0.10034287329611052285965696736157 y[1] (numeric) = 0.10034287346242447785976318940179 absolute error = 1.6631395500010622204022e-10 relative error = 1.6574565740141393927570467020558e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=389.1MB, alloc=4.5MB, time=38.87 x[1] = -0.58 y[1] (analytic) = 0.10048388123791796901007248383756 y[1] (numeric) = 0.10048388140469540070697880210006 absolute error = 1.6677743169690631826250e-10 relative error = 1.6597431313587858272631779599202e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.579 y[1] (analytic) = 0.10062498720318032000332999557738 y[1] (numeric) = 0.10062498737042154160749500366899 absolute error = 1.6724122160416500809161e-10 relative error = 1.6620247738911437839882178136998e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.578 y[1] (analytic) = 0.10076619118916784926577390091308 y[1] (numeric) = 0.10076619135687317395939919309166 absolute error = 1.6770532469362529217858e-10 relative error = 1.6643015153643443165112654532735e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.577 y[1] (analytic) = 0.10090749319314906074721856150598 y[1] (numeric) = 0.10090749336131880168422924012214 absolute error = 1.6816974093701067861616e-10 relative error = 1.6665733694832116940428836114796e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=392.9MB, alloc=4.5MB, time=39.28 x[1] = -0.576 y[1] (analytic) = 0.1010488932123906892295085874854 y[1] (numeric) = 0.1010488933810251595355337717663 absolute error = 1.6863447030602518428090e-10 relative error = 1.6688403499044668619049197063161e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.575 y[1] (analytic) = 0.10119039124415770063525279915172 y[1] (numeric) = 0.10119039141325721340760613532947 absolute error = 1.6909951277235333617775e-10 relative error = 1.6711024702369299029471110349583e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.574 y[1] (analytic) = 0.10133198728571329233673178051228 y[1] (numeric) = 0.10133198745527816064439195329942 absolute error = 1.6956486830766017278714e-10 relative error = 1.6733597440417215055027881498747e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.573 y[1] (analytic) = 0.10147368133431889346497893988147 y[1] (numeric) = 0.10147368150434943034857018529595 absolute error = 1.7003053688359124541448e-10 relative error = 1.6756121848324634434504751411038e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=396.7MB, alloc=4.5MB, time=39.68 x[1] = -0.572 y[1] (analytic) = 0.10161547338723416521903499273962 y[1] (numeric) = 0.10161547355773068369080761228182 absolute error = 1.7049651847177261954220e-10 relative error = 1.6778598060754780739148880469209e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.571 y[1] (analytic) = 0.10175736344171700117537578200842 y[1] (numeric) = 0.10175736361267981421918665819284 absolute error = 1.7096281304381087618442e-10 relative error = 1.6801026211899868581056944524255e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.57 y[1] (analytic) = 0.10189935149502352759751335086433 y[1] (numeric) = 0.10189935166645294816880646410821 absolute error = 1.7142942057129311324388e-10 relative error = 1.6823406435483079107532866221602e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.569 y[1] (analytic) = 0.10204143754440810374577018317398 y[1] (numeric) = 0.10204143771630444477155713004558 absolute error = 1.7189634102578694687160e-10 relative error = 1.6845738864760525835747479934105e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.568 y[1] (analytic) = 0.10218362158712332218722652659967 y[1] (numeric) = 0.10218362175948689656606703942861 absolute error = 1.7236357437884051282894e-10 relative error = 1.6868023632523210881612070781509e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=400.5MB, alloc=4.5MB, time=40.08 x[1] = -0.567 y[1] (analytic) = 0.10232590362042000910584071338606 y[1] (numeric) = 0.10232590379325112970782318123814 absolute error = 1.7283112060198246785208e-10 relative error = 1.6890260871098971636473620150066e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.566 y[1] (analytic) = 0.10246828364154722461274239380234 y[1] (numeric) = 0.10246828381484620427946438482169 absolute error = 1.7329897966672199101935e-10 relative error = 1.6912450712354417944943267261868e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.565 y[1] (analytic) = 0.10261076164775226305669859717865 y[1] (numeric) = 0.10261076182151941460124738229924 absolute error = 1.7376715154454878512059e-10 relative error = 1.6934593287696859836713240042843e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.564 y[1] (analytic) = 0.10275333763628065333475253543762 y[1] (numeric) = 0.10275333781051628954168561346703 absolute error = 1.7423563620693307802941e-10 relative error = 1.6956688728076225865051224842067e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=404.3MB, alloc=4.5MB, time=40.49 x[1] = -0.563 y[1] (analytic) = 0.10289601160437615920303506398656 y[1] (numeric) = 0.10289601177908059282836068806447 absolute error = 1.7470443362532562407791e-10 relative error = 1.6978737163986972104203550583902e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.562 y[1] (analytic) = 0.10303878354928077958774871479925 y[1] (numeric) = 0.10303878372445432335890642023292 absolute error = 1.7517354377115770543367e-10 relative error = 1.7000738725469981857636254181970e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.561 y[1] (analytic) = 0.10318165346823474889632421647922 y[1] (numeric) = 0.10318165364387771551216534995885 absolute error = 1.7564296661584113347963e-10 relative error = 1.7022693542114456128797023593662e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.56 y[1] (analytic) = 0.1033246213584765373287494160611 y[1] (numeric) = 0.10332462153458923945951766625735 absolute error = 1.7611270213076825019625e-10 relative error = 1.7044601743059794905638783502254e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=408.1MB, alloc=4.5MB, time=40.89 x[1] = -0.559 y[1] (analytic) = 0.10346768721724285118907051726979 y[1] (numeric) = 0.10346768739382560147638244681599 absolute error = 1.7658275028731192954620e-10 relative error = 1.7066463456997469309909177669641e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.558 y[1] (analytic) = 0.10361085104176863319706554992073 y[1] (numeric) = 0.10361085121882174425389112878251 absolute error = 1.7705311105682557886178e-10 relative error = 1.7088278812172884661887042957370e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.557 y[1] (analytic) = 0.10375411282928706280008998510915 y[1] (numeric) = 0.10375411300681084721073312534383 absolute error = 1.7752378441064314023468e-10 relative error = 1.7110047936387234510874030703779e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.556 y[1] (analytic) = 0.10389747257702955648509441079938 y[1] (numeric) = 0.10389747275502432680517350270764 absolute error = 1.7799477032007909190826e-10 relative error = 1.7131770956999345681491135133520e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=412.0MB, alloc=4.5MB, time=41.29 x[1] = -0.555 y[1] (analytic) = 0.10404093028222576809081418238918 y[1] (numeric) = 0.10404093046069183684724263206182 absolute error = 1.7846606875642844967264e-10 relative error = 1.7153448000927514385528764351237e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.554 y[1] (analytic) = 0.10418448594210358912013096278876 y[1] (numeric) = 0.10418448612104126881109773105071 absolute error = 1.7893767969096676826195e-10 relative error = 1.7175079194651333448699106730893e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.553 y[1] (analytic) = 0.10432813955388914905260606651695 y[1] (numeric) = 0.10432813973329875214755620927144 absolute error = 1.7940960309495014275449e-10 relative error = 1.7196664664213510701467213155855e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.552 y[1] (analytic) = 0.10447189111480681565718552228229 y[1] (numeric) = 0.1044718912946886545968007322574 absolute error = 1.7988183893961520997511e-10 relative error = 1.7218204535221678582693492383748e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=415.8MB, alloc=4.5MB, time=41.69 x[1] = -0.551 y[1] (analytic) = 0.10461574062207919530507676847972 y[1] (numeric) = 0.10461574080243358250125591838009 absolute error = 1.8035438719617914990037e-10 relative error = 1.7239698932850195004637543030569e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.55 y[1] (analytic) = 0.10475968807292713328279689599848 y[1] (numeric) = 0.10475968825375438111863658306468 absolute error = 1.8082724783583968706620e-10 relative error = 1.7261147981841935527491572065143e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.549 y[1] (analytic) = 0.10490373346456971410539235270066 y[1] (numeric) = 0.10490373364587013493516744467868 absolute error = 1.8130042082977509197802e-10 relative error = 1.7282551806510076891335997022288e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.548 y[1] (analytic) = 0.10504787679422426182983002389402 y[1] (numeric) = 0.10504787697599816797897420641752 absolute error = 1.8177390614914418252350e-10 relative error = 1.7303910530739871953134044572245e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=419.6MB, alloc=4.5MB, time=42.10 x[1] = -0.547 y[1] (analytic) = 0.10519211805910634036855960308687 y[1] (numeric) = 0.10519211824135404413364592847481 absolute error = 1.8224770376508632538794e-10 relative error = 1.7325224277990416076068229440720e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.546 y[1] (analytic) = 0.10533645725642975380324716727754 y[1] (numeric) = 0.10533645743915156745196860474956 absolute error = 1.8272181364872143747202e-10 relative error = 1.7346493171296405018207083510984e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.545 y[1] (analytic) = 0.10548089438340654669867987099461 y[1] (numeric) = 0.10548089456660278246982985830688 absolute error = 1.8319623577114998731227e-10 relative error = 1.7367717333269884367256957862442e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.544 y[1] (analytic) = 0.10562542943724700441684167326885 y[1] (numeric) = 0.10562542962091797452029466977293 absolute error = 1.8367097010345299650408e-10 relative error = 1.7388896886101990567814484440907e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.543 y[1] (analytic) = 0.10577006241515965343116001168235 y[1] (numeric) = 0.10577006259930567004785205280959 absolute error = 1.8414601661669204112724e-10 relative error = 1.7410031951564683587264830904889e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=423.4MB, alloc=4.5MB, time=42.51 x[1] = -0.542 y[1] (analytic) = 0.10591479331435126164092333760427 y[1] (numeric) = 0.10591479349897263692283259077837 absolute error = 1.8462137528190925317410e-10 relative error = 1.7431122651012471266195586324460e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.541 y[1] (analytic) = 0.10605962213202683868586942668783 y[1] (numeric) = 0.10605962231712388475599674866799 absolute error = 1.8509704607012732198016e-10 relative error = 1.7452169105384125398886825463329e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.54 y[1] (analytic) = 0.10620454886538963626094437866673 y[1] (numeric) = 0.10620454905096266521329387432426 absolute error = 1.8557302895234949565753e-10 relative error = 1.7473171435204389589216554495284e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.539 y[1] (analytic) = 0.10634957351164114843123222045506 y[1] (numeric) = 0.10634957369769047233079180298568 absolute error = 1.8604932389955958253062e-10 relative error = 1.7494129760585678926939797491005e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=427.2MB, alloc=4.5MB, time=42.91 x[1] = -0.538 y[1] (analytic) = 0.106494696067981111947055026518 y[1] (numeric) = 0.10649469625450704282977697909267 absolute error = 1.8652593088272195257467e-10 relative error = 1.7515044201229771529140586632721e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.537 y[1] (analytic) = 0.10663991653160750655924347044645 y[1] (numeric) = 0.10663991671861035643202500930311 absolute error = 1.8700284987278153885666e-10 relative error = 1.7535914876429491991280016431377e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.536 y[1] (analytic) = 0.10678523489971655533457772163236 y[1] (numeric) = 0.10678523508719663617524156061145 absolute error = 1.8748008084066383897909e-10 relative error = 1.7556741905070386792079697620241e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.535 y[1] (analytic) = 0.10693065116950272497139860090759 y[1] (numeric) = 0.10693065135746034872867351743356 absolute error = 1.8795762375727491652597e-10 relative error = 1.7577525405632391696100504227053e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=431.0MB, alloc=4.5MB, time=43.31 x[1] = -0.534 y[1] (analytic) = 0.10707616533815872611538890897244 y[1] (numeric) = 0.10707616552659420470889031148413 absolute error = 1.8843547859350140251169e-10 relative error = 1.7598265496191491197731846570354e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.533 y[1] (analytic) = 0.10722177740287551367552484140591 y[1] (numeric) = 0.10722177759178915899573533823829 absolute error = 1.8891364532021049683238e-10 relative error = 1.7618962294421370049939452069444e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.532 y[1] (analytic) = 0.10736748736084228714019740401425 y[1] (numeric) = 0.10736748755023441104844737373414 absolute error = 1.8939212390824996971989e-10 relative error = 1.7639615917595056920902579766173e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.531 y[1] (analytic) = 0.10751329520924649089350374223927 y[1] (numeric) = 0.10751329539911740522195190543755 absolute error = 1.8987091432844816319828e-10 relative error = 1.7660226482586560221385064065959e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=434.8MB, alloc=4.5MB, time=43.70 x[1] = -0.53 y[1] (analytic) = 0.10765920094527381453170829831275 y[1] (numeric) = 0.10765920113562383108332229085578 absolute error = 1.9035001655161399254303e-10 relative error = 1.7680794105872496145452138080504e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.529 y[1] (analytic) = 0.10780520456610819317987370980853 y[1] (numeric) = 0.10780520475693762372841065755133 absolute error = 1.9082943054853694774280e-10 relative error = 1.7701318903533708966849028943971e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.528 y[1] (analytic) = 0.1079513060689318078086613632088 y[1] (numeric) = 0.10795130626024096409864845817255 absolute error = 1.9130915628998709496375e-10 relative error = 1.7721800991256883633115435045091e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.527 y[1] (analytic) = 0.1080975054509250855513015160661 y[1] (numeric) = 0.10809750564271427929801659408257 absolute error = 1.9178919374671507801647e-10 relative error = 1.7742240484336150699256712723767e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=438.7MB, alloc=4.5MB, time=44.11 x[1] = -0.526 y[1] (analytic) = 0.10824380270926670002073290130761 y[1] (numeric) = 0.1082438029015362429101850211333 absolute error = 1.9226954288945211982569e-10 relative error = 1.7762637497674683642548406135102e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.525 y[1] (analytic) = 0.10839019784113357162691172719403 y[1] (numeric) = 0.10839019803388377531582175109636 absolute error = 1.9275020368891002390233e-10 relative error = 1.7782992145786288599740806324678e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.524 y[1] (analytic) = 0.10853669084370086789428998640978 y[1] (numeric) = 0.10853669103693204401007116222806 absolute error = 1.9323117611578117581828e-10 relative error = 1.7803304542796986567755353974498e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.523 y[1] (analytic) = 0.10868328171414200377946298772687 y[1] (numeric) = 0.10868328190785446392020153241084 absolute error = 1.9371246014073854468397e-10 relative error = 1.7823574802446588108683868313289e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=442.5MB, alloc=4.5MB, time=44.51 x[1] = -0.522 y[1] (analytic) = 0.10882997044962864198898602365056 y[1] (numeric) = 0.10882997064382269772342170827875 absolute error = 1.9419405573443568462819e-10 relative error = 1.7843803038090260599598006668772e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.521 y[1] (analytic) = 0.10897675704733069329736008741912 y[1] (numeric) = 0.10897675724200665616486682370005 absolute error = 1.9467596286750673628093e-10 relative error = 1.7863989362700088067550395558707e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.52 y[1] (analytic) = 0.10912364150441631686518655269684 y[1] (numeric) = 0.10912364169957449837575298095528 absolute error = 1.9515818151056642825844e-10 relative error = 1.7884133888866623649759195039623e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.519 y[1] (analytic) = 0.10927062381805192055749072926338 y[1] (numeric) = 0.1092706240136926321917008079147 absolute error = 1.9564071163421007865132e-10 relative error = 1.7904236728800434718872602113273e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.518 y[1] (analytic) = 0.10941770398540216126221420796934 y[1] (numeric) = 0.10941770418152571447122780448425 absolute error = 1.9612355320901359651491e-10 relative error = 1.7924297994333640712826507467375e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=446.3MB, alloc=4.5MB, time=44.91 x[1] = -0.517 y[1] (analytic) = 0.10956488200362994520887590819253 y[1] (numeric) = 0.10956488220023665141440939155501 absolute error = 1.9660670620553348336248e-10 relative error = 1.7944317796921443708681384910263e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.516 y[1] (analytic) = 0.10971215786989642828740174099538 y[1] (numeric) = 0.10971215806698659888170857565639 absolute error = 1.9709017059430683466101e-10 relative error = 1.7964296247643651779520786222346e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.515 y[1] (analytic) = 0.10985953158136101636712280114949 y[1] (numeric) = 0.10985953177893496271297414247908 absolute error = 1.9757394634585134132959e-10 relative error = 1.7984233457206195173278972847903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.514 y[1] (analytic) = 0.11000700313518136561594200115888 y[1] (numeric) = 0.11000700333323939904660729239935 absolute error = 1.9805803343066529124047e-10 relative error = 1.8004129535942635352129885911987e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=450.1MB, alloc=4.5MB, time=45.31 x[1] = -0.513 y[1] (analytic) = 0.11015457252851338281966906037925 y[1] (numeric) = 0.11015457272705581463889663110198 absolute error = 1.9854243181922757072273e-10 relative error = 1.8023984593815666930830461303942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.512 y[1] (analytic) = 0.11030223975851122570152376229624 y[1] (numeric) = 0.11030223995753836718352142836487 absolute error = 1.9902714148199766606863e-10 relative error = 1.8043798740418612552187336847672e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.511 y[1] (analytic) = 0.11045000482232730324180739299147 y[1] (numeric) = 0.11045000502183946563122305803404 absolute error = 1.9951216238941566504257e-10 relative error = 1.8063572084976910737573580367798e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.51 y[1] (analytic) = 0.11059786771711227599774227379102 y[1] (numeric) = 0.11059786791710977050964453218372 absolute error = 1.9999749451190225839270e-10 relative error = 1.8083304736349596750203038670067e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=453.9MB, alloc=4.5MB, time=45.71 x[1] = -0.509 y[1] (analytic) = 0.11074582844001505642347930105671 y[1] (numeric) = 0.11074582864049819424333804242189 absolute error = 2.0048313781985874136518e-10 relative error = 1.8102996803030776508638749548638e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.508 y[1] (analytic) = 0.11089388698818280919027340604662 y[1] (numeric) = 0.11089388718915190147394042126769 absolute error = 2.0096909228366701522107e-10 relative error = 1.8122648393151093587784072610202e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.507 y[1] (analytic) = 0.11104204335876095150682684773697 y[1] (numeric) = 0.11104204356021630938051643649293 absolute error = 2.0145535787368958875596e-10 relative error = 1.8142259614479189344392451513743e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.506 y[1] (analytic) = 0.11119029754889315343980025146396 y[1] (numeric) = 0.11119029775083508800006983128605 absolute error = 2.0194193456026957982209e-10 relative error = 1.8161830574423156203876269719522e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=457.7MB, alloc=4.5MB, time=46.11 x[1] = -0.505 y[1] (analytic) = 0.11133864955572133823449130620947 y[1] (numeric) = 0.11133864975815016054822202306275 absolute error = 2.0242882231373071685328e-10 relative error = 1.8181361380031984145025220392801e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.504 y[1] (analytic) = 0.11148709937638568263568103332121 y[1] (numeric) = 0.11148709957930170374005837371371 absolute error = 2.0291602110437734039250e-10 relative error = 1.8200852137997000418980355645807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.503 y[1] (analytic) = 0.11163564700802461720864753942391 y[1] (numeric) = 0.11163564721142814811114194404585 absolute error = 2.0340353090249440462194e-10 relative error = 1.8220302954653302538594303128785e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.502 y[1] (analytic) = 0.11178429244777482666034716624378 y[1] (numeric) = 0.11178429265166617833869464513983 absolute error = 2.0389135167834747889605e-10 relative error = 1.8239713935981184574145771100967e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=461.5MB, alloc=4.5MB, time=46.51 x[1] = -0.501 y[1] (analytic) = 0.11193303569277125016076295003567 y[1] (numeric) = 0.11193303589715073356294569931252 absolute error = 2.0437948340218274927685e-10 relative error = 1.8259085187607556791055866328487e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.5 y[1] (analytic) = 0.11208187674014708166442030326728 y[1] (numeric) = 0.11208187694501500770864732333957 absolute error = 2.0486792604422702007229e-10 relative error = 1.8278416814807358665172276946120e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.499 y[1] (analytic) = 0.11223081558703377023206983118242 y[1] (numeric) = 0.11223081579239044980675754655947 absolute error = 2.0535667957468771537705e-10 relative error = 1.8297708922504965310850020550788e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.498 y[1] (analytic) = 0.11237985223056102035253719583065 y[1] (numeric) = 0.1123798524364067643162900764467 absolute error = 2.0584574396375288061605e-10 relative error = 1.8316961615275587356925000345270e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=465.4MB, alloc=4.5MB, time=46.90 x[1] = -0.497 y[1] (analytic) = 0.11252898666785679226473994011735 y[1] (numeric) = 0.11252898687419191144633112420808 absolute error = 2.0633511918159118409073e-10 relative error = 1.8336174997346664305447757205276e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.496 y[1] (analytic) = 0.11267821889604730227987118439486 y[1] (numeric) = 0.11267821910287210747822310292272 absolute error = 2.0682480519835191852786e-10 relative error = 1.8355349172599251407809583356172e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.495 y[1] (analytic) = 0.11282754891225702310375010808146 y[1] (numeric) = 0.11282754911957182508791511071258 absolute error = 2.0731480198416500263112e-10 relative error = 1.8374484244569400092728776027253e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.494 y[1] (analytic) = 0.11297697671360868415933912876148 y[1] (numeric) = 0.11297697692141379366848011139693 absolute error = 2.0780510950914098263545e-10 relative error = 1.8393580316449531980337558943585e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.493 y[1] (analytic) = 0.11312650229722327190942769118691 y[1] (numeric) = 0.11312650250551899965279872505073 absolute error = 2.0829572774337103386382e-10 relative error = 1.8412637491089806516374845129240e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=469.2MB, alloc=4.5MB, time=47.30 x[1] = -0.492 y[1] (analytic) = 0.11327612566022003017948257856652 y[1] (numeric) = 0.11327612586900668683640954085348 absolute error = 2.0878665665692696228696e-10 relative error = 1.8431655870999482260365849989122e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.491 y[1] (analytic) = 0.11342584679971646048066465849595 y[1] (numeric) = 0.11342584700899435670052586458164 absolute error = 2.0927789621986120608569e-10 relative error = 1.8450635558348271861387995644366e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.49 y[1] (analytic) = 0.11357566571282832233301197584865 y[1] (numeric) = 0.11357566592259776873521881306446 absolute error = 2.0976944640220683721581e-10 relative error = 1.8469576654967690754850678796783e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.489 y[1] (analytic) = 0.11372558239666963358878910491386 y[1] (numeric) = 0.11372558260693094076276666788979 absolute error = 2.1026130717397756297593e-10 relative error = 1.8488479262352399613554387196041e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=473.0MB, alloc=4.5MB, time=47.70 x[1] = -0.488 y[1] (analytic) = 0.11387559684835267075600267303542 y[1] (numeric) = 0.11387559705910614926117040061312 absolute error = 2.1075347850516772757770e-10 relative error = 1.8507343481661540586015768160014e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.487 y[1] (analytic) = 0.11402570906498796932208296797093 y[1] (numeric) = 0.11402570927623392968783528168997 absolute error = 2.1124596036575231371904e-10 relative error = 1.8526169413720067354949298830103e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.486 y[1] (analytic) = 0.1141759190436843240777315411586 y[1] (numeric) = 0.11417591925542307680341848531851 absolute error = 2.1173875272568694415991e-10 relative error = 1.8544957159020069048507677704716e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.485 y[1] (analytic) = 0.11432622678154878944093471904558 y[1] (numeric) = 0.11432622699378064499584260234628 absolute error = 2.1223185555490788330070e-10 relative error = 1.8563706817722088036736868286198e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=476.8MB, alloc=4.5MB, time=48.10 x[1] = -0.484 y[1] (analytic) = 0.11447663227568667978114293459815 y[1] (numeric) = 0.1144766324884119486044749733617 absolute error = 2.1272526882333203876355e-10 relative error = 1.8582418489656431645529173130394e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.483 y[1] (analytic) = 0.11462713552320156974361579108191 y[1] (numeric) = 0.11462713573642056224447275405806 absolute error = 2.1321899250085696297615e-10 relative error = 1.8601092274324477820099829266942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.482 y[1] (analytic) = 0.11477773652119529457393277016634 y[1] (numeric) = 0.11477773673490832113129362492479 absolute error = 2.1371302655736085475845e-10 relative error = 1.8619728270899974769899658753919e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.481 y[1] (analytic) = 0.11492843526676795044266949637573 y[1] (numeric) = 0.11492843548097532140537205728763 absolute error = 2.1420737096270256091190e-10 relative error = 1.8638326578230334626616645081540e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=480.6MB, alloc=4.5MB, time=48.50 x[1] = -0.48 y[1] (analytic) = 0.11507923175701789477023946987522 y[1] (numeric) = 0.11507923197171992045696104768676 absolute error = 2.1470202568672157781154e-10 relative error = 1.8656887294837921146792933319298e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.479 y[1] (analytic) = 0.11523012598904174655190117954792 y[1] (numeric) = 0.1152301262042387372511392325487 absolute error = 2.1519699069923805300078e-10 relative error = 1.8675410518921331490355487961153e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.478 y[1] (analytic) = 0.11538111795993438668293050828651 y[1] (numeric) = 0.11538111817562665265298329507529 absolute error = 2.1569226597005278678878e-10 relative error = 1.8693896348356672106179763519818e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.477 y[1] (analytic) = 0.11553220766678895828395834238943 y[1] (numeric) = 0.11553220788297680975290557624017 absolute error = 2.1618785146894723385074e-10 relative error = 1.8712344880698828755656569666783e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=484.4MB, alloc=4.5MB, time=48.89 x[1] = -0.476 y[1] (analytic) = 0.11568339510669686702647329691959 y[1] (numeric) = 0.11568339532338061419215680175035 absolute error = 2.1668374716568350483076e-10 relative error = 1.8730756213182730704993172654662e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.475 y[1] (analytic) = 0.11583468027674778145848946885044 y[1] (numeric) = 0.11583468049392773448849383679797 absolute error = 2.1717995303000436794753e-10 relative error = 1.8749130442724609116850307478960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.474 y[1] (analytic) = 0.11598606317402963333037912979186 y[1] (numeric) = 0.11598606339170610236201238039453 absolute error = 2.1767646903163325060267e-10 relative error = 1.8767467665923249671698319630026e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.473 y[1] (analytic) = 0.11613754379562861792087027005555 y[1] (numeric) = 0.11613754401380191306114451104741 absolute error = 2.1817329514027424099186e-10 relative error = 1.8785767979061239449124266962565e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=488.2MB, alloc=4.5MB, time=49.29 x[1] = -0.472 y[1] (analytic) = 0.11628912213862919436320890578712 y[1] (numeric) = 0.11628912235729962568882099550576 absolute error = 2.1867043132561208971864e-10 relative error = 1.8804031478106208099121395269224e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.471 y[1] (analytic) = 0.11644079820011408597148606085959 y[1] (numeric) = 0.1164407984192819635287982722706 absolute error = 2.1916787755731221141101e-10 relative error = 1.8822258258712063333237209825452e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.47 y[1] (analytic) = 0.11659257197716428056712933519044 y[1] (numeric) = 0.11659257219682991437215002153113 absolute error = 2.1966563380502068634069e-10 relative error = 1.8840448416220220765257476563368e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.469 y[1] (analytic) = 0.11674444346685903080555897111196 y[1] (numeric) = 0.11674444368702273084392323315723 absolute error = 2.2016370003836426204527e-10 relative error = 1.8858602045660828130960837333135e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.468 y[1] (analytic) = 0.1168964126662758545030083293925 y[1] (numeric) = 0.11689641288693793072995868434538 absolute error = 2.2066207622695035495288e-10 relative error = 1.8876719241753983916253861564971e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=492.1MB, alloc=4.5MB, time=49.70 x[1] = -0.467 y[1] (analytic) = 0.11704847957249053496350868647333 y[1] (numeric) = 0.11704847979365129730387573848309 absolute error = 2.2116076234036705200976e-10 relative error = 1.8894800098910950422888563545325e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.466 y[1] (analytic) = 0.11720064418257712130603826445406 y[1] (numeric) = 0.11720064440423687965422137676465 absolute error = 2.2165975834818311231059e-10 relative error = 1.8912844711235361300748630775432e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.465 y[1] (analytic) = 0.11735290649360792879183540532713 y[1] (numeric) = 0.11735290671576699301178337405858 absolute error = 2.2215906421994796873145e-10 relative error = 1.8930853172524423575521623251819e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.464 y[1] (analytic) = 0.11750526650265353915187580092945 y[1] (numeric) = 0.11750526672531221907706753049507 absolute error = 2.2265867992519172956562e-10 relative error = 1.8948825576270114200434596830315e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=495.9MB, alloc=4.5MB, time=50.10 x[1] = -0.463 y[1] (analytic) = 0.11765772420678280091451369004752 y[1] (numeric) = 0.11765772442994140634793887020962 absolute error = 2.2315860543342518016210e-10 relative error = 1.8966762015660371160534612102395e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.462 y[1] (analytic) = 0.11781027960306282973328693407978 y[1] (numeric) = 0.11781027982672167044742671864669 absolute error = 2.2365884071413978456691e-10 relative error = 1.8984662583580279157844307303677e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.461 y[1] (analytic) = 0.11796293268855900871488588262822 y[1] (numeric) = 0.11796293291271839445169356979534 absolute error = 2.2415938573680768716712e-10 relative error = 1.9002527372613249905547750580177e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.46 y[1] (analytic) = 0.11811568346033498874728594035901 y[1] (numeric) = 0.11811568368499522921816765469668 absolute error = 2.2466024047088171433767e-10 relative error = 1.9020356475042197059206633405667e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=499.7MB, alloc=4.5MB, time=50.50 x[1] = -0.459 y[1] (analytic) = 0.11826853191545268882804374644012 y[1] (numeric) = 0.118268532140614093713839122531 absolute error = 2.2516140488579537609088e-10 relative error = 1.9038149982850705812829842486664e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.458 y[1] (analytic) = 0.11842147805097229639275687783157 y[1] (numeric) = 0.11842147827663517534371974556041 absolute error = 2.2566287895096286772884e-10 relative error = 1.9055907987724197187481640189401e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.457 y[1] (analytic) = 0.11857452186395226764368698767255 y[1] (numeric) = 0.118574522090116930279466059171 absolute error = 2.2616466263577907149845e-10 relative error = 1.9073630581051087039916765055739e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.456 y[1] (analytic) = 0.1187276633514493278785462899773 y[1] (numeric) = 0.11872766357811608378816584822667 absolute error = 2.2666675590961955824937e-10 relative error = 1.9091317853923939818611948676342e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=503.5MB, alloc=4.5MB, time=50.90 x[1] = -0.455 y[1] (analytic) = 0.1188809025105184718194473018203 y[1] (numeric) = 0.11888090273768763056128789091479 absolute error = 2.2716915874184058909449e-10 relative error = 1.9108969897140617094349192153835e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.454 y[1] (analytic) = 0.11903423933821296394201575415881 y[1] (numeric) = 0.11903423956588483504379487123233 absolute error = 2.2767187110177911707352e-10 relative error = 1.9126586801205420892431433432251e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.453 y[1] (analytic) = 0.11918767383158433880466658241007 y[1] (numeric) = 0.1191876740597592317634193712291 absolute error = 2.2817489295875278881903e-10 relative error = 1.9144168656330231853346963734049e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.452 y[1] (analytic) = 0.1193412059876824013780429078677 y[1] (numeric) = 0.1193412062163606256601028540932 absolute error = 2.2867822428205994622550e-10 relative error = 1.9161715552435642248646415114573e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=507.3MB, alloc=4.5MB, time=51.31 x[1] = -0.451 y[1] (analytic) = 0.11949483580355522737461792101113 y[1] (numeric) = 0.11949483603273709241559754913213 absolute error = 2.2918186504097962812100e-10 relative error = 1.9179227579152083878561817413597e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.45 y[1] (analytic) = 0.11964856327624916357845957772953 y[1] (numeric) = 0.11964856350593497878323114967125 absolute error = 2.2968581520477157194172e-10 relative error = 1.9196704825820950877793524062655e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.449 y[1] (analytic) = 0.11980238840280882817515801945059 y[1] (numeric) = 0.11980238863299890291783423485993 absolute error = 2.3019007474267621540934e-10 relative error = 1.9214147381495717455718237969250e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.448 y[1] (analytic) = 0.11995631118027711108191562813306 y[1] (numeric) = 0.11995631141097175470583032634401 absolute error = 2.3069464362391469821095e-10 relative error = 1.9231555334943050597095842282039e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=511.1MB, alloc=4.5MB, time=51.73 x[1] = -0.447 y[1] (analytic) = 0.12011033160569517427779962704962 y[1] (numeric) = 0.12011033183689469609548849073183 absolute error = 2.3119952181768886368221e-10 relative error = 1.9248928774643917749283366941228e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.446 y[1] (analytic) = 0.12026444967610245213415713825685 y[1] (numeric) = 0.12026444990780716142733839874957 absolute error = 2.3170470929318126049272e-10 relative error = 1.9266267788794689521670572310068e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.445 y[1] (analytic) = 0.12041866538853665174519260761574 y[1] (numeric) = 0.12041866562074685776474775195038 absolute error = 2.3221020601955514433464e-10 relative error = 1.9283572465308237423075136228718e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.444 y[1] (analytic) = 0.12057297874003375325870750819623 y[1] (numeric) = 0.12057297897274976522466198781023 absolute error = 2.3271601196595447961400e-10 relative error = 1.9300842891815026662553527262859e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.443 y[1] (analytic) = 0.12072738972762801020700223286765 y[1] (numeric) = 0.12072738996085013730850617401225 absolute error = 2.3322212710150394114460e-10 relative error = 1.9318079155664204038974863168376e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=515.0MB, alloc=4.5MB, time=52.16 x[1] = -0.442 y[1] (analytic) = 0.12088189834835194983794008684502 y[1] (numeric) = 0.12088189858208050123324900269005 absolute error = 2.3372855139530891584503e-10 relative error = 1.9335281343924680944610836233234e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.441 y[1] (analytic) = 0.12103650459923637344617329093107 y[1] (numeric) = 0.12103650483347165826262879536923 absolute error = 2.3423528481645550443816e-10 relative error = 1.9352449543386211507751367120899e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.44 y[1] (analytic) = 0.12119120847731035670453090616141 y[1] (numeric) = 0.12119120871205268403854142931516 absolute error = 2.3474232733401052315375e-10 relative error = 1.9369583840560465899318920287607e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.439 y[1] (analytic) = 0.12134600997960124999556859053022 y[1] (numeric) = 0.1213460102148509289125900959639 absolute error = 2.3524967891702150543368e-10 relative error = 1.9386684321682098828215472844660e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=518.8MB, alloc=4.5MB, time=52.53 x[1] = -0.438 y[1] (analytic) = 0.12150090910313467874328009844225 y[1] (numeric) = 0.1215009093388920182777968020822 absolute error = 2.3575733953451670363995e-10 relative error = 1.9403751072709813250047345864248e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.437 y[1] (analytic) = 0.1216559058449345437449704335056 y[1] (numeric) = 0.12165590608119985290047552427128 absolute error = 2.3626530915550509076568e-10 relative error = 1.9420784179327419313737766413273e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.436 y[1] (analytic) = 0.12181100020202302150329056524942 y[1] (numeric) = 0.12181100043879660925226692739819 absolute error = 2.3677358774897636214877e-10 relative error = 1.9437783726944888570349158543807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.435 y[1] (analytic) = 0.12196619217142056455843362031922 y[1] (numeric) = 0.12196619240870273984233455750759 absolute error = 2.3728217528390093718837e-10 relative error = 1.9454749800699403468337638182430e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=522.6MB, alloc=4.5MB, time=52.91 x[1] = -0.434 y[1] (analytic) = 0.12212148175014590182049245867157 y[1] (numeric) = 0.12212148198793697354972241973582 absolute error = 2.3779107172922996106425e-10 relative error = 1.9471682485456402159318057803571e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.433 y[1] (analytic) = 0.1222768689352160389019785452593 y[1] (numeric) = 0.12227686917351631595587385171831 absolute error = 2.3830027705389530645901e-10 relative error = 1.9488581865810618638267401961097e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.432 y[1] (analytic) = 0.1224323537236462584505020276675 y[1] (numeric) = 0.12243235396245604967731160295049 absolute error = 2.3880979122680957528299e-10 relative error = 1.9505448026087118241950529333482e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.431 y[1] (analytic) = 0.12258793611245012048161293012956 y[1] (numeric) = 0.12258793635176973469847903053164 absolute error = 2.3931961421686610040208e-10 relative error = 1.9522281050342328529243661760803e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=526.4MB, alloc=4.5MB, time=53.31 x[1] = -0.43 y[1] (analytic) = 0.12274361609863946271180337432193 y[1] (numeric) = 0.12274361633846920870474232169031 absolute error = 2.3982974599293894736838e-10 relative error = 1.9539081022365065566874909095229e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.429 y[1] (analytic) = 0.12289939367922440089167073730563 y[1] (numeric) = 0.12289939391956458741555365345922 absolute error = 2.4034018652388291615359e-10 relative error = 1.9555848025677555643960749639922e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.428 y[1] (analytic) = 0.12305526885121332913924165695163 y[1] (numeric) = 0.12305526909206426491777519983707 absolute error = 2.4085093577853354288544e-10 relative error = 1.9572582143536452438618570302780e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.427 y[1] (analytic) = 0.12321124161161292027345679515711 y[1] (numeric) = 0.12321124185297491399916389674374 absolute error = 2.4136199372570710158663e-10 relative error = 1.9589283458933849659733931652104e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=530.2MB, alloc=4.5MB, time=53.70 x[1] = -0.426 y[1] (analytic) = 0.12336731195742812614781626912828 y[1] (numeric) = 0.12336731219930148648201687504519 absolute error = 2.4187336033420060591691e-10 relative error = 1.9605952054598289186923524786392e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.425 y[1] (analytic) = 0.12352347988566217798418566097565 y[1] (numeric) = 0.12352348012804721355697747189347 absolute error = 2.4238503557279181091782e-10 relative error = 1.9622588012995764731513083132035e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.424 y[1] (analytic) = 0.12367974539331658670676251583669 y[1] (numeric) = 0.12367974563621360611700173059703 absolute error = 2.4289701941023921476034e-10 relative error = 1.9639191416330721041278439074416e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.423 y[1] (analytic) = 0.12383610847739114327620323871051 y[1] (numeric) = 0.12383610872080045509148529920591 absolute error = 2.4340931181528206049540e-10 relative error = 1.9655762346547048671543820740673e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=534.0MB, alloc=4.5MB, time=54.10 x[1] = -0.422 y[1] (analytic) = 0.123992569134883919023910300159 y[1] (numeric) = 0.12399256937880583178055063796615 absolute error = 2.4392191275664033780715e-10 relative error = 1.9672300885329074345098650457870e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.421 y[1] (analytic) = 0.12414912736279126598647966099808 y[1] (numeric) = 0.12414912760722608818949444576719 absolute error = 2.4443482220301478476911e-10 relative error = 1.9688807114102546923283881767477e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.42 y[1] (analytic) = 0.12430578315810781724030832607266 y[1] (numeric) = 0.12430578340305585736339521567594 absolute error = 2.4494804012308688960328e-10 relative error = 1.9705281114035619010468379405213e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.419 y[1] (analytic) = 0.12446253651782648723636193717888 y[1] (numeric) = 0.12446253676328805372188082962076 absolute error = 2.4546156648551889244188e-10 relative error = 1.9721722966039824213976428058807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.418 y[1] (analytic) = 0.12461938743893847213510231516631 y[1] (numeric) = 0.12461938768491387339405610225851 absolute error = 2.4597540125895378709220e-10 relative error = 1.9738132750771050081467107711870e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=537.8MB, alloc=4.5MB, time=54.52 x[1] = -0.417 y[1] (analytic) = 0.12477633591843325014157486122347 y[1] (numeric) = 0.12477633616492279455359018402748 absolute error = 2.4648954441201532280401e-10 relative error = 1.9754510548630506737558516672391e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.416 y[1] (analytic) = 0.12493338195329858184065572731887 y[1] (numeric) = 0.12493338220030257775396373335905 absolute error = 2.4700399591330800604018e-10 relative error = 1.9770856439765691241462286744178e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.415 y[1] (analytic) = 0.12509052554052051053245866574086 y[1] (numeric) = 0.12509052578803926626387576799068 absolute error = 2.4751875573141710224982e-10 relative error = 1.9787170504071347687162937931251e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.414 y[1] (analytic) = 0.12524776667708336256790146764839 y[1] (numeric) = 0.12524776692511718640281010529287 absolute error = 2.4803382383490863764448e-10 relative error = 1.9803452821190423067652907960782e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=541.7MB, alloc=4.5MB, time=54.91 x[1] = -0.413 y[1] (analytic) = 0.12540510535996974768443190051547 y[1] (numeric) = 0.12540510560851894787676130149271 absolute error = 2.4854920019232940097724e-10 relative error = 1.9819703470515018924555338987595e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.412 y[1] (analytic) = 0.12556254158616055934191305432223 y[1] (numeric) = 0.12556254183522544411411999964667 absolute error = 2.4906488477220694532444e-10 relative error = 1.9835922531187338804339533832694e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.411 y[1] (analytic) = 0.12572007535263497505866800631467 y[1] (numeric) = 0.12572007560221585260171759618525 absolute error = 2.4958087754304958987058e-10 relative error = 1.9852110082100631542276061551419e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.41 y[1] (analytic) = 0.12587770665637045674768371412666 y[1] (numeric) = 0.12587770690646763522103013582249 absolute error = 2.5009717847334642169583e-10 relative error = 1.9868266201900130395072057311191e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=545.5MB, alloc=4.5MB, time=55.29 x[1] = -0.409 y[1] (analytic) = 0.12603543549434275105297404702664 y[1] (numeric) = 0.12603543574495653858454134459322 absolute error = 2.5061378753156729756658e-10 relative error = 1.9884390968983988043087588927209e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.408 y[1] (analytic) = 0.12619326186352588968610186502248 y[1] (numeric) = 0.12619326211465659437226471075128 absolute error = 2.5113070468616284572880e-10 relative error = 1.9900484461504207482863395155713e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.407 y[1] (analytic) = 0.126351185760892189762860055528 y[1] (numeric) = 0.12635118601254011966842452323226 absolute error = 2.5164792990556446770426e-10 relative error = 1.9916546757367568830595460656967e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.406 y[1] (analytic) = 0.12650920718341225414011143726471 y[1] (numeric) = 0.12650920743557771729829577735438 absolute error = 2.5216546315818434008967e-10 relative error = 1.9932577934236552057076194266767e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=549.3MB, alloc=4.5MB, time=55.68 x[1] = -0.405 y[1] (analytic) = 0.12666732612805497175278744104301 y[1] (numeric) = 0.12666732638073827616520285740175 absolute error = 2.5268330441241541635874e-10 relative error = 1.9948578069530255674501473952097e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.404 y[1] (analytic) = 0.12682554259178751795104547703746 y[1] (numeric) = 0.12682554284498897158767690570439 absolute error = 2.5320145363663142866693e-10 relative error = 1.9964547240425311395409692719874e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.403 y[1] (analytic) = 0.1269838565715753548375848981406 y[1] (numeric) = 0.12698385682529526563677178779995 absolute error = 2.5371991079918688965935e-10 relative error = 1.9980485523856794783959184100960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.402 y[1] (analytic) = 0.1271422680643822316051214689511 y[1] (numeric) = 0.12714226831862090747353856323251 absolute error = 2.5423867586841709428141e-10 relative error = 1.9996392996519131919568843534061e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=553.1MB, alloc=4.5MB, time=56.05 x[1] = -0.401 y[1] (analytic) = 0.1273007770671701848740202499221 y[1] (numeric) = 0.12730077732192793368665837151435 absolute error = 2.5475774881263812159225e-10 relative error = 2.0012269734867002092868005500993e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.4 y[1] (analytic) = 0.12745938357689953903008680616577 y[1] (numeric) = 0.1274593838321766686302336427471 absolute error = 2.5527712960014683658133e-10 relative error = 2.0028115815116236553816927407322e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.399 y[1] (analytic) = 0.12761808759052890656251665038168 y[1] (numeric) = 0.12761808784632572476173754236938 absolute error = 2.5579681819922089198770e-10 relative error = 2.0043931313244713331680101294360e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.398 y[1] (analytic) = 0.12777688910501518840200282934626 y[1] (numeric) = 0.12777688936133200298012155946851 absolute error = 2.5631681457811873012225e-10 relative error = 2.0059716304993248146485284961630e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=556.9MB, alloc=4.5MB, time=56.42 x[1] = -0.397 y[1] (analytic) = 0.12793578811731357425900156337195 y[1] (numeric) = 0.12793578837415069296408114806477 absolute error = 2.5683711870507958469282e-10 relative error = 2.0075470865866481431458022651047e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.396 y[1] (analytic) = 0.128094784624377542962155848115 y[1] (numeric) = 0.12809478488173527351047933074724 absolute error = 2.5735773054832348263224e-10 relative error = 2.0091195071133761485826979629041e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.395 y[1] (analytic) = 0.12825387862315886279687692808189 y[1] (numeric) = 0.12825387888103751287292817401115 absolute error = 2.5787865007605124592926e-10 relative error = 2.0106888995830023777278092918468e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.394 y[1] (analytic) = 0.1284130701106075918440835511549 y[1] (numeric) = 0.12841307036900746910052804461733 absolute error = 2.5839987725644449346243e-10 relative error = 2.0122552714756666413235344525818e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.393 y[1] (analytic) = 0.12857235908367207831909891342865 y[1] (numeric) = 0.12857235934259349037676455626546 absolute error = 2.5892141205766564283681e-10 relative error = 2.0138186302482421800024574815288e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=560.7MB, alloc=4.5MB, time=56.79 x[1] = -0.392 y[1] (analytic) = 0.12873174553929896091070520361982 y[1] (numeric) = 0.12873174579874221535856311584345 absolute error = 2.5944325444785791222363e-10 relative error = 2.0153789833344224508888814693399e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.391 y[1] (analytic) = 0.12889122947443316912035565628357 y[1] (numeric) = 0.12889122973439857351550097848642 absolute error = 2.5996540439514532220285e-10 relative error = 2.0169363381448075367704320887135e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.39 y[1] (analytic) = 0.12905081088601792360154402304093 y[1] (numeric) = 0.12905081114650578546917672064961 absolute error = 2.6048786186763269760868e-10 relative error = 2.0184907020669901797149706903464e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.389 y[1] (analytic) = 0.12921048977099473649933137099283 y[1] (numeric) = 0.12921049003200536333273704037077 absolute error = 2.6101062683340566937794e-10 relative error = 2.0200420824656414409961885186249e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=564.5MB, alloc=4.5MB, time=57.16 x[1] = -0.388 y[1] (analytic) = 0.129370266126303411790030117467 y[1] (numeric) = 0.12937026638783711105056079386838 absolute error = 2.6153369926053067640138e-10 relative error = 2.0215904866825959891827128388782e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.387 y[1] (analytic) = 0.1295301399488820456210452102155 y[1] (numeric) = 0.12953014021093912473810017759344 absolute error = 2.6205707911705496737794e-10 relative error = 2.0231359220369370182341251297958e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.386 y[1] (analytic) = 0.12969011123566702665087236215173 y[1] (numeric) = 0.1296901114982477930218789648236 absolute error = 2.6258076637100660267187e-10 relative error = 2.0246783958250807974365538338553e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.385 y[1] (analytic) = 0.12985017998359303638925324968674 y[1] (numeric) = 0.12985018024669779737964770585958 absolute error = 2.6310476099039445617284e-10 relative error = 2.0262179153208608550019145478650e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=568.4MB, alloc=4.5MB, time=57.54 x[1] = -0.384 y[1] (analytic) = 0.13001034618959304953748758369627 y[1] (numeric) = 0.1300103464532221124806958008552 absolute error = 2.6362906294320821715893e-10 relative error = 2.0277544877756117971428648576594e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.383 y[1] (analytic) = 0.13017060985059833432890196212098 y[1] (numeric) = 0.13017061011475200652632035428356 absolute error = 2.6415367219741839216258e-10 relative error = 2.0292881204182527644269219856935e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.382 y[1] (analytic) = 0.13033097096353845286947541317374 y[1] (numeric) = 0.13033097122821704159045172001319 absolute error = 2.6467858872097630683945e-10 relative error = 2.0308188204553705272021631860544e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.381 y[1] (analytic) = 0.13049142952534126147862153809931 y[1] (numeric) = 0.13049142979054507396043564593954 absolute error = 2.6520381248181410784023e-10 relative error = 2.0323465950713022218776595094438e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=572.2MB, alloc=4.5MB, time=57.91 x[1] = -0.38 y[1] (analytic) = 0.13065198553293291103012716240306 y[1] (numeric) = 0.13065198579866225447797192708842 absolute error = 2.6572934344784476468536e-10 relative error = 2.0338714514282177298312769008070e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.379 y[1] (analytic) = 0.13081263898323784729324740443697 y[1] (numeric) = 0.13081263924949302888020947607963 absolute error = 2.6625518158696207164266e-10 relative error = 2.0353933966662017007079471292955e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.378 y[1] (analytic) = 0.13097338987317881127395707020231 y[1] (numeric) = 0.13097339013996013814099771981041 absolute error = 2.6678132686704064960810e-10 relative error = 2.0369124379033352218634875080783e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.377 y[1] (analytic) = 0.13113423819967683955635828320084 y[1] (numeric) = 0.13113423846698461881229423118996 absolute error = 2.6730777925593594798912e-10 relative error = 2.0384285822357771356930586075935e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=576.0MB, alloc=4.5MB, time=58.28 x[1] = -0.376 y[1] (analytic) = 0.13129518395965126464424425813663 y[1] (numeric) = 0.13129518422748580336572850472792 absolute error = 2.6783453872148424659129e-10 relative error = 2.0399418367378450065842445076168e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.375 y[1] (analytic) = 0.13145622715001971530281912724348 y[1] (numeric) = 0.13145622741838132053432178475119 absolute error = 2.6836160523150265750771e-10 relative error = 2.0414522084620957392145069919324e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.374 y[1] (analytic) = 0.13161736776769811690057372798396 y[1] (numeric) = 0.13161736803658709565436285499537 absolute error = 2.6888897875378912701141e-10 relative error = 2.0429597044394058499098029800039e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.373 y[1] (analytic) = 0.13177860580960069175131726083803 y[1] (numeric) = 0.13177860607901735100743969828864 absolute error = 2.6941665925612243745061e-10 relative error = 2.0444643316790513927686171866204e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=579.8MB, alloc=4.5MB, time=58.67 x[1] = -0.372 y[1] (analytic) = 0.13193994127263995945636472587067 y[1] (numeric) = 0.13193994154258460616262693501782 absolute error = 2.6994464670626220914715e-10 relative error = 2.0459660971687875422496588150379e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.371 y[1] (analytic) = 0.13210137415372673724688004674049 y[1] (numeric) = 0.13210137442419967831882894903807 absolute error = 2.7047294107194890229758e-10 relative error = 2.0474650078749278339058743108871e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.37 y[1] (analytic) = 0.13226290444977014032637479078214 y[1] (numeric) = 0.1322629047207716826472786096596 absolute error = 2.7100154232090381887746e-10 relative error = 2.0489610707424230649461714023429e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.369 y[1] (analytic) = 0.13242453215767758221336239376815 y[1] (numeric) = 0.13242453242920803263419149831667 absolute error = 2.7153045042082910454852e-10 relative error = 2.0504542926949398562901606752378e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.368 y[1] (analytic) = 0.13258625727435477508416779792734 y[1] (numeric) = 0.13258625754641444042357554849603 absolute error = 2.7205966533940775056869e-10 relative error = 2.0519446806349388777747668207542e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=583.6MB, alloc=4.5MB, time=59.05 x[1] = -0.367 y[1] (analytic) = 0.13274807979670573011589241176885 y[1] (numeric) = 0.13274808006929491716019600747416 absolute error = 2.7258918704430359570531e-10 relative error = 2.0534322414437527381646818854243e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.366 y[1] (analytic) = 0.13290999972163275782953430023327 y[1] (numeric) = 0.13290999999475177333269562838433 absolute error = 2.7311901550316132815106e-10 relative error = 2.0549169819816635416037336238374e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.365 y[1] (analytic) = 0.13307201704603646843326351366405 y[1] (numeric) = 0.13307201731968561911687000110704 absolute error = 2.7364915068360648744299e-10 relative error = 2.0563989090879801121415607425292e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.364 y[1] (analytic) = 0.13323413176681577216585246406452 y[1] (numeric) = 0.13323413204099536471909793044912 absolute error = 2.7417959255324546638460e-10 relative error = 2.0578780295811148879577591767361e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=587.4MB, alloc=4.5MB, time=59.44 x[1] = -0.363 y[1] (analytic) = 0.13339634388086787964026125707857 y[1] (numeric) = 0.13339634415557822071992677004918 absolute error = 2.7471034107966551297061e-10 relative error = 2.0593543502586604868944258124180e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.362 y[1] (analytic) = 0.13355865338508830218737788810415 y[1] (numeric) = 0.13355865366032969841781262041925 absolute error = 2.7524139623043473231510e-10 relative error = 2.0608278778974659449069760659114e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.361 y[1] (analytic) = 0.13372106027637085219991321092242 y[1] (numeric) = 0.13372106055214361017301529950466 absolute error = 2.7577275797310208858224e-10 relative error = 2.0622986192537126290233348262254e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.36 y[1] (analytic) = 0.1338835645516076434764505871963 y[1] (numeric) = 0.13388356482791206975164799411655 absolute error = 2.7630442627519740692025e-10 relative error = 2.0637665810629898264035079611491e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=591.2MB, alloc=4.5MB, time=59.82 x[1] = -0.359 y[1] (analytic) = 0.13404616620768909156565012516556 y[1] (numeric) = 0.13404616648452549266988150056374 absolute error = 2.7683640110423137539818e-10 relative error = 2.0652317700403700110749598752191e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.358 y[1] (analytic) = 0.13420886524150391411060741583729 y[1] (numeric) = 0.13420886551887259653830296278311 absolute error = 2.7736868242769554694582e-10 relative error = 2.0666941928804837899159681182111e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.357 y[1] (analytic) = 0.13437166164993913119336667494345 y[1] (numeric) = 0.13437166192784040140642901623996 absolute error = 2.7790127021306234129651e-10 relative error = 2.0681538562575945294464884595361e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.356 y[1] (analytic) = 0.13453455542988006567958819890951 y[1] (numeric) = 0.13453455570831423010737324584242 absolute error = 2.7843416442778504693291e-10 relative error = 2.0696107668256726649796919285088e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=595.1MB, alloc=4.5MB, time=60.20 x[1] = -0.355 y[1] (analytic) = 0.13469754657821034356337004305062 y[1] (numeric) = 0.13469754685717770860266786608644 absolute error = 2.7896736503929782303582e-10 relative error = 2.0710649312184696936790614657638e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.354 y[1] (analytic) = 0.1348606350918118943122238301845 y[1] (numeric) = 0.13486063537131276632723953162041 absolute error = 2.7950087201501570143591e-10 relative error = 2.0725163560495918530557832479296e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.353 y[1] (analytic) = 0.13502382096756495121220459782256 y[1] (numeric) = 0.13502382124759963653453918639114 absolute error = 2.8003468532233458856858e-10 relative error = 2.0739650479125734864354545992170e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.352 y[1] (analytic) = 0.13518710420234805171319459207389 y[1] (numeric) = 0.13518710448291685664182585950558 absolute error = 2.8056880492863126743169e-10 relative error = 2.0754110133809500969112254693160e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=598.9MB, alloc=4.5MB, time=60.58 x[1] = -0.351 y[1] (analytic) = 0.13535048479303803777434091636902 y[1] (numeric) = 0.13535048507414126857560431591523 absolute error = 2.8110323080126339954621e-10 relative error = 2.0768542590083310912945114745827e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.35 y[1] (analytic) = 0.13551396273651005620964694308291 y[1] (numeric) = 0.13551396301814801911721647000313 absolute error = 2.8163796290756952692022e-10 relative error = 2.0782947913284722155689792634777e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.349 y[1] (analytic) = 0.13567753802963755903371739611042 y[1] (numeric) = 0.13567753831181056024858647012585 absolute error = 2.8217300121486907401543e-10 relative error = 2.0797326168553476833359997299136e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.348 y[1] (analytic) = 0.13584121066929230380765701241888 y[1] (numeric) = 0.13584121095200064949811936213598 absolute error = 2.8270834569046234971710e-10 relative error = 2.0811677420832219987442736257039e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=602.7MB, alloc=4.5MB, time=60.97 x[1] = -0.347 y[1] (analytic) = 0.13600498065234435398512269057657 y[1] (numeric) = 0.13600498093558835028675323988326 absolute error = 2.8324399630163054930669e-10 relative error = 2.0826001734867214753767857526515e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.346 y[1] (analytic) = 0.13616884797566207925852903422786 y[1] (numeric) = 0.13616884825944203227416479066562 absolute error = 2.8377995301563575643776e-10 relative error = 2.0840299175209054525689904556911e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.345 y[1] (analytic) = 0.13633281263611215590540719845946 y[1] (numeric) = 0.13633281292042837170512814357409 absolute error = 2.8431621579972094511463e-10 relative error = 2.0854569806213372106166942822307e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.344 y[1] (analytic) = 0.13649687463055956713491694697459 y[1] (numeric) = 0.13649687491541235175602692864881 absolute error = 2.8485278462110998167422e-10 relative error = 2.0868813692041545863308597558870e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.343 y[1] (analytic) = 0.13666103395586760343451182796537 y[1] (numeric) = 0.13666103424125726288151945473626 absolute error = 2.8538965944700762677089e-10 relative error = 2.0883030896661402903842386258864e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=606.5MB, alloc=4.5MB, time=61.34 x[1] = -0.342 y[1] (analytic) = 0.13682529060889786291675737654665 y[1] (numeric) = 0.13682529089482470316135691391087 absolute error = 2.8592684024459953736422e-10 relative error = 2.0897221483847919278877848337073e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.341 y[1] (analytic) = 0.13698964458651025166630225158769 y[1] (numeric) = 0.13698964487297457864735452029746 absolute error = 2.8646432698105226870977e-10 relative error = 2.0911385517183917236277310383184e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.34 y[1] (analytic) = 0.13715409588556298408700221475091 y[1] (numeric) = 0.13715409617256510371051549110402 absolute error = 2.8700211962351327635311e-10 relative error = 2.0925523060060759533882788660607e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.339 y[1] (analytic) = 0.13731864450291258324919685952103 y[1] (numeric) = 0.13731864479045280138830777764753 absolute error = 2.8754021813911091812650e-10 relative error = 2.0939634175679040827704989005557e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=610.3MB, alloc=4.5MB, time=61.71 x[1] = -0.338 y[1] (analytic) = 0.13748329043541388123713899798002 y[1] (numeric) = 0.13748329072349250373209345412892 absolute error = 2.8807862249495445614890e-10 relative error = 2.0953718927049276149198749050311e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.337 y[1] (analytic) = 0.13764803367992001949657661305752 y[1] (numeric) = 0.13764803396853735215471067188641 absolute error = 2.8861733265813405882889e-10 relative error = 2.0967777376992586485592733175094e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.336 y[1] (analytic) = 0.13781287423328244918248728395939 y[1] (numeric) = 0.13781287452243879777820808682991 absolute error = 2.8915634859572080287052e-10 relative error = 2.0981809588141381477197723388768e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.335 y[1] (analytic) = 0.13797781209235093150696499245015 y[1] (numeric) = 0.13797781238204660178173166773257 absolute error = 2.8969567027476667528242e-10 relative error = 2.0995815622940039245565068894751e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=614.1MB, alloc=4.5MB, time=62.08 x[1] = -0.334 y[1] (analytic) = 0.13814284725397353808725921763921 y[1] (numeric) = 0.13814284754420883574956379302894 absolute error = 2.9023529766230457538973e-10 relative error = 2.1009795543645583366236106691104e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.333 y[1] (analytic) = 0.13830797971499665129396622689363 y[1] (numeric) = 0.13830798000577188201931454374267 absolute error = 2.9077523072534831684904e-10 relative error = 2.1023749412328356999794887776611e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.332 y[1] (analytic) = 0.13847320947226496459937247047365 y[1] (numeric) = 0.13847320976358043403026510014036 absolute error = 2.9131546943089262966671e-10 relative error = 2.1037677290872694194875522359104e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.331 y[1] (analytic) = 0.13863853652262148292594998746172 y[1] (numeric) = 0.13863853681447749667186314968148 absolute error = 2.9185601374591316221976e-10 relative error = 2.1051579240977588376616643583095e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=617.9MB, alloc=4.5MB, time=62.45 x[1] = -0.33 y[1] (analytic) = 0.13880396086290752299500373052804 y[1] (numeric) = 0.1388039611553043866323702138081 absolute error = 2.9239686363736648328006e-10 relative error = 2.1065455324157358034093989882744e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.329 y[1] (analytic) = 0.13896948248996271367547071705013 y[1] (numeric) = 0.13896948278290073274766080109176 absolute error = 2.9293801907219008404163e-10 relative error = 2.1079305601742309620122832305807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.328 y[1] (analytic) = 0.13913510140062499633287091407778 y[1] (numeric) = 0.1391351016941044763501732942285 absolute error = 2.9347948001730238015072e-10 relative error = 2.1093130134879397676739907182119e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.327 y[1] (analytic) = 0.13930081759173062517840976460751 y[1] (numeric) = 0.13930081788575187161801247834672 absolute error = 2.9402124643960271373921e-10 relative error = 2.1106928984532882199665491202558e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=621.8MB, alloc=4.5MB, time=62.82 x[1] = -0.326 y[1] (analytic) = 0.13946663106011416761823226260573 y[1] (numeric) = 0.13946663135467748592420361806659 absolute error = 2.9456331830597135546086e-10 relative error = 2.1120702211484983254902191496935e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.325 y[1] (analytic) = 0.13963254180260850460282848419249 y[1] (numeric) = 0.1396325420977142001860979907232 absolute error = 2.9510569558326950653071e-10 relative error = 2.1134449876336532860611639066309e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.324 y[1] (analytic) = 0.13979854981604483097659048237235 y[1] (numeric) = 0.13979855011169320921492978313985 absolute error = 2.9564837823833930076750e-10 relative error = 2.1148172039507624147308882552488e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.323 y[1] (analytic) = 0.13996465509725265582752045267241 y[1] (numeric) = 0.13996465539344402206552425931155 absolute error = 2.9619136623800380663914e-10 relative error = 2.1161868761238257809355791458720e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=625.6MB, alloc=4.5MB, time=63.19 x[1] = -0.322 y[1] (analytic) = 0.14013085764305980283709007702163 y[1] (numeric) = 0.14013085793979446238615710633291 absolute error = 2.9673465954906702931128e-10 relative error = 2.1175540101588985860666593742770e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.321 y[1] (analytic) = 0.14029715745029241063025095317969 y[1] (numeric) = 0.1402971577475706687685648658785 absolute error = 2.9727825813831391269881e-10 relative error = 2.1189186120441552707453781245963e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.32 y[1] (analytic) = 0.14046355451577493312559601699729 y[1] (numeric) = 0.14046355481359709509810635851793 absolute error = 2.9782216197251034152064e-10 relative error = 2.1202806877499533550810986758334e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.319 y[1] (analytic) = 0.14063004883633013988567186476461 y[1] (numeric) = 0.14063004913469651090407500812185 absolute error = 2.9836637101840314335724e-10 relative error = 2.1216402432288970131798979516127e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.318 y[1] (analytic) = 0.14079664040877911646744188287773 y[1] (numeric) = 0.14079664070769000171016197358932 absolute error = 2.9891088524272009071159e-10 relative error = 2.1229972844159003831716425693920e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=629.4MB, alloc=4.5MB, time=63.56 x[1] = -0.317 y[1] (analytic) = 0.14096332922994126477290009202829 y[1] (numeric) = 0.14096332952939696938506999510114 absolute error = 2.9945570461216990307285e-10 relative error = 2.1243518172282506140074016148567e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.316 y[1] (analytic) = 0.14113011529663430339983561309446 y[1] (numeric) = 0.14113011559663513249327786207789 absolute error = 3.0000082909344224898343e-10 relative error = 2.1257038475656706502820956305275e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.315 y[1] (analytic) = 0.14129699860567426799274766188701 y[1] (numeric) = 0.14129699890622052664595540999584 absolute error = 3.0054625865320774810883e-10 relative error = 2.1270533813103817563212897081167e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.314 y[1] (analytic) = 0.14146397915387551159391097987733 y[1] (numeric) = 0.14146397945496750485202895318806 absolute error = 3.0109199325811797331073e-10 relative error = 2.1284004243271657807722922364461e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=633.2MB, alloc=4.5MB, time=63.93 x[1] = -0.313 y[1] (analytic) = 0.14163105693805070499459160800939 y[1] (numeric) = 0.14163105723968873786939706073251 absolute error = 3.0163803287480545272312e-10 relative error = 2.1297449824634271629282211156021e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.312 y[1] (analytic) = 0.14179823195501083708641291067167 y[1] (numeric) = 0.14179823225719521455629658250319 absolute error = 3.0218437746988367183152e-10 relative error = 2.1310870615492546820089901793290e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.311 y[1] (analytic) = 0.14196550420156521521287175687987 y[1] (numeric) = 0.14196550450429624222281883243501 absolute error = 3.0273102700994707555514e-10 relative error = 2.1324266673974829506152385264946e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.31 y[1] (analytic) = 0.14213287367452146552100476569506 y[1] (numeric) = 0.1421328739777994469825758360274 absolute error = 3.0327798146157107033234e-10 relative error = 2.1337638058037536535683442591398e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=637.0MB, alloc=4.5MB, time=64.30 x[1] = -0.309 y[1] (analytic) = 0.14230034037068553331320452287724 y[1] (numeric) = 0.14230034067451077410451654908628 absolute error = 3.0382524079131202620904e-10 relative error = 2.1350984825465765333382097252355e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.308 y[1] (analytic) = 0.14246790428686168339918567574837 y[1] (numeric) = 0.14246790459123448836489295467854 absolute error = 3.0437280496570727893017e-10 relative error = 2.1364307033873901232572140195422e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.307 y[1] (analytic) = 0.14263556541985250044810081321353 y[1] (numeric) = 0.14263556572477317439937594524787 absolute error = 3.0492067395127513203434e-10 relative error = 2.1377604740706222297129882958198e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.306 y[1] (analytic) = 0.14280332376645888934080603786383 y[1] (numeric) = 0.14280332407192773705532089681531 absolute error = 3.0546884771451485895148e-10 relative error = 2.1390878003237501645033188109357e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=640.8MB, alloc=4.6MB, time=64.67 x[1] = -0.305 y[1] (analytic) = 0.14297117932348007552227613705913 y[1] (numeric) = 0.14297117962949740174418284216277 absolute error = 3.0601732622190670510364e-10 relative error = 2.1404126878573607285332863619003e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.304 y[1] (analytic) = 0.14313913208771360535416925986356 y[1] (numeric) = 0.14313913239427971479408114987238 absolute error = 3.0656610943991189000882e-10 relative error = 2.1417351423652099480262494443622e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.303 y[1] (analytic) = 0.14330718205595534646754100668136 y[1] (numeric) = 0.14330718236307054380251361606935 absolute error = 3.0711519733497260938799e-10 relative error = 2.1430551695242825644160942497164e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.302 y[1] (analytic) = 0.14347532922499948811570783841584 y[1] (numeric) = 0.14347532953266407798921987569093 absolute error = 3.0766458987351203727509e-10 relative error = 2.1443727749948512790794054984781e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=644.7MB, alloc=4.6MB, time=65.04 x[1] = -0.301 y[1] (analytic) = 0.14364357359163854152725971194865 y[1] (numeric) = 0.14364357389985282854919404007882 absolute error = 3.0821428702193432813017e-10 relative error = 2.1456879644205357540626582574354e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.3 y[1] (analytic) = 0.14381191515266334025922184871182 y[1] (numeric) = 0.14381191546142762900584646766747 absolute error = 3.0876428874662461895565e-10 relative error = 2.1470007434283613699521614786854e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.299 y[1] (analytic) = 0.1439803539048630405503655430997 y[1] (numeric) = 0.14398035421417763556431457451547 absolute error = 3.0931459501394903141577e-10 relative error = 2.1483111176288177420290389990971e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.298 y[1] (analytic) = 0.14414888984502512167466791744358 y[1] (numeric) = 0.14414889015489032746492259140242 absolute error = 3.0986520579025467395884e-10 relative error = 2.1496190926159169958423023125087e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=648.5MB, alloc=4.6MB, time=65.41 x[1] = -0.297 y[1] (analytic) = 0.14431752296993538629492053024565 y[1] (numeric) = 0.14431752328035150733679017418866 absolute error = 3.1041612104186964394301e-10 relative error = 2.1509246739672518033347858162947e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.296 y[1] (analytic) = 0.14448625327637796081648674434552 y[1] (numeric) = 0.14448625358734530155158977411028 absolute error = 3.1096734073510302976476e-10 relative error = 2.1522278672440531806401833632391e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.295 y[1] (analytic) = 0.14465508076113529574120776166637 y[1] (numeric) = 0.14465508107265416057745267465712 absolute error = 3.1151886483624491299075e-10 relative error = 2.1535286779912480486735013934975e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.294 y[1] (analytic) = 0.14482400542098816602145723116372 y[1] (numeric) = 0.1448240057330588593330236016565 absolute error = 3.1207069331156637049278e-10 relative error = 2.1548271117375165576251617095960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.293 y[1] (analytic) = 0.14499302725271567141434433657514 y[1] (numeric) = 0.14499302756533849754166381316075 absolute error = 3.1262282612731947658561e-10 relative error = 2.1561231739953491764631422991633e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=652.3MB, alloc=4.6MB, time=65.78 x[1] = -0.292 y[1] (analytic) = 0.14516214625309523683606527054363 y[1] (numeric) = 0.14516214656627050008580257571185 absolute error = 3.1317526324973730516822e-10 relative error = 2.1574168702611035485474518711628e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.291 y[1] (analytic) = 0.14533136241890261271640300166385 y[1] (numeric) = 0.1453313627326306173614369335318 absolute error = 3.1372800464503393186795e-10 relative error = 2.1587082060150611144475598413005e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.29 y[1] (analytic) = 0.14550067574691187535337524097485 y[1] (numeric) = 0.14550067606119292563277967716278 absolute error = 3.1428105027940443618793e-10 relative error = 2.1599971867214835030543475319919e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.289 y[1] (analytic) = 0.14567008623389542726803051439897 y[1] (numeric) = 0.14567008654872982738705541805642 absolute error = 3.1483440011902490365745e-10 relative error = 2.1612838178286686920671778142056e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=656.1MB, alloc=4.6MB, time=66.15 x[1] = -0.288 y[1] (analytic) = 0.14583959387662399755939224760152 y[1] (numeric) = 0.14583959419201205168944467558711 absolute error = 3.1538805413005242798559e-10 relative error = 2.1625681047690069389356053863332e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.287 y[1] (analytic) = 0.14600919867186664225955076972168 y[1] (numeric) = 0.14600919898780865453817588293965 absolute error = 3.1594201227862511321797e-10 relative error = 2.1638500529590364833264206244334e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.286 y[1] (analytic) = 0.14617890061639074468890314240063 y[1] (numeric) = 0.14617890093288701921976521829715 absolute error = 3.1649627453086207589652e-10 relative error = 2.1651296677994990221813772236516e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.285 y[1] (analytic) = 0.14634869970696201581154072050814 y[1] (numeric) = 0.14634870002401285666440416773068 absolute error = 3.1705084085286344722254e-10 relative error = 2.1664069546753949584278958869177e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=659.9MB, alloc=4.6MB, time=66.51 x[1] = -0.284 y[1] (analytic) = 0.14651859594034449459078435094505 y[1] (numeric) = 0.14651859625795020580149472616771 absolute error = 3.1760571121071037522266e-10 relative error = 2.1676819189560384243949546746746e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.283 y[1] (analytic) = 0.14668858931330054834486711587395 y[1] (numeric) = 0.14668858963146143391533214279214 absolute error = 3.1816088557046502691819e-10 relative error = 2.1689545659951120809868729057652e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.282 y[1] (analytic) = 0.14685867982259087310276452670699 y[1] (numeric) = 0.14685868014130723700093511720445 absolute error = 3.1871636389817059049746e-10 relative error = 2.1702249011307216936561088097692e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.281 y[1] (analytic) = 0.14702886746497449396017207515483 y[1] (numeric) = 0.1470288677842466401200233526461 absolute error = 3.1927214615985127749127e-10 relative error = 2.1714929296854504862142897300282e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=663.7MB, alloc=4.6MB, time=66.88 x[1] = -0.28 y[1] (analytic) = 0.14719915223720876543563004761672 y[1] (numeric) = 0.14719915255703699775714237256831 absolute error = 3.1982823232151232495159e-10 relative error = 2.1727586569664132735153902497746e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.279 y[1] (analytic) = 0.1473695341360493718267955091678 y[1] (numeric) = 0.14736953445643399417593550680112 absolute error = 3.2038462234913999763332e-10 relative error = 2.1740220882653103740373254018913e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.278 y[1] (analytic) = 0.14754001315825032756686136337523 y[1] (numeric) = 0.14754001347919164377556295355439 absolute error = 3.2094131620870159017916e-10 relative error = 2.1752832288584813033844959751903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.277 y[1] (analytic) = 0.14771058930056397758112239415091 y[1] (numeric) = 0.14771058962206229144726782345862 absolute error = 3.2149831386614542930771e-10 relative error = 2.1765420840069582497289560328012e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=667.5MB, alloc=4.6MB, time=67.26 x[1] = -0.276 y[1] (analytic) = 0.14788126255974099764368819582441 y[1] (numeric) = 0.14788126288179661293108907182912 absolute error = 3.2205561528740087600471e-10 relative error = 2.1777986589565193322011385032095e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.275 y[1] (analytic) = 0.14805203293253039473434289759604 y[1] (numeric) = 0.14805203325514361517272122531337 absolute error = 3.2261322043837832771733e-10 relative error = 2.1790529589377416432358044236876e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.274 y[1] (analytic) = 0.14822290041567950739555158850544 y[1] (numeric) = 0.14822290073885063668052080905723 absolute error = 3.2317112928496922055179e-10 relative error = 2.1803049891660540758761378890407e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.273 y[1] (analytic) = 0.14839386500593400608961334902812 y[1] (numeric) = 0.14839386532966334788265938050195 absolute error = 3.2372934179304603147383e-10 relative error = 2.1815547548417899370285547976888e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=671.4MB, alloc=4.6MB, time=67.63 x[1] = -0.272 y[1] (analytic) = 0.14856492670003789355596079538732 y[1] (numeric) = 0.14856492702432575148442307590004 absolute error = 3.2428785792846228051272e-10 relative error = 2.1828022611502393476635138588068e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.271 y[1] (analytic) = 0.14873608549473350516860604264605 y[1] (numeric) = 0.14873608581958018282565857561414 absolute error = 3.2484667765705253296809e-10 relative error = 2.1840475132617014309429407170700e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.27 y[1] (analytic) = 0.14890734138676150929373299261935 y[1] (numeric) = 0.14890734171216731023836539423946 absolute error = 3.2540580094463240162011e-10 relative error = 2.1852905163315362892581901477476e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.269 y[1] (analytic) = 0.14907869437286090764743585262374 y[1] (numeric) = 0.14907869469882613540443440156649 absolute error = 3.2596522775699854894275e-10 relative error = 2.1865312755002167711519766558306e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.268 y[1] (analytic) = 0.14925014444976903565360379105684 y[1] (numeric) = 0.14925014477629399371353248037709 absolute error = 3.2652495805992868932025e-10 relative error = 2.1877697958933800290953345336133e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=675.2MB, alloc=4.6MB, time=68.00 x[1] = -0.267 y[1] (analytic) = 0.14942169161422156280195163577669 y[1] (numeric) = 0.1494216919413065546211332270434 absolute error = 3.2708499181918159126671e-10 relative error = 2.1890060826218788690841512225464e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.266 y[1] (analytic) = 0.14959333586295249300619652122664 y[1] (numeric) = 0.14959333619059782200669360087549 absolute error = 3.2764532900049707964885e-10 relative error = 2.1902401407818328930157514460043e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.265 y[1] (analytic) = 0.14976507719269416496238039022806 y[1] (numeric) = 0.14976507752090013453197642813999 absolute error = 3.2820596956959603791193e-10 relative error = 2.1914719754546794348006269279397e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.264 y[1] (analytic) = 0.14993691560017725250733825633973 y[1] (numeric) = 0.14993691592894416599951866664868 absolute error = 3.2876691349218041030895e-10 relative error = 2.1927015917072242911603238880409e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=679.0MB, alloc=4.6MB, time=68.37 x[1] = -0.263 y[1] (analytic) = 0.15010885108213076497731213265948 y[1] (numeric) = 0.15010885141145892571124533679228 absolute error = 3.2932816073393320413280e-10 relative error = 2.1939289945916922480545735641300e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.262 y[1] (analytic) = 0.15028088363528204756671053291975 y[1] (numeric) = 0.15028088396517175882722902487153 absolute error = 3.2988971126051849195178e-10 relative error = 2.1951541891457774036808683724027e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.261 y[1] (analytic) = 0.15045301325635678168701345070585 y[1] (numeric) = 0.15045301358680834672459486455409 absolute error = 3.3045156503758141384824e-10 relative error = 2.1963771803926932889803421003176e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.26 y[1] (analytic) = 0.15062523994207898532582272260233 y[1] (numeric) = 0.15062524027309270735657090226264 absolute error = 3.3101372203074817966031e-10 relative error = 2.1975979733412227865804509940065e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=682.8MB, alloc=4.6MB, time=68.74 x[1] = -0.259 y[1] (analytic) = 0.1507975636891710134060576810492 y[1] (numeric) = 0.15079756402074719561168375227613 absolute error = 3.3157618220562607122693e-10 relative error = 2.1988165729857678491017363335810e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.258 y[1] (analytic) = 0.15096998449435355814529600266698 y[1] (numeric) = 0.15096998482649250367309944730297 absolute error = 3.3213894552780344463599e-10 relative error = 2.2000329843063990177485047958480e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.257 y[1] (analytic) = 0.15114250235434564941525965778613 y[1] (numeric) = 0.15114250268704766137810939026182 absolute error = 3.3270201196284973247569e-10 relative error = 2.2012472122689047421005047446665e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.256 y[1] (analytic) = 0.15131511726586465510144586689329 y[1] (numeric) = 0.15131511759913003657776131298232 absolute error = 3.3326538147631544608903e-10 relative error = 2.2024592618248405020166208534759e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=686.6MB, alloc=4.6MB, time=69.11 x[1] = -0.255 y[1] (analytic) = 0.1514878292256262814629029696837 y[1] (numeric) = 0.15148782955945533549663514751521 absolute error = 3.3382905403373217783151e-10 relative error = 2.2036691379115777325580368652648e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.254 y[1] (analytic) = 0.15166063823034457349215111238606 y[1] (numeric) = 0.15166063856473760309276371571813 absolute error = 3.3439302960061260333207e-10 relative error = 2.2048768454523525528333084502025e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.253 y[1] (analytic) = 0.15183354427673191527524765900312 y[1] (numeric) = 0.15183354461168922341769814276027 absolute error = 3.3495730814245048375715e-10 relative error = 2.2060823893563142996621518185354e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.252 y[1] (analytic) = 0.15200654736149903035199723208833 y[1] (numeric) = 0.15200654769702091997671790016631 absolute error = 3.3552188962472066807798e-10 relative error = 2.2072857745185738669516540432640e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=690.4MB, alloc=4.6MB, time=69.47 x[1] = -0.251 y[1] (analytic) = 0.15217964748135498207630628865601 y[1] (numeric) = 0.152179647817441756089185383997 absolute error = 3.3608677401287909534099e-10 relative error = 2.2084870058202518516725651738666e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.25 y[1] (analytic) = 0.15235284463300717397668213679924 y[1] (numeric) = 0.15235284496965913524904493374082 absolute error = 3.3665196127236279694158e-10 relative error = 2.2096860881285265073210687470738e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.249 y[1] (analytic) = 0.15252613881316135011687629856761 y[1] (numeric) = 0.15252613915037880148546619746846 absolute error = 3.3721745136858989890085e-10 relative error = 2.2108830262966815057426756690761e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.248 y[1] (analytic) = 0.15269953001852159545667212463319 y[1] (numeric) = 0.15269953035630483972363174877898 absolute error = 3.3778324426695962414579e-10 relative error = 2.2120778251641535081962888813848e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=694.2MB, alloc=4.6MB, time=69.84 x[1] = -0.247 y[1] (analytic) = 0.1528730182457903362128165662513 y[1] (numeric) = 0.15287301858413967614566886104374 absolute error = 3.3834933993285229479244e-10 relative error = 2.2132704895565795465254908258304e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.246 y[1] (analytic) = 0.15304660349166834022009600999914 y[1] (numeric) = 0.15304660383058407855172534443156 absolute error = 3.3891573833162933443242e-10 relative error = 2.2144610242858442153054860905225e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.245 y[1] (analytic) = 0.15322028575285471729255608075331 y[1] (numeric) = 0.15322028609233715672118935117584 absolute error = 3.3948243942863327042253e-10 relative error = 2.2156494341501266758251006462969e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.244 y[1] (analytic) = 0.15339406502604691958486531834409 y[1] (numeric) = 0.15339406536609636277405305452178 absolute error = 3.4004944318918773617769e-10 relative error = 2.2168357239339474727625594734159e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.243 y[1] (analytic) = 0.15356794130794074195382263330232 y[1] (numeric) = 0.15356794164855749153242010676929 absolute error = 3.4061674957859747346697e-10 relative error = 2.2180198984082151644059740409538e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=698.1MB, alloc=4.6MB, time=70.21 x[1] = -0.242 y[1] (analytic) = 0.15374191459523032232000844709166 y[1] (numeric) = 0.15374191493641468088215678180455 absolute error = 3.4118435856214833471289e-10 relative error = 2.2192019623302727672679195124578e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.241 y[1] (analytic) = 0.15391598488460814202957942219695 y[1] (numeric) = 0.15391598522636041213468670749091 absolute error = 3.4175227010510728529396e-10 relative error = 2.2203819204439440159377680660248e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.24 y[1] (analytic) = 0.15409015217276502621620668741675 y[1] (numeric) = 0.15409015251508551038892909326707 absolute error = 3.4232048417272240585032e-10 relative error = 2.2215597774795794390104188057595e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.239 y[1] (analytic) = 0.15426441645639014416315746368561 y[1] (numeric) = 0.15426441679927914489338035827837 absolute error = 3.4288900073022289459276e-10 relative error = 2.2227355381541022519285062227347e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=701.9MB, alloc=4.6MB, time=70.57 x[1] = -0.238 y[1] (analytic) = 0.15443877773217100966551999572967 y[1] (numeric) = 0.15443877807562882940833906534446 absolute error = 3.4345781974281906961479e-10 relative error = 2.2239092071710540675669379439356e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.237 y[1] (analytic) = 0.15461323599679348139257169483643 y[1] (numeric) = 0.15461323634082042256827406604448 absolute error = 3.4402694117570237120805e-10 relative error = 2.2250807892206404253884010431283e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.236 y[1] (analytic) = 0.15478779124694176325029039799755 y[1] (numeric) = 0.15478779159153812824433576217843 absolute error = 3.4459636499404536418088e-10 relative error = 2.2262502889797761399912060103909e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.235 y[1] (analytic) = 0.15496244347929840474400864866123 y[1] (numeric) = 0.15496244382446449590701038884137 absolute error = 3.4516609116300174018014e-10 relative error = 2.2274177111121304698683974639176e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=705.7MB, alloc=4.6MB, time=70.94 x[1] = -0.234 y[1] (analytic) = 0.15513719269054430134121090430854 y[1] (numeric) = 0.15513719303628042098891722432476 absolute error = 3.4573611964770632001622e-10 relative error = 2.2285830602681721071919193842999e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.233 y[1] (analytic) = 0.15531203887735869483447357604585 y[1] (numeric) = 0.15531203922366514524774863203719 absolute error = 3.4630645041327505599134e-10 relative error = 2.2297463410852139894325107536123e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.232 y[1] (analytic) = 0.1554869820364191737045478053837 y[1] (numeric) = 0.15548698238329625712935283961471 absolute error = 3.4687708342480503423101e-10 relative error = 2.2309075581874579336204003171814e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.231 y[1] (analytic) = 0.15566202216440167348358488334998 y[1] (numeric) = 0.15566202251184969213095936036876 absolute error = 3.4744801864737447701878e-10 relative error = 2.2320667161860390940494481763745e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=709.5MB, alloc=4.6MB, time=71.31 x[1] = -0.23 y[1] (analytic) = 0.15583715925798047711850421706382 y[1] (numeric) = 0.15583715960599973316454696219791 absolute error = 3.4801925604604274513409e-10 relative error = 2.2332238196790702442212452756531e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.229 y[1] (analytic) = 0.15601239331382821533450374887381 y[1] (numeric) = 0.15601239366241901092035408906744 absolute error = 3.4859079558585034019363e-10 relative error = 2.2343788732516858838254859909188e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.228 y[1] (analytic) = 0.15618772432861586699871273314344 y[1] (numeric) = 0.15618772467777850423053164013905 absolute error = 3.4916263723181890699561e-10 relative error = 2.2355318814760861715424089864431e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.227 y[1] (analytic) = 0.1563631522990127594839867757436 y[1] (numeric) = 0.15636315264874754043293801161105 absolute error = 3.4973478094895123586745e-10 relative error = 2.2366828489115806844562278463401e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=713.3MB, alloc=4.6MB, time=71.67 x[1] = -0.226 y[1] (analytic) = 0.15653867722168656903284504129084 y[1] (numeric) = 0.15653867757199379573507630630756 absolute error = 3.5030722670223126501672e-10 relative error = 2.2378317801046320048601151306235e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.225 y[1] (analytic) = 0.15671429909330332112154953314814 y[1] (numeric) = 0.1567142994441832955781736160334 absolute error = 3.5087997445662408288526e-10 relative error = 2.2389786795888991352299893369420e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.224 y[1] (analytic) = 0.15689001791052739082432635118324 y[1] (numeric) = 0.15689001826198041500140228168974 absolute error = 3.5145302417707593050650e-10 relative error = 2.2401235518852807421409921366499e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.223 y[1] (analytic) = 0.15706583367002150317772883225763 y[1] (numeric) = 0.1570658340220478790062430361238 absolute error = 3.5202637582851420386617e-10 relative error = 2.2412664015019582298977068363653e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=717.1MB, alloc=4.6MB, time=72.03 x[1] = -0.222 y[1] (analytic) = 0.15724174636844673354514247839809 y[1] (numeric) = 0.15724174672104676292098993466423 absolute error = 3.5260002937584745626614e-10 relative error = 2.2424072329344386446424007632991e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.221 y[1] (analytic) = 0.15741775600246250798143157758075 y[1] (numeric) = 0.15741775635563649276539697827225 absolute error = 3.5317398478396540069150e-10 relative error = 2.2435460506655974097040658605223e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.22 y[1] (analytic) = 0.15759386256872660359772742203603 y[1] (numeric) = 0.15759386292247484561546633421701 absolute error = 3.5374824201773891218098e-10 relative error = 2.2446828591657208929471101089614e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.219 y[1] (analytic) = 0.15777006606389514892635802896161 y[1] (numeric) = 0.15777006641821794996837805916212 absolute error = 3.5432280104202003020051e-10 relative error = 2.2458176628925488068728149120716e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.218 y[1] (analytic) = 0.1579463664846226242859192685087 y[1] (numeric) = 0.15794636683952028610756122952888 absolute error = 3.5489766182164196102018e-10 relative error = 2.2469504662913164422257884911192e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=721.0MB, alloc=4.6MB, time=72.40 x[1] = -0.217 y[1] (analytic) = 0.15812276382756186214648730388593 y[1] (numeric) = 0.15812276418303468646790638398023 absolute error = 3.5547282432141908009430e-10 relative error = 2.2480812737947967358503015954354e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.216 y[1] (analytic) = 0.15829925808936404749497224840328 y[1] (numeric) = 0.15829925844541233600111918284807 absolute error = 3.5604828850614693444479e-10 relative error = 2.2492100898233421735409906533826e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.215 y[1] (analytic) = 0.15847584926667871820061294425748 y[1] (numeric) = 0.15847584962330277254121518930535 absolute error = 3.5662405434060224504787e-10 relative error = 2.2503369187849265286270147117042e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.214 y[1] (analytic) = 0.15865253735615376538061276783892 y[1] (numeric) = 0.1586525377133538871701556770628 absolute error = 3.5720012178954290922388e-10 relative error = 2.2514617650751864370241476081038e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=724.8MB, alloc=4.6MB, time=72.77 x[1] = -0.213 y[1] (analytic) = 0.1588293223544354337659163663187 y[1] (numeric) = 0.15882932271221192458362436934928 absolute error = 3.5777649081770800303058e-10 relative error = 2.2525846330774628094888669838015e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.212 y[1] (analytic) = 0.15900620425816832206712723025363 y[1] (numeric) = 0.15900620461652148345694501391305 absolute error = 3.5835316138981778365942e-10 relative error = 2.2537055271628420817993908536118e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.211 y[1] (analytic) = 0.1591831830639953833405660069252 y[1] (numeric) = 0.15918318342292551681113969876058 absolute error = 3.5893013347057369183538e-10 relative error = 2.2548244516901973035919520869339e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.21 y[1] (analytic) = 0.15936025876855792535446945910814 y[1] (numeric) = 0.15936025912806533237912781332798 absolute error = 3.5950740702465835421984e-10 relative error = 2.2559414110062290665697723379904e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=728.6MB, alloc=4.6MB, time=73.15 x[1] = -0.209 y[1] (analytic) = 0.15953743136849561095532997394245 y[1] (numeric) = 0.15953743172858059297206555975931 absolute error = 3.6008498201673558581686e-10 relative error = 2.2570564094455062728043725576972e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.208 y[1] (analytic) = 0.15971470086044645843437552656222 y[1] (numeric) = 0.15971470122110931684582591894492 absolute error = 3.6066285841145039238270e-10 relative error = 2.2581694513305067438417912717352e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.207 y[1] (analytic) = 0.15989206724104684189419000311338 y[1] (numeric) = 0.15989206760228787806761897595191 absolute error = 3.6124103617342897283853e-10 relative error = 2.2592805409716576713234608057735e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.206 y[1] (analytic) = 0.16006953050693149161547378777134 y[1] (numeric) = 0.16006953086875100688275250945792 absolute error = 3.6181951526727872168658e-10 relative error = 2.2603896826673759098298075413975e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=732.4MB, alloc=4.6MB, time=73.52 x[1] = -0.205 y[1] (analytic) = 0.16024709065473349442394451834925 y[1] (numeric) = 0.16024709101713179008153274977862 absolute error = 3.6239829565758823142937e-10 relative error = 2.2614968807041081126472805803479e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.204 y[1] (analytic) = 0.16042474768108429405737791506577 y[1] (numeric) = 0.1604247480440616713663052100582 absolute error = 3.6297737730892729499243e-10 relative error = 2.2626021393563707111608114077758e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.203 y[1] (analytic) = 0.16060250158261369153278858702148 y[1] (numeric) = 0.16060250194617045171863549517156 absolute error = 3.6355676018584690815008e-10 relative error = 2.2637054628867897385649522373845e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.202 y[1] (analytic) = 0.16078035235594984551375072091141 y[1] (numeric) = 0.16078035272008628976662999286604 absolute error = 3.6413644425287927195463e-10 relative error = 2.2648068555461404985883955796869e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=736.2MB, alloc=4.6MB, time=73.89 x[1] = -0.201 y[1] (analytic) = 0.1609582999977192726778585564808 y[1] (numeric) = 0.16095830036243570215239635164974 absolute error = 3.6471642947453779516894e-10 relative error = 2.2659063215733870799204852418642e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.2 y[1] (analytic) = 0.16113634450454684808432655321093 y[1] (numeric) = 0.16113634486984356389964364991291 absolute error = 3.6529671581531709670198e-10 relative error = 2.2670038651957217170230266768562e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.199 y[1] (analytic) = 0.16131448587305580554172915270013 y[1] (numeric) = 0.16131448623893310878142216074816 absolute error = 3.6587730323969300804803e-10 relative error = 2.2680994906286039980134986959806e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.198 y[1] (analytic) = 0.16149272409986773797588004118583 y[1] (numeric) = 0.16149272446632592968800261691468 absolute error = 3.6645819171212257572885e-10 relative error = 2.2691932020757999202942158805563e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=740.0MB, alloc=4.6MB, time=74.25 x[1] = -0.197 y[1] (analytic) = 0.16167105918160259779785081663168 y[1] (numeric) = 0.16167105954864197899489488037111 absolute error = 3.6703938119704406373943e-10 relative error = 2.2702850037294207946065582101585e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.196 y[1] (analytic) = 0.16184949111487869727212896478438 y[1] (numeric) = 0.16184949148249956893100592078112 absolute error = 3.6762087165887695599674e-10 relative error = 2.2713748997699619981786304524004e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.195 y[1] (analytic) = 0.16202801989631270888491504858346 y[1] (numeric) = 0.16202802026451537194693700737548 absolute error = 3.6820266306202195879202e-10 relative error = 2.2724628943663415776383084947901e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.194 y[1] (analytic) = 0.16220664552251966571255901528741 y[1] (numeric) = 0.16220664589130442108342001853369 absolute error = 3.6878475537086100324628e-10 relative error = 2.2735489916759387023549059285992e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.193 y[1] (analytic) = 0.16238536799011296179013552565912 y[1] (numeric) = 0.16238536835948011033989277342814 absolute error = 3.6936714854975724776902e-10 relative error = 2.2746331958446319688714935100341e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=743.8MB, alloc=4.6MB, time=74.63 x[1] = -0.192 y[1] (analytic) = 0.16256418729570435248015820953286 y[1] (numeric) = 0.16256418766565419504321329005324 absolute error = 3.6994984256305508052038e-10 relative error = 2.2757155110068375570878396939965e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.191 y[1] (analytic) = 0.16274310343590395484143275206538 y[1] (numeric) = 0.16274310380643679221651287394182 absolute error = 3.7053283737508012187644e-10 relative error = 2.2767959412855472388476422301309e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.19 y[1] (analytic) = 0.16292211640732024799804871495264 y[1] (numeric) = 0.16292211677843638094818794185069 absolute error = 3.7111613295013922689805e-10 relative error = 2.2778744907923662395845291453203e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.189 y[1] (analytic) = 0.16310122620656007350850999687457 y[1] (numeric) = 0.16310122657825980276103048467721 absolute error = 3.7169972925252048780264e-10 relative error = 2.2789511636275509536723450570793e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=747.7MB, alloc=4.6MB, time=74.99 x[1] = -0.188 y[1] (analytic) = 0.16328043283022863573500383740869 y[1] (numeric) = 0.16328043320251226198149707384841 absolute error = 3.7228362624649323643972e-10 relative error = 2.2800259638800465141297632406696e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.187 y[1] (analytic) = 0.16345973627492950221280826863494 y[1] (numeric) = 0.16345973664779732610911631540428 absolute error = 3.7286782389630804676934e-10 relative error = 2.2810988956275242173172118843779e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.186 y[1] (analytic) = 0.16363913653726460401983791863243 y[1] (numeric) = 0.16363913691071692618603465597649 absolute error = 3.7345232216619673734406e-10 relative error = 2.2821699629364188032687777846342e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.185 y[1] (analytic) = 0.16381863361383423614632807104992 y[1] (numeric) = 0.1638186339878713571667004448441 absolute error = 3.7403712102037237379418e-10 relative error = 2.2832391698619655922936687044911e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=751.5MB, alloc=4.6MB, time=75.36 x[1] = -0.184 y[1] (analytic) = 0.16399822750123705786465688491127 y[1] (numeric) = 0.16399822787585927828768615622759 absolute error = 3.7462222042302927131632e-10 relative error = 2.2843065204482374784807506808957e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.183 y[1] (analytic) = 0.16417791819607009309930567879748 y[1] (numeric) = 0.16417791857127771343764867596267 absolute error = 3.7520762033834299716519e-10 relative error = 2.2853720187281817807350147838140e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.182 y[1] (analytic) = 0.16435770569492873079695718352669 y[1] (numeric) = 0.16435770607072205152742755667556 absolute error = 3.7579332073047037314887e-10 relative error = 2.2864356687236569519746398414825e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.181 y[1] (analytic) = 0.16453758999440672529673166743415 y[1] (numeric) = 0.16453759037078604686028114556132 absolute error = 3.7637932156354947812717e-10 relative error = 2.2874974744454691471096424932454e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=755.3MB, alloc=4.6MB, time=75.73 x[1] = -0.18 y[1] (analytic) = 0.16471757109109619670056083833368 y[1] (numeric) = 0.16471757146806181950226048884728 absolute error = 3.7696562280169965051360e-10 relative error = 2.2885574398934086504258741637600e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.179 y[1] (analytic) = 0.16489764898158763124369942622327 y[1] (numeric) = 0.16489764935913985565272091700365 absolute error = 3.7755222440902149078038e-10 relative error = 2.2896155690562861629883596590977e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.178 y[1] (analytic) = 0.16507782366246988166537435077681 y[1] (numeric) = 0.16507782404060900801497121474377 absolute error = 3.7813912634959686396696e-10 relative error = 2.2906718659119689506812533331180e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.177 y[1] (analytic) = 0.16525809513033016757957137764498 y[1] (numeric) = 0.16525809550905649616706027983678 absolute error = 3.7872632858748890219180e-10 relative error = 2.2917263344274168534942746573237e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=759.1MB, alloc=4.6MB, time=76.09 x[1] = -0.176 y[1] (analytic) = 0.16543846338175407584595916756835 y[1] (numeric) = 0.16543846376106790693270117473577 absolute error = 3.7931383108674200716742e-10 relative error = 2.2927789785587181566640541190066e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.175 y[1] (analytic) = 0.16561892841332556094095062228614 y[1] (numeric) = 0.16561892879322719475233247500505 absolute error = 3.7990163381138185271891e-10 relative error = 2.2938298022511253242769074369711e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.174 y[1] (analytic) = 0.16579949022162694532890143120474 y[1] (numeric) = 0.16579949060211668205431681851044 absolute error = 3.8048973672541538730570e-10 relative error = 2.2948788094390905959342110327295e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.173 y[1] (analytic) = 0.1659801488032389198334457227705 y[1] (numeric) = 0.16598014918431705962627655931711 absolute error = 3.8107813979283083654661e-10 relative error = 2.2959260040463014470799212194306e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=762.9MB, alloc=4.6MB, time=76.46 x[1] = -0.172 y[1] (analytic) = 0.16616090415474054400896872447175 y[1] (numeric) = 0.16616090453640738698656643022001 absolute error = 3.8166684297759770574826e-10 relative error = 2.2969713899857159135871893413976e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.171 y[1] (analytic) = 0.16634175627270924651221633537553 y[1] (numeric) = 0.1663417566549650927558831178125 absolute error = 3.8225584624366678243697e-10 relative error = 2.2980149711595977811983873505618e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.17 y[1] (analytic) = 0.16652270515372082547404151508569 y[1] (numeric) = 0.16652270553656597502901165397943 absolute error = 3.8284514955497013889374e-10 relative error = 2.2990567514595516404066906190162e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.169 y[1] (analytic) = 0.16670375079434944887128739298891 y[1] (numeric) = 0.1667037511777842017467085276816 absolute error = 3.8343475287542113469269e-10 relative error = 2.3000967347665578073692230030765e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.168 y[1] (analytic) = 0.16688489319116765489880700163629 y[1] (numeric) = 0.16688489357519231106772142087927 absolute error = 3.8402465616891441924298e-10 relative error = 2.3011349249510071114367057976516e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=766.7MB, alloc=4.6MB, time=76.83 x[1] = -0.167 y[1] (analytic) = 0.16706613234074635234161953808927 y[1] (numeric) = 0.16706613272536121174094547242304 absolute error = 3.8461485939932593433377e-10 relative error = 2.3021713258727355498789272272793e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.166 y[1] (analytic) = 0.1672474682396548209472030570386 y[1] (numeric) = 0.16724746862486018347771597372141 absolute error = 3.8520536253051291668281e-10 relative error = 2.3032059413810588103886756044718e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.165 y[1] (analytic) = 0.16742890088446071179792349948684 y[1] (numeric) = 0.16742890127025687732423739997503 absolute error = 3.8579616552631390048819e-10 relative error = 2.3042387753148066619375781821579e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.164 y[1] (analytic) = 0.16761043027173004768359996076507 y[1] (numeric) = 0.16761043065811731603414868074863 absolute error = 3.8638726835054871998356e-10 relative error = 2.3052698315023572145591418571574e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=770.5MB, alloc=4.6MB, time=77.19 x[1] = -0.163 y[1] (analytic) = 0.16779205639802722347420610163591 y[1] (numeric) = 0.16779205678500589444122461363244 absolute error = 3.8697867096701851199653e-10 relative error = 2.3062991137616710486278913986957e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.162 y[1] (analytic) = 0.1679737792599150064927076062154 y[1] (numeric) = 0.16797377964748537983221332472608 absolute error = 3.8757037333950571851068e-10 relative error = 2.3073266259003252142050089731181e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.161 y[1] (analytic) = 0.16815559885395453688803559042804 y[1] (numeric) = 0.16815559924211691231980967965873 absolute error = 3.8816237543177408923069e-10 relative error = 2.3083523717155471010126073235828e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.16 y[1] (analytic) = 0.16833751517670532800819586468977 y[1] (numeric) = 0.16833751556546000521576454884063 absolute error = 3.8875467720756868415086e-10 relative error = 2.3093763549942481796005459697263e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=774.4MB, alloc=4.6MB, time=77.56 x[1] = -0.159 y[1] (analytic) = 0.1685195282247252667735139544947 y[1] (numeric) = 0.16851952861407254540412983062189 absolute error = 3.8934727863061587612719e-10 relative error = 2.3103985795130576142663444646165e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.158 y[1] (analytic) = 0.16870163799457061405001578256349 y[1] (numeric) = 0.16870163838451079371463913601592 absolute error = 3.8994017966462335345243e-10 relative error = 2.3114190490383557482814999673739e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.157 y[1] (analytic) = 0.16888384448279600502294391619096 y[1] (numeric) = 0.16888384487332938529622403862592 absolute error = 3.9053338027328012243496e-10 relative error = 2.3124377673263074619834141602223e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.156 y[1] (analytic) = 0.16906614768595444957040928341344 y[1] (numeric) = 0.16906614807708132999066579339405 absolute error = 3.9112688042025650998061e-10 relative error = 2.3134547381228954042790359993892e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=778.2MB, alloc=4.6MB, time=77.93 x[1] = -0.155 y[1] (analytic) = 0.16924854760059733263717826159619 y[1] (numeric) = 0.16924854799231801270638242777428 absolute error = 3.9172068006920416617809e-10 relative error = 2.3144699651639530981129006548015e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.154 y[1] (analytic) = 0.16943104422327441460859504202356 y[1] (numeric) = 0.16943104461558919379235110891126 absolute error = 3.9231477918375606688770e-10 relative error = 2.3154834521751979204436343442321e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.153 y[1] (analytic) = 0.16961363755053383168463917405536 y[1] (numeric) = 0.16961363794344300941216569038883 absolute error = 3.9290917772752651633347e-10 relative error = 2.3164952028722639572731817404606e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.152 y[1] (analytic) = 0.16979632757892209625411819239476 y[1] (numeric) = 0.16979632797242597191822934209326 absolute error = 3.9350387566411114969850e-10 relative error = 2.3175052209607347342681215732160e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=782.0MB, alloc=4.6MB, time=78.29 x[1] = -0.151 y[1] (analytic) = 0.16997911430498409726899523099394 y[1] (numeric) = 0.16997911469908297022608216671784 absolute error = 3.9409887295708693572390e-10 relative error = 2.3185135101361758235135229155909e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.15 y[1] (analytic) = 0.17016199772526310061885152710591 y[1] (numeric) = 0.17016199811995727018886370641682 absolute error = 3.9469416957001217931091e-10 relative error = 2.3195200740841673269323385030004e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.149 y[1] (analytic) = 0.17034497783630074950548371897188 y[1] (numeric) = 0.17034497823159051497191024309838 absolute error = 3.9528976546642652412650e-10 relative error = 2.3205249164803362369049766378209e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.148 y[1] (analytic) = 0.17052805463463706481763584061546 y[1] (numeric) = 0.17052805503052272542748679582775 absolute error = 3.9588566060985095521229e-10 relative error = 2.3215280409903886746183918102636e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=785.8MB, alloc=4.6MB, time=78.66 x[1] = -0.147 y[1] (analytic) = 0.17071122811681044550586591719655 y[1] (numeric) = 0.17071122851329230046965371879343 absolute error = 3.9648185496378780159688e-10 relative error = 2.3225294512701420066729319403910e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.146 y[1] (analytic) = 0.17089449827935766895754706435943 y[1] (numeric) = 0.17089449867643601744926780327097 absolute error = 3.9707834849172073891154e-10 relative error = 2.3235291509655568404717955007757e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.145 y[1] (analytic) = 0.17107786511881389137200299499141 y[1] (numeric) = 0.17107786551648903252911778700062 absolute error = 3.9767514115711479200921e-10 relative error = 2.3245271437127688989154072114244e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.144 y[1] (analytic) = 0.1712613286317126481357778367897 y[1] (numeric) = 0.1712613290299848810591941743768 absolute error = 3.9827223292341633758710e-10 relative error = 2.3255234331381207749224754018879e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.143 y[1] (analytic) = 0.17144488881458585419804016401703 y[1] (numeric) = 0.17144488921345547795209327082934 absolute error = 3.9886962375405310681231e-10 relative error = 2.3265180228581935662918853670890e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=789.6MB, alloc=4.6MB, time=79.04 x[1] = -0.142 y[1] (analytic) = 0.17162854566396380444612114680684 y[1] (numeric) = 0.17162854606343111805855533475811 absolute error = 3.9946731361243418795127e-10 relative error = 2.3275109164798383914251465166164e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.141 y[1] (analytic) = 0.17181229917637517408118672136249 y[1] (numeric) = 0.17181229957644047654313675036462 absolute error = 4.0006530246195002900213e-10 relative error = 2.3285021176002077864168585313034e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.14 y[1] (analytic) = 0.17199614934834701899404368437533 y[1] (numeric) = 0.17199614974901060926001612470624 absolute error = 4.0066359026597244033091e-10 relative error = 2.3294916298067869840279935310529e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.139 y[1] (analytic) = 0.17218009617640477614107961496973 y[1] (numeric) = 0.17218009657766695312893421228046 absolute error = 4.0126217698785459731073e-10 relative error = 2.3304794566774250750456311799064e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=793.4MB, alloc=4.6MB, time=79.41 x[1] = -0.138 y[1] (analytic) = 0.17236413965707226392033652746413 y[1] (numeric) = 0.17236414005893332651126757042883 absolute error = 4.0186106259093104296470e-10 relative error = 2.3314656017803660525376748642946e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.137 y[1] (analytic) = 0.17254827978687168254771815822024 y[1] (numeric) = 0.17254828018933192958623584883217 absolute error = 4.0246024703851769061193e-10 relative error = 2.3324500686742797395021177550226e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.136 y[1] (analytic) = 0.17273251656232361443333078983367 y[1] (numeric) = 0.17273251696538334472724261635088 absolute error = 4.0305973029391182651721e-10 relative error = 2.3334328609082926004143381882096e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.135 y[1] (analytic) = 0.17291684997994702455795751590231 y[1] (numeric) = 0.17291685038360653687834962844619 absolute error = 4.0365951232039211254388e-10 relative error = 2.3344139820220184371675064673885e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=797.2MB, alloc=4.6MB, time=79.77 x[1] = -0.134 y[1] (analytic) = 0.17310128003625926084966584959041 y[1] (numeric) = 0.17310128044051885393088443840056 absolute error = 4.0425959308121858881015e-10 relative error = 2.3353934355455889699030833287105e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.133 y[1] (analytic) = 0.17328580672777605456054857918873 y[1] (numeric) = 0.17328580713263602710018125553758 absolute error = 4.0485997253963267634885e-10 relative error = 2.3363712249996843032243739335616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.132 y[1] (analytic) = 0.17347043005101152064359777385345 y[1] (numeric) = 0.17347043045647217130245495362403 absolute error = 4.0546065065885717977058e-10 relative error = 2.3373473538955632782836696849667e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.131 y[1] (analytic) = 0.17365515000247815812971184268896 y[1] (numeric) = 0.1736551504085397855318081326192 absolute error = 4.0606162740209628993024e-10 relative error = 2.3383218257350937112312070147234e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=801.1MB, alloc=4.6MB, time=80.14 x[1] = -0.13 y[1] (analytic) = 0.17383996657868685050483555032185 y[1] (numeric) = 0.17383996698534975323737113691875 absolute error = 4.0666290273253558659690e-10 relative error = 2.3392946440107825185117086329461e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.129 y[1] (analytic) = 0.17402487977614686608723289209588 y[1] (numeric) = 0.17402488018341134270057493322307 absolute error = 4.0726447661334204112719e-10 relative error = 2.3402658122058057294932018368315e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.128 y[1] (analytic) = 0.17420988959136585840489273200026 y[1] (numeric) = 0.17420988999923220741255675114232 absolute error = 4.0786634900766401914206e-10 relative error = 2.3412353337940383869085808526373e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.127 y[1] (analytic) = 0.17439499602084986657306710642615 y[1] (numeric) = 0.17439499642931838645169838963305 absolute error = 4.0846851987863128320690e-10 relative error = 2.3422032122400843355888781595191e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=804.9MB, alloc=4.6MB, time=80.51 x[1] = -0.126 y[1] (analytic) = 0.17458019906110331567194209682869 y[1] (numeric) = 0.17458019947017430486129709234375 absolute error = 4.0907098918935499551506e-10 relative error = 2.3431694509993058999651968129768e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.125 y[1] (analytic) = 0.17476549870862901712444117435435 y[1] (numeric) = 0.17476549911830277402736889492924 absolute error = 4.0967375690292772057489e-10 relative error = 2.3441340535178534508144240388657e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.124 y[1] (analytic) = 0.17495089495992816907416091947656 y[1] (numeric) = 0.17495089537020499205658434737663 absolute error = 4.1027682298242342790007e-10 relative error = 2.3450970232326948617195646279415e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.123 y[1] (analytic) = 0.17513638781150035676343901966463 y[1] (numeric) = 0.17513638822238054415433651436803 absolute error = 4.1088018739089749470340e-10 relative error = 2.3460583635716448557155645269770e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.122 memory used=808.7MB, alloc=4.6MB, time=80.87 y[1] (analytic) = 0.17532197725984355291155444809408 y[1] (numeric) = 0.17532197767132740300294115668817 absolute error = 4.1148385009138670859409e-10 relative error = 2.3470180779533942425884940872748e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.121 y[1] (analytic) = 0.17550766330145411809305972638944 y[1] (numeric) = 0.17550766371354192913996899666765 absolute error = 4.1208781104690927027821e-10 relative error = 2.3479761697875390472915541538423e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.12 y[1] (analytic) = 0.1756934459328268011162451743726 y[1] (numeric) = 0.1756934463455188713367099706355 absolute error = 4.1269207022046479626290e-10 relative error = 2.3489326424746095299445075133213e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.119 y[1] (analytic) = 0.17587932515045473940173504977375 y[1] (numeric) = 0.17587932556375136697676937133755 absolute error = 4.1329662757503432156380e-10 relative error = 2.3498874994060990978744120929765e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.118 y[1] (analytic) = 0.17606530095082945936121548084417 y[1] (numeric) = 0.17606530136473094243479578325998 absolute error = 4.1390148307358030241581e-10 relative error = 2.3508407439644931101570464545879e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=812.5MB, alloc=4.6MB, time=81.24 x[1] = -0.117 y[1] (analytic) = 0.17625137333044087677629409479296 y[1] (numeric) = 0.17625137374494751345534071378046 absolute error = 4.1450663667904661898750e-10 relative error = 2.3517923795232975751174122794862e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.116 y[1] (analytic) = 0.17643754228577729717749124495332 y[1] (numeric) = 0.17643754270088938553184982305222 absolute error = 4.1511208835435857809890e-10 relative error = 2.3527424094470677412421588656267e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.115 y[1] (analytic) = 0.17662380781332541622336273956695 y[1] (numeric) = 0.17662380822904325428578565550937 absolute error = 4.1571783806242291594242e-10 relative error = 2.3536908370914365819547320621261e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.114 y[1] (analytic) = 0.17681016990957032007975397505732 y[1] (numeric) = 0.17681017032589420584588177586505 absolute error = 4.1632388576612780080773e-10 relative error = 2.3546376658031431747080129305658e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=816.3MB, alloc=4.6MB, time=81.60 x[1] = -0.113 y[1] (analytic) = 0.17699662857099548579918537664746 y[1] (numeric) = 0.17699662898792571722752821245696 absolute error = 4.1693023142834283580950e-10 relative error = 2.3555828989200609748361217432127e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.112 y[1] (analytic) = 0.17718318379408278170036904915896 y[1] (numeric) = 0.177183184211619656712288110778 absolute error = 4.1753687501191906161904e-10 relative error = 2.3565265397712259846170588005431e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.111 y[1] (analytic) = 0.17736983557531246774785654081402 y[1] (numeric) = 0.17736983599345628422754550001308 absolute error = 4.1814381647968895919906e-10 relative error = 2.3574685916768648179854197230896e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.11 y[1] (analytic) = 0.17755658391116319593181762284432 y[1] (numeric) = 0.17755658432991425172628407538627 absolute error = 4.1875105579446645254195e-10 relative error = 2.3584090579484226613389937821227e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=820.1MB, alloc=4.6MB, time=81.97 x[1] = -0.109 y[1] (analytic) = 0.17774342879811201064794998769423 y[1] (numeric) = 0.17774342921747060356699689910588 absolute error = 4.1935859291904691141165e-10 relative error = 2.3593479418885911308790773774927e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.108 y[1] (analytic) = 0.17793037023263434907751976858967 y[1] (numeric) = 0.17793037065260077689372692267835 absolute error = 4.1996642781620715408868e-10 relative error = 2.3602852467913360269194316765624e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.107 y[1] (analytic) = 0.17811740821120404156753278322633 y[1] (numeric) = 0.17811740863177860201623823334516 absolute error = 4.2057456044870545011883e-10 relative error = 2.3612209759419249856019763628791e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.106 y[1] (analytic) = 0.17830454273029331201103640431532 y[1] (numeric) = 0.17830454315147630279031792738057 absolute error = 4.2118299077928152306525e-10 relative error = 2.3621551326169550284509577205186e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=823.9MB, alloc=4.6MB, time=82.34 x[1] = -0.105 y[1] (analytic) = 0.17849177378637277822755195970745 y[1] (numeric) = 0.17849177420816449699820851297126 absolute error = 4.2179171877065655326381e-10 relative error = 2.3630877200843800101960130975262e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.104 y[1] (analytic) = 0.17867910137591145234363756480045 y[1] (numeric) = 0.17867910179831219672917074538265 absolute error = 4.2240074438553318058220e-10 relative error = 2.3640187416035379652958719084961e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.103 y[1] (analytic) = 0.17886652549537674117358128991803 y[1] (numeric) = 0.17886652591838680876017679710015 absolute error = 4.2301006758659550718212e-10 relative error = 2.3649482004251783535861144148557e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.102 y[1] (analytic) = 0.17905404614123444660022456533185 y[1] (numeric) = 0.17905404656485413493673366561717 absolute error = 4.2361968833650910028532e-10 relative error = 2.3658760997914892054802903081154e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=827.8MB, alloc=4.6MB, time=82.70 x[1] = -0.101 y[1] (analytic) = 0.17924166330994876595591572658272 y[1] (numeric) = 0.17924166373417837255383672152542 absolute error = 4.2422960659792099494270e-10 relative error = 2.3668024429361241671430021467181e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.1 y[1] (analytic) = 0.17942937699798229240359360273966 y[1] (numeric) = 0.17942937742282211473705329954675 absolute error = 4.2483982233345969680709e-10 relative error = 2.3677272330842294460594507337663e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.099 y[1] (analytic) = 0.17961718720179601531800105021997 y[1] (numeric) = 0.17961718762724635082373623512945 absolute error = 4.2545033550573518490948e-10 relative error = 2.3686504734524706574191855663927e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.098 y[1] (analytic) = 0.17980509391784932066702833477725 y[1] (numeric) = 0.17980509434391046674436724921572 absolute error = 4.2606114607733891443847e-10 relative error = 2.3695721672490595717298320609507e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.097 y[1] (analytic) = 0.1799930971425999913931862642474 y[1] (numeric) = 0.17999309756927224540403008377094 memory used=831.6MB, alloc=4.6MB, time=83.07 absolute error = 4.2667225401084381952354e-10 relative error = 2.3704923176737807640792174562840e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.096 y[1] (analytic) = 0.18018119687250420779520897462752 y[1] (numeric) = 0.18018119729978786706401329064905 absolute error = 4.2728365926880431602153e-10 relative error = 2.3714109279180181654556125109047e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.095 y[1] (analytic) = 0.18036939310401654790978627204604 y[1] (numeric) = 0.18036939353191190972354257635248 absolute error = 4.2789536181375630430644e-10 relative error = 2.3723280011647815165378751393268e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.094 y[1] (analytic) = 0.18055768583358998789342543316571 y[1] (numeric) = 0.1805576862620973495016426052289 absolute error = 4.2850736160821717206319e-10 relative error = 2.3732435405887327243682714346341e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.093 y[1] (analytic) = 0.18074607505767590240444236654674 y[1] (numeric) = 0.180746075486795561019128163631 absolute error = 4.2911965861468579708426e-10 relative error = 2.3741575493562121223092730988822e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=835.4MB, alloc=4.6MB, time=83.44 x[1] = -0.092 y[1] (analytic) = 0.18093456077272406498508203747963 y[1] (numeric) = 0.18093456120245631778072458754976 absolute error = 4.2973225279564255007013e-10 relative error = 2.3750700306252646336948133416343e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.091 y[1] (analytic) = 0.18112314297518264844376805878235 y[1] (numeric) = 0.1811231434055277925573173562155 absolute error = 4.3034514411354929743315e-10 relative error = 2.3759809875456658395774080326569e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.09 y[1] (analytic) = 0.1813118216614982252374813500406 y[1] (numeric) = 0.1813118220924565577683307541454 absolute error = 4.3095833253084940410480e-10 relative error = 2.3768904232589479509724855085439e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.089 y[1] (analytic) = 0.18150059682811576785426776775369 y[1] (numeric) = 0.18150059725968758586423550410007 absolute error = 4.3157181800996773634638e-10 relative error = 2.3777983408984256859998204253722e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=839.2MB, alloc=4.6MB, time=83.82 x[1] = -0.088 y[1] (analytic) = 0.18168946847147864919587460883289 y[1] (numeric) = 0.18168946890366424970918527339622 absolute error = 4.3218560051331066456333e-10 relative error = 2.3787047435892220523209651020125e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.087 y[1] (analytic) = 0.18187843658802864296051588988372 y[1] (numeric) = 0.18187843702082832296378195600657 absolute error = 4.3279968000326606612285e-10 relative error = 2.3796096344482940352667777152944e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.086 y[1] (analytic) = 0.1820675011742059240257663046875 y[1] (numeric) = 0.18206750160761998046796963286255 absolute error = 4.3341405644220332817505e-10 relative error = 2.3805130165844581920503764860079e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.085 y[1] (analytic) = 0.18225666222644906883158376228197 y[1] (numeric) = 0.18225666266047779862405711275958 absolute error = 4.3402872979247335047761e-10 relative error = 2.3814148930984161524576153690488e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=843.0MB, alloc=4.6MB, time=84.20 x[1] = -0.084 y[1] (analytic) = 0.18244591974119505576346040802544 y[1] (numeric) = 0.18244592017583875577986895624927 absolute error = 4.3464370001640854822383e-10 relative error = 2.3823152670827800264047878370124e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.083 y[1] (analytic) = 0.18263527371487926553570203001286 y[1] (numeric) = 0.18263527415013823261202488488711 absolute error = 4.3525896707632285487425e-10 relative error = 2.3832141416220977187530812924473e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.082 y[1] (analytic) = 0.18282472414393548157483575319721 y[1] (numeric) = 0.1828247245798100125093474781889 absolute error = 4.3587453093451172499169e-10 relative error = 2.3841115197928781517656688581405e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.081 y[1] (analytic) = 0.18301427102479589040314592355384 y[1] (numeric) = 0.18301427146128628195639806063358 absolute error = 4.3649039155325213707974e-10 relative error = 2.3850074046636163955925025541687e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=846.8MB, alloc=4.6MB, time=84.58 x[1] = -0.08 y[1] (analytic) = 0.18320391435389108202233808460992 y[1] (numeric) = 0.18320391479099763091714068103466 absolute error = 4.3710654889480259642474e-10 relative error = 2.3859017992948187071661214315734e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.079 y[1] (analytic) = 0.18339365412765005029733094864578 y[1] (numeric) = 0.18339365456537305321873408658716 absolute error = 4.3772300292140313794138e-10 relative error = 2.3867947067390274778904829014338e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.078 y[1] (analytic) = 0.18358349034250019334017626486005 y[1] (numeric) = 0.18358349078083994693545159388155 absolute error = 4.3833975359527532902150e-10 relative error = 2.3876861300408460905000387929492e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.077 y[1] (analytic) = 0.18377342299486731389410648677428 y[1] (numeric) = 0.1837734234338241147727287591609 absolute error = 4.3895680087862227238662e-10 relative error = 2.3885760722369636854696903811112e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=850.7MB, alloc=4.6MB, time=84.97 x[1] = -0.076 y[1] (analytic) = 0.18396345208117561971771014113833 y[1] (numeric) = 0.18396345252074976445133875008221 absolute error = 4.3957414473362860894388e-10 relative error = 2.3894645363561798373498458139097e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.075 y[1] (analytic) = 0.18415357759784772396923480058219 y[1] (numeric) = 0.18415357803803950909169532122758 absolute error = 4.4019178512246052064539e-10 relative error = 2.3903515254194291414007982250187e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.074 y[1] (analytic) = 0.18434379954130464559101756224464 y[1] (numeric) = 0.18434379998211436759828329559584 absolute error = 4.4080972200726573335120e-10 relative error = 2.3912370424398057109000338450247e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.073 y[1] (analytic) = 0.18453411790796580969404293459445 y[1] (numeric) = 0.1845341183493937650442164542901 absolute error = 4.4142795535017351969565e-10 relative error = 2.3921210904225875854918923722020e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.072 y[1] (analytic) = 0.18472453269424904794262803464425 y[1] (numeric) = 0.18472453313629553305592273660143 absolute error = 4.4204648511329470195718e-10 relative error = 2.3930036723652610509490148871742e-07 % Correct digits = 8 h = 0.001 memory used=854.5MB, alloc=4.6MB, time=85.34 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.071 y[1] (analytic) = 0.18491504389657059893923499774229 y[1] (numeric) = 0.18491504433923591019795665267412 absolute error = 4.4266531125872165493183e-10 relative error = 2.3938847912575448707141011060952e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.07 y[1] (analytic) = 0.18510565151134510860941050211273 y[1] (numeric) = 0.18510565195462954235793881092273 absolute error = 4.4328443374852830881000e-10 relative error = 2.3947644500814144295852098202294e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.069 y[1] (analytic) = 0.18529635553498563058685231029948 y[1] (numeric) = 0.18529635597888948313162246235632 absolute error = 4.4390385254477015205684e-10 relative error = 2.3956426518111257899104696549922e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.068 y[1] (analytic) = 0.18548715596390362659860272965419 y[1] (numeric) = 0.18548715640842719420808696395025 absolute error = 4.4452356760948423429606e-10 relative error = 2.3965193994132396606532294084265e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=858.3MB, alloc=4.6MB, time=85.74 x[1] = -0.067 y[1] (analytic) = 0.18567805279450896685036889399383 y[1] (numeric) = 0.18567805323965254575505806319115 absolute error = 4.4514357890468916919732e-10 relative error = 2.3973946958466452796889935504694e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.066 y[1] (analytic) = 0.18586904602320993041196976853876 y[1] (numeric) = 0.18586904646897381680435490590583 absolute error = 4.4576388639238513736707e-10 relative error = 2.3982685440625842096922441183815e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.065 y[1] (analytic) = 0.18606013564641320560290978022714 y[1] (numeric) = 0.18606013609279769563746366947001 absolute error = 4.4638449003455388924287e-10 relative error = 2.3991409470046740479704476059774e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.064 y[1] (analytic) = 0.18625132166052389037807897548694 y[1] (numeric) = 0.18625132210752928017123772347814 absolute error = 4.4700538979315874799120e-10 relative error = 2.4000119076089320506007770006971e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=862.1MB, alloc=4.6MB, time=86.11 x[1] = -0.063 y[1] (analytic) = 0.18644260406194549271357960753198 y[1] (numeric) = 0.18644260450957207834372421994089 absolute error = 4.4762658563014461240891e-10 relative error = 2.4008814288037986712241784187129e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.062 y[1] (analytic) = 0.18663398284707993099267905523414 y[1] (numeric) = 0.18663398329532800850011701506205 absolute error = 4.4824807750743795982791e-10 relative error = 2.4017495135101610148468155990719e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.061 y[1] (analytic) = 0.18682545801232753439188897560858 y[1] (numeric) = 0.18682545846119739977883582463229 absolute error = 4.4886986538694684902371e-10 relative error = 2.4026161646413762070027150660562e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.06 y[1] (analytic) = 0.18701702955408704326717059193522 y[1] (numeric) = 0.18701703000357899249773151506229 absolute error = 4.4949194923056092312707e-10 relative error = 2.4034813851032946786225636040933e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=865.9MB, alloc=4.6MB, time=86.49 x[1] = -0.059 y[1] (analytic) = 0.18720869746875560954026601952401 y[1] (numeric) = 0.1872086979188699385404174320636 absolute error = 4.5011432900015141253959e-10 relative error = 2.4043451777942833669604111652635e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.058 y[1] (analytic) = 0.18740046175272879708515553111844 y[1] (numeric) = 0.18740046220346580174272666897086 absolute error = 4.5073700465757113785242e-10 relative error = 2.4052075456052488329195822155138e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.057 y[1] (analytic) = 0.18759232240240058211464066391592 y[1] (numeric) = 0.18759232285376055827929517668462 absolute error = 4.5135997616465451276870e-10 relative error = 2.4060684914196602951251565707248e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.056 y[1] (analytic) = 0.18778427941416335356705307017026 y[1] (numeric) = 0.18778427986614659705027061719972 absolute error = 4.5198324348321754702946e-10 relative error = 2.4069280181135725810840753216580e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=869.7MB, alloc=4.6MB, time=86.86 x[1] = -0.055 y[1] (analytic) = 0.18797633278440791349308901332666 y[1] (numeric) = 0.18797633323701472006814686266972 absolute error = 4.5260680657505784934306e-10 relative error = 2.4077861285556489957742168329632e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.054 y[1] (analytic) = 0.1881684825095234774427694116256 y[1] (numeric) = 0.18816848296275414284472404194367 absolute error = 4.5323066540195463031807e-10 relative error = 2.4086428256071841080012515082188e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.053 y[1] (analytic) = 0.18836072858589767485252533109736 y[1] (numeric) = 0.1883607290397524947781940364971 absolute error = 4.5385481992566870539974e-10 relative error = 2.4094981121221264548618474778203e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.052 y[1] (analytic) = 0.18855307100991654943240882985517 y[1] (numeric) = 0.1885530714643958195403513276651 absolute error = 4.5447927010794249780993e-10 relative error = 2.4103519909471011646487477838443e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=873.5MB, alloc=4.6MB, time=87.23 x[1] = -0.051 y[1] (analytic) = 0.18874550977796455955342905558033 y[1] (numeric) = 0.188745510233068575463929097071 absolute error = 4.5510401591050004149067e-10 relative error = 2.4112044649214324985332826477887e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.05 y[1] (analytic) = 0.18893804488642457863501349807915 y[1] (numeric) = 0.18893804534215363593006048213016 absolute error = 4.5572905729504698405101e-10 relative error = 2.4120555368771663113566296398534e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.049 y[1] (analytic) = 0.18913067633167789553259429877644 y[1] (numeric) = 0.18913067678803228975586488849417 absolute error = 4.5635439422327058971773e-10 relative error = 2.4129052096390924318644245439435e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.048 y[1] (analytic) = 0.18932340411010421492531951899763 y[1] (numeric) = 0.18932340456708424158215926128689 absolute error = 4.5698002665683974228926e-10 relative error = 2.4137534860247669627113287819937e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.047 y[1] (analytic) = 0.18951622821808165770388926887634 y[1] (numeric) = 0.18951622867568761226129421696958 absolute error = 4.5760595455740494809324e-10 relative error = 2.4146003688445345005663654959843e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=877.4MB, alloc=4.6MB, time=87.59 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.046 y[1] (analytic) = 0.18970914865198676135851659871079 y[1] (numeric) = 0.1897091491102189392451149376585 absolute error = 4.5823217788659833894771e-10 relative error = 2.4154458609015502766459857846731e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.045 y[1] (analytic) = 0.18990216540819448036701305457889 y[1] (numeric) = 0.1899021658670531769730467297045 absolute error = 4.5885869660603367512561e-10 relative error = 2.4162899649918022179986896334816e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.044 y[1] (analytic) = 0.19009527848307818658299880000712 y[1] (numeric) = 0.19009527894256369726030514833014 absolute error = 4.5948551067730634832302e-10 relative error = 2.4171326839041329298674878823800e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.043 y[1] (analytic) = 0.19028848787300966962423720547529 y[1] (numeric) = 0.19028848833312228968623059010611 absolute error = 4.6011262006199338463082e-10 relative error = 2.4179740204202615994510421156002e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=881.2MB, alloc=4.6MB, time=87.95 x[1] = -0.042 y[1] (analytic) = 0.19048179357435913726109380752501 y[1] (numeric) = 0.19048179403509916198274725503497 absolute error = 4.6074002472165344750996e-10 relative error = 2.4188139773148058213855284324975e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.041 y[1] (analytic) = 0.19067519558349521580511953922642 y[1] (numeric) = 0.19067519604486294042294637999638 absolute error = 4.6136772461782684076996e-10 relative error = 2.4196525573553033452647990793903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.04 y[1] (analytic) = 0.19086869389678495049775813374299 y[1] (numeric) = 0.19086869435878067020979364529451 absolute error = 4.6199571971203551155152e-10 relative error = 2.4204897633022337455215665374143e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.039 y[1] (analytic) = 0.19106228851059380589917760272225 y[1] (numeric) = 0.19106228897321781586496065603436 absolute error = 4.6262400996578305331211e-10 relative error = 2.4213255979090400139803176063016e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=885.0MB, alloc=4.6MB, time=88.32 x[1] = -0.038 y[1] (analytic) = 0.191255979421285666277225691225 y[1] (numeric) = 0.19125597988453826161778040004038 absolute error = 4.6325259534055470881538e-10 relative error = 2.4221600639221500754015613564379e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.037 y[1] (analytic) = 0.19144976662522283599650921089301 y[1] (numeric) = 0.19144976708910431179432658401713 absolute error = 4.6388147579781737312412e-10 relative error = 2.4229931640809982263297366128232e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.036 y[1] (analytic) = 0.19164365011876603990759715304161 y[1] (numeric) = 0.19164365058327669120661674963811 absolute error = 4.6451065129901959659650e-10 relative error = 2.4238249011180464975556788150371e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.035 y[1] (analytic) = 0.19183762989827442373634748334927 y[1] (numeric) = 0.1918376303634145455419390712355 absolute error = 4.6514012180559158788623e-10 relative error = 2.4246552777588059405078711062161e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=888.8MB, alloc=4.6MB, time=88.69 x[1] = -0.034 y[1] (analytic) = 0.19203170596010555447335751980422 y[1] (numeric) = 0.19203170642587544175230273675016 absolute error = 4.6576988727894521694594e-10 relative error = 2.4254842967218578378782767441152e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.033 y[1] (analytic) = 0.19222587830061542076353779555339 y[1] (numeric) = 0.19222587876701536844401181358773 absolute error = 4.6639994768047401803434e-10 relative error = 2.4263119607188748387937187759729e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.032 y[1] (analytic) = 0.19242014691615843329580930828665 y[1] (numeric) = 0.19242014738318873626736250101333 absolute error = 4.6703030297155319272668e-10 relative error = 2.4271382724546420188369361852346e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.031 y[1] (analytic) = 0.1926145118030874251929240577752 y[1] (numeric) = 0.19261451227074837830646367070424 absolute error = 4.6766095311353961292904e-10 relative error = 2.4279632346270778652253084015485e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=892.6MB, alloc=4.6MB, time=89.06 x[1] = -0.03 y[1] (analytic) = 0.19280897295775365240140877317052 y[1] (numeric) = 0.19280897342604555046918059706638 absolute error = 4.6829189806777182389586e-10 relative error = 2.4287868499272551874480149199889e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.029 y[1] (analytic) = 0.19300353037650679408163173165615 y[1] (numeric) = 0.19300353084542993187720177890748 absolute error = 4.6892313779557004725133e-10 relative error = 2.4296091210394219536673038716623e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.028 y[1] (analytic) = 0.19319818405569495299799257003233 y[1] (numeric) = 0.1931981845252496252562287540464 absolute error = 4.6955467225823618401407e-10 relative error = 2.4304300506410220531819780200110e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.027 y[1] (analytic) = 0.19339293399166465590923499079971 y[1] (numeric) = 0.1933929344618511573262888084252 absolute error = 4.7018650141705381762549e-10 relative error = 2.4312496414027159852548215455561e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=896.4MB, alloc=4.6MB, time=89.42 x[1] = -0.026 y[1] (analytic) = 0.19358778018076085395888226429543 y[1] (numeric) = 0.19358778065157947919217048127715 absolute error = 4.7081862523328821698172e-10 relative error = 2.4320678959884014746017258957097e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.025 y[1] (analytic) = 0.19378272261932692306579542842219 y[1] (numeric) = 0.19378272309077796673398176789116 absolute error = 4.7145104366818633946897e-10 relative error = 2.4328848170552340138387636970251e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.024 y[1] (analytic) = 0.19397776130370466431485408749713 y[1] (numeric) = 0.19397776177578842099783092149983 absolute error = 4.7208375668297683400270e-10 relative error = 2.4337004072536473331847940699417e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.023 y[1] (analytic) = 0.19417289623023430434775971173561 y[1] (numeric) = 0.1941728967029510685866297558055 absolute error = 4.7271676423887004406989e-10 relative error = 2.4345146692273737977102080011709e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.022 y[1] (analytic) = 0.19436812739525449575396133887031 y[1] (numeric) = 0.19436812786860456205101934964578 absolute error = 4.7335006629705801077547e-10 relative error = 2.4353276056134647324302197441396e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=900.2MB, alloc=4.6MB, time=89.78 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.021 y[1] (analytic) = 0.19456345479510231746170357939537 y[1] (numeric) = 0.19456345526908598028041805528708 absolute error = 4.7398366281871447589171e-10 relative error = 2.4361392190423106755281187777252e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.02 y[1] (analytic) = 0.19475887842611327512919682691023 y[1] (numeric) = 0.19475887890073082889419171182189 absolute error = 4.7461755376499488491166e-10 relative error = 2.4369495121376615600043795565320e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.019 y[1] (analytic) = 0.19495439828462130153590957502696 y[1] (numeric) = 0.19495439875987304063294596513276 absolute error = 4.7525173909703639010580e-10 relative error = 2.4377584875166468240362631199624e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.018 y[1] (analytic) = 0.19515001436695875697398274229068 y[1] (numeric) = 0.1951500148428449757499405958732 absolute error = 4.7588621877595785358252e-10 relative error = 2.4385661477897954503387489798884e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=904.1MB, alloc=4.6MB, time=90.15 x[1] = -0.017 y[1] (analytic) = 0.19534572666945642963976590655104 y[1] (numeric) = 0.19534572714597742240262575690296 absolute error = 4.7652099276285985035192e-10 relative error = 2.4393724955610559348105204327542e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.016 y[1] (analytic) = 0.19554153518844353602547535020925 y[1] (numeric) = 0.19554153566559959704430002160259 absolute error = 4.7715606101882467139334e-10 relative error = 2.4401775334278161847521537567477e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.015 y[1] (analytic) = 0.19573743992024772131097381775308 y[1] (numeric) = 0.19573744039803914481589014447951 absolute error = 4.7779142350491632672643e-10 relative error = 2.4409812639809233469392875819712e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.014 y[1] (analytic) = 0.19593344086119505975567188697943 y[1] (numeric) = 0.19593344133962213993785243546522 absolute error = 4.7842708018218054848579e-10 relative error = 2.4417836898047035658333938590283e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=907.9MB, alloc=4.6MB, time=90.52 x[1] = -0.013 y[1] (analytic) = 0.19612953800761005509055085529182 y[1] (numeric) = 0.19612953848667308610219564929081 absolute error = 4.7906303101164479399899e-10 relative error = 2.4425848134769816722103698845063e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.012 y[1] (analytic) = 0.19632573135581564091030704244686 y[1] (numeric) = 0.19632573183551491686462529131546 absolute error = 4.7969927595431824886860e-10 relative error = 2.4433846375691008024900827225335e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.011 y[1] (analytic) = 0.19652202090213318106561741111278 y[1] (numeric) = 0.19652202138246899603680924117005 absolute error = 4.8033581497119183005727e-10 relative error = 2.4441831646459419490406147831227e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.01 y[1] (analytic) = 0.19671840664288247005552640658901 y[1] (numeric) = 0.19671840712385511807876459556583 absolute error = 4.8097264802323818897682e-10 relative error = 2.4449803972659434417394987312649e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=911.7MB, alloc=4.6MB, time=90.89 x[1] = -0.009 y[1] (analytic) = 0.19691488857438173341995391702494 y[1] (numeric) = 0.19691488905599150849136563160547 absolute error = 4.8160977507141171458053e-10 relative error = 2.4457763379811203610639486661284e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.008 y[1] (analytic) = 0.19711146669294762813232425546237 y[1] (numeric) = 0.19711146717519482420897279192174 absolute error = 4.8224719607664853645937e-10 relative error = 2.4465709893370838829887437712328e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.007 y[1] (analytic) = 0.19730814099489524299231606501523 y[1] (numeric) = 0.19730814147778015399218259295669 absolute error = 4.8288491099986652794146e-10 relative error = 2.4473643538730605559618007427462e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.006 y[1] (analytic) = 0.19750491147653809901873304848649 y[1] (numeric) = 0.19750491196006101882069835768192 absolute error = 4.8352291980196530919543e-10 relative error = 2.4481564341219115102332524859815e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=915.5MB, alloc=4.6MB, time=91.25 x[1] = -0.005 y[1] (analytic) = 0.19770177813418814984249542371142 y[1] (numeric) = 0.19770177861834937228632167404853 absolute error = 4.8416122244382625033711e-10 relative error = 2.4489472326101515998063228436307e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.004 y[1] (analytic) = 0.19789874096415578209975200590306 y[1] (numeric) = 0.19789874144895560098606448044297 absolute error = 4.8479981888631247453991e-10 relative error = 2.4497367518579684772817871145756e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.003 y[1] (analytic) = 0.19809579996274981582511281826433 y[1] (numeric) = 0.19809580044818852491538167941311 absolute error = 4.8543870909026886114878e-10 relative error = 2.4505249943792416018642047205933e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = -0.002 y[1] (analytic) = 0.19829295512627750484500213211896 y[1] (numeric) = 0.19829295561235539786152418091668 absolute error = 4.8607789301652204879772e-10 relative error = 2.4513119626815611807973080652865e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=919.3MB, alloc=4.6MB, time=91.62 x[1] = -0.001 y[1] (analytic) = 0.19849020645104453717113183780142 y[1] (numeric) = 0.19849020693776190779701227633231 absolute error = 4.8671737062588043853089e-10 relative error = 2.4520976592662470444951317305262e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0 y[1] (analytic) = 0.19868755393335503539409504753398 y[1] (numeric) = 0.19868755442071217727322924446131 absolute error = 4.8735714187913419692733e-10 relative error = 2.4528820866283674556340647012184e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.001 y[1] (analytic) = 0.19888499756951155707707983150733 y[1] (numeric) = 0.19888499805750876381413509073657 absolute error = 4.8799720673705525922924e-10 relative error = 2.4536652472567578524695140922780e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.002 y[1] (analytic) = 0.19908253735581509514970298836903 y[1] (numeric) = 0.19908253784445266031010032084287 absolute error = 4.8863756516039733247384e-10 relative error = 2.4544471436340395266400362800228e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.003 y[1] (analytic) = 0.19928017328856507830196375131252 y[1] (numeric) = 0.19928017377784329541185964994133 absolute error = 4.8927821710989589862881e-10 relative error = 2.4552277782366382357205099114827e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=923.1MB, alloc=4.6MB, time=91.98 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.004 y[1] (analytic) = 0.19947790536405937137831733094726 y[1] (numeric) = 0.19947790585397853392458554867867 absolute error = 4.8991916254626821773141e-10 relative error = 2.4560071535348027507852521953616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.005 y[1] (analytic) = 0.1996757335785942757718681961193 y[1] (numeric) = 0.19967573406915467720208152715029 absolute error = 4.9056040143021333103099e-10 relative error = 2.4567852719926233392388542153974e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.006 y[1] (analytic) = 0.19987365792846452981868299383922 y[1] (numeric) = 0.19987365841966646354109505797464 absolute error = 4.9120193372241206413542e-10 relative error = 2.4575621360680501831754624253837e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.007 y[1] (analytic) = 0.20007167840996330919222300946365 y[1] (numeric) = 0.20007167890180706857575003962435 absolute error = 4.9184375938352703016070e-10 relative error = 2.4583377482129117335197078167243e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=926.9MB, alloc=4.6MB, time=92.34 x[1] = 0.008 y[1] (analytic) = 0.20026979501938222729789606826373 y[1] (numeric) = 0.20026979551186810567209870114831 absolute error = 4.9248587837420263288458e-10 relative error = 2.4591121108729330002092018678373e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.009 y[1] (analytic) = 0.20046800775301133566772777950364 y[1] (numeric) = 0.20046800824613962632279284940706 absolute error = 4.9312829065506506990342e-10 relative error = 2.4598852264877537786693587763179e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.01 y[1] (analytic) = 0.20066631660713912435515202413956 y[1] (numeric) = 0.20066631710091012054187435993247 absolute error = 4.9377099618672233579291e-10 relative error = 2.4606570974909468128371211301661e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.011 y[1] (analytic) = 0.20086472157805252232992058723888 y[1] (numeric) = 0.2008647220724665172596848125111 absolute error = 4.9441399492976422527222e-10 relative error = 2.4614277263100358949837802332836e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=930.8MB, alloc=4.6MB, time=92.71 x[1] = 0.012 y[1] (analytic) = 0.20106322266203689787313183620738 y[1] (numeric) = 0.20106322315709418471789417257926 absolute error = 4.9505728684476233637188e-10 relative error = 2.4621971153665139025896015422340e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.013 y[1] (analytic) = 0.20126181985537605897237834590122 y[1] (numeric) = 0.20126182035107693086464841950633 absolute error = 4.9570087189227007360511e-10 relative error = 2.4629652670758607725189492252106e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.014 y[1] (analytic) = 0.20146051315435225371701337168857 y[1] (numeric) = 0.20146051365069700374983602283153 absolute error = 4.9634475003282265114296e-10 relative error = 2.4637321838475614127466744180707e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.015 y[1] (analytic) = 0.20165930255524617069353607151527 y[1] (numeric) = 0.20165930305223509192047316750804 absolute error = 4.9698892122693709599277e-10 relative error = 2.4644978680851235518811909016310e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=934.6MB, alloc=4.6MB, time=93.06 x[1] = 0.016 y[1] (analytic) = 0.20185818805433693938109537801661 y[1] (numeric) = 0.20185818855197032481620762919715 absolute error = 4.9763338543511225118054e-10 relative error = 2.4652623221860955267339252254264e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.017 y[1] (analytic) = 0.20205716964790213054711242170701 y[1] (numeric) = 0.20205717014618027316494120064369 absolute error = 4.9827814261782877893668e-10 relative error = 2.4660255485420840081781615311467e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.018 y[1] (analytic) = 0.20225624733221775664302140626757 y[1] (numeric) = 0.20225624783114094937857057015306 absolute error = 4.9892319273554916388549e-10 relative error = 2.4667875495387716655435777131224e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.019 y[1] (analytic) = 0.20245542110355827220012883694062 y[1] (numeric) = 0.20245542160312680794884655317879 absolute error = 4.9956853574871771623817e-10 relative error = 2.4675483275559347697889494152266e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=938.4MB, alloc=4.6MB, time=93.43 x[1] = 0.02 y[1] (analytic) = 0.20265469095819657422559100302921 y[1] (numeric) = 0.2026546914584107458433515780187 absolute error = 5.0021417161776057498949e-10 relative error = 2.4683078849674607356960501137270e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.021 y[1] (analytic) = 0.2028540568924040025985096154883 y[1] (numeric) = 0.20285405739326410290159532660634 absolute error = 5.0086010030308571111804e-10 relative error = 2.4690662241413656033256561822015e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.022 y[1] (analytic) = 0.20305351890245034046614550058356 y[1] (numeric) = 0.20305351940395666223122843137378 absolute error = 5.0150632176508293079022e-10 relative error = 2.4698233474398114589766771667817e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.023 y[1] (analytic) = 0.20325307698460381464025025058295 y[1] (numeric) = 0.20325307748675665060437412915044 absolute error = 5.0215283596412387856749e-10 relative error = 2.4705792572191237958852080955158e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=942.2MB, alloc=4.6MB, time=93.79 x[1] = 0.024 y[1] (analytic) = 0.20345273113513109599351573243433 y[1] (numeric) = 0.20345273163793073885407777305203 absolute error = 5.0279964286056204061770e-10 relative error = 2.4713339558298088149056457540748e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.025 y[1] (analytic) = 0.20365248135029729985614135537288 y[1] (numeric) = 0.20365248185374404227087410330259 absolute error = 5.0344674241473274792971e-10 relative error = 2.4720874456165706654070156404077e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.026 y[1] (analytic) = 0.20385232762636598641251899839006 y[1] (numeric) = 0.20385232813046012099947217792184 absolute error = 5.0409413458695317953178e-10 relative error = 2.4728397289183286266228641489131e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.027 y[1] (analytic) = 0.20405226995959916109803549848585 y[1] (numeric) = 0.20405227046434098043555786419929 absolute error = 5.0474181933752236571344e-10 relative error = 2.4735908080682342296882309822328e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.028 y[1] (analytic) = 0.20425230834625727499599260061456 y[1] (numeric) = 0.20425230885164707162271379186565 absolute error = 5.0538979662672119125109e-10 relative error = 2.4743406853936883205988294205818e-07 % Correct digits = 8 h = 0.001 memory used=946.0MB, alloc=4.6MB, time=94.15 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.029 y[1] (analytic) = 0.20445244278259922523464427022435 y[1] (numeric) = 0.20445244328863729164945666886157 absolute error = 5.0603806641481239863722e-10 relative error = 2.4750893632163580643247544784278e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.03 y[1] (analytic) = 0.20465267326488235538435126927965 y[1] (numeric) = 0.20465267377156898404639186059288 absolute error = 5.0668662866204059131323e-10 relative error = 2.4758368438521938903104509021196e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.031 y[1] (analytic) = 0.20485299978936245585485289664514 y[1] (numeric) = 0.20485300029669793918348513355096 absolute error = 5.0733548332863223690582e-10 relative error = 2.4765831296114463795915979124811e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.032 y[1] (analytic) = 0.20505342235229376429265579369923 y[1] (numeric) = 0.20505342286027839466745146416626 absolute error = 5.0798463037479567046703e-10 relative error = 2.4773282227986830937590832371468e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=949.8MB, alloc=4.6MB, time=94.52 x[1] = 0.033 y[1] (analytic) = 0.20525394094992896597853971603443 y[1] (numeric) = 0.20525394145856303573926081375244 absolute error = 5.0863406976072109771801e-10 relative error = 2.4780721257128053459992189977968e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.034 y[1] (analytic) = 0.20545455557851919422518017209192 y[1] (numeric) = 0.20545455608780299567176077038815 absolute error = 5.0928380144658059829623e-10 relative error = 2.4788148406470649144365361713863e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.035 y[1] (analytic) = 0.20565526623431403077488782956634 y[1] (numeric) = 0.20565526674424785616741595857282 absolute error = 5.0993382539252812900648e-10 relative error = 2.4795563698890806980076104392283e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.036 y[1] (analytic) = 0.20585607291356150619746459040736 y[1] (numeric) = 0.20585607342414564775616411748271 absolute error = 5.1058414155869952707535e-10 relative error = 2.4802967157208553150901507907894e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=953.7MB, alloc=4.6MB, time=94.88 x[1] = 0.037 y[1] (analytic) = 0.2060569756125081002881762352333 y[1] (numeric) = 0.20605697612374285019338874864282 absolute error = 5.1123474990521251340952e-10 relative error = 2.4810358804187916451137028759046e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.038 y[1] (analytic) = 0.20625797432739874246584153796257 y[1] (numeric) = 0.20625797483928439285800823382008 absolute error = 5.1188565039216669585751e-10 relative error = 2.4817738662537093133740175457979e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.039 y[1] (analytic) = 0.20645906905447681217103775145779 y[1] (numeric) = 0.20645906956701365515068132393293 absolute error = 5.1253684297964357247514e-10 relative error = 2.4825106754908611192750670942008e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.04 y[1] (analytic) = 0.20666025978998413926442236496746 y[1] (numeric) = 0.20666026030317246689212889976205 absolute error = 5.1318832762770653479459e-10 relative error = 2.4832463103899494082199577631603e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=957.5MB, alloc=4.6MB, time=95.24 x[1] = 0.041 y[1] (analytic) = 0.20686154653016100442517103413974 y[1] (numeric) = 0.20686154704400110872157190523697 absolute error = 5.1384010429640087109723e-10 relative error = 2.4839807732051423873723671185405e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.042 y[1] (analytic) = 0.20706292927124613954953158437322 y[1] (numeric) = 0.20706292978573831249528535406297 absolute error = 5.1449217294575376968975e-10 relative error = 2.4847140661850903855060647580250e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.043 y[1] (analytic) = 0.20726440800947672814949398825831 y[1] (numeric) = 0.20726440852462126168526831044266 absolute error = 5.1514453353577432218435e-10 relative error = 2.4854461915729420571650588082871e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.044 y[1] (analytic) = 0.2074659827410884057515762178542 y[1] (numeric) = 0.20746598325688559177802974463651 absolute error = 5.1579718602645352678231e-10 relative error = 2.4861771516063605313489778071077e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=961.3MB, alloc=4.6MB, time=95.61 x[1] = 0.045 y[1] (analytic) = 0.20766765346231526029572587253542 y[1] (numeric) = 0.20766765397876539067349016409655 absolute error = 5.1645013037776429156113e-10 relative error = 2.4869069485175395049415538102505e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.046 y[1] (analytic) = 0.20786942016938983253433748313191 y[1] (numeric) = 0.20786942068649319908399892089751 absolute error = 5.1710336654966143776560e-10 relative error = 2.4876355845332192810999292265619e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.047 y[1] (analytic) = 0.20807128285854311643138539307754 y[1] (numeric) = 0.20807128337630001093346709617973 absolute error = 5.1775689450208170310219e-10 relative error = 2.4883630618747027528168852223267e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.048 y[1] (analytic) = 0.20827324152600455956167211727089 y[1] (numeric) = 0.20827324204441527375661586230823 absolute error = 5.1841071419494374503734e-10 relative error = 2.4890893827578713318728812723923e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=965.1MB, alloc=4.6MB, time=95.97 x[1] = 0.049 y[1] (analytic) = 0.2084752961680020635101920793432 y[1] (numeric) = 0.20847529668706688909834022344241 absolute error = 5.1906482558814814409921e-10 relative error = 2.4898145493932008233889410156467e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.05 y[1] (analytic) = 0.2086774467807619842716106280181 y[1] (numeric) = 0.20867744730048121291318803520123 absolute error = 5.1971922864157740718313e-10 relative error = 2.4905385639857772461937590802804e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.051 y[1] (analytic) = 0.2088796933605091326498582332379 y[1] (numeric) = 0.20887969388088305596495420409867 absolute error = 5.2037392331509597086077e-10 relative error = 2.4912614287353125992164104075745e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.052 y[1] (analytic) = 0.20908203590346677465783976272192 y[1] (numeric) = 0.20908203642449568422638996741482 absolute error = 5.2102890956855020469290e-10 relative error = 2.4919831458361605741143990309593e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=968.9MB, alloc=4.6MB, time=96.34 x[1] = 0.053 y[1] (analytic) = 0.20928447440585663191725873961232 y[1] (numeric) = 0.20928447492754081927902715415794 absolute error = 5.2168418736176841454562e-10 relative error = 2.4927037174773322143459139663537e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.054 y[1] (analytic) = 0.20948700886389888205855648185289 y[1] (numeric) = 0.20948700938623863871311732776355 absolute error = 5.2233975665456084591066e-10 relative error = 2.4934231458425115208976838402946e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.055 y[1] (analytic) = 0.20968963927381215912096602393781 y[1] (numeric) = 0.20968963979680777652768571116668 absolute error = 5.2299561740671968722887e-10 relative error = 2.4941414331100710048718286992276e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.056 y[1] (analytic) = 0.20989236563181355395268072165633 y[1] (numeric) = 0.20989236615546532353069979487399 absolute error = 5.2365176957801907321766e-10 relative error = 2.4948585814530871871420449603481e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=972.7MB, alloc=4.6MB, time=96.72 x[1] = 0.057 y[1] (analytic) = 0.21009518793411861461113744045101 y[1] (numeric) = 0.21009518845842682773935252865301 absolute error = 5.2430821312821508820200e-10 relative error = 2.4955745930393560452830536012376e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.058 y[1] (analytic) = 0.21029810617694134676341422799713 y[1] (numeric) = 0.21029810670190629478045999744608 absolute error = 5.2496494801704576944895e-10 relative error = 2.4962894700314084079780682161505e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.059 y[1] (analytic) = 0.21050112035649421408674237160125 y[1] (numeric) = 0.21050112088211618829097348210738 absolute error = 5.2562197420423111050613e-10 relative error = 2.4970032145865252971102355583020e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.06 y[1] (analytic) = 0.21070423046898813866913274100831 y[1] (numeric) = 0.21070423099526743031860580555185 absolute error = 5.2627929164947306454354e-10 relative error = 2.4977158288567532177383491582709e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.061 y[1] (analytic) = 0.21090743651063250141011631719623 y[1] (numeric) = 0.21090743703756940172257186489548 absolute error = 5.2693690031245554769925e-10 relative error = 2.4984273149889193961615345427883e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=976.5MB, alloc=4.6MB, time=97.08 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.062 y[1] (analytic) = 0.21111073847763514242159880772874 y[1] (numeric) = 0.21111073900522994257444325015728 absolute error = 5.2759480015284444242854e-10 relative error = 2.4991376751246469662722505113982e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.063 y[1] (analytic) = 0.21131413636620236142882924922683 y[1] (numeric) = 0.21131413689445535255911685008382 absolute error = 5.2825299113028760085699e-10 relative error = 2.4998469114003701044004418961205e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.064 y[1] (analytic) = 0.21151763017253891817148249751111 y[1] (numeric) = 0.21151763070145039137589734564804 absolute error = 5.2891147320441484813693e-10 relative error = 2.5005550259473491128456338986398e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.065 y[1] (analytic) = 0.21172121989284803280485550595722 y[1] (numeric) = 0.21172122042241827913969349176492 absolute error = 5.2957024633483798580770e-10 relative error = 2.5012620208916854522978221157725e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=980.4MB, alloc=4.6MB, time=97.44 x[1] = 0.066 y[1] (analytic) = 0.21192490552333138630117729259785 y[1] (numeric) = 0.21192490605356069678232808775744 absolute error = 5.3022931048115079515959e-10 relative error = 2.5019678983543367233443937401713e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.067 y[1] (analytic) = 0.21212868706018912085103249649569 y[1] (numeric) = 0.21212868759107778645396153709704 absolute error = 5.3088866560292904060135e-10 relative error = 2.5026726604511315972595532259223e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.068 y[1] (analytic) = 0.21233256449961984026489842390255 y[1] (numeric) = 0.21233256503116815192462889693394 absolute error = 5.3154831165973047303139e-10 relative error = 2.5033763092927846962729558435842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.069 y[1] (analytic) = 0.21253653783782061037479548471077 y[1] (numeric) = 0.21253653837002885898589031792357 absolute error = 5.3220824861109483321280e-10 relative error = 2.5040788469849114235134423270776e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=984.2MB, alloc=4.6MB, time=97.80 x[1] = 0.07 y[1] (analytic) = 0.21274060707098695943605091969465 y[1] (numeric) = 0.2127406076038554358525947748463 absolute error = 5.3286847641654385515165e-10 relative error = 2.5047802756280427428197649532164e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.071 y[1] (analytic) = 0.21294477219531287852917571902951 y[1] (numeric) = 0.21294477272884187356475698850895 absolute error = 5.3352899503558126947944e-10 relative error = 2.5054805973176399086159916275404e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.072 y[1] (analytic) = 0.21314903320699082196185463256859 y[1] (numeric) = 0.21314903374118062638954743940747 absolute error = 5.3418980442769280683888e-10 relative error = 2.5061798141441091460404738090605e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.073 y[1] (analytic) = 0.21335339010221170767104917234808 y[1] (numeric) = 0.21335339063706261222339537362149 absolute error = 5.3485090455234620127341e-10 relative error = 2.5068779281928162815222221865646e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=988.0MB, alloc=4.6MB, time=98.17 x[1] = 0.074 y[1] (analytic) = 0.21355784287716491762521350778213 y[1] (numeric) = 0.21355784341267721299420470140253 absolute error = 5.3551229536899119362040e-10 relative error = 2.5075749415441013239954858930844e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.075 y[1] (analytic) = 0.21376239152803829822662315400086 y[1] (numeric) = 0.21376239206421227506368268890902 absolute error = 5.3617397683705953490816e-10 relative error = 2.5082708562732929969433935200584e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.076 y[1] (analytic) = 0.21396703605101816071381635377616 y[1] (numeric) = 0.21396703658785410962978134353246 absolute error = 5.3683594891596498975630e-10 relative error = 2.5089656744507232214579275710768e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.077 y[1] (analytic) = 0.21417177644228928156414805347029 y[1] (numeric) = 0.21417177697978749312925139325043 absolute error = 5.3749821156510333978014e-10 relative error = 2.5096593981417415505081161077119e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=991.8MB, alloc=4.6MB, time=98.53 x[1] = 0.078 y[1] (analytic) = 0.21437661269803490289645637343508 y[1] (numeric) = 0.21437661323619566764030876043358 absolute error = 5.3816076474385238699850e-10 relative error = 2.5103520294067295546010930562060e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.079 y[1] (analytic) = 0.21458154481443673287384147327979 y[1] (numeric) = 0.21458154535326034128541343052503 absolute error = 5.3882360841157195724524e-10 relative error = 2.5110435703011151590247365401871e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.08 y[1] (analytic) = 0.21478657278767494610655671241765 y[1] (numeric) = 0.21478657332716168863416061600221 absolute error = 5.3948674252760390358456e-10 relative error = 2.5117340228753869328580965153945e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.081 y[1] (analytic) = 0.21499169661392818405501200629256 y[1] (numeric) = 0.21499169715407835110628411602255 absolute error = 5.4015016705127210972999e-10 relative error = 2.5124233891751083299346456325693e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=995.6MB, alloc=4.6MB, time=98.90 x[1] = 0.082 y[1] (analytic) = 0.21519691628937355543288927867917 y[1] (numeric) = 0.21519691683018743737477177214601 absolute error = 5.4081388194188249346684e-10 relative error = 2.5131116712409318819418452130883e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.083 y[1] (analytic) = 0.21540223181018663661036991044058 y[1] (numeric) = 0.21540223235166452376909292051908 absolute error = 5.4147788715872301007850e-10 relative error = 2.5137988711086133438426075192473e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.084 y[1] (analytic) = 0.21560764317254147201747408511993 y[1] (numeric) = 0.21560764371468365467853774089644 absolute error = 5.4214218266106365577651e-10 relative error = 2.5144849908090257918012484104493e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.085 y[1] (analytic) = 0.21581315037261057454751193173417 y[1] (numeric) = 0.2158131509154173429556684028682 absolute error = 5.4280676840815647113403e-10 relative error = 2.5151700323681736737943940163701e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=999.4MB, alloc=4.6MB, time=99.26 x[1] = 0.086 y[1] (analytic) = 0.21601875340656492596064636512898 y[1] (numeric) = 0.21601875395003657031988190965222 absolute error = 5.4347164435923554452324e-10 relative error = 2.5158539978072068130906986551653e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.087 y[1] (analytic) = 0.21622445227057397728756752424666 y[1] (numeric) = 0.21622445281471078776108453980303 absolute error = 5.4413681047351701555637e-10 relative error = 2.5165368891424343647785918845770e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.088 y[1] (analytic) = 0.2164302469608056492332787086501 y[1] (numeric) = 0.21643024750560791594347778718033 absolute error = 5.4480226671019907853023e-10 relative error = 2.5172187083853387255212903748152e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.089 y[1] (analytic) = 0.21663613747342633258099371363749 y[1] (numeric) = 0.21663613801889434560945569951219 absolute error = 5.4546801302846198587470e-10 relative error = 2.5178994575425893967202637652514e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.09 y[1] (analytic) = 0.21684212380460088859614546427506 y[1] (numeric) = 0.21684212435073493798361351587974 memory used=1003.2MB, alloc=4.6MB, time=99.63 absolute error = 5.4613404938746805160468e-10 relative error = 2.5185791386160568012631294738868e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.091 y[1] (analytic) = 0.21704820595049264943050584866636 y[1] (numeric) = 0.21704820649729302517686750344225 absolute error = 5.4680037574636165477589e-10 relative error = 2.5192577536028260540353023089487e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.092 y[1] (analytic) = 0.21725438390726341852641665076903 y[1] (numeric) = 0.21725438445473041059068589371324 absolute error = 5.4746699206426924294421e-10 relative error = 2.5199353044952106863707255328707e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.093 y[1] (analytic) = 0.21746065767107347102113148306167 y[1] (numeric) = 0.21746065821920736932143081869052 absolute error = 5.4813389830029933562885e-10 relative error = 2.5206117932807663246190201641083e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.094 y[1] (analytic) = 0.21766702723808155415126861935591 y[1] (numeric) = 0.21766702778688264856481114713491 absolute error = 5.4880109441354252777900e-10 relative error = 2.5212872219423043230026826772237e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1007.1MB, alloc=4.6MB, time=99.99 x[1] = 0.095 y[1] (analytic) = 0.21787349260444488765737462804008 y[1] (numeric) = 0.21787349315391346802044612128462 absolute error = 5.4946858036307149324454e-10 relative error = 2.5219615924579053509414894039523e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.096 y[1] (analytic) = 0.2180800537663191641885987060344 y[1] (numeric) = 0.2180800543164555202965396942843 absolute error = 5.5013635610794098824990e-10 relative error = 2.5226349068009329350136643611344e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.097 y[1] (analytic) = 0.21828671071985854970747761372785 y[1] (numeric) = 0.21828671127066297131466546860004 absolute error = 5.5080442160718785487219e-10 relative error = 2.5233071669400469557319531513659e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.098 y[1] (analytic) = 0.21849346346121568389483111116123 y[1] (numeric) = 0.21849346401268846071466213568381 absolute error = 5.5147277681983102452258e-10 relative error = 2.5239783748392170993021704116419e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1010.9MB, alloc=4.6MB, time=100.36 x[1] = 0.099 y[1] (analytic) = 0.21870031198654168055476779571138 y[1] (numeric) = 0.21870031253868310225963931714296 absolute error = 5.5214142170487152143158e-10 relative error = 2.5246485324577362645387213705768e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.1 y[1] (analytic) = 0.21890725629198612801980124152496 y[1] (numeric) = 0.21890725684479648424109370766295 absolute error = 5.5281035622129246613799e-10 relative error = 2.5253176417502339251068207102385e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.101 y[1] (analytic) = 0.21911429637369708955607634094204 y[1] (numeric) = 0.21911429692717666988413541992357 absolute error = 5.5347958032805907898153e-10 relative error = 2.5259857046666894472615038790915e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.102 y[1] (analytic) = 0.21932143222782110376870574814243 y[1] (numeric) = 0.21932143278197019775282443174154 absolute error = 5.5414909398411868359911e-10 relative error = 2.5266527231524453632525698097282e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1014.7MB, alloc=4.6MB, time=100.73 x[1] = 0.103 y[1] (analytic) = 0.21952866385050318500721632523973 y[1] (numeric) = 0.21952866440532208215561703566458 absolute error = 5.5481889714840071042485e-10 relative error = 2.5273186991482206005645542441978e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.104 y[1] (analytic) = 0.21973599123788682377110549104083 y[1] (numeric) = 0.21973599179337581355092219123475 absolute error = 5.5548898977981670019392e-10 relative error = 2.5279836345901236671599260757807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.105 y[1] (analytic) = 0.21994341438611398711550737268133 y[1] (numeric) = 0.21994341494227335895276768013111 absolute error = 5.5615937183726030744978e-10 relative error = 2.5286475314096657928907513347009e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.106 y[1] (analytic) = 0.22015093329132511905696866033921 y[1] (numeric) = 0.22015093384815516233657596439463 absolute error = 5.5683004327960730405542e-10 relative error = 2.5293103915337740272480029162772e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1018.5MB, alloc=4.6MB, time=101.10 x[1] = 0.107 y[1] (analytic) = 0.22035854794965914097933406522248 y[1] (numeric) = 0.22035854850716014504504964793056 absolute error = 5.5750100406571558270808e-10 relative error = 2.5299722168848042936118801845181e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.108 y[1] (analytic) = 0.22056625835725345203974128101856 y[1] (numeric) = 0.22056625891542570619416644147638 absolute error = 5.5817225415442516045782e-10 relative error = 2.5306330093805544001698481065263e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.109 y[1] (analytic) = 0.22077406451024392957472534898622 y[1] (numeric) = 0.22077406506908772307928353121593 absolute error = 5.5884379350455818222971e-10 relative error = 2.5312927709342770076656711708347e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.11 y[1] (analytic) = 0.22098196640476492950643232686348 y[1] (numeric) = 0.22098196696428055158135125121322 absolute error = 5.5951562207491892434974e-10 relative error = 2.5319515034546925541435178570419e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1022.3MB, alloc=4.6MB, time=101.46 x[1] = 0.111 y[1] (analytic) = 0.22118996403694928674894216175753 y[1] (numeric) = 0.22118996459713702657323595983204 absolute error = 5.6018773982429379807451e-10 relative error = 2.5326092088460021368503297976429e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.112 y[1] (analytic) = 0.22139805740292831561470066717593 y[1] (numeric) = 0.22139805796378846232615202030041 absolute error = 5.6086014671145135312448e-10 relative error = 2.5332658890079003514576889786890e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.113 y[1] (analytic) = 0.22160624649883181022106050435077 y[1] (numeric) = 0.22160624706036465291620278557174 absolute error = 5.6153284269514228122097e-10 relative error = 2.5339215458355880887655831521957e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.114 y[1] (analytic) = 0.22181453132078804489693106800045 y[1] (numeric) = 0.22181453188299387263103048762745 absolute error = 5.6220582773409941962700e-10 relative error = 2.5345761812197852890493248247831e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1026.1MB, alloc=4.6MB, time=101.83 x[1] = 0.115 y[1] (analytic) = 0.22202291186492377458953717666703 y[1] (numeric) = 0.22202291242780287637657493135869 absolute error = 5.6287910178703775469166e-10 relative error = 2.5352297970467436542083902658067e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.116 y[1] (analytic) = 0.22223138812736423527128646775965 y[1] (numeric) = 0.22223138869091690008394089315795 absolute error = 5.6355266481265442539830e-10 relative error = 2.5358823951982593178779743345689e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.117 y[1] (analytic) = 0.2224399601042331443467453974278 y[1] (numeric) = 0.22243996066845966111637412434414 absolute error = 5.6422651676962872691634e-10 relative error = 2.5365339775516854736611664488965e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.118 y[1] (analytic) = 0.22264862779165270105972374538109 y[1] (numeric) = 0.22264862835655335867634585953801 absolute error = 5.6490065761662211415692e-10 relative error = 2.5371845459799449616408715400554e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1030.0MB, alloc=4.6MB, time=102.19 x[1] = 0.119 y[1] (analytic) = 0.22285739118574358690046752476559 y[1] (numeric) = 0.22285739175131867421274573009769 absolute error = 5.6557508731227820533210e-10 relative error = 2.5378341023515428133276325253660e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.12 y[1] (analytic) = 0.22306625028262496601296019719959 y[1] (numeric) = 0.22306625084887477182818298271747 absolute error = 5.6624980581522278551788e-10 relative error = 2.5384826485305787552013627953050e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.121 y[1] (analytic) = 0.22327520507841448560233209306506 y[1] (numeric) = 0.22327520564533929868639590328598 absolute error = 5.6692481308406381022092e-10 relative error = 2.5391301863767596710025762811620e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.122 y[1] (analytic) = 0.22348425556922827634237793714421 y[1] (numeric) = 0.22348425613682838541976934609323 absolute error = 5.6760010907739140894902e-10 relative error = 2.5397767177454120229288501503158e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.123 y[1] (analytic) = 0.22369340175118095278318237968416 y[1] (numeric) = 0.22369340231945664653696026846922 absolute error = 5.6827569375377788878506e-10 relative error = 2.5404222444874942318899849529047e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1033.8MB, alloc=4.6MB, time=102.57 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.124 y[1] (analytic) = 0.22390264362038561375885343296518 y[1] (numeric) = 0.22390264418933718083063117093025 absolute error = 5.6895156707177773796507e-10 relative error = 2.5410667684496090169790135517044e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.125 y[1] (analytic) = 0.22411198117295384279536371344256 y[1] (numeric) = 0.22411198174258157178529134290223 absolute error = 5.6962772898992762945967e-10 relative error = 2.5417102914740156943091543444926e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.126 y[1] (analytic) = 0.22432141440499570851849938952451 y[1] (numeric) = 0.22432141497529988798524581408385 absolute error = 5.7030417946674642455934e-10 relative error = 2.5423528153986424353716186984614e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.127 y[1] (analytic) = 0.22453094331261976506191673504241 y[1] (numeric) = 0.2245309438836006835226519115059 absolute error = 5.7098091846073517646349e-10 relative error = 2.5429943420570984850663382646783e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1037.6MB, alloc=4.6MB, time=102.93 x[1] = 0.128 y[1] (analytic) = 0.22474056789193305247530618846325 y[1] (numeric) = 0.22474056846359099840568332233639 absolute error = 5.7165794593037713387314e-10 relative error = 2.5436348732786863395563234035470e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.129 y[1] (analytic) = 0.22495028813904109713266381788754 y[1] (numeric) = 0.22495028871137635896680156247485 absolute error = 5.7233526183413774458731e-10 relative error = 2.5442744108884138840970189460842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.13 y[1] (analytic) = 0.2251601040500479121406700918693 y[1] (numeric) = 0.22516010462306077827113475097257 absolute error = 5.7301286613046465910327e-10 relative error = 2.5449129567070064909916047557700e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.131 y[1] (analytic) = 0.22537001562105599774717585608887 y[1] (numeric) = 0.22537001619474675652496359030924 absolute error = 5.7369075877778773422037e-10 relative error = 2.5455505125509190778206411151239e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1041.4MB, alloc=4.6MB, time=103.30 x[1] = 0.132 y[1] (analytic) = 0.22558002284816634174979541590256 y[1] (numeric) = 0.22558002342253528148431445255015 absolute error = 5.7436893973451903664759e-10 relative error = 2.5461870802323481260956985776988e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.133 y[1] (analytic) = 0.22579012572747841990460662478677 y[1] (numeric) = 0.22579012630252582886365947140171 absolute error = 5.7504740895905284661494e-10 relative error = 2.5468226615592436604859344279576e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.134 y[1] (analytic) = 0.22600032425509019633495787868834 y[1] (numeric) = 0.22600032483081636274472354017681 absolute error = 5.7572616640976566148847e-10 relative error = 2.5474572583353211887643108198993e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.135 y[1] (analytic) = 0.22621061842709812394038191628643 y[1] (numeric) = 0.22621061900350333598539811567544 absolute error = 5.7640521204501619938901e-10 relative error = 2.5480908723600736026211263290777e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1045.2MB, alloc=4.6MB, time=103.67 x[1] = 0.136 y[1] (analytic) = 0.22642100823959714480561632516488 y[1] (numeric) = 0.22642100881668169062876172797962 absolute error = 5.7708454582314540281474e-10 relative error = 2.5487235054287830394918205824666e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.137 y[1] (analytic) = 0.22663149368868069060973065388832 y[1] (numeric) = 0.22663149426644485831220709615565 absolute error = 5.7776416770247644226733e-10 relative error = 2.5493551593325327055438029903688e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.138 y[1] (analytic) = 0.22684207477044068303536002996881 y[1] (numeric) = 0.22684207534888476067667474985071 absolute error = 5.7844407764131471988190e-10 relative error = 2.5499858358582186599686994083575e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.139 y[1] (analytic) = 0.22705275148096753417804518370374 y[1] (numeric) = 0.22705275206009180977599305676453 absolute error = 5.7912427559794787306079e-10 relative error = 2.5506155367885615607246461194647e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1049.0MB, alloc=4.6MB, time=104.03 x[1] = 0.14 y[1] (analytic) = 0.22726352381635014695567877786024 y[1] (numeric) = 0.22726352439615490848632455597105 absolute error = 5.7980476153064577811081e-10 relative error = 2.5512442639021183718712445431232e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.141 y[1] (analytic) = 0.22747439177267591551805794317451 y[1] (numeric) = 0.22747439235316145091571849705903 absolute error = 5.8048553539766055388452e-10 relative error = 2.5518720189732940326430639982221e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.142 y[1] (analytic) = 0.22768535534603072565654291962945 y[1] (numeric) = 0.22768535592719732281376948505439 absolute error = 5.8116659715722656542494e-10 relative error = 2.5524988037723530884019084533782e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.143 y[1] (analytic) = 0.2278964145324989552138217034673 y[1] (numeric) = 0.22789641511434690198138213108155 absolute error = 5.8184794676756042761425e-10 relative error = 2.5531246200654312836125730105841e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1052.8MB, alloc=4.6MB, time=104.40 x[1] = 0.144 y[1] (analytic) = 0.22810756932816347449378059988876 y[1] (numeric) = 0.2281075699106930586806416087149 absolute error = 5.8252958418686100882614e-10 relative error = 2.5537494696145471169822551222864e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.145 y[1] (analytic) = 0.22831881972910564667148058138408 y[1] (numeric) = 0.22831882031231715604479001596583 absolute error = 5.8321150937330943458175e-10 relative error = 2.5543733541776133589044287596923e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.146 y[1] (analytic) = 0.22853016573140532820323935163546 y[1] (numeric) = 0.22853016631529905048830844284502 absolute error = 5.8389372228506909120956e-10 relative error = 2.5549962755084485313492380696966e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.147 y[1] (analytic) = 0.22874160733114086923681901492512 y[1] (numeric) = 0.22874160791571709211710464443399 absolute error = 5.8457622288028562950887e-10 relative error = 2.5556182353567883503387190402920e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1056.7MB, alloc=4.6MB, time=104.76 x[1] = 0.148 y[1] (analytic) = 0.22895314452438911402171925097706 y[1] (numeric) = 0.22895314510964812513880621939408 absolute error = 5.8525901111708696841702e-10 relative error = 2.5562392354682971311468109422277e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.149 y[1] (analytic) = 0.22916477730722540131957589515512 y[1] (numeric) = 0.22916477789316748827315919383563 absolute error = 5.8594208695358329868051e-10 relative error = 2.5568592775845791563635748649549e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.15 y[1] (analytic) = 0.22937650567572356481466482393475 y[1] (numeric) = 0.22937650626234901516253191046437 absolute error = 5.8662545034786708652962e-10 relative error = 2.5574783634431900069600095977416e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.151 y[1] (analytic) = 0.22958832962595593352451104555957 y[1] (numeric) = 0.22958833021326503478252412291648 absolute error = 5.8730910125801307735691e-10 relative error = 2.5580964947776478564926875761423e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1060.5MB, alloc=4.6MB, time=105.12 x[1] = 0.152 y[1] (analytic) = 0.22980024915399333221060289578906 y[1] (numeric) = 0.22980024974198637185268119518841 absolute error = 5.8799303964207829939935e-10 relative error = 2.5587136733174447285841047257689e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.153 y[1] (analytic) = 0.23001226425590508178921123863745 y[1] (numeric) = 0.23001226484458234724731330606192 absolute error = 5.8867726545810206742447e-10 relative error = 2.5593299007880577178168560821026e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.154 y[1] (analytic) = 0.2302243749277589997423135719997 y[1] (numeric) = 0.23022437551712077840641955841953 absolute error = 5.8936177866410598641983e-10 relative error = 2.5599451789109601741744322379969e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.155 y[1] (analytic) = 0.23043658116562140052862293805344 y[1] (numeric) = 0.23043658175566797974671689333997 absolute error = 5.9004657921809395528653e-10 relative error = 2.5605595094036328511670491725535e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.156 y[1] (analytic) = 0.23064888296555709599472153832183 y[1] (numeric) = 0.23064888355628876307277370885822 absolute error = 5.9073166707805217053639e-10 relative error = 2.5611728939795750177756106162026e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1064.3MB, alloc=4.6MB, time=105.49 x[1] = 0.157 y[1] (analytic) = 0.2308612803236293957862989532762 y[1] (numeric) = 0.23086128091504643798824808326901 absolute error = 5.9141704220194912999281e-10 relative error = 2.5617853343483155343479980594124e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.158 y[1] (analytic) = 0.23107377323590010775949486635226 y[1] (numeric) = 0.23107377382800281230723050284778 absolute error = 5.9210270454773563649552e-10 relative error = 2.5623968322154238925821893991604e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.159 y[1] (analytic) = 0.2312863616984295383923461922488 y[1] (numeric) = 0.2312863622912181924656909938576 absolute error = 5.9278865407334480160880e-10 relative error = 2.5630073892825212197274199110256e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.16 y[1] (analytic) = 0.23149904570727649319633850937181 y[1] (numeric) = 0.23149904630075138393303055870558 absolute error = 5.9347489073669204933377e-10 relative error = 2.5636170072472912471384645287464e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1068.1MB, alloc=4.6MB, time=105.85 x[1] = 0.161 y[1] (analytic) = 0.23171182525849827712806169628279 y[1] (numeric) = 0.23171182585265969162373681610701 absolute error = 5.9416141449567511982422e-10 relative error = 2.5642256878034912433126730057349e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.162 y[1] (analytic) = 0.23192470034815069500096967200426 y[1] (numeric) = 0.23192470094299892030914374511046 absolute error = 5.9484822530817407310620e-10 relative error = 2.5648334326409629115420911602006e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.163 y[1] (analytic) = 0.2321376709722880518972441400306 y[1] (numeric) = 0.23213767156782337502929543283204 absolute error = 5.9553532313205129280144e-10 relative error = 2.5654402434456432523118017542701e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.164 y[1] (analytic) = 0.23235073712696315357976223588746 y[1] (numeric) = 0.23235073772318586150491372574195 absolute error = 5.9622270792515148985449e-10 relative error = 2.5660461218995753905742976921508e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1071.9MB, alloc=4.6MB, time=106.22 x[1] = 0.165 y[1] (analytic) = 0.23256389880822730690416797807806 y[1] (numeric) = 0.23256389940513768654946968434153 absolute error = 5.9691037964530170626347e-10 relative error = 2.5666510696809193680291622540197e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.166 y[1] (analytic) = 0.23277715601213032023104742224921 y[1] (numeric) = 0.23277715660972865848135874106406 absolute error = 5.9759833825031131881485e-10 relative error = 2.5672550884639629005390724470513e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.167 y[1] (analytic) = 0.23299050873472050383820741840602 y[1] (numeric) = 0.23299050933300708753617946122773 absolute error = 5.9828658369797204282171e-10 relative error = 2.5678581799191321008084285894934e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.168 y[1] (analytic) = 0.23320395697204467033305787099843 y[1] (numeric) = 0.23320395757101978627911580686428 absolute error = 5.9897511594605793586585e-10 relative error = 2.5684603457130021664543416232293e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1075.7MB, alloc=4.6MB, time=106.58 x[1] = 0.169 y[1] (analytic) = 0.23341750072014813506509740169837 y[1] (numeric) = 0.2334175013198120700174228032421 absolute error = 5.9966393495232540154373e-10 relative error = 2.5690615875083080335974956395702e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.17 y[1] (analytic) = 0.23363113997507471653850231468181 y[1] (numeric) = 0.23363114057542775721301550789777 absolute error = 6.0035304067451319321596e-10 relative error = 2.5696619069639549960987617968701e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.171 y[1] (analytic) = 0.23384487473286673682481876422443 y[1] (numeric) = 0.23384487533390916989516118198529 absolute error = 6.0104243307034241776086e-10 relative error = 2.5702613057350292905703430087806e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.172 y[1] (analytic) = 0.23405870498956502197575802441626 y[1] (numeric) = 0.23405870559129713407327456374763 absolute error = 6.0173211209751653933137e-10 relative error = 2.5708597854728086472843904608516e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1079.5MB, alloc=4.6MB, time=106.95 x[1] = 0.173 y[1] (analytic) = 0.23427263074120890243609476079445 y[1] (numeric) = 0.23427263134363098014981614391054 absolute error = 6.0242207771372138311609e-10 relative error = 2.5714573478247728071079365193078e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.174 y[1] (analytic) = 0.23448665198383621345666820369019 y[1] (numeric) = 0.23448665258694854333329334279399 absolute error = 6.0311232987662513910380e-10 relative error = 2.5720539944346140045863463851440e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.175 y[1] (analytic) = 0.23470076871348329550748612308016 y[1] (numeric) = 0.23470076931728616405136448893209 absolute error = 6.0380286854387836585193e-10 relative error = 2.5726497269422474173017661451757e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.176 y[1] (analytic) = 0.23491498092618499469093150472918 y[1] (numeric) = 0.2349149815306786883640454989878 absolute error = 6.0449369367311399425862e-10 relative error = 2.5732445469838215816289823809371e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1083.4MB, alloc=4.6MB, time=107.32 x[1] = 0.177 y[1] (analytic) = 0.23512928861797466315507182740556 y[1] (numeric) = 0.23512928922315946837701915874425 absolute error = 6.0518480522194733133869e-10 relative error = 2.5738384561917287750134994413170e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.178 y[1] (analytic) = 0.23534369178488415950707084094687 y[1] (numeric) = 0.23534369239076036265504690495011 absolute error = 6.0587620314797606400324e-10 relative error = 2.5744314561946153648935711454630e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.179 y[1] (analytic) = 0.23555819042294384922670274494898 y[1] (numeric) = 0.23555819102951173663548300779204 absolute error = 6.0656788740878026284306e-10 relative error = 2.5750235486173921243893775877147e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.18 y[1] (analytic) = 0.23577278452818260507996866784708 y[1] (numeric) = 0.23577278513544246304189105376294 absolute error = 6.0725985796192238591586e-10 relative error = 2.5756147350812445148813058348426e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1087.2MB, alloc=4.6MB, time=107.68 x[1] = 0.181 y[1] (analytic) = 0.23598747409662780753281534615324 y[1] (numeric) = 0.23598747470457992229776262869035 absolute error = 6.0795211476494728253711e-10 relative error = 2.5762050172036429355978578029064e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.182 y[1] (analytic) = 0.23620225912430534516495590361041 y[1] (numeric) = 0.23620225973295000294033810068518 absolute error = 6.0864465777538219707477e-10 relative error = 2.5767943965983529403352889322313e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.183 y[1] (analytic) = 0.23641713960723961508379263001887 y[1] (numeric) = 0.23641714021657710203452940276666 absolute error = 6.0933748695073677274779e-10 relative error = 2.5773828748754454214288823607099e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.184 y[1] (analytic) = 0.23663211554145352333844165948697 y[1] (numeric) = 0.23663211615148412558694471491521 absolute error = 6.1003060224850305542824e-10 relative error = 2.5779704536413067610951864139090e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.185 memory used=1091.0MB, alloc=4.6MB, time=108.05 y[1] (analytic) = 0.23684718692296848533385944785367 y[1] (numeric) = 0.23684718753369248896001494530094 absolute error = 6.1072400362615549744727e-10 relative error = 2.5785571344986489502654892536649e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.186 y[1] (analytic) = 0.23706235374780442624507094902619 y[1] (numeric) = 0.23706235435922211728622191043116 absolute error = 6.1141769104115096140497e-10 relative error = 2.5791429190465196750297584546111e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.187 y[1] (analytic) = 0.23727761601197978143149938997278 y[1] (numeric) = 0.23727761662409144588242811395647 absolute error = 6.1211166445092872398369e-10 relative error = 2.5797278088803123708076324686205e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.188 y[1] (analytic) = 0.23749297371151149685139754410531 y[1] (numeric) = 0.23749297432431742066430802387077 absolute error = 6.1280592381291047976546e-10 relative error = 2.5803118055917762443671248528533e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.189 y[1] (analytic) = 0.23770842684241502947638040278387 y[1] (numeric) = 0.23770842745591549856088074783676 absolute error = 6.1350046908450034505289e-10 relative error = 2.5808949107690262638058971058064e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1094.8MB, alloc=4.6MB, time=108.41 x[1] = 0.19 y[1] (analytic) = 0.23792397540070434770605914467038 y[1] (numeric) = 0.23792397601489964792914400636438 absolute error = 6.1419530022308486169400e-10 relative error = 2.5814771259965531166139895216071e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.191 y[1] (analytic) = 0.23813961938239193178277630265507 y[1] (numeric) = 0.23813961999728234896880930356597 absolute error = 6.1489041718603300091090e-10 relative error = 2.5820584528552331359341797247507e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.192 y[1] (analytic) = 0.23835535878348877420644202807594 y[1] (numeric) = 0.23835535939907459413713819520781 absolute error = 6.1558581993069616713187e-10 relative error = 2.5826388929223381951341104714680e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.193 y[1] (analytic) = 0.23857119360000438014947135194652 y[1] (numeric) = 0.23857119421628588856387955377418 absolute error = 6.1628150841440820182766e-10 relative error = 2.5832184477715455708091892904408e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1098.6MB, alloc=4.6MB, time=108.78 x[1] = 0.194 y[1] (analytic) = 0.23878712382794676787182234290494 y[1] (numeric) = 0.23878712444492425046630773025612 absolute error = 6.1697748259448538735118e-10 relative error = 2.5837971189729477743278538178601e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.195 y[1] (analytic) = 0.23900314946332246913613506159208 y[1] (numeric) = 0.23900315008099621156436151237339 absolute error = 6.1767374242822645078131e-10 relative error = 2.5843749080930623520368772714081e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.196 y[1] (analytic) = 0.23921927050213652962297121116445 y[1] (numeric) = 0.23921927112050681749588377893456 absolute error = 6.1837028787291256777011e-10 relative error = 2.5849518166948416542378354197313e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.197 y[1] (analytic) = 0.23943548694039250934615438364219 y[1] (numeric) = 0.23943548755945962823196175003631 absolute error = 6.1906711888580736639412e-10 relative error = 2.5855278463376825730512996133078e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1102.4MB, alloc=4.6MB, time=109.15 x[1] = 0.198 y[1] (analytic) = 0.23965179877409248306821080179047 y[1] (numeric) = 0.23965179939385671849236773279966 absolute error = 6.1976423542415693100919e-10 relative error = 2.5861029985774362492796183693778e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.199 y[1] (analytic) = 0.23986820599923704071591045622782 y[1] (numeric) = 0.23986820661969867816110026233708 absolute error = 6.2046163744518980610926e-10 relative error = 2.5866772749664177483827892974276e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.2 y[1] (analytic) = 0.24008470861182528779590853745225 y[1] (numeric) = 0.24008470923298461270202553764105 absolute error = 6.2115932490611700018880e-10 relative error = 2.5872506770534157056784921059904e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.201 y[1] (analytic) = 0.24030130660785484581048706247211 y[1] (numeric) = 0.24030130722971214357461905208117 absolute error = 6.2185729776413198960906e-10 relative error = 2.5878232063837019408787342065543e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1106.2MB, alloc=4.6MB, time=109.51 x[1] = 0.202 y[1] (analytic) = 0.24051799998332185267339659572521 y[1] (numeric) = 0.24051800060587740864980731819333 absolute error = 6.2255555597641072246812e-10 relative error = 2.5883948644990410420744337729880e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.203 y[1] (analytic) = 0.24073478873422096312579796396668 y[1] (numeric) = 0.24073478935747506262590958644128 absolute error = 6.2325409950011162247460e-10 relative error = 2.5889656529376999192782705686195e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.204 y[1] (analytic) = 0.24095167285654534915230386480209 y[1] (numeric) = 0.24095167348049827744467945762742 absolute error = 6.2395292829237559282533e-10 relative error = 2.5895355732344573276375123623422e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.205 y[1] (analytic) = 0.24116865234628670039712026853976 y[1] (numeric) = 0.24116865297093874270744628862637 absolute error = 6.2465204231032602008661e-10 relative error = 2.5901046269206133604252869168652e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1110.1MB, alloc=4.6MB, time=109.88 x[1] = 0.206 y[1] (analytic) = 0.24138572719943522458028751303225 y[1] (numeric) = 0.24138572782478666609135629111166 absolute error = 6.2535144151106877807941e-10 relative error = 2.5906728155239989119213146949013e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.207 y[1] (analytic) = 0.24160289741197964791402099117441 y[1] (numeric) = 0.24160289803803077376571322294258 absolute error = 6.2605112585169223176817e-10 relative error = 2.5912401405689851102898044035489e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.208 y[1] (analytic) = 0.24182016297990721551915133072155 y[1] (numeric) = 0.24182016360665831080841857187508 absolute error = 6.2675109528926724115353e-10 relative error = 2.5918066035764927205645496652350e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.209 y[1] (analytic) = 0.24203752389920369184166396608869 y[1] (numeric) = 0.24203752452665504162251113125747 absolute error = 6.2745134978084716516878e-10 relative error = 2.5923722060640015178485816035518e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1113.9MB, alloc=4.6MB, time=110.25 x[1] = 0.21 y[1] (analytic) = 0.24225498016585336106933800178854 y[1] (numeric) = 0.24225498079400525035280586736853 absolute error = 6.2815188928346786557999e-10 relative error = 2.5929369495455596308359995148697e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.211 y[1] (analytic) = 0.24247253177583902754848426716245 y[1] (numeric) = 0.24247253240469174130263197805263 absolute error = 6.2885271375414771089018e-10 relative error = 2.5935008355317928557648140277631e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.212 y[1] (analytic) = 0.24269017872514201620078246205647 y[1] (numeric) = 0.24269017935469583935067004230343 absolute error = 6.2955382314988758024696e-10 relative error = 2.5940638655299139409053578053438e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.213 y[1] (analytic) = 0.24290792100974217294021729309055 y[1] (numeric) = 0.24290792163999739036788816044461 absolute error = 6.3025521742767086735406e-10 relative error = 2.5946260410437318416924766812523e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1117.7MB, alloc=4.6MB, time=110.61 x[1] = 0.214 y[1] (analytic) = 0.24312575862561786509011350016656 y[1] (numeric) = 0.24312575925657476163457698455345 absolute error = 6.3095689654446348438689e-10 relative error = 2.5951873635736609466081173160990e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.215 y[1] (analytic) = 0.24334369156874598180026967285842 y[1] (numeric) = 0.24334369220040484225748353876981 absolute error = 6.3165886045721386591139e-10 relative error = 2.5957478346167302739168763200730e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.216 y[1] (analytic) = 0.24356171983510193446419075632339 y[1] (numeric) = 0.24356172046746304358704372913047 absolute error = 6.3236110912285297280708e-10 relative error = 2.5963074556665926393634432600777e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.217 y[1] (analytic) = 0.24377984342065965713641914637215 y[1] (numeric) = 0.2437798440537232996347134425659 absolute error = 6.3306364249829429619375e-10 relative error = 2.5968662282135337949343862567400e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1121.5MB, alloc=4.6MB, time=110.97 x[1] = 0.218 y[1] (analytic) = 0.24399806232139160694996427333183 y[1] (numeric) = 0.24399806295515806749039813469369 absolute error = 6.3376646054043386136186e-10 relative error = 2.5974241537444815387889024129416e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.219 y[1] (analytic) = 0.24421637653326876453383057433338 y[1] (numeric) = 0.24421637716773832773998080604018 absolute error = 6.3446956320615023170680e-10 relative error = 2.5979812337430147964630577915875e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.22 y[1] (analytic) = 0.24443478605226063443064375365226 y[1] (numeric) = 0.24443478668743358488294826631922 absolute error = 6.3517295045230451266696e-10 relative error = 2.5985374696893726734507979198595e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.221 y[1] (analytic) = 0.24465329087433524551437523072863 y[1] (numeric) = 0.24465329151021186775011558639413 absolute error = 6.3587662223574035566550e-10 relative error = 2.5990928630604634792643467942818e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.222 y[1] (analytic) = 0.24487189099545915140816467549062 y[1] (numeric) = 0.24487189163203972992144863754658 absolute error = 6.3658057851328396205596e-10 relative error = 2.5996474153298737230772191737492e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1125.3MB, alloc=4.6MB, time=111.34 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.223 y[1] (analytic) = 0.24509058641159743090224053060164 y[1] (numeric) = 0.2450905870488822501439846176733 absolute error = 6.3728481924174408707166e-10 relative error = 2.6002011279678770810518761643274e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.224 y[1] (analytic) = 0.24530937711871368837193842025026 y[1] (numeric) = 0.24530937775670303274985046402917 absolute error = 6.3798934437791204377891e-10 relative error = 2.6007540024414433354539273175751e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.225 y[1] (analytic) = 0.24552826311277005419581734509878 y[1] (numeric) = 0.24552826375146420807437905213261 absolute error = 6.3869415387856170703383e-10 relative error = 2.6013060402142472856534741152929e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.226 y[1] (analytic) = 0.24574724438972718517387356300376 y[1] (numeric) = 0.24574724502912643287432308044694 absolute error = 6.3939924770044951744318e-10 relative error = 2.6018572427466776311162271650912e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1129.1MB, alloc=4.6MB, time=111.70 x[1] = 0.227 y[1] (analytic) = 0.24596632094554426494585205511974 y[1] (numeric) = 0.2459663215856488907461665404487 absolute error = 6.4010462580031448532896e-10 relative error = 2.6024076114958458264840077753211e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.228 y[1] (analytic) = 0.24618549277617900440965547699527 y[1] (numeric) = 0.24618549341698929254453367169182 absolute error = 6.4081028813487819469655e-10 relative error = 2.6029571479155949088438859571728e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.229 y[1] (analytic) = 0.24640475987758764213985049426708 y[1] (numeric) = 0.24640476051910387680069530147404 absolute error = 6.4151623466084480720696e-10 relative error = 2.6035058534565082972880558422835e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.23 y[1] (analytic) = 0.24662412224572494480627140255704 y[1] (numeric) = 0.24662412288794741014117246870974 absolute error = 6.4222246533490106615270e-10 relative error = 2.6040537295659185648618323858433e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1133.0MB, alloc=4.6MB, time=112.07 x[1] = 0.231 y[1] (analytic) = 0.2468435798765442075927209311737 y[1] (numeric) = 0.24684358051947318770643723161109 absolute error = 6.4292898011371630043739e-10 relative error = 2.6046007776879161829992378193623e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.232 y[1] (analytic) = 0.24706313276599725461576813021796 y[1] (numeric) = 0.24706313340963303356971055877728 absolute error = 6.4363577895394242855932e-10 relative error = 2.6051469992633582385456081313519e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.233 y[1] (analytic) = 0.24728278091003443934364324069073 y[1] (numeric) = 0.24728278155437730115585720328933 absolute error = 6.4434286181221396259860e-10 relative error = 2.6056923957298771234639415542714e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.234 y[1] (analytic) = 0.24750252430460464501522944719758 y[1] (numeric) = 0.24750252494965487366037745940594 absolute error = 6.4505022864514801220836e-10 relative error = 2.6062369685218891973246390732690e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1136.8MB, alloc=4.6MB, time=112.43 x[1] = 0.235 y[1] (analytic) = 0.24772236294565528505915141284425 y[1] (numeric) = 0.24772236359141316446849570145374 absolute error = 6.4575787940934428860949e-10 relative error = 2.6067807190706034226739644227238e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.236 y[1] (analytic) = 0.24794229682913230351296049591395 y[1] (numeric) = 0.24794229747559811757434560450322 absolute error = 6.4646581406138510858927e-10 relative error = 2.6073236488040299733796423365863e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.237 y[1] (analytic) = 0.24816232595098017544241654791582 y[1] (numeric) = 0.24816232659815420800025194641968 absolute error = 6.4717403255783539850386e-10 relative error = 2.6078657591469888160500823741072e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.238 y[1] (analytic) = 0.248382450307141907360866192592 y[1] (numeric) = 0.24838245095502444221610889087654 absolute error = 6.4788253485524269828454e-10 relative error = 2.6084070515211182646230060296877e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1140.6MB, alloc=4.6MB, time=112.80 x[1] = 0.239 y[1] (analytic) = 0.24860266989355903764871748546889 y[1] (numeric) = 0.24860267054215035855885465091644 absolute error = 6.4859132091013716544755e-10 relative error = 2.6089475273448835082187104188308e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.24 y[1] (analytic) = 0.24882298470617163697301085353562 y[1] (numeric) = 0.24882298535547202765204243264374 absolute error = 6.4930039067903157910812e-10 relative error = 2.6094871880335851123557951629727e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.241 y[1] (analytic) = 0.24904339474091830870708621463208 y[1] (numeric) = 0.24904339539092805282550755863004 absolute error = 6.5000974411842134399796e-10 relative error = 2.6100260349993674936214787788224e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.242 y[1] (analytic) = 0.24926389999373618935034617612609 y[1] (numeric) = 0.24926390064445557053513067061276 absolute error = 6.5071938118478449448667e-10 relative error = 2.6105640696512273678930442186616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1144.4MB, alloc=4.6MB, time=113.16 x[1] = 0.243 y[1] (analytic) = 0.24948450046056094894811521245796 y[1] (numeric) = 0.24948450111199025078269691106488 absolute error = 6.5142930183458169860692e-10 relative error = 2.6111012933950221722041152550647e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.244 y[1] (analytic) = 0.24970519613732679151159472112891 y[1] (numeric) = 0.24970519678946629753585098321234 absolute error = 6.5213950602425626208343e-10 relative error = 2.6116377076334784603498124009644e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.245 y[1] (analytic) = 0.24992598701996645543791385670801 y[1] (numeric) = 0.24992598767281644914814798907386 absolute error = 6.5284999371023413236585e-10 relative error = 2.6121733137662002723247398499642e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.246 y[1] (analytic) = 0.25014687310441121393027604243113 y[1] (numeric) = 0.25014687375797197877919994509633 absolute error = 6.5356076484892390266520e-10 relative error = 2.6127081131896774776856183683346e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1148.2MB, alloc=4.6MB, time=113.53 x[1] = 0.247 y[1] (analytic) = 0.250367854386590875418201058963 y[1] (numeric) = 0.25036785504086269481491787495737 absolute error = 6.5427181939671681599437e-10 relative error = 2.6132421072972940929333706510187e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.248 y[1] (analytic) = 0.25058893086243378397786260989285 y[1] (numeric) = 0.250588931517416941287849379105 absolute error = 6.5498315730998676921215e-10 relative error = 2.6137752974793365730049697763842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.249 y[1] (analytic) = 0.25081010252786681975252126353162 y[1] (numeric) = 0.25081010318356159829761158060303 absolute error = 6.5569477854509031707141e-10 relative error = 2.6143076851230020769695917089914e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.25 y[1] (analytic) = 0.25103136937881539937305267057837 y[1] (numeric) = 0.25103137003522208243141934684904 absolute error = 6.5640668305836667627067e-10 relative error = 2.6148392716124067080177298724120e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1152.0MB, alloc=4.6MB, time=113.89 x[1] = 0.251 y[1] (analytic) = 0.25125273141120347637857095722094 y[1] (numeric) = 0.25125273206832234718470868673073 absolute error = 6.5711887080613772950979e-10 relative error = 2.6153700583285937278375149779087e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.252 y[1] (analytic) = 0.25147418862095354163714719323537 y[1] (numeric) = 0.2514741892787848833818552227847 absolute error = 6.5783134174470802954933e-10 relative error = 2.6159000466495417454674055637776e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.253 y[1] (analytic) = 0.25169574100398662376662283464688 y[1] (numeric) = 0.25169574166253071959698763792057 absolute error = 6.5854409583036480327369e-10 relative error = 2.6164292379501728807162889931039e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.254 y[1] (analytic) = 0.251917388556222289555518040514 y[1] (numeric) = 0.25191738921547942257489599627206 absolute error = 6.5925713301937795575806e-10 relative error = 2.6169576336023609022413503526175e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.255 y[1] (analytic) = 0.25213913127357864438403476339594 y[1] (numeric) = 0.25213913193354909765203483773521 absolute error = 6.5997045326800007433927e-10 relative error = 2.6174852349749393403739437746070e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1155.8MB, alloc=4.6MB, time=114.27 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.256 y[1] (analytic) = 0.25236096915197233264515451306261 y[1] (numeric) = 0.25236096981265638917762094575286 absolute error = 6.6068405653246643269025e-10 relative error = 2.6180120434337095747818339667104e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.257 y[1] (analytic) = 0.25258290218731853816583069300469 y[1] (numeric) = 0.25258290284871648093482568790327 absolute error = 6.6139794276899499489858e-10 relative error = 2.6185380603414488970588754681251e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.258 y[1] (analytic) = 0.25280493037553098462827540930108 y[1] (numeric) = 0.25280493103764309656206182884956 absolute error = 6.6211211193378641954848e-10 relative error = 2.6190632870579185483283586435306e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.259 y[1] (analytic) = 0.25302705371252193599134065139877 y[1] (numeric) = 0.25302705437534849997436471520563 absolute error = 6.6282656398302406380686e-10 relative error = 2.6195877249398717319509350380032e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1159.7MB, alloc=4.6MB, time=114.64 x[1] = 0.26 y[1] (analytic) = 0.25324927219420219691199374435993 y[1] (numeric) = 0.2532492728577434957848677318731 absolute error = 6.6354129887287398751317e-10 relative error = 2.6201113753410616014241904876821e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.261 y[1] (analytic) = 0.25347158581648111316688697212989 y[1] (numeric) = 0.25347158648073742972637192940282 absolute error = 6.6425631655948495727293e-10 relative error = 2.6206342396122492235611433613145e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.262 y[1] (analytic) = 0.25369399457526657207402127137841 y[1] (numeric) = 0.25369399524023818907300972193346 absolute error = 6.6497161699898845055505e-10 relative error = 2.6211563191012115170355061946269e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.263 y[1] (analytic) = 0.25391649846646500291450389546569 y[1] (numeric) = 0.25391649913215220306200255525886 absolute error = 6.6568720014749865979317e-10 relative error = 2.6216776151527491663816710251174e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1163.5MB, alloc=4.6MB, time=115.01 x[1] = 0.264 y[1] (analytic) = 0.25413909748598137735439994808415 y[1] (numeric) = 0.2541390981523844433155124445747 absolute error = 6.6640306596111249649055e-10 relative error = 2.6221981291086945115342720281632e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.265 y[1] (analytic) = 0.25436179162971920986667768612564 y[1] (numeric) = 0.25436179229683842426258728145453 absolute error = 6.6711921439590959532889e-10 relative error = 2.6227178623079194129951892992746e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.266 y[1] (analytic) = 0.25458458089358055815324749132293 y[1] (numeric) = 0.25458458156141620356119980960397 absolute error = 6.6783564540795231828104e-10 relative error = 2.6232368160863430927138544754837e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.267 y[1] (analytic) = 0.25480746527346602356709441021423 y[1] (numeric) = 0.25480746594201838252038016894145 absolute error = 6.6855235895328575872722e-10 relative error = 2.6237549917769399507650442617373e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1167.3MB, alloc=4.6MB, time=115.37 x[1] = 0.268 y[1] (analytic) = 0.25503044476527475153450416197749 y[1] (numeric) = 0.25503044543454410652244190755295 absolute error = 6.6926935498793774557546e-10 relative error = 2.6242723907097473579122924728304e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.269 y[1] (analytic) = 0.25525351936490443197738251368199 y[1] (numeric) = 0.2552535200348910654453013610675 absolute error = 6.6998663346791884738551e-10 relative error = 2.6247890142118734241389734968758e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.27 y[1] (analytic) = 0.25547668906825129973566792250295 y[1] (numeric) = 0.2554766897389554940848902989996 absolute error = 6.7070419434922237649665e-10 relative error = 2.6253048636075047432334125802712e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.271 y[1] (analytic) = 0.25569995387121013498983734444466 y[1] (numeric) = 0.25569995454263217257766173760405 absolute error = 6.7142203758782439315939e-10 relative error = 2.6258199402179141135123103419237e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1171.1MB, alloc=4.6MB, time=115.73 x[1] = 0.272 y[1] (analytic) = 0.25592331376967426368350510911723 y[1] (numeric) = 0.25592331444181442682318881878816 absolute error = 6.7214016313968370967093e-10 relative error = 2.6263342453614682347659663692088e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.273 y[1] (analytic) = 0.25614676875953555794611476011124 y[1] (numeric) = 0.25614676943239412890685665462567 absolute error = 6.7285857096074189451443e-10 relative error = 2.6268477803536353815091605449127e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.274 y[1] (analytic) = 0.2563703188366844365157237605143 y[1] (numeric) = 0.25637031951026169752264703701631 absolute error = 6.7357726100692327650201e-10 relative error = 2.6273605465069930526207112885846e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.275 y[1] (analytic) = 0.25659396399700986516188096311274 y[1] (numeric) = 0.2565939646713060983960159120344 absolute error = 6.7429623323413494892166e-10 relative error = 2.6278725451312355974554157813698e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1174.9MB, alloc=4.6MB, time=116.10 x[1] = 0.276 y[1] (analytic) = 0.25681770423639935710859674482159 y[1] (numeric) = 0.25681770491141484470686351850956 absolute error = 6.7501548759826677368797e-10 relative error = 2.6283837775331818185106928981734e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.277 y[1] (analytic) = 0.25704153955073897345740570488548 y[1] (numeric) = 0.25704154022647399751259709038207 absolute error = 6.7573502405519138549659e-10 relative error = 2.6288942450167825507299253488962e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.278 y[1] (analytic) = 0.25726546993591332361052182639277 y[1] (numeric) = 0.25726547061236816617128602237526 absolute error = 6.7645484256076419598249e-10 relative error = 2.6294039488831282175247966531599e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.279 y[1] (analytic) = 0.25748949538780556569408600064461 y[1] (numeric) = 0.25748949606498050876490939852689 absolute error = 6.7717494307082339788228e-10 relative error = 2.6299128904304563635993307476250e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1178.7MB, alloc=4.6MB, time=116.46 x[1] = 0.28 y[1] (analytic) = 0.25771361590229740698150581392141 y[1] (numeric) = 0.25771361658019273252269578312121 absolute error = 6.7789532554118996919980e-10 relative error = 2.6304210709541591646539383129554e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.281 y[1] (analytic) = 0.25793783147526910431688749618707 y[1] (numeric) = 0.25793783215388509424455517356329 absolute error = 6.7861598992766767737622e-10 relative error = 2.6309284917467909140553443864724e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.282 y[1] (analytic) = 0.25816214210259946453855993127365 y[1] (numeric) = 0.25816214278193640072460301473696 absolute error = 6.7933693618604308346331e-10 relative error = 2.6314351540980754865479250474553e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.283 y[1] (analytic) = 0.25838654778016584490269062808648 y[1] (numeric) = 0.25838654846022400917477617438746 absolute error = 6.8005816427208554630098e-10 relative error = 2.6319410592949137790911421511686e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1182.5MB, alloc=4.6MB, time=116.82 x[1] = 0.284 y[1] (analytic) = 0.25861104850384415350699355237165 y[1] (numeric) = 0.25861104918462382764854077907005 absolute error = 6.8077967414154722669840e-10 relative error = 2.6324462086213911289004970670904e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.285 y[1] (analytic) = 0.25883564426950884971452871858656 y[1] (numeric) = 0.2588356449510103154646918102055 absolute error = 6.8150146575016309161894e-10 relative error = 2.6329506033587847087727205700472e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.286 y[1] (analytic) = 0.25906033507303294457759344141449 y[1] (numeric) = 0.25906033575525648363124435978359 absolute error = 6.8222353905365091836910e-10 relative error = 2.6334542447855708997753253442500e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.287 y[1] (analytic) = 0.25928512091028800126170514646455 y[1] (numeric) = 0.25928512159323389526941644525556 absolute error = 6.8294589400771129879101e-10 relative error = 2.6339571341774326413780548763715e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.288 y[1] (analytic) = 0.25951000177714413546967563969788 y[1] (numeric) = 0.25951000246081266603770328315676 absolute error = 6.8366853056802764345888e-10 relative error = 2.6344592728072667591065452177549e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1186.4MB, alloc=4.6MB, time=117.19 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.289 y[1] (analytic) = 0.2597349776694700158657767351213 y[1] (numeric) = 0.2597349783538614645560429210006 absolute error = 6.8439144869026618587930e-10 relative error = 2.6349606619451912697963479610973e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.29 y[1] (analytic) = 0.25996004858313286449999714028998 y[1] (numeric) = 0.25996004926824751283007312698522 absolute error = 6.8511464833007598669524e-10 relative error = 2.6354613028585526645249645555787e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.291 y[1] (analytic) = 0.2601852145139984572323904991604 y[1] (numeric) = 0.2601852151998365866754794370544 absolute error = 6.8583812944308893789400e-10 relative error = 2.6359611968119331693007762289586e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.292 y[1] (analytic) = 0.26041047545793112415751449183573 y[1] (numeric) = 0.26041047614449301614243425885453 absolute error = 6.8656189198491976701880e-10 relative error = 2.6364603450671579835852907898306e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1190.2MB, alloc=4.6MB, time=117.55 x[1] = 0.293 y[1] (analytic) = 0.26063583141079375002896089074523 y[1] (numeric) = 0.26063583209807968594012693212954 absolute error = 6.8728593591116604138431e-10 relative error = 2.6369587488833024967271717170729e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.294 y[1] (analytic) = 0.26086128236844777468397647280021 y[1] (numeric) = 0.2608612830564580358613846450963 absolute error = 6.8801026117740817229609e-10 relative error = 2.6374564095166994823849387037160e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.295 y[1] (analytic) = 0.26108682832675319346817468706945 y[1] (numeric) = 0.26108682901548806120738410634302 absolute error = 6.8873486773920941927357e-10 relative error = 2.6379533282209462710136254844737e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.296 y[1] (analytic) = 0.26131246928156855766033797751672 y[1] (numeric) = 0.26131246997102831321245387179375 absolute error = 6.8945975555211589427703e-10 relative error = 2.6384495062469119004935662665865e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1194.0MB, alloc=4.6MB, time=117.92 x[1] = 0.297 y[1] (analytic) = 0.26153820522875097489731066034407 y[1] (numeric) = 0.26153820591893589946896722628253 absolute error = 6.9018492457165656593846e-10 relative error = 2.6389449448427442449769529696823e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.298 y[1] (analytic) = 0.26176403616415610959898225548491 y[1] (numeric) = 0.261764036855066484352325519281 absolute error = 6.9091037475334326379609e-10 relative error = 2.6394396452538771220271668738842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.299 y[1] (analytic) = 0.2619899620836381833933611717913 y[1] (numeric) = 0.26198996277527428944603185432407 absolute error = 6.9163610605267068253277e-10 relative error = 2.6399336087230373781270857456510e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.3 y[1] (analytic) = 0.2622159829830499755417386454602 y[1] (numeric) = 0.26221598367541209396685503167849 absolute error = 6.9236211842511638621829e-10 relative error = 2.6404268364902519526319241379593e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1197.8MB, alloc=4.6MB, time=118.28 x[1] = 0.301 y[1] (analytic) = 0.26244209885824282336394283124477 y[1] (numeric) = 0.26244209955133123519008364380001 absolute error = 6.9308841182614081255524e-10 relative error = 2.6409193297928549202400010155761e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.302 y[1] (analytic) = 0.26266830970506662266368294599622 y[1] (numeric) = 0.26266831039888160887487022312526 absolute error = 6.9381498621118727712904e-10 relative error = 2.6414110898654945120584678386702e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.303 y[1] (analytic) = 0.26289461551936982815398336408364 y[1] (numeric) = 0.26289461621391166968966534174524 absolute error = 6.9454184153568197766160e-10 relative error = 2.6419021179401401153362716779185e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.304 y[1] (analytic) = 0.2631210162969994538827075642393 y[1] (numeric) = 0.26312101699226843163774156250794 absolute error = 6.9526897775503399826864e-10 relative error = 2.6423924152460892519385181271830e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1201.6MB, alloc=4.6MB, time=118.64 x[1] = 0.305 y[1] (analytic) = 0.26334751203380107365817182737714 y[1] (numeric) = 0.26334751272979746848280714109844 absolute error = 6.9599639482463531372130e-10 relative error = 2.6428819830099745356383872982743e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.306 y[1] (analytic) = 0.26357410272561882147484858493454 y[1] (numeric) = 0.26357410342234291417470937864552 absolute error = 6.9672409269986079371098e-10 relative error = 2.6433708224557706082960400717268e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.307 y[1] (analytic) = 0.26380078836829539193915931728627 y[1] (numeric) = 0.26380078906574746327522752440475 absolute error = 6.9745207133606820711848e-10 relative error = 2.6438589348048010550017672220086e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.308 y[1] (analytic) = 0.26402756895767204069535690178204 y[1] (numeric) = 0.26402756965585237138395512806876 absolute error = 6.9818033068859822628672e-10 relative error = 2.6443463212757452982535412078639e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1205.4MB, alloc=4.6MB, time=119.01 x[1] = 0.309 y[1] (analytic) = 0.26425444448958858485149730995908 y[1] (numeric) = 0.26425444518849745556427174125641 absolute error = 6.9890887071277443129733e-10 relative error = 2.6448329830846454712426872230942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.31 y[1] (analytic) = 0.26448141495988340340550055348237 y[1] (numeric) = 0.26448141565952109476940386773342 absolute error = 6.9963769136390331425105e-10 relative error = 2.6453189214449132703197763690960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.311 y[1] (analytic) = 0.26470848036439343767130077836611 y[1] (numeric) = 0.26470848106476023026857506191811 absolute error = 7.0036679259727428355200e-10 relative error = 2.6458041375673367867130170986584e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.312 y[1] (analytic) = 0.26493564069895419170508540703106 y[1] (numeric) = 0.26493564140005036607324507522681 absolute error = 7.0109617436815966819575e-10 relative error = 2.6462886326600873175706484536291e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1209.2MB, alloc=4.6MB, time=119.38 x[1] = 0.313 y[1] (analytic) = 0.26516289595939973273162322775351 y[1] (numeric) = 0.26516289666122556936343794981462 absolute error = 7.0182583663181472206111e-10 relative error = 2.6467724079287261563985235499564e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.314 y[1] (analytic) = 0.26539024614156269157068133106238 y[1] (numeric) = 0.26539024684411847091415895926831 absolute error = 7.0255577934347762820593e-10 relative error = 2.6472554645762113629651900344799e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.315 y[1] (analytic) = 0.26561769124127426306353079264269 y[1] (numeric) = 0.26561769194456026552190029580926 absolute error = 7.0328600245836950316657e-10 relative error = 2.6477378038029045127441181432553e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.316 y[1] (analytic) = 0.26584523125436420649954100230431 y[1] (numeric) = 0.26584523195838071243123540356554 absolute error = 7.0401650593169440126123e-10 relative error = 2.6482194268065774259644538467509e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1213.1MB, alloc=4.6MB, time=119.75 x[1] = 0.317 y[1] (analytic) = 0.26607286617666084604286253857622 y[1] (numeric) = 0.26607286688140813576150185747341 absolute error = 7.0474728971863931889719e-10 relative error = 2.6487003347824188763408691027622e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.318 y[1] (analytic) = 0.26630059600399107115919848848814 y[1] (numeric) = 0.26630059670946942493357268736984 absolute error = 7.0547835377437419888170e-10 relative error = 2.6491805289230412795516426586616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.319 y[1] (analytic) = 0.26652842073218033704266411210203 y[1] (numeric) = 0.2665284214383900350967160468389 absolute error = 7.0620969805405193473687e-10 relative error = 2.6496600104184873615361281955728e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.32 y[1] (analytic) = 0.26675634035705266504273475135797 y[1] (numeric) = 0.26675634106399398755554312637624 absolute error = 7.0694132251280837501827e-10 relative error = 2.6501387804562368066800875677664e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.321 y[1] (analytic) = 0.26698435487443064309128188279985 y[1] (numeric) = 0.26698435558210387019704421043722 absolute error = 7.0767322710576232763737e-10 relative error = 2.6506168402212128859586777813013e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1216.9MB, alloc=4.6MB, time=120.12 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.322 y[1] (analytic) = 0.26721246428013542612969721374787 y[1] (numeric) = 0.26721246498854083791771277793572 absolute error = 7.0840541178801556418785e-10 relative error = 2.6510941908957890651062342612056e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.323 y[1] (analytic) = 0.26744066856998673653610472148633 y[1] (numeric) = 0.26744066927912461305075754576203 absolute error = 7.0913787651465282427570e-10 relative error = 2.6515708336597955928813135192511e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.324 y[1] (analytic) = 0.26766896773980286455266053503672 y[1] (numeric) = 0.26766896844967348579340235488987 absolute error = 7.0987062124074181985315e-10 relative error = 2.6520467696905260694956424793199e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.325 y[1] (analytic) = 0.26789736178540066871294055908751 y[1] (numeric) = 0.26789736249600431463427379864393 absolute error = 7.1060364592133323955642e-10 relative error = 2.6525220001627439952751689838779e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1220.7MB, alloc=4.6MB, time=120.50 x[1] = 0.326 y[1] (analytic) = 0.26812585070259557626941573965374 y[1] (numeric) = 0.26812585141393252678087649270104 absolute error = 7.1133695051146075304730e-10 relative error = 2.6529965262486892996212189196584e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.327 y[1] (analytic) = 0.26835443448720158362101487104116 y[1] (numeric) = 0.26835443519927211858715588639966 absolute error = 7.1207053496614101535850e-10 relative error = 2.6534703491180848503392414984926e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.328 y[1] (analytic) = 0.26858311313503125674077484369102 y[1] (numeric) = 0.26858311384783565598114851493401 absolute error = 7.1280439924037367124299e-10 relative error = 2.6539434699381429434034065907058e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.329 y[1] (analytic) = 0.26881188664189573160357823248392 y[1] (numeric) = 0.26881188735543427489271959201086 absolute error = 7.1353854328914135952694e-10 relative error = 2.6544158898735717732227826337972e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1224.5MB, alloc=4.6MB, time=120.86 x[1] = 0.33 y[1] (analytic) = 0.26904075500360471461397812508208 y[1] (numeric) = 0.26904075571787768168138784254876 absolute error = 7.1427296706740971746668e-10 relative error = 2.6548876100865818834775847991055e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.331 y[1] (analytic) = 0.26926971821596648303411008989189 y[1] (numeric) = 0.26926971893097415356423747500123 absolute error = 7.1500767053012738510934e-10 relative error = 2.6553586317368925985908916891644e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.332 y[1] (analytic) = 0.2694987762747878854116911832299 y[1] (numeric) = 0.26949877699053053904391719288728 absolute error = 7.1574265363222600965738e-10 relative error = 2.6558289559817384359030210631853e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.333 y[1] (analytic) = 0.2697279291758743420081058952774 y[1] (numeric) = 0.26972792989235225833672614511443 absolute error = 7.1647791632862024983703e-10 relative error = 2.6562985839758754986147892555093e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1228.3MB, alloc=4.6MB, time=121.23 x[1] = 0.334 y[1] (analytic) = 0.26995717691502984522657893441101 y[1] (numeric) = 0.26995717763224330380078671468134 absolute error = 7.1721345857420778027033e-10 relative error = 2.6567675168715878495644010298828e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.335 y[1] (analytic) = 0.27018651948805696004043474949786 y[1] (numeric) = 0.27018652020600624036430404534909 absolute error = 7.1794928032386929585123e-10 relative error = 2.6572357558186938659053203853310e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.336 y[1] (analytic) = 0.27041595689075682442144368974654 y[1] (numeric) = 0.27041595760944220595391220587205 absolute error = 7.1868538153246851612551e-10 relative error = 2.6577033019645525747496198120184e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.337 y[1] (analytic) = 0.27064548911892914976825470170717 y[1] (numeric) = 0.27064548983835091192310689138137 absolute error = 7.1942176215485218967420e-10 relative error = 2.6581701564540699698407642045231e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1232.1MB, alloc=4.6MB, time=121.60 x[1] = 0.338 y[1] (analytic) = 0.27087511616837222133491446301498 y[1] (numeric) = 0.2708751168885306434807645615162 absolute error = 7.2015842214585009850122e-10 relative error = 2.6586363204297053093233823925151e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.339 y[1] (analytic) = 0.27110483803488289865947285247488 y[1] (numeric) = 0.27110483875577826011974791489964 absolute error = 7.2089536146027506242476e-10 relative error = 2.6591017950314773946728852602101e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.34 y[1] (analytic) = 0.27133465471425661599267465608664 y[1] (numeric) = 0.27133465543588919604559759955884 absolute error = 7.2163258005292294347220e-10 relative error = 2.6595665813969708308485848681038e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.341 y[1] (analytic) = 0.27156456620228738272673740861124 y[1] (numeric) = 0.27156456692465746060531005889059 absolute error = 7.2237007787857265027935e-10 relative error = 2.6600306806613422677373352175970e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1236.0MB, alloc=4.6MB, time=121.96 x[1] = 0.342 y[1] (analytic) = 0.27179457249476778382421527028306 y[1] (numeric) = 0.27179457321787563871620141277604 absolute error = 7.2310785489198614249298e-10 relative error = 2.6604940939573266229477899632952e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.343 y[1] (analytic) = 0.27202467358748898024694883827283 y[1] (numeric) = 0.27202467431133489129485727345048 absolute error = 7.2384591104790843517765e-10 relative error = 2.6609568224152432860226520314688e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.344 y[1] (analytic) = 0.27225486947624070938510079251032 y[1] (numeric) = 0.27225487020082495568616839573634 absolute error = 7.2458424630106760322602e-10 relative error = 2.6614188671630023041292989664271e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.345 y[1] (analytic) = 0.27248516015681128548627727547665 y[1] (numeric) = 0.27248516088213414609245206124988 absolute error = 7.2532286060617478577323e-10 relative error = 2.6618802293261105492941195592130e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1239.8MB, alloc=4.6MB, time=122.33 x[1] = 0.346 y[1] (analytic) = 0.27271554562498760008473490557955 y[1] (numeric) = 0.27271554635104935400265909619443 absolute error = 7.2606175391792419061488e-10 relative error = 2.6623409100276778672417535661478e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.347 y[1] (analytic) = 0.27294602587655512243067332372634 y[1] (numeric) = 0.27294602660335604862166642235546 absolute error = 7.2680092619099309862912e-10 relative error = 2.6628009103884232079037872381903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.348 y[1] (analytic) = 0.2731766009072978999196131727129 y[1] (numeric) = 0.2731766016348382772996550409152 absolute error = 7.2754037738004186820230e-10 relative error = 2.6632602315266807376573242840177e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.349 y[1] (analytic) = 0.2734072707129985585218594090483 y[1] (numeric) = 0.27340727144127866596157334870691 absolute error = 7.2828010743971393965861e-10 relative error = 2.6637188745584059333572107464070e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.35 memory used=1243.6MB, alloc=4.6MB, time=122.69 y[1] (analytic) = 0.27363803528943830321204984683818 y[1] (numeric) = 0.2736380360184584195366856865316 absolute error = 7.2902011632463583969342e-10 relative error = 2.6641768405971816582228122755771e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.351 y[1] (analytic) = 0.27386889463239691839878883335169 y[1] (numeric) = 0.27386889536215732238820601916242 absolute error = 7.2976040398941718581073e-10 relative error = 2.6646341307542242196425682856284e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.352 y[1] (analytic) = 0.27409984873765276835436595590064 y[1] (numeric) = 0.27409984946815373874301664666458 absolute error = 7.3050097038865069076394e-10 relative error = 2.6650907461383894089549232862225e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.353 y[1] (analytic) = 0.27433089760098279764455967966023 y[1] (numeric) = 0.27433089833222461312147184666126 absolute error = 7.3124181547691216700103e-10 relative error = 2.6655466878561785232708730512020e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.354 y[1] (analytic) = 0.27456204121816253155852581606563 y[1] (numeric) = 0.27456204195014547076728634717879 absolute error = 7.3198293920876053111316e-10 relative error = 2.6660019570117443693955266488390e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1247.4MB, alloc=4.6MB, time=123.06 x[1] = 0.355 y[1] (analytic) = 0.27479327958496607653877072141963 y[1] (numeric) = 0.27479328031769041807750852970688 absolute error = 7.3272434153873780828725e-10 relative error = 2.6664565547068972499115171734987e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.356 y[1] (analytic) = 0.2750246126971661206112091253502 y[1] (numeric) = 0.27502461343063214303257826211263 absolute error = 7.3346602242136913676243e-10 relative error = 2.6669104820411109314844119779789e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.357 y[1] (analytic) = 0.2752560405505339338153064887595 y[1] (numeric) = 0.27525604128474191562646926104966 absolute error = 7.3420798181116277229016e-10 relative error = 2.6673637401115285954497177918797e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.358 y[1] (analytic) = 0.27548756314083936863430579090839 y[1] (numeric) = 0.27548756387578958829691588350678 absolute error = 7.3495021966261009259839e-10 relative error = 2.6678163300129687707429198875219e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1251.2MB, alloc=4.6MB, time=123.43 x[1] = 0.359 y[1] (analytic) = 0.27571918046385086042553864528378 y[1] (numeric) = 0.27571918119954359635572424714316 absolute error = 7.3569273593018560185938e-10 relative error = 2.6682682528379312492310360558048e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.36 y[1] (analytic) = 0.27595089251533542785082064389885 y[1] (numeric) = 0.27595089325177095841916757906027 absolute error = 7.3643553056834693516142e-10 relative error = 2.6687195096766029835061939860549e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.361 y[1] (analytic) = 0.27618269929105867330693082967901 y[1] (numeric) = 0.27618270002823727683846569266338 absolute error = 7.3717860353153486298437e-10 relative error = 2.6691701016168639672003488728361e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.362 y[1] (analytic) = 0.2764146007867847833561751965897 y[1] (numeric) = 0.27641460152470673813034849226877 absolute error = 7.3792195477417329567907e-10 relative error = 2.6696200297442930978805040348148e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1255.0MB, alloc=4.6MB, time=123.79 x[1] = 0.363 y[1] (analytic) = 0.2766465969982765291570341171651 y[1] (numeric) = 0.27664659773694211340770340511561 absolute error = 7.3866558425066928795051e-10 relative error = 2.6700692951421740225829924207330e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.364 y[1] (analytic) = 0.27687868792129526689489359709982 y[1] (numeric) = 0.27687868866070475881030664044462 absolute error = 7.3940949191541304334480e-10 relative error = 2.6705178988915009660456969145090e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.365 y[1] (analytic) = 0.27711087355160093821286025656844 y[1] (numeric) = 0.27711087429175461593563817530868 absolute error = 7.4015367772277791874024e-10 relative error = 2.6709658420709845416978011894438e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.366 y[1] (analytic) = 0.27734315388495207064265993794204 y[1] (numeric) = 0.27734315462585021226978036678376 absolute error = 7.4089814162712042884172e-10 relative error = 2.6714131257570575454625750736208e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1258.8MB, alloc=4.6MB, time=124.16 x[1] = 0.367 y[1] (analytic) = 0.27757552891710577803561983957217 y[1] (numeric) = 0.27757552965874866161840009025168 absolute error = 7.4164288358278025067951e-10 relative error = 2.6718597510238807324350882568081e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.368 y[1] (analytic) = 0.27780799864381776099373407531803 y[1] (numeric) = 0.27780799938620566453781430342946 absolute error = 7.4238790354408022811143e-10 relative error = 2.6723057189433485764890487422338e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.369 y[1] (analytic) = 0.27804056306084230730081255949413 y[1] (numeric) = 0.27804056380397550876613893582326 absolute error = 7.4313320146532637632913e-10 relative error = 2.6727510305850950128730252254659e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.37 y[1] (analytic) = 0.27827322216393229235371311692014 y[1] (numeric) = 0.27827322290781106965452100328823 absolute error = 7.4387877730080788636809e-10 relative error = 2.6731956870164991638520513902037e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1262.7MB, alloc=4.6MB, time=124.52 x[1] = 0.371 y[1] (analytic) = 0.27850597594883917959365671775743 y[1] (numeric) = 0.27850597669346381059845384737888 absolute error = 7.4462463100479712962145e-10 relative error = 2.6736396893026910474521969649929e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.372 y[1] (analytic) = 0.27873882441131302093762573682041 y[1] (numeric) = 0.27873882515668378346917539917809 absolute error = 7.4537076253154966235768e-10 relative error = 2.6740830385065572693651120535538e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.373 y[1] (analytic) = 0.27897176754710245720984513705396 y[1] (numeric) = 0.27897176829321962904514936729609 absolute error = 7.4611717183530423024213e-10 relative error = 2.6745257356887466980694425421036e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.374 y[1] (analytic) = 0.27920480535195471857334647687207 y[1] (numeric) = 0.2792048060988185774436292497344 absolute error = 7.4686385887028277286233e-10 relative error = 2.6749677819076761232251894608758e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1266.5MB, alloc=4.6MB, time=124.89 x[1] = 0.375 y[1] (analytic) = 0.27943793782161562496161464105592 y[1] (numeric) = 0.27943793856922644855230506931308 absolute error = 7.4761082359069042825716e-10 relative error = 2.6754091782195358973977687506254e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.376 y[1] (analytic) = 0.27967116495182958651031719491334 y[1] (numeric) = 0.27967116570018765246103273236324 absolute error = 7.4835806595071553744990e-10 relative error = 2.6758499256782955611679184012932e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.377 y[1] (analytic) = 0.27990448673833960398911626140536 y[1] (numeric) = 0.27990448748744518989364591039031 absolute error = 7.4910558590452964898495e-10 relative error = 2.6762900253357094516826013193115e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.378 y[1] (analytic) = 0.28013790317688726923356282094851 y[1] (numeric) = 0.28013790392674065263985034441715 absolute error = 7.4985338340628752346864e-10 relative error = 2.6767294782413222947040946775664e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1270.3MB, alloc=4.6MB, time=125.26 x[1] = 0.379 y[1] (analytic) = 0.28037141426321276557707333360619 y[1] (numeric) = 0.28037141501381422398720047171982 absolute error = 7.5060145841012713811363e-10 relative error = 2.6771682854424747802109545217504e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.38 y[1] (analytic) = 0.28060501999305486828298858338515 y[1] (numeric) = 0.28060502074440467915315827467241 absolute error = 7.5134981087016969128726e-10 relative error = 2.6776064479843091216074113898616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.381 y[1] (analytic) = 0.28083872036215094497671464435742 y[1] (numeric) = 0.28083872111424938571723425142113 absolute error = 7.5209844074051960706371e-10 relative error = 2.6780439669097745985957549072205e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.382 y[1] (analytic) = 0.28107251536623695607794586833165 y[1] (numeric) = 0.28107251611908430405321040811161 absolute error = 7.5284734797526453977996e-10 relative error = 2.6784808432596330837665231927316e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.383 y[1] (analytic) = 0.2813064050010474552329697938015 y[1] (numeric) = 0.28130640575464398776144517239715 memory used=1274.1MB, alloc=4.6MB, time=125.63 absolute error = 7.5359653252847537859565e-10 relative error = 2.6789170780724645529614970812763e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.384 y[1] (analytic) = 0.28154038926231558974705387590273 y[1] (numeric) = 0.28154039001666158410126012795949 absolute error = 7.5434599435420625205676e-10 relative error = 2.6793526723846725794636512309803e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.385 y[1] (analytic) = 0.28177446814577310101691393711464 y[1] (numeric) = 0.28177446890086883442340846977759 absolute error = 7.5509573340649453266295e-10 relative error = 2.6797876272304898120677267996418e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.386 y[1] (analytic) = 0.28200864164715032496326423844478 y[1] (numeric) = 0.28200864240299607460262507988387 absolute error = 7.5584574963936084143909e-10 relative error = 2.6802219436419834370873363744943e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.387 y[1] (analytic) = 0.28224290976217619246344907084099 y[1] (numeric) = 0.28224291051877223547025812335113 absolute error = 7.5659604300680905251014e-10 relative error = 2.6806556226490606243494417193483e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1277.9MB, alloc=4.6MB, time=125.99 x[1] = 0.388 y[1] (analytic) = 0.28247727248657822978415576657717 y[1] (numeric) = 0.28247727324392484324698206425763 absolute error = 7.5734661346282629768046e-10 relative error = 2.6810886652794739572336589056766e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.389 y[1] (analytic) = 0.28271172981608255901420903036543 y[1] (numeric) = 0.28271173057418001997559200138167 absolute error = 7.5809746096138297101624e-10 relative error = 2.6815210725588268468051641906792e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.39 y[1] (analytic) = 0.28294628174641389849744648994861 y[1] (numeric) = 0.28294628250526248395387922338107 absolute error = 7.5884858545643273343246e-10 relative error = 2.6819528455105789300994168265491e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.391 y[1] (analytic) = 0.28318092827329556326567536593404 y[1] (numeric) = 0.28318092903289555016758788321724 absolute error = 7.5959998690191251728320e-10 relative error = 2.6823839851560514526075355207915e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1281.7MB, alloc=4.6MB, time=126.36 x[1] = 0.392 y[1] (analytic) = 0.28341566939244946547171016063149 y[1] (numeric) = 0.28341567015280113072345269158746 absolute error = 7.6035166525174253095597e-10 relative error = 2.6828144925144326350175210404488e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.393 y[1] (analytic) = 0.28365050509959611482249126566357 y[1] (numeric) = 0.28365050586069973528231752913338 absolute error = 7.6110362045982626346981e-10 relative error = 2.6832443686027830242630597269040e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.394 y[1] (analytic) = 0.28388543539045461901228438812039 y[1] (numeric) = 0.28388543615231047149233487719777 absolute error = 7.6185585248005048907738e-10 relative error = 2.6836736144360408289331063779383e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.395 y[1] (analytic) = 0.28412046026074268415596069503543 y[1] (numeric) = 0.28412046102335104542224596690605 absolute error = 7.6260836126628527187062e-10 relative error = 2.6841022310270272390929903169967e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1285.5MB, alloc=4.6MB, time=126.72 x[1] = 0.396 y[1] (analytic) = 0.28435557970617661522235757596282 y[1] (numeric) = 0.28435558046953776199474154635323 absolute error = 7.6336114677238397039041e-10 relative error = 2.6845302193864517305705913646346e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.397 y[1] (analytic) = 0.28459079372247131646771992344131 y[1] (numeric) = 0.28459079448658552541990316568139 absolute error = 7.6411420895218324224008e-10 relative error = 2.6849575805229173537588890912055e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.398 y[1] (analytic) = 0.2848261023053402918692218311344 y[1] (numeric) = 0.28482610307020783962872487983709 absolute error = 7.6486754775950304870269e-10 relative error = 2.6853843154429260069862435120727e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.399 y[1] (analytic) = 0.28506150545049564555856860944048 y[1] (numeric) = 0.28506150621611680870671526880259 absolute error = 7.6562116314814665936211e-10 relative error = 2.6858104251508836945059594536494e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1289.4MB, alloc=4.6MB, time=127.08 x[1] = 0.4 y[1] (analytic) = 0.28529700315364808225567901837124 y[1] (numeric) = 0.28529700392002313732757967509923 absolute error = 7.6637505507190065672799e-10 relative error = 2.6862359106491057691567035592225e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.401 y[1] (analytic) = 0.28553259541050690770244761750121 y[1] (numeric) = 0.28553259617763613118698255836577 absolute error = 7.6712922348453494086456e-10 relative error = 2.6866607729378221597446234217254e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.402 y[1] (analytic) = 0.28576828221678002909658713279582 y[1] (numeric) = 0.28576828298466369743638986681904 absolute error = 7.6788366833980273402322e-10 relative error = 2.6870850130151825831978984469253e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.403 y[1] (analytic) = 0.28600406356817395552555074012979 y[1] (numeric) = 0.28600406433681234511699132540885 absolute error = 7.6863838959144058527906e-10 relative error = 2.6875086318772617415448918680150e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1293.2MB, alloc=4.6MB, time=127.45 x[1] = 0.404 y[1] (analytic) = 0.28623993946039379840053416531267 y[1] (numeric) = 0.28623994022978718559370254048372 absolute error = 7.6939338719316837517105e-10 relative error = 2.6879316305180645037654829973093e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.405 y[1] (analytic) = 0.28647590988914327189055750044238 y[1] (numeric) = 0.28647591065929193298924682078858 absolute error = 7.7014866109868932034620e-10 relative error = 2.6883540099295310725669306987158e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.406 y[1] (analytic) = 0.28671197485012469335662663641295 y[1] (numeric) = 0.28671197562102890461831661462037 absolute error = 7.7090421126168997820742e-10 relative error = 2.6887757711015421361334359909796e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.407 y[1] (analytic) = 0.28694813433903898378597421140665 y[1] (numeric) = 0.28694813511069902142181446297215 absolute error = 7.7166003763584025156550e-10 relative error = 2.6891969150219240049007952011063e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1297.0MB, alloc=4.6MB, time=127.82 x[1] = 0.408 y[1] (analytic) = 0.28718438835158566822637997520664 y[1] (numeric) = 0.28718438912400180840117336850106 absolute error = 7.7241614017479339329442e-10 relative error = 2.6896174426764537334031255775712e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.409 y[1] (analytic) = 0.28742073688346287622057046916933 y[1] (numeric) = 0.28742073765663539505275648016038 absolute error = 7.7317251883218601099105e-10 relative error = 2.6900373550488642272449141866318e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.41 y[1] (analytic) = 0.28765717993036734224069792170242 y[1] (numeric) = 0.28765718070429651580233599334063 absolute error = 7.7392917356163807163821e-10 relative error = 2.6904566531208493352441660228816e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.411 y[1] (analytic) = 0.28789371748799440612289825909779 y[1] (numeric) = 0.28789371826268051043965116536974 absolute error = 7.7468610431675290627195e-10 relative error = 2.6908753378720689267988315479705e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1300.8MB, alloc=4.6MB, time=128.18 x[1] = 0.412 y[1] (analytic) = 0.28813034955203801350192813157461 y[1] (numeric) = 0.28813035032748132455304534622696 absolute error = 7.7544331105111721465235e-10 relative error = 2.6912934102801539545230765144772e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.413 y[1] (analytic) = 0.28836707611819071624588085439217 y[1] (numeric) = 0.28836707689439150996418192433044 absolute error = 7.7620079371830106993827e-10 relative error = 2.6917108713207115022037088350130e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.414 y[1] (analytic) = 0.28860389718214367289098116389715 y[1] (numeric) = 0.28860389795910222516283908726316 absolute error = 7.7695855227185792336601e-10 relative error = 2.6921277219673298181252569566423e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.415 y[1] (analytic) = 0.28884081273958664907645868837532 y[1] (numeric) = 0.28884081351730323574178329730708 absolute error = 7.7771658666532460893176e-10 relative error = 2.6925439631915833338117369553836e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1304.6MB, alloc=4.6MB, time=128.55 x[1] = 0.416 y[1] (analytic) = 0.2890778227862080179795000335827 y[1] (numeric) = 0.28907782356468291483172138166035 absolute error = 7.7847489685222134807765e-10 relative error = 2.6929595959630376682327257013850e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.417 y[1] (analytic) = 0.28931492731769476075027938283549 y[1] (numeric) = 0.2893149280969282435363311372176 absolute error = 7.7923348278605175438211e-10 relative error = 2.6933746212492546175242928462211e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.418 y[1] (analytic) = 0.28955212632973246694706751154491 y[1] (numeric) = 0.28955212710972481136737034979845 absolute error = 7.7999234442030283825354e-10 relative error = 2.6937890400157971302692436474318e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.419 y[1] (analytic) = 0.28978941981800533497141911608634 y[1] (numeric) = 0.28978942059875681667986412771455 absolute error = 7.8075148170844501162821e-10 relative error = 2.6942028532262342683875945984316e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.42 y[1] (analytic) = 0.29002680777819617250343835689898 y[1] (numeric) = 0.29002680855970706710737044957069 absolute error = 7.8151089460393209267171e-10 relative error = 2.6946160618421461536824887786747e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1308.4MB, alloc=4.6MB, time=128.91 x[1] = 0.421 y[1] (analytic) = 0.2902642902059863969371225157164 y[1] (numeric) = 0.29026429098825697999732382620085 absolute error = 7.8227058306020131048445e-10 relative error = 2.6950286668231289000906617353646e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.422 y[1] (analytic) = 0.29050186709705603581578366683443 y[1] (numeric) = 0.29050186788008658284645697664524 absolute error = 7.8303054703067330981081e-10 relative error = 2.6954406691267995316832833037182e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.423 y[1] (analytic) = 0.29073953844708372726754826232748 y[1] (numeric) = 0.29073953923087451373630041807981 absolute error = 7.8379078646875215575233e-10 relative error = 2.6958520697088008864655517139728e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.424 y[1] (analytic) = 0.29097730425174672044093453113064 y[1] (numeric) = 0.29097730503629802176875986961501 absolute error = 7.8455130132782533848437e-10 relative error = 2.6962628695228065060199337496674e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1312.2MB, alloc=4.6MB, time=129.28 x[1] = 0.425 y[1] (analytic) = 0.29121516450672087594050759190909 y[1] (numeric) = 0.29121516529203296750177136988613 absolute error = 7.8531209156126377797704e-10 relative error = 2.6966730695205255110424881164632e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.426 y[1] (analytic) = 0.29145311920768066626261217964315 y[1] (numeric) = 0.29145311999375382338503400836284 absolute error = 7.8607315712242182871969e-10 relative error = 2.6970826706517074628163371319678e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.427 y[1] (analytic) = 0.29169116835029917623118288586184 y[1] (numeric) = 0.29169116913713367419582017031111 absolute error = 7.8683449796463728444927e-10 relative error = 2.6974916738641472106696922219034e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.428 y[1] (analytic) = 0.29192931193024810343363181246381 y[1] (numeric) = 0.29192931271784421747486319534624 absolute error = 7.8759611404123138288243e-10 relative error = 2.6979000801036897254641528202174e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1316.1MB, alloc=4.6MB, time=129.65 x[1] = 0.429 y[1] (analytic) = 0.29216754994319775865681353906944 y[1] (numeric) = 0.29216755073155576396232234952131 absolute error = 7.8835800530550881045187e-10 relative error = 2.6983078903142349191610206985230e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.43 y[1] (analytic) = 0.29240588238481706632306730385502 y[1] (numeric) = 0.29240588317393723803382501090084 absolute error = 7.8912017171075770704582e-10 relative error = 2.6987151054377424505076156147414e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.431 y[1] (analytic) = 0.29264430925077356492633629782324 y[1] (numeric) = 0.29264431004065617813658596857525 absolute error = 7.8988261321024967075201e-10 relative error = 2.6991217264142365168939080270949e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.432 y[1] (analytic) = 0.29288283053673340746836397247226 y[1] (numeric) = 0.29288283132737873722560373507732 absolute error = 7.9064532975723976260506e-10 relative error = 2.6995277541818106324212885374127e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1319.9MB, alloc=4.6MB, time=130.01 x[1] = 0.433 y[1] (analytic) = 0.29312144623836136189496726082962 y[1] (numeric) = 0.29312144702976968319993377216749 absolute error = 7.9140832130496651133787e-10 relative error = 2.6999331896766323922307784395391e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.434 y[1] (analytic) = 0.29336015635132081153238661182391 y[1] (numeric) = 0.29336015714349239933903852996078 absolute error = 7.9217158780665191813687e-10 relative error = 2.7003380338329482231353509885491e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.435 y[1] (analytic) = 0.29359896087127375552371273797285 y[1] (numeric) = 0.29359896166420888473921419937372 absolute error = 7.9293512921550146140087e-10 relative error = 2.7007422875830881206004605761524e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.436 y[1] (analytic) = 0.29383785979388080926538997637156 y[1] (numeric) = 0.29383786058757975475009407787557 absolute error = 7.9369894548470410150401e-10 relative error = 2.7011459518574703721193030743830e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1323.7MB, alloc=4.6MB, time=130.26 x[1] = 0.437 y[1] (analytic) = 0.29407685311480120484379616297163 y[1] (numeric) = 0.29407685390926424141122844853408 absolute error = 7.9446303656743228556245e-10 relative error = 2.7015490275846062670262296540687e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.438 y[1] (analytic) = 0.294315940829692791471898920147 y[1] (numeric) = 0.29431594162492019388874087235176 absolute error = 7.9522740241684195220476e-10 relative error = 2.7019515156911047927926668465534e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.439 y[1] (analytic) = 0.29455512293421203592598825754844 y[1] (numeric) = 0.29455512373020407891206079389473 absolute error = 7.9599204298607253634629e-10 relative error = 2.7023534171016773178508187645611e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.44 y[1] (analytic) = 0.29479439942401402298248538625478 y[1] (numeric) = 0.29479440022077098121073236022215 absolute error = 7.9675695822824697396737e-10 relative error = 2.7027547327391422609887991309523e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1327.5MB, alloc=4.6MB, time=130.42 x[1] = 0.441 y[1] (analytic) = 0.29503377029475245585482764623495 y[1] (numeric) = 0.29503377109227460395129935313018 absolute error = 7.9752214809647170689523e-10 relative error = 2.7031554635244297473608168895331e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.442 y[1] (analytic) = 0.29527323554207965663042944714085 y[1] (numeric) = 0.29527323634036726917426613473062 absolute error = 7.9828761254383668758977e-10 relative error = 2.7035556103765862511566922946958e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.443 y[1] (analytic) = 0.29551279516164656670771912245712 y[1] (numeric) = 0.29551279596069991823113450639036 absolute error = 7.9905335152341538393324e-10 relative error = 2.7039551742127792249745791951562e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.444 y[1] (analytic) = 0.29575244914910274723325159704015 y[1] (numeric) = 0.29575244994892211222151638106389 absolute error = 7.9981936498826478402374e-10 relative error = 2.7043541559483017159400999527527e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1331.3MB, alloc=4.6MB, time=130.57 x[1] = 0.445 y[1] (analytic) = 0.2959921975000963795388967680851 y[1] (numeric) = 0.29599219830068203243032216905746 absolute error = 8.0058565289142540097236e-10 relative error = 2.7047525564965769686146372329373e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.446 y[1] (analytic) = 0.29623204021027426557910349956495 y[1] (numeric) = 0.29623204101162648076502477726942 absolute error = 8.0135221518592127770447e-10 relative error = 2.7051503767691630147377006294605e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.447 y[1] (analytic) = 0.29647197727528182836823913019322 y[1] (numeric) = 0.29647197807740088019299912195775 absolute error = 8.0211905182475999176453e-10 relative error = 2.7055476176757572498442708855055e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.448 y[1] (analytic) = 0.29671200869076311241800439496715 y[1] (numeric) = 0.296712009493649275178937055092 absolute error = 8.0288616276093266012485e-10 relative error = 2.7059442801242009968014525765597e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1335.1MB, alloc=4.6MB, time=130.73 x[1] = 0.449 y[1] (analytic) = 0.29695213445236078417492366035475 y[1] (numeric) = 0.29695213525601433212233760435304 absolute error = 8.0365354794741394399829e-10 relative error = 2.7063403650204840563071174744082e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.45 y[1] (analytic) = 0.29719235455571613245791037319615 y[1] (numeric) = 0.2971923553601373397950724268507 absolute error = 8.0442120733716205365455e-10 relative error = 2.7067358732687492443919201217293e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.451 y[1] (analytic) = 0.29743266899646906889590762339487 y[1] (numeric) = 0.29743266980165820977902637663535 absolute error = 8.0518914088311875324048e-10 relative error = 2.7071308057712969169685409727067e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.452 y[1] (analytic) = 0.29767307777025812836560372048223 y[1] (numeric) = 0.29767307857621547690381308608633 absolute error = 8.0595734853820936560410e-10 relative error = 2.7075251634285894814693615414678e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.453 y[1] (analytic) = 0.29791358087272046942922268414365 y[1] (numeric) = 0.29791358167944629968456546126627 absolute error = 8.0672583025534277712262e-10 relative error = 2.7079189471392558956156417828712e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1339.0MB, alloc=4.6MB, time=130.88 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.454 y[1] (analytic) = 0.29815417829949187477238954880321 y[1] (numeric) = 0.29815417910698646075980099133707 absolute error = 8.0749458598741144253386e-10 relative error = 2.7083121578000961533581242657251e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.455 y[1] (analytic) = 0.29839487004620675164207038236753 y[1] (numeric) = 0.29839487085447036732936177213972 absolute error = 8.0826361568729138977219e-10 relative error = 2.7087047963060857580346131664691e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.456 y[1] (analytic) = 0.29863565610849813228458691923932 y[1] (numeric) = 0.29863565691753105159242914404686 absolute error = 8.0903291930784222480754e-10 relative error = 2.7090968635503801827812929744722e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.457 y[1] (analytic) = 0.29887653648199767438370570771452 y[1] (numeric) = 0.29887653729180017118561284420336 absolute error = 8.0980249680190713648884e-10 relative error = 2.7094883604243193182438325860828e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1342.8MB, alloc=4.6MB, time=131.03 x[1] = 0.458 y[1] (analytic) = 0.29911751116233566149880167188636 y[1] (numeric) = 0.29911751197290800962111457327722 absolute error = 8.1057234812231290139086e-10 relative error = 2.7098792878174319076261490574501e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.459 y[1] (analytic) = 0.29935858014514100350309598818422 y[1] (numeric) = 0.29935858095648347672496587684939 absolute error = 8.1134247322186988866517e-10 relative error = 2.7102696466174399691204221354834e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.46 y[1] (analytic) = 0.29959974342604123702196817668351 y[1] (numeric) = 0.29959974423815410907534024157818 absolute error = 8.1211287205337206489467e-10 relative error = 2.7106594377102632057575455622705e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.461 y[1] (analytic) = 0.29984100100066252587134230732818 y[1] (numeric) = 0.29984100181354607044093930628045 absolute error = 8.1288354456959699895227e-10 relative error = 2.7110486619800234027208316603321e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1346.6MB, alloc=4.6MB, time=131.18 x[1] = 0.462 y[1] (analytic) = 0.30008235286462966149614722121574 y[1] (numeric) = 0.30008235367828415221945308807871 absolute error = 8.1365449072330586686297e-10 relative error = 2.7114373203090488121611917329168e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.463 y[1] (analytic) = 0.30032379901356606340885066709992 y[1] (numeric) = 0.30032379982799177387609412377012 absolute error = 8.1442571046724345667020e-10 relative error = 2.7118254135778785255572430179471e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.464 y[1] (analytic) = 0.30056533944309377962806725327456 y[1] (numeric) = 0.30056534025829098338220542658017 absolute error = 8.1519720375413817330561e-10 relative error = 2.7122129426652668336580701124543e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.465 y[1] (analytic) = 0.30080697414883348711724011500781 y[1] (numeric) = 0.30080697496480245765394215847076 absolute error = 8.1596897053670204346295e-10 relative error = 2.7125999084481875740510589335182e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1350.4MB, alloc=4.6MB, time=131.33 x[1] = 0.466 y[1] (analytic) = 0.30104870312640449222339619770385 y[1] (numeric) = 0.30104870394314550299102691817946 absolute error = 8.1674101076763072047561e-10 relative error = 2.7129863118018384663935063606979e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.467 y[1] (analytic) = 0.30129052637142473111597505597549 y[1] (numeric) = 0.30129052718893805551557854517356 absolute error = 8.1751332439960348919807e-10 relative error = 2.7133721535996454353488284762201e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.468 y[1] (analytic) = 0.30153244387951077022573106881862 y[1] (numeric) = 0.30153244469779668161101433970972 absolute error = 8.1828591138528327089110e-10 relative error = 2.7137574347132669212666794684143e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.469 y[1] (analytic) = 0.301774455646277806683708971086 y[1] (numeric) = 0.30177445646533657836102559919695 absolute error = 8.1905877167731662811095e-10 relative error = 2.7141421560125981786474769704268e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1354.2MB, alloc=4.6MB, time=131.49 x[1] = 0.47 y[1] (analytic) = 0.30201656166733966876029260146579 y[1] (numeric) = 0.30201656248717157398862637106784 absolute error = 8.1983190522833376960205e-10 relative error = 2.7145263183657755624292959129094e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.471 y[1] (analytic) = 0.30225876193830881630432676717626 y[1] (numeric) = 0.30225876275891412829527532237011 absolute error = 8.2060531199094855519385e-10 relative error = 2.7149099226391808021386314966197e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.472 y[1] (analytic) = 0.30250105645479634118231212559632 y[1] (numeric) = 0.30250105727617533310007062629764 absolute error = 8.2137899191775850070132e-10 relative error = 2.7152929696974452639427056545178e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.473 y[1] (analytic) = 0.30274344521241196771767298305823 y[1] (numeric) = 0.30274344603456491267901776588749 absolute error = 8.2215294496134478282926e-10 relative error = 2.7156754604034542006429396711174e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1358.0MB, alloc=4.6MB, time=131.64 x[1] = 0.474 y[1] (analytic) = 0.30298592820676405313009791103609 y[1] (numeric) = 0.30298592902969122420437015511658 absolute error = 8.2292717107427224408049e-10 relative error = 2.7160573956183509896488061147829e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.475 y[1] (analytic) = 0.30322850543345958797495307997112 y[1] (numeric) = 0.30322850625716125818404247763896 absolute error = 8.2370167020908939766784e-10 relative error = 2.7164387762015413589706353707297e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.476 y[1] (analytic) = 0.3034711768881041965827682109821 y[1] (numeric) = 0.3034711777125806389010966434121 absolute error = 8.2447644231832843243000e-10 relative error = 2.7168196030106976012702739446236e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.477 y[1] (analytic) = 0.30371394256630213749879504571668 y[1] (numeric) = 0.30371394339155362485330026346773 absolute error = 8.2525148735450521775105e-10 relative error = 2.7171998769017627760075596531531e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1361.8MB, alloc=4.6MB, time=131.80 x[1] = 0.478 y[1] (analytic) = 0.3039568024636563039226382346065 y[1] (numeric) = 0.30395680328968310919275754309047 absolute error = 8.2602680527011930848397e-10 relative error = 2.7175795987289548997220217785001e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.479 y[1] (analytic) = 0.30419975657576822414795854379669 y[1] (numeric) = 0.30419975740257062016561249367463 absolute error = 8.2680239601765394987794e-10 relative error = 2.7179587693447711244874577228644e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.48 y[1] (analytic) = 0.30444280489823806200224828102798 y[1] (numeric) = 0.30444280572581632155182436353727 absolute error = 8.2757825954957608250929e-10 relative error = 2.7183373895999919045770670606368e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.481 y[1] (analytic) = 0.3046859474266646172866788407564 y[1] (numeric) = 0.30468594825501901310501518797299 absolute error = 8.2835439581833634721659e-10 relative error = 2.7187154603436851513787562049935e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1365.7MB, alloc=4.6MB, time=131.96 x[1] = 0.482 y[1] (analytic) = 0.30492918415664532621602026880435 y[1] (numeric) = 0.30492918498577613099238935884352 absolute error = 8.2913080477636909003917e-10 relative error = 2.7190929824232103765961435282771e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.483 y[1] (analytic) = 0.30517251508377626185863274684291 y[1] (numeric) = 0.30517251591368374823472511400275 absolute error = 8.2990748637609236715984e-10 relative error = 2.7194699566842228237755221674163e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.484 y[1] (analytic) = 0.30541594020365213457652989701444 y[1] (numeric) = 0.30541594103433657514643784686552 absolute error = 8.3068444056990794985108e-10 relative error = 2.7198463839706775881939736350782e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.485 y[1] (analytic) = 0.30565945951186629246551380701063 y[1] (numeric) = 0.30565946034332795977571513643602 absolute error = 8.3146166731020132942539e-10 relative error = 2.7202222651248337251483502149313e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.486 y[1] (analytic) = 0.30590307300401072179538167593044 y[1] (numeric) = 0.30590307383624988834472339811951 memory used=1369.5MB, alloc=4.6MB, time=132.12 absolute error = 8.3223916654934172218907e-10 relative error = 2.7205976009872583466800521576028e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.487 y[1] (analytic) = 0.30614678067567604745020398124847 y[1] (numeric) = 0.30614678150869298568988605564867 absolute error = 8.3301693823968207440020e-10 relative error = 2.7209723923968307067753055210759e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.488 y[1] (analytic) = 0.30639058252245153336867406723364 y[1] (numeric) = 0.3063905833562465157022331344638 absolute error = 8.3379498233355906723016e-10 relative error = 2.7213466401907462750758287406526e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.489 y[1] (analytic) = 0.30663447853992508298452905516459 y[1] (numeric) = 0.30663447937449838176782217689372 absolute error = 8.3457329878329312172913e-10 relative error = 2.7217203452045207991382431589057e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.49 y[1] (analytic) = 0.30687846872368323966704197569695 y[1] (numeric) = 0.30687846955903512720823037949225 absolute error = 8.3535188754118840379530e-10 relative error = 2.7220935082719943552781265846029e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1373.3MB, alloc=4.6MB, time=132.27 x[1] = 0.491 y[1] (analytic) = 0.30712255306931118716158502374495 y[1] (numeric) = 0.30712255390544193572111785289288 absolute error = 8.3613074855953282914793e-10 relative error = 2.7224661302253353880358166744103e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.492 y[1] (analytic) = 0.30736673157239275003026383624804 y[1] (numeric) = 0.3073667324093026318208619045523 absolute error = 8.3690988179059806830426e-10 relative error = 2.7228382118950447383004802204714e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.493 y[1] (analytic) = 0.30761100422851039409262269320104 y[1] (numeric) = 0.30761100506619968127926224476125 absolute error = 8.3768928718663955156021e-10 relative error = 2.7232097541099596601286375865894e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.494 y[1] (analytic) = 0.30785537103324522686642054233451 y[1] (numeric) = 0.30785537187171419156631701630937 absolute error = 8.3846896469989647397486e-10 relative error = 2.7235807576972578262933639277280e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1377.1MB, alloc=4.6MB, time=132.42 x[1] = 0.495 y[1] (analytic) = 0.30809983198217699800847774783973 y[1] (numeric) = 0.30809983282142591229106954819848 absolute error = 8.3924891428259180035875e-10 relative error = 2.7239512234824613226004205789934e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.496 y[1] (analytic) = 0.30834438707088409975559346354086 y[1] (numeric) = 0.30834438791091323564252573380703 absolute error = 8.4002913588693227026617e-10 relative error = 2.7243211522894406310078605659879e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.497 y[1] (analytic) = 0.30858903629494356736553353092554 y[1] (numeric) = 0.30858903713575319683064193391645 absolute error = 8.4080962946510840299091e-10 relative error = 2.7246905449404186015832506103826e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.498 y[1] (analytic) = 0.3088337796499310795580888024522 y[1] (numeric) = 0.30883378049152147452738330501826 absolute error = 8.4159039496929450256606e-10 relative error = 2.7250594022559744133361602809902e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1380.9MB, alloc=4.6MB, time=132.58 x[1] = 0.499 y[1] (analytic) = 0.30907861713142095895620379056125 y[1] (numeric) = 0.30907861797379239130785245332904 absolute error = 8.4237143235164866276779e-10 relative error = 2.7254277250550475239612927673580e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.5 y[1] (analytic) = 0.3093235487349861725271755428261 y[1] (numeric) = 0.30932354957813891409148831494851 absolute error = 8.4315274156431277212241e-10 relative error = 2.7257955141549416085254683631741e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.501 y[1] (analytic) = 0.30956857445619833202392264368636 y[1] (numeric) = 0.30956857530013265458333516260426 absolute error = 8.4393432255941251891790e-10 relative error = 2.7261627703713284871376637311935e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.502 y[1] (analytic) = 0.30981369429062769442632424321625 y[1] (numeric) = 0.30981369513534386971538163943492 absolute error = 8.4471617528905739621867e-10 relative error = 2.7265294945182520416333151008878e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1384.7MB, alloc=4.6MB, time=132.73 x[1] = 0.503 y[1] (analytic) = 0.31005890823384316238262901338751 y[1] (numeric) = 0.31005890907934146208796972027196 absolute error = 8.4549829970534070688445e-10 relative error = 2.7268956874081321213108942309610e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.504 y[1] (analytic) = 0.31030421628141228465093393229554 y[1] (numeric) = 0.31030421712769298041127350088859 absolute error = 8.4628069576033956859305e-10 relative error = 2.7272613498517684377548831873932e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.505 y[1] (analytic) = 0.31054961842890125654073279682605 y[1] (numeric) = 0.31054961927596461994684771569262 absolute error = 8.4706336340611491886657e-10 relative error = 2.7276264826583444487786384923957e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.506 y[1] (analytic) = 0.31079511467187492035453436424675 y[1] (numeric) = 0.31079511551972122294924588434866 absolute error = 8.4784630259471152010191e-10 relative error = 2.7279910866354312315246049414497e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1388.5MB, alloc=4.6MB, time=132.88 x[1] = 0.507 y[1] (analytic) = 0.3110407050058967658295500232188 y[1] (numeric) = 0.31104070585452627910770798782341 absolute error = 8.4862951327815796460461e-10 relative error = 2.7283551625889913447533461511995e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.508 y[1] (analytic) = 0.3112863894265289305794508947296 y[1] (numeric) = 0.31128639027594192598791757435642 absolute error = 8.4941299540846667962682e-10 relative error = 2.7287187113233826803584406082864e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.509 y[1] (analytic) = 0.31153216792933220053619426345801 y[1] (numeric) = 0.31153216877952894947382819586706 absolute error = 8.5019674893763393240905e-10 relative error = 2.7290817336413623041404606825386e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.51 y[1] (analytic) = 0.31177804050986601039191924009175 y[1] (numeric) = 0.31177804136084678420955907531721 absolute error = 8.5098077381763983522546e-10 relative error = 2.7294442303440902858734888776408e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1392.4MB, alloc=4.6MB, time=133.04 x[1] = 0.511 y[1] (analytic) = 0.31202400716368844404091155512429 y[1] (numeric) = 0.31202400801545351404135990555765 absolute error = 8.5176507000044835043336e-10 relative error = 2.7298062022311335187004242562864e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.512 y[1] (analytic) = 0.31227006788635623502163738466874 y[1] (numeric) = 0.31227006873890587245964468019493 absolute error = 8.5254963743800729552619e-10 relative error = 2.7301676501004695278887129770045e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.513 y[1] (analytic) = 0.31251622267342476695884610883347 y[1] (numeric) = 0.31251622352675924304109445702395 absolute error = 8.5333447608224834819048e-10 relative error = 2.7305285747484902689819657835277e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.514 y[1] (analytic) = 0.312762471520448074005741903214 y[1] (numeric) = 0.31276247237456765989082895458057 absolute error = 8.5411958588508705136657e-10 relative error = 2.7308889769700059153804919432859e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1396.2MB, alloc=4.6MB, time=133.19 x[1] = 0.515 y[1] (analytic) = 0.31300881442297884128622406406385 y[1] (numeric) = 0.31300881527788380808464688237688 absolute error = 8.5490496679842281831303e-10 relative error = 2.7312488575582486353841740515182e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.516 y[1] (analytic) = 0.31325525137656840533719596771579 y[1] (numeric) = 0.31325525223225902411133490539098 absolute error = 8.5569061877413893767519e-10 relative error = 2.7316082173048763587324894822446e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.517 y[1] (analytic) = 0.31350178237676675455094256483462 y[1] (numeric) = 0.3135017832332432963150451433917 absolute error = 8.5647654176410257855708e-10 relative error = 2.7319670569999765326728156405868e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.518 y[1] (analytic) = 0.31374840741912252961757631009014 y[1] (numeric) = 0.31374840827638526533774110568761 absolute error = 8.5726273572016479559747e-10 relative error = 2.7323253774320698675924812801673e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.519 memory used=1400.0MB, alloc=4.6MB, time=133.34 y[1] (analytic) = 0.31399512649918302396755142784901 y[1] (numeric) = 0.31399512735723222456171196189862 absolute error = 8.5804920059416053404961e-10 relative error = 2.7326831793881140722464221150721e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.52 y[1] (analytic) = 0.31424193961249418421424641449267 y[1] (numeric) = 0.31424194047133012055215504935739 absolute error = 8.5883593633790863486472e-10 relative error = 2.7330404636535075786136206882878e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.521 y[1] (analytic) = 0.31448884675460061059661467797736 y[1] (numeric) = 0.31448884761422355349982651775678 absolute error = 8.5962294290321183977942e-10 relative error = 2.7333972310120932564158367720528e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.522 y[1] (analytic) = 0.31473584792104555742190321526171 y[1] (numeric) = 0.31473584878145577766376001166848 absolute error = 8.6041022024185679640677e-10 relative error = 2.7337534822461621173303612207815e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.523 y[1] (analytic) = 0.31498294310737093350843922823571 y[1] (numeric) = 0.31498294396856870181405329156712 absolute error = 8.6119776830561406333141e-10 relative error = 2.7341092181364570089310191912685e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1403.8MB, alloc=4.6MB, time=133.50 x[1] = 0.524 y[1] (analytic) = 0.31523013230911730262848457879517 y[1] (numeric) = 0.31523013317110288967472269400329 absolute error = 8.6198558704623811520812e-10 relative error = 2.7344644394621762983878108458498e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.525 y[1] (analytic) = 0.31547741552182388395115798371325 y[1] (numeric) = 0.31547741638459756036662533157781 absolute error = 8.6277367641546734786456e-10 relative error = 2.7348191470009775459600397273747e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.526 y[1] (analytic) = 0.31572479274102855248542484997151 y[1] (numeric) = 0.315724793604590588850448933379 absolute error = 8.6356203636502408340749e-10 relative error = 2.7351733415289811683130240524537e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.527 y[1] (analytic) = 0.31597226396226783952315465122075 y[1] (numeric) = 0.31597226482661850636976922655374 absolute error = 8.6435066684661457533299e-10 relative error = 2.7355270238207740916922461179076e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1407.6MB, alloc=4.6MB, time=133.65 x[1] = 0.528 y[1] (analytic) = 0.31621982918107693308224574605195 y[1] (numeric) = 0.31621983004621650089417475969241 absolute error = 8.6513956781192901364046e-10 relative error = 2.7358801946494133949863299194595e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.529 y[1] (analytic) = 0.31646748839298967834981753876666 y[1] (numeric) = 0.31646748925891841756245906871702 absolute error = 8.6592873921264152995036e-10 relative error = 2.7362328547864299427106960677449e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.53 y[1] (analytic) = 0.31671524159353857812546988334547 y[1] (numeric) = 0.31671524246025675912588008597118 absolute error = 8.6671818100041020262571e-10 relative error = 2.7365850050018320079438196069244e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.531 y[1] (analytic) = 0.31696308877825479326460963132232 y[1] (numeric) = 0.31696308964576268639148669321995 absolute error = 8.6750789312687706189763e-10 relative error = 2.7369366460641088852487229614375e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1411.4MB, alloc=4.6MB, time=133.81 x[1] = 0.532 y[1] (analytic) = 0.31721102994266814312184422428252 y[1] (numeric) = 0.31721103081096601866551231927684 absolute error = 8.6829787554366809499432e-10 relative error = 2.7372877787402344936094437135287e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.533 y[1] (analytic) = 0.31745906508230710599444223171075 y[1] (numeric) = 0.31745906595139523419683548298481 absolute error = 8.6908812820239325127406e-10 relative error = 2.7376384037956709694158333991415e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.534 y[1] (analytic) = 0.3177071941926988195658607349254 y[1] (numeric) = 0.31770719506257747062050718228744 absolute error = 8.6987865105464644736204e-10 relative error = 2.7379885219943722495274965212045e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.535 y[1] (analytic) = 0.31795541726936908134933945784509 y[1] (numeric) = 0.31795541814003852540134503013605 absolute error = 8.7066944405200557229096e-10 relative error = 2.7383381340987876444479801073441e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1415.2MB, alloc=4.6MB, time=133.96 x[1] = 0.536 y[1] (analytic) = 0.31820373430784234913156154534278 y[1] (numeric) = 0.31820373517930285627759403798793 absolute error = 8.7146050714603249264515e-10 relative error = 2.7386872408698654016396171700048e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.537 y[1] (analytic) = 0.31845214530364174141638088995145 y[1] (numeric) = 0.31845214617589358170465394766049 absolute error = 8.7225184028827305770904e-10 relative error = 2.7390358430670562590127131215375e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.538 y[1] (analytic) = 0.31870065025228903786861590769693 y[1] (numeric) = 0.31870065112533248129887301231575 absolute error = 8.7304344343025710461882e-10 relative error = 2.7393839414483169886163936372257e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.539 y[1] (analytic) = 0.31894924914930467975790966384076 y[1] (numeric) = 0.31894925002313999628140812735914 absolute error = 8.7383531652349846351838e-10 relative error = 2.7397315367701139305653998726178e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1419.1MB, alloc=4.6MB, time=134.11 x[1] = 0.54 y[1] (analytic) = 0.31919794199020777040265624932755 y[1] (numeric) = 0.3191979428648352299221512120463 absolute error = 8.7462745951949496271875e-10 relative error = 2.7400786297874265172311278486628e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.541 y[1] (analytic) = 0.31944672877051607561399330873985 y[1] (numeric) = 0.31944672964593594798372174260127 absolute error = 8.7541987236972843386142e-10 relative error = 2.7404252212537507877287464815084e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.542 y[1] (analytic) = 0.31969560948574602413986062057357 y[1] (numeric) = 0.31969561036195857916552533765918 absolute error = 8.7621255502566471708561e-10 relative error = 2.7407713119211028927311431782143e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.543 y[1] (analytic) = 0.31994458413141270810912463065729 y[1] (numeric) = 0.31994458500841821554787829685629 absolute error = 8.7700550743875366619900e-10 relative error = 2.7411169025400225896385862357223e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1422.9MB, alloc=4.6MB, time=134.27 x[1] = 0.544 y[1] (analytic) = 0.32019365270302988347576883954763 y[1] (numeric) = 0.32019365358082861303619799340018 absolute error = 8.7779872956042915385255e-10 relative error = 2.7414619938595767281363931065887e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.545 y[1] (analytic) = 0.32044281519610997046314994474351 y[1] (numeric) = 0.3204428160747021918052590214625 absolute error = 8.7859222134210907671899e-10 relative error = 2.7418065866273627261694974359089e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.546 y[1] (analytic) = 0.32069207160616405400831963857167 y[1] (numeric) = 0.32069207248555003674351499924681 absolute error = 8.7938598273519536067514e-10 relative error = 2.7421506815895120363645177793485e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.547 y[1] (analytic) = 0.32094142192870188420641196260591 y[1] (numeric) = 0.3209414228088818978974859285938 absolute error = 8.8018001369107396598789e-10 relative error = 2.7424942794906936029287932386519e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1426.7MB, alloc=4.6MB, time=134.42 x[1] = 0.548 y[1] (analytic) = 0.32119086615923187675509611949201 y[1] (numeric) = 0.32119086704020619091621101199621 absolute error = 8.8097431416111489250420e-10 relative error = 2.7428373810741173090573987337113e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.549 y[1] (analytic) = 0.32144040429326111339909464306085 y[1] (numeric) = 0.32144040517502999749576682790567 absolute error = 8.8176888409667218484482e-10 relative error = 2.7431799870815374148769868960408e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.55 y[1] (analytic) = 0.3216900363262953423747668276223 y[1] (numeric) = 0.32169003720885906582385076522385 absolute error = 8.8256372344908393760155e-10 relative error = 2.7435220982532559859555773190781e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.551 y[1] (analytic) = 0.32193976225383897885475731734157 y[1] (numeric) = 0.3219397631371978110244296178802 absolute error = 8.8335883216967230053863e-10 relative error = 2.7438637153281263124097044394854e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.552 y[1] (analytic) = 0.32218958207139510539270975661101 y[1] (numeric) = 0.32218958295554931560245324040882 memory used=1430.5MB, alloc=4.6MB, time=134.57 absolute error = 8.8415421020974348379781e-10 relative error = 2.7442048390435563186369917529672e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.553 y[1] (analytic) = 0.32243949577446547236804540233992 y[1] (numeric) = 0.32243949665941532988863316544695 absolute error = 8.8494985752058776310703e-10 relative error = 2.7445454701355119637033034097533e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.554 y[1] (analytic) = 0.32268950335855049843080659909478 y[1] (numeric) = 0.32268950424429627248428608408797 absolute error = 8.8574577405347948499319e-10 relative error = 2.7448856093385206324152265417847e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.555 y[1] (analytic) = 0.32293960481914927094656501803318 y[1] (numeric) = 0.32293960570569123070624209003169 absolute error = 8.8654195975967707199851e-10 relative error = 2.7452252573856745171054907703207e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.556 y[1] (analytic) = 0.32318980015175954644139456058468 y[1] (numeric) = 0.3231898010390979610318175884853 absolute error = 8.8733841459042302790062e-10 relative error = 2.7455644150086339901608185686966e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1434.3MB, alloc=4.6MB, time=134.73 x[1] = 0.557 y[1] (analytic) = 0.32344008935187775104690882784169 y[1] (numeric) = 0.32344009024001288954385277077835 absolute error = 8.8813513849694394293666e-10 relative error = 2.7459030829376309673220280586903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.558 y[1] (analytic) = 0.32369047241499898094536305663455 y[1] (numeric) = 0.32369047330393111237581355566555 absolute error = 8.8893213143045049903100e-10 relative error = 2.7462412619014722617840327325243e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.559 y[1] (analytic) = 0.32394094933661700281482042327473 y[1] (numeric) = 0.32394095022634639615695789830152 absolute error = 8.8972939334213747502679e-10 relative error = 2.7465789526275429291251408040857e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.56 y[1] (analytic) = 0.32419152011222425427438261596074 y[1] (numeric) = 0.32419152100275117845756636788201 absolute error = 8.9052692418318375192127e-10 relative error = 2.7469161558418096030940881322807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1438.1MB, alloc=4.6MB, time=134.88 x[1] = 0.561 y[1] (analytic) = 0.32444218473731184432948457685159 y[1] (numeric) = 0.3244421856286365682342368949565 absolute error = 8.9132472390475231810491e-10 relative error = 2.7472528722688238222835708495821e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.562 y[1] (analytic) = 0.32469294320736955381725331482324 y[1] (numeric) = 0.32469294409949234627524358942749 absolute error = 8.9212279245799027460425e-10 relative error = 2.7475891026317253477183262622585e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.563 y[1] (analytic) = 0.32494379551788583585193068993372 y[1] (numeric) = 0.32494379641080696564595953026245 absolute error = 8.9292112979402884032873e-10 relative error = 2.7479248476522454713870057222646e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.564 y[1] (analytic) = 0.32519474166434781627036007063375 y[1] (numeric) = 0.3251947425580675521343434279547 absolute error = 8.9371973586398335732095e-10 relative error = 2.7482601080507103157443643516795e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1442.0MB, alloc=4.6MB, time=135.03 x[1] = 0.565 y[1] (analytic) = 0.32544578164224129407753676476912 y[1] (numeric) = 0.32544578253675990469649006078022 absolute error = 8.9451861061895329601110e-10 relative error = 2.7485948845460441242141985674564e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.566 y[1] (analytic) = 0.32569691544705074189222212543307 y[1] (numeric) = 0.32569691634236849590224438590792 absolute error = 8.9531775401002226047485e-10 relative error = 2.7489291778557725427188975981507e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.567 y[1] (analytic) = 0.32594814307425930639262123273619 y[1] (numeric) = 0.32594814397037647238087922643143 absolute error = 8.9611716598825799369524e-10 relative error = 2.7492629886960258922652252954990e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.568 y[1] (analytic) = 0.32619946451934880876212405257312 y[1] (numeric) = 0.3261994654162656552668364354014 absolute error = 8.9691684650471238282828e-10 relative error = 2.7495963177815424326132959083374e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1445.8MB, alloc=4.6MB, time=135.19 x[1] = 0.569 y[1] (analytic) = 0.32645087977779974513510997347546 y[1] (numeric) = 0.32645088067551654064553143794767 absolute error = 8.9771679551042146447221e-10 relative error = 2.7499291658256716170563505976828e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.57 y[1] (analytic) = 0.32670238884509128704281562265091 y[1] (numeric) = 0.32670238974360829999922105259167 absolute error = 8.9851701295640542994076e-10 relative error = 2.7502615335403773383400389735296e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.571 y[1] (analytic) = 0.32695399171670128185926586231997 y[1] (numeric) = 0.32695399261601878065293449286 absolute error = 8.9931749879366863054003e-10 relative error = 2.7505934216362411657476045678545e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.572 y[1] (analytic) = 0.32720568838810625324726786747192 y[1] (numeric) = 0.3272056892882245062204674503211 absolute error = 9.0011825297319958284918e-10 relative error = 2.7509248308224655733790259220718e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1449.6MB, alloc=4.6MB, time=135.34 x[1] = 0.573 y[1] (analytic) = 0.32745747885478140160446818617264 y[1] (numeric) = 0.32745747975570067705043916017758 absolute error = 9.0091927544597097400494e-10 relative error = 2.7512557618068771596515156389305e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.574 y[1] (analytic) = 0.32770936311220060450947268356803 y[1] (numeric) = 0.32770936401392117067241235055787 absolute error = 9.0172056616293966698984e-10 relative error = 2.7515862152959298580483482188750e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.575 y[1] (analytic) = 0.32796134115583641716802927073735 y[1] (numeric) = 0.32796134205835854224307597666157 absolute error = 9.0252212507504670592422e-10 relative error = 2.7519161919947081391433819322137e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.576 y[1] (analytic) = 0.32821341298116007285927331956178 y[1] (numeric) = 0.3282134138844840249924906409239 absolute error = 9.0332395213321732136212e-10 relative error = 2.7522456926069302039286657818798e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1453.4MB, alloc=4.6MB, time=135.50 x[1] = 0.577 y[1] (analytic) = 0.32846557858364148338203566478491 y[1] (numeric) = 0.32846557948776753067039660037569 absolute error = 9.0412604728836093559078e-10 relative error = 2.7525747178349511684712997189697e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.578 y[1] (analytic) = 0.32871783795874923950121309445225 y[1] (numeric) = 0.32871783886367764999258426238627 absolute error = 9.0492841049137116793402e-10 relative error = 2.7529032683797662399272698688374e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.579 y[1] (analytic) = 0.32897019110195061139420122992836 y[1] (numeric) = 0.32897019200768165308732706998775 absolute error = 9.0573104169312584005939e-10 relative error = 2.7532313449410138839387265125183e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.58 y[1] (analytic) = 0.32922263800871154909738969670115 y[1] (numeric) = 0.32922263891524548994187667799016 absolute error = 9.0653394084448698128901e-10 relative error = 2.7535589482169789834411722748488e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1457.2MB, alloc=4.6MB, time=135.65 x[1] = 0.581 y[1] (analytic) = 0.32947517867449668295271948719384 y[1] (numeric) = 0.32947517958183379084902032110821 absolute error = 9.0733710789630083391437e-10 relative error = 2.7538860789045959889079986415450e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.582 y[1] (analytic) = 0.32972781309476932405430241681681 y[1] (numeric) = 0.32972781400290986685370027533145 absolute error = 9.0814054279939785851464e-10 relative error = 2.7542127376994520600575275250232e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.583 y[1] (analytic) = 0.32998054126499146469510257450182 y[1] (numeric) = 0.32998054217393571019969531378078 absolute error = 9.0894424550459273927896e-10 relative error = 2.7545389252957901990504186232551e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.584 y[1] (analytic) = 0.33023336318062377881367966897332 y[1] (numeric) = 0.33023336409037199477636405830568 absolute error = 9.0974821596268438933236e-10 relative error = 2.7548646423865123752027194425651e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.585 y[1] (analytic) = 0.33048627883712562244099417202192 y[1] (numeric) = 0.33048627974767807656545012808755 absolute error = 9.1055245412445595606563e-10 relative error = 2.7551898896631826412417769938263e-07 % Correct digits = 8 h = 0.001 memory used=1461.0MB, alloc=4.6MB, time=135.80 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.586 y[1] (analytic) = 0.33073928822995503414727416005727 y[1] (numeric) = 0.33073928914131199408794898652604 absolute error = 9.1135695994067482646877e-10 relative error = 2.7555146678160302411300466726766e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.587 y[1] (analytic) = 0.33099239135456873548894375522817 y[1] (numeric) = 0.33099239226673046885103638769647 absolute error = 9.1216173336209263246830e-10 relative error = 2.7558389775339527094837135085952e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.588 y[1] (analytic) = 0.33124558820642213145561306740957 y[1] (numeric) = 0.33124558911938890579505832367781 absolute error = 9.1296677433944525626824e-10 relative error = 2.7561628195045189626115262707534e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.589 y[1] (analytic) = 0.3314988787809693109171295383671 y[1] (numeric) = 0.33149887969474139374058237406223 absolute error = 9.1377208282345283569513e-10 relative error = 2.7564861944139723812008474553460e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1464.8MB, alloc=4.6MB, time=135.96 x[1] = 0.59 y[1] (analytic) = 0.331752263073663047070690589422 y[1] (numeric) = 0.33175226398824070583551035896843 absolute error = 9.1457765876481976954643e-10 relative error = 2.7568091029472338846747207009163e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.591 y[1] (analytic) = 0.33200574107995479788801747394968 y[1] (numeric) = 0.3320057419953383000022521968927 absolute error = 9.1538350211423472294302e-10 relative error = 2.7571315457879049972478363265779e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.592 y[1] (analytic) = 0.33225931279529470656259023605769 y[1] (numeric) = 0.33225931371148431938496086874293 absolute error = 9.1618961282237063268524e-10 relative error = 2.7574535236182709057053207738184e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.593 y[1] (analytic) = 0.3325129782151316019569436767997 y[1] (numeric) = 0.33251297913212759279682838941248 absolute error = 9.1699599083988471261278e-10 relative error = 2.7577750371193035089308135946243e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1468.7MB, alloc=4.6MB, time=136.11 x[1] = 0.594 y[1] (analytic) = 0.3327667373349129990500242292939 y[1] (numeric) = 0.33276673825271563516744268826236 absolute error = 9.1780263611741845896846e-10 relative error = 2.7580960869706644592093899994405e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.595 y[1] (analytic) = 0.33302059015008509938460764412636 y[1] (numeric) = 0.3330205910686946479902052998918 absolute error = 9.1860954860559765576544e-10 relative error = 2.7584166738507081953292966384910e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.596 y[1] (analytic) = 0.33327453665609279151477738643027 y[1] (numeric) = 0.33327453757550951976980976658883 absolute error = 9.1941672825503238015856e-10 relative error = 2.7587367984364849675098694683615e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.597 y[1] (analytic) = 0.33352857684837965145346364604506 y[1] (numeric) = 0.33352857776860382646978065386436 absolute error = 9.2022417501631700781930e-10 relative error = 2.7590564614037438541792743308018e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1472.5MB, alloc=4.6MB, time=136.27 x[1] = 0.598 y[1] (analytic) = 0.33378271072238794312004286217043 y[1] (numeric) = 0.33378271164341983196007308048478 absolute error = 9.2103188884003021831435e-10 relative error = 2.7593756634269357706271310021491e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.599 y[1] (analytic) = 0.33403693827355861878799766394186 y[1] (numeric) = 0.33403693919539848846473266443001 absolute error = 9.2183986967673500048815e-10 relative error = 2.7596944051792164695581024509038e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.6 y[1] (analytic) = 0.3342912594973313195326371283665 y[1] (numeric) = 0.33429126041997943700961578621558 absolute error = 9.2264811747697865784908e-10 relative error = 2.7600126873324495335704037954897e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.601 y[1] (analytic) = 0.33454567438914437567887725706966 y[1] (numeric) = 0.33454567531260100787017007102923 absolute error = 9.2345663219129281395957e-10 relative error = 2.7603305105572093595848686909263e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1476.3MB, alloc=4.6MB, time=136.42 x[1] = 0.602 y[1] (analytic) = 0.3348001829444348072490815733147 y[1] (numeric) = 0.33480018386870022101927499114435 absolute error = 9.2426541377019341782965e-10 relative error = 2.7606478755227841352478799576083e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.603 y[1] (analytic) = 0.33505478515863832441096174076994 y[1] (numeric) = 0.33505478608371278657514249008448 absolute error = 9.2507446216418074931454e-10 relative error = 2.7609647828971788073346178186716e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.604 y[1] (analytic) = 0.33530948102718932792553810550903 y[1] (numeric) = 0.33530948195307310524927753002499 absolute error = 9.2588377732373942451596e-10 relative error = 2.7612812333471180421762392741705e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.605 y[1] (analytic) = 0.33556427054552090959516006274296 y[1] (numeric) = 0.33556427147221426879449846393004 absolute error = 9.2669335919933840118708e-10 relative error = 2.7615972275380491781352382988947e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1480.1MB, alloc=4.6MB, time=136.58 x[1] = 0.606 y[1] (analytic) = 0.33581915370906485271158614979366 y[1] (numeric) = 0.33581915463656806045301713393489 absolute error = 9.2750320774143098414123e-10 relative error = 2.7619127661341451701537490074578e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.607 y[1] (analytic) = 0.33607413051325163250412376683117 y[1] (numeric) = 0.33607413144156495540457859749575 absolute error = 9.2831332290045483066458e-10 relative error = 2.7622278497983075263997353284859e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.608 y[1] (analytic) = 0.33632920095351041658782842690902 y[1] (numeric) = 0.33632920188263412121466038284127 absolute error = 9.2912370462683195593225e-10 relative error = 2.7625424791921692370336930811857e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.609 y[1] (analytic) = 0.33658436502526906541176243684358 y[1] (numeric) = 0.33658436595520341828273117527201 absolute error = 9.2993435287096873842843e-10 relative error = 2.7628566549760976951217440685136e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1483.9MB, alloc=4.6MB, time=136.73 x[1] = 0.61 y[1] (analytic) = 0.33683962272395413270731291049606 y[1] (numeric) = 0.33683962365469940029056883586626 absolute error = 9.3074526758325592537020e-10 relative error = 2.7631703778091976097182658657514e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.611 y[1] (analytic) = 0.33709497404499086593656901602791 y[1] (numeric) = 0.33709497497654731465063765416286 absolute error = 9.3155644871406863813495e-10 relative error = 2.7634836483493139111417466094806e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.612 y[1] (analytic) = 0.33735041898380320674075835871198 y[1] (numeric) = 0.33735041991617110295452473640375 absolute error = 9.3236789621376637769177e-10 relative error = 2.7637964672530346484688664731725e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.613 y[1] (analytic) = 0.33760595753581379138874240089486 y[1] (numeric) = 0.33760595846899340142143543093129 absolute error = 9.3317961003269303003643e-10 relative error = 2.7641088351756938792694970325190e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1487.7MB, alloc=4.6MB, time=136.88 x[1] = 0.614 y[1] (analytic) = 0.3378615896964439512255708207175 y[1] (numeric) = 0.33786159063043554134674769234766 absolute error = 9.3399159012117687163016e-10 relative error = 2.7644207527713745516069808384369e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.615 y[1] (analytic) = 0.33811731546111371312109471121363 y[1] (numeric) = 0.33811731639591754955062528605591 absolute error = 9.3480383642953057484228e-10 relative error = 2.7647322206929113783274948569600e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.616 y[1] (analytic) = 0.33837313482524179991863852141832 y[1] (numeric) = 0.33837313576085814882668973481462 absolute error = 9.3561634890805121339630e-10 relative error = 2.7650432395918937036609483922493e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.617 y[1] (analytic) = 0.33862904778424563088373064113035 y[1] (numeric) = 0.33862904872067475839075090895054 absolute error = 9.3642912750702026782019e-10 relative error = 2.7653538101186683621589811815202e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.618 y[1] (analytic) = 0.33888505433354132215289253098587 y[1] (numeric) = 0.33888505527078349432959616188581 absolute error = 9.3724217217670363089994e-10 relative error = 2.7656639329223425299908717445213e-07 % Correct digits = 8 h = 0.001 memory used=1491.5MB, alloc=4.6MB, time=137.04 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.619 y[1] (analytic) = 0.3391411544685436871824862995118 y[1] (numeric) = 0.33914115540659917004983791264903 absolute error = 9.3805548286735161313723e-10 relative error = 2.7659736086507865686231140125721e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.62 y[1] (analytic) = 0.33939734818466623719762062884119 y[1] (numeric) = 0.33939734912353529672681957705183 absolute error = 9.3886905952919894821064e-10 relative error = 2.7662828379506368609042300034558e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.621 y[1] (analytic) = 0.33965363547732118164111495078437 y[1] (numeric) = 0.33965363641700408375357974922501 absolute error = 9.3968290211246479844064e-10 relative error = 2.7665916214672986395787014298821e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.622 y[1] (analytic) = 0.33991001634191942862252177496267 y[1] (numeric) = 0.33991001728241643918987453522107 absolute error = 9.4049701056735276025840e-10 relative error = 2.7668999598449488082532309393494e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1495.4MB, alloc=4.6MB, time=137.19 x[1] = 0.623 y[1] (analytic) = 0.340166490773870585367207070724 y[1] (numeric) = 0.34016649171518197021125794040233 absolute error = 9.4131138484405086967833e-10 relative error = 2.7672078537265387548380815926840e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.624 y[1] (analytic) = 0.3404230587685829586654886045724 y[1] (numeric) = 0.34042305971070898355822021234658 absolute error = 9.4212602489273160777418e-10 relative error = 2.7675153037537971574859308717554e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.625 y[1] (analytic) = 0.34067972032146355532183213485565 y[1] (numeric) = 0.34067972126440448598538404101482 absolute error = 9.4294093066355190615917e-10 relative error = 2.7678223105672327830524784977998e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.626 y[1] (analytic) = 0.34093647542791808260410536546866 y[1] (numeric) = 0.34093647637167418471075851793831 absolute error = 9.4375610210665315246965e-10 relative error = 2.7681288748061372781001155964541e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1499.2MB, alloc=4.6MB, time=137.35 x[1] = 0.627 y[1] (analytic) = 0.34119332408335094869288956034228 y[1] (numeric) = 0.34119332502792248786505075619488 absolute error = 9.4457153917216119585260e-10 relative error = 2.7684349971085879524682676007976e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.628 y[1] (analytic) = 0.34145026628316526313084872050047 y[1] (numeric) = 0.34145026722855250494103507295722 absolute error = 9.4538724181018635245675e-10 relative error = 2.7687406781114505554323878752843e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.629 y[1] (analytic) = 0.34170730202276283727215622548098 y[1] (numeric) = 0.34170730296896604724297963640863 absolute error = 9.4620320997082341092765e-10 relative error = 2.7690459184503820444751150667097e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.63 y[1] (analytic) = 0.34196443129754418473197884092828 y[1] (numeric) = 0.34196443224456362833613047883459 absolute error = 9.4701944360415163790631e-10 relative error = 2.7693507187598333466909479999139e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1503.0MB, alloc=4.6MB, time=137.50 x[1] = 0.631 y[1] (analytic) = 0.34222165410290852183601799417973 y[1] (numeric) = 0.34222165505074446449625277771124 absolute error = 9.4783594266023478353151e-10 relative error = 2.7696550796730521128471243939257e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.632 y[1] (analytic) = 0.34247897043425376807010821967873 y[1] (numeric) = 0.34247897138290647515922930662488 absolute error = 9.4865270708912108694615e-10 relative error = 2.7699590018220854641240997290586e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.633 y[1] (analytic) = 0.34273638028697654652987267606251 y[1] (numeric) = 0.34273638123644628337071595786948 absolute error = 9.4946973684084328180697e-10 relative error = 2.7702624858377827315559054414743e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.634 y[1] (analytic) = 0.34299388365647218437043563678383 y[1] (numeric) = 0.34299388460675921623585423858211 absolute error = 9.5028703186541860179828e-10 relative error = 2.7705655323497981881944207273499e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1506.8MB, alloc=4.6MB, time=137.65 x[1] = 0.635 y[1] (analytic) = 0.34325148053813471325619185613998 y[1] (numeric) = 0.34325148148923930536904064228923 absolute error = 9.5110459211284878614925e-10 relative error = 2.7708681419865937740183298179993e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.636 y[1] (analytic) = 0.34350917092735686981063271259471 y[1] (numeric) = 0.34350917187927928734375279774979 absolute error = 9.5192241753312008515508e-10 relative error = 2.7711703153754418136097106532105e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.637 y[1] (analytic) = 0.34376695481953009606622903129245 y[1] (numeric) = 0.34376695577227060414243229699419 absolute error = 9.5274050807620326570174e-10 relative error = 2.7714720531424277266192875368611e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.638 y[1] (analytic) = 0.34402483221004453991437048767652 y[1] (numeric) = 0.34402483316360340360642410447113 absolute error = 9.5355886369205361679461e-10 relative error = 2.7717733559124527310431712864678e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1510.6MB, alloc=4.6MB, time=137.80 x[1] = 0.639 y[1] (analytic) = 0.34428280309428905555536149413701 y[1] (numeric) = 0.34428280404866653988597244922768 absolute error = 9.5437748433061095509067e-10 relative error = 2.7720742243092365393318549688462e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.64 y[1] (analytic) = 0.34454086746765120394847347162636 y[1] (numeric) = 0.34454086842284757389027310206093 absolute error = 9.5519636994179963043457e-10 relative error = 2.7723746589553200473541388028623e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.641 y[1] (analytic) = 0.34479902532551725326205340819431 y[1] (numeric) = 0.34479902628153277373758193959275 absolute error = 9.5601552047552853139844e-10 relative error = 2.7726746604720680162372149733735e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.642 y[1] (analytic) = 0.34505727666327217932368860640737 y[1] (numeric) = 0.3450572776201071152053796972326 absolute error = 9.5683493588169109082523e-10 relative error = 2.7729742294796717471038689824638e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1514.4MB, alloc=4.6MB, time=137.96 x[1] = 0.643 y[1] (analytic) = 0.34531562147629966607042752163038 y[1] (numeric) = 0.34531562243395428218059281300639 absolute error = 9.5765461611016529137601e-10 relative error = 2.7732733665971517487295377683358e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.644 y[1] (analytic) = 0.34557405975998210599905659316193 y[1] (numeric) = 0.34557406071845666710987026424279 absolute error = 9.5847456111081367108086e-10 relative error = 2.7735720724423603981395692315838e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.645 y[1] (analytic) = 0.34583259150970060061643297022819 y[1] (numeric) = 0.34583259246899537144991629912172 absolute error = 9.5929477083348332889353e-10 relative error = 2.7738703476319845941685517306923e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.646 y[1] (analytic) = 0.34609121672083496088987303485331 y[1] (numeric) = 0.34609121768095020611787896510309 absolute error = 9.6011524522800593024978e-10 relative error = 2.7741681927815484040027262597690e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1518.2MB, alloc=4.6MB, time=138.11 x[1] = 0.647 y[1] (analytic) = 0.34634993538876370769759662363775 y[1] (numeric) = 0.34634993634969969194179433626729 absolute error = 9.6093598424419771262954e-10 relative error = 2.7744656085054157027270873341997e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.648 y[1] (analytic) = 0.34660874750886407227922685048952 y[1] (numeric) = 0.34660874847062106011108634161227 absolute error = 9.6175698783185949112275e-10 relative error = 2.7747625954167928058978963252654e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.649 y[1] (analytic) = 0.34686765307651199668634543236689 y[1] (numeric) = 0.34686765403909025262712209636568 absolute error = 9.6257825594077666399879e-10 relative error = 2.7750591541277310951614057825520e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.65 y[1] (analytic) = 0.34712665208708213423310342010399 y[1] (numeric) = 0.34712665305048192275382263838388 absolute error = 9.6339978852071921827989e-10 relative error = 2.7753552852491296369409061122085e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.651 memory used=1522.1MB, alloc=4.6MB, time=138.26 y[1] (analytic) = 0.34738574453594784994688723640524 y[1] (numeric) = 0.34738574550016943546832897172326 absolute error = 9.6422158552144173531802e-10 relative error = 2.7756509893907377942115660454381e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.652 y[1] (analytic) = 0.34764493041848122101903992310718 y[1] (numeric) = 0.34764493138352486791172331948285 absolute error = 9.6504364689268339637567e-10 relative error = 2.7759462671611578313850935880809e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.653 y[1] (analytic) = 0.34790420973005303725563749982058 y[1] (numeric) = 0.34790421069591900983980548803077 absolute error = 9.6586597258416798821019e-10 relative error = 2.7762411191678475123240393802530e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.654 y[1] (analytic) = 0.3481635824660328015283203360788 y[1] (numeric) = 0.34816358343272136407392424474077 absolute error = 9.6668856254560390866197e-10 relative error = 2.7765355460171226915072516840940e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.655 y[1] (analytic) = 0.34842304862178873022517943913232 y[1] (numeric) = 0.34842304958930014695186361137874 absolute error = 9.6751141672668417224642e-10 relative error = 2.7768295483141598983669988316101e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1525.9MB, alloc=4.6MB, time=138.42 x[1] = 0.656 y[1] (analytic) = 0.34868260819268775370169755954337 y[1] (numeric) = 0.34868260916102228877878397529275 absolute error = 9.6833453507708641574938e-10 relative error = 2.7771231266629989148172593407112e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.657 y[1] (analytic) = 0.34894226117409551673174501674755 y[1] (numeric) = 0.34894226214325343427821792057398 absolute error = 9.6915791754647290382643e-10 relative error = 2.7774162816665453459950238716101e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.658 y[1] (analytic) = 0.3492020075613763789586301467635 y[1] (numeric) = 0.34920200853135794304312068136957 absolute error = 9.6998156408449053460607e-10 relative error = 2.7777090139265731842349439537887e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.659 y[1] (analytic) = 0.34946184734989341534620427424616 y[1] (numeric) = 0.34946184832069888998697511954237 absolute error = 9.7080547464077084529621e-10 relative error = 2.7780013240437273662960772087726e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1529.7MB, alloc=4.6MB, time=138.57 x[1] = 0.66 y[1] (analytic) = 0.34972178053500841663002111109146 y[1] (numeric) = 0.34972178150663806579495112888626 absolute error = 9.7162964916493001779480e-10 relative error = 2.7782932126175263238633940696527e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.661 y[1] (analytic) = 0.34998180711208188976855048381579 y[1] (numeric) = 0.34998180808453597737511936811966 absolute error = 9.7245408760656888430387e-10 relative error = 2.7785846802463645273421708976616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.662 y[1] (analytic) = 0.35024192707647305839444629194636 y[1] (numeric) = 0.35024192804975184830971922489373 absolute error = 9.7327878991527293294737e-10 relative error = 2.7788757275275150229665362723688e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.663 y[1] (analytic) = 0.35050214042353986326586859967291 y[1] (numeric) = 0.35050214139764361930648091306574 absolute error = 9.7410375604061231339283e-10 relative error = 2.7791663550571319632423068915880e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1533.5MB, alloc=4.6MB, time=138.72 x[1] = 0.664 y[1] (analytic) = 0.35076244714863896271785976302536 y[1] (numeric) = 0.35076244812356794865000160550195 absolute error = 9.7492898593214184247659e-10 relative error = 2.7794565634302531307434116095265e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.665 y[1] (analytic) = 0.35102284724712573311377449485569 y[1] (numeric) = 0.3510228482228802126531755046885 absolute error = 9.7575447953940100983281e-10 relative error = 2.7797463532408024552824492662246e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.666 y[1] (analytic) = 0.35128334071435426929676376991662 y[1] (numeric) = 0.3512833416909345061086777534427 absolute error = 9.7658023681191398352608e-10 relative error = 2.7800357250815925244747448727426e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.667 y[1] (analytic) = 0.35154392754567738504131247234344 y[1] (numeric) = 0.35154392852308364274050208803134 absolute error = 9.7740625769918961568790e-10 relative error = 2.7803246795443270877164847645363e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1537.3MB, alloc=4.6MB, time=138.88 x[1] = 0.668 y[1] (analytic) = 0.35180460773644661350483068785973 y[1] (numeric) = 0.3518046087146791556555521360165 absolute error = 9.7823254215072144815677e-10 relative error = 2.7806132172196035535959334456091e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.669 y[1] (analytic) = 0.35206538128201220767929854304177 y[1] (numeric) = 0.35206538226107129779528626116382 absolute error = 9.7905909011598771812205e-10 relative error = 2.7809013386969154807578656347904e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.67 y[1] (analytic) = 0.35232624817772314084296449399064 y[1] (numeric) = 0.35232624915760904238741585776198 absolute error = 9.7988590154445136377134e-10 relative error = 2.7811890445646550622401143206283e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.671 y[1] (analytic) = 0.35258720841892710701209696677489 y[1] (numeric) = 0.35258720939964008339765699671671 absolute error = 9.8071297638556002994182e-10 relative error = 2.7814763354101156033030307354716e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1541.1MB, alloc=4.6MB, time=139.03 x[1] = 0.672 y[1] (analytic) = 0.35284826200097052139278925202148 y[1] (numeric) = 0.35284826298251083598153532579661 absolute error = 9.8154031458874607377513e-10 relative error = 2.7817632118194939927701416355544e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.673 y[1] (analytic) = 0.35310940891919852083281755604647 y[1] (numeric) = 0.35310940990156643693624412642245 absolute error = 9.8236791610342657037598e-10 relative error = 2.7820496743778931678999582722332e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.674 y[1] (analytic) = 0.35337064916895496427355211093148 y[1] (numeric) = 0.35337065015215074515255542940594 absolute error = 9.8319578087900331847446e-10 relative error = 2.7823357236693245728082003448087e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.675 y[1] (analytic) = 0.3536319827455824332019212459661 y[1] (numeric) = 0.35363198372960634206678409205826 absolute error = 9.8402390886486284609216e-10 relative error = 2.7826213602767106104600295391194e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1545.0MB, alloc=4.6MB, time=139.19 x[1] = 0.676 y[1] (analytic) = 0.35389340964442223210242832289127 y[1] (numeric) = 0.35389341062927453211280473910298 absolute error = 9.8485230001037641621171e-10 relative error = 2.7829065847818870882504077242518e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.677 y[1] (analytic) = 0.35415492986081438890922143739221 y[1] (numeric) = 0.35415493084649534317412146984255 absolute error = 9.8568095426490003245034e-10 relative error = 2.7831913977656056571934321872437e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.678 y[1] (analytic) = 0.35441654339009765545821578930474 y[1] (numeric) = 0.35441654437660752703599023404171 absolute error = 9.8650987157777444473697e-10 relative error = 2.7834757998075362447383504301621e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.679 y[1] (analytic) = 0.35467825022760950793926862401305 y[1] (numeric) = 0.35467825121494855983759377900599 absolute error = 9.8733905189832515499294e-10 relative error = 2.7837597914862694812315927948093e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1548.8MB, alloc=4.6MB, time=139.34 x[1] = 0.68 y[1] (analytic) = 0.35494005036868614734840664753099 y[1] (numeric) = 0.35494005135685464252426907034761 absolute error = 9.8816849517586242281662e-10 relative error = 2.7840433733793191200444617220497e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.681 y[1] (analytic) = 0.35520194380866249994010581777442 y[1] (numeric) = 0.35520194479766070129978708894595 absolute error = 9.8899820135968127117153e-10 relative error = 2.7843265460631244513843314895883e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.682 y[1] (analytic) = 0.35546393054287221767962341454586 y[1] (numeric) = 0.35546393153270038807868490662407 absolute error = 9.8982817039906149207821e-10 relative error = 2.7846093101130527098088710921330e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.683 y[1] (analytic) = 0.35572601056664767869538229076764 y[1] (numeric) = 0.35572601155730608093864994307757 absolute error = 9.9065840224326765230993e-10 relative error = 2.7848916661034014754623140987436e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1552.6MB, alloc=4.6MB, time=139.50 x[1] = 0.684 y[1] (analytic) = 0.35598818387531998773140720751474 y[1] (numeric) = 0.35598818486680888457295630660658 absolute error = 9.9148889684154909909184e-10 relative error = 2.7851736146074010690513584554307e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.685 y[1] (analytic) = 0.35625045046421897659981315541245 y[1] (numeric) = 0.35625045145653863074295312121634 absolute error = 9.9231965414313996580389e-10 relative error = 2.7854551561972169405802722531170e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.686 y[1] (analytic) = 0.35651281032867320463334556497901 y[1] (numeric) = 0.35651281132182387873060474266669 absolute error = 9.9315067409725917768768e-10 relative error = 2.7857362914439520518642367080844e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.687 y[1] (analytic) = 0.35677526346400995913797230850871 y[1] (numeric) = 0.3567752644579919157910827660653 absolute error = 9.9398195665311045755659e-10 relative error = 2.7860170209176492528376223995492e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.688 y[1] (analytic) = 0.35703780986555525584552739610449 y[1] (numeric) = 0.3570378108603687576054097276144 absolute error = 9.9481350175988233150991e-10 relative error = 2.7862973451872936516776806725060e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1556.4MB, alloc=4.6MB, time=139.65 x[1] = 0.689 y[1] (analytic) = 0.35730044952863383936640626848502 y[1] (numeric) = 0.35730045052427914873315440313554 absolute error = 9.9564530936674813465052e-10 relative error = 2.7865772648208149787607839060420e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.69 y[1] (analytic) = 0.35756318244856918364231258920535 y[1] (numeric) = 0.35756318344504656306517860601167 absolute error = 9.9647737942286601680632e-10 relative error = 2.7868567803850899444701120930116e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.691 y[1] (analytic) = 0.35782600862068349239905643894556 y[1] (numeric) = 0.3578260096179932042764353872008 absolute error = 9.9730971187737894825524e-10 relative error = 2.7871358924459445908725845495330e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.692 y[1] (analytic) = 0.35808892804029769959940381453626 y[1] (numeric) = 0.35808892903844000627881853999036 absolute error = 9.9814230667941472545410e-10 relative error = 2.7874146015681566372840060304011e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1560.2MB, alloc=4.6MB, time=139.81 x[1] = 0.693 y[1] (analytic) = 0.35835194070273146989597733540528 y[1] (numeric) = 0.35835194170170663367406331217624 absolute error = 9.9897516377808597677096e-10 relative error = 2.7876929083154578197395731888774e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.694 y[1] (analytic) = 0.35861504660330319908420806014432 y[1] (numeric) = 0.35861504760311148220669822836562 absolute error = 9.9980828312249016822130e-10 relative error = 2.7879708132505362243887845504342e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.695 y[1] (analytic) = 0.35887824573733001455533831590963 y[1] (numeric) = 0.35887824673797167921704792511748 absolute error = 1.00064166466170960920785e-09 relative error = 2.7882483169350386148322822309015e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.696 y[1] (analytic) = 0.35914153810012777574947544338601 y[1] (numeric) = 0.35914153910160308409428690164999 absolute error = 1.00147530834481145826398e-09 relative error = 2.7885254199295727534183469972352e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1564.0MB, alloc=4.6MB, time=139.96 x[1] = 0.697 y[1] (analytic) = 0.3594049236870110746086963600578 y[1] (numeric) = 0.35940492468932028872954408885874 absolute error = 1.00230921412084772880094e-09 relative error = 2.7888021227937097165177670817405e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.698 y[1] (analytic) = 0.35966840249329323603020284454632 y[1] (numeric) = 0.35966840349643661796905813940506 absolute error = 1.00314338193885529485874e-09 relative error = 2.7890784260859862037943465190705e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.699 y[1] (analytic) = 0.35993197451428631831952744478834 y[1] (numeric) = 0.35993197551826413006738334164885 absolute error = 1.00397781174785589686051e-09 relative error = 2.7893543303639068414884016072588e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.7 y[1] (analytic) = 0.36019563974530111364378991284437 y[1] (numeric) = 0.36019564075011361714064606021528 absolute error = 1.00481250349685614737091e-09 relative error = 2.7896298361839464797325640769848e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1567.8MB, alloc=4.6MB, time=140.11 x[1] = 0.701 y[1] (analytic) = 0.36045939818164714848500406914238 y[1] (numeric) = 0.36045939918729460561985160600015 absolute error = 1.00564745713484753685777e-09 relative error = 2.7899049441015524839152850122520e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.702 y[1] (analytic) = 0.36072324981863268409343499897601 y[1] (numeric) = 0.3607232508251153567042414384338 absolute error = 1.00648267261080643945779e-09 relative error = 2.7901796546711470201119621884700e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.703 y[1] (analytic) = 0.36098719465156471694100648409303 y[1] (numeric) = 0.36098719565888286681470060283875 absolute error = 1.00731814987369411874572e-09 relative error = 2.7904539684461293345996354123614e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.704 y[1] (analytic) = 0.36125123267574897917475857222442 y[1] (numeric) = 0.36125123368390286804721530573154 absolute error = 1.00815388887245673350712e-09 relative error = 2.7907278859788780274730277917752e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1571.7MB, alloc=4.6MB, time=140.26 x[1] = 0.705 y[1] (analytic) = 0.36151536388648993907035518741943 y[1] (numeric) = 0.36151536489547982862638053093459 absolute error = 1.00898988955602534351516e-09 relative error = 2.7910014078207533203806468355996e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.706 y[1] (analytic) = 0.36177958827909080148564168406865 y[1] (numeric) = 0.36177958928891695335895759937923 absolute error = 1.00982615187331591531058e-09 relative error = 2.7912745345220993183958899399932e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.707 y[1] (analytic) = 0.36204390584885350831425224751076 y[1] (numeric) = 0.36204390685951618408748157549645 absolute error = 1.01066267577322932798569e-09 relative error = 2.7915472666322462660429165589126e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.708 y[1] (analytic) = 0.36230831659107873893926704413532 y[1] (numeric) = 0.36230831760257820014391842310735 absolute error = 1.01149946120465137897203e-09 relative error = 2.7918196046995127974934998692593e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1575.5MB, alloc=4.6MB, time=140.42 x[1] = 0.709 y[1] (analytic) = 0.36257282050106591068691902390931 y[1] (numeric) = 0.3625728215134024188033718137407 absolute error = 1.01233650811645278983139e-09 relative error = 2.7920915492712081809512401793422e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.71 y[1] (analytic) = 0.36283741757411317928035027826977 y[1] (numeric) = 0.36283741858728699573783949032059 absolute error = 1.01317381645748921205082e-09 relative error = 2.7923631008936345572420331476226e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.711 y[1] (analytic) = 0.36310210780551743929341785634135 y[1] (numeric) = 0.36310210881952882547001908918254 absolute error = 1.01401138617660123284119e-09 relative error = 2.7926342601120891726266719751605e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.712 y[1] (analytic) = 0.3633668911905743246045489424528 y[1] (numeric) = 0.36336689220542354182716332339211 absolute error = 1.01484921722261438093931e-09 relative error = 2.7929050274708666058526515179030e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1579.3MB, alloc=4.6MB, time=140.57 x[1] = 0.713 y[1] (analytic) = 0.36363176772457820885064529794165 y[1] (numeric) = 0.36363176874026551839498443035558 absolute error = 1.01568730954433913241393e-09 relative error = 2.7931754035132609894630380978066e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.714 y[1] (analytic) = 0.36389673740282220588103687025278 y[1] (numeric) = 0.36389673841934786897160778672793 absolute error = 1.01652566309057091647515e-09 relative error = 2.7934453887815682253780364113051e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.715 y[1] (analytic) = 0.36416180022059817021148447235111 y[1] (numeric) = 0.3641618012379624480215745936389 absolute error = 1.01736427781009012128779e-09 relative error = 2.7937149838170881947676373256440e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.716 y[1] (analytic) = 0.36442695617319669747823143548582 y[1] (numeric) = 0.36442695719139985112989353527374 absolute error = 1.01820315365166209978792e-09 relative error = 2.7939841891601269622299612121294e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1583.1MB, alloc=4.6MB, time=140.73 x[1] = 0.717 y[1] (analytic) = 0.36469220525590712489210413835705 y[1] (numeric) = 0.3646922062749494154561413138609 absolute error = 1.01904229056403717550385e-09 relative error = 2.7942530053499989742956268544201e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.718 y[1] (analytic) = 0.3649575474640175316926613157548 y[1] (numeric) = 0.36495754848389922018861196413459 absolute error = 1.01988168849595064837979e-09 relative error = 2.7945214329250292522699329892857e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.719 y[1] (analytic) = 0.36522298279281473960239204975197 y[1] (numeric) = 0.36522298381353608699851485035609 absolute error = 1.02072134739612280060412e-09 relative error = 2.7947894724225555794348257680551e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.72 y[1] (analytic) = 0.36548851123758431328096234655285 y[1] (numeric) = 0.36548851225914558049422124899331 absolute error = 1.02156126721325890244046e-09 relative error = 2.7950571243789306826222791820665e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.721 y[1] (analytic) = 0.36575413279361056077951020211096 y[1] (numeric) = 0.36575413381601200867555942017414 absolute error = 1.02240144789604921806318e-09 relative error = 2.7953243893295244081801220230604e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1586.9MB, alloc=4.6MB, time=140.88 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.722 y[1] (analytic) = 0.36601984745617653399498905964891 y[1] (numeric) = 0.36601984847941842338815807104479 absolute error = 1.02324188939316901139588e-09 relative error = 2.7955912678087258923427673815842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.723 y[1] (analytic) = 0.36628565522056402912455956222642 y[1] (numeric) = 0.36628565624464662077783811418049 absolute error = 1.02408259165327855195407e-09 relative error = 2.7958577603499457260266408796700e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.724 y[1] (analytic) = 0.36655155608205358712002950352053 y[1] (numeric) = 0.36655155710697714174505262421156 absolute error = 1.02492355462502312069103e-09 relative error = 2.7961238674856181140638917468752e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.725 y[1] (analytic) = 0.3668175500359244941423418799965 y[1] (numeric) = 0.36681755106168927239937489584417 absolute error = 1.02576477825703301584767e-09 relative error = 2.7963895897472030288929490747226e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1590.7MB, alloc=4.6MB, time=141.03 x[1] = 0.726 y[1] (analytic) = 0.36708363707745478201611094766477 y[1] (numeric) = 0.36708363810406104451403450647076 absolute error = 1.02660626249792355880599e-09 relative error = 2.7966549276651883587210952296146e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.727 y[1] (analytic) = 0.36734981720192122868420618663559 y[1] (numeric) = 0.36734981822936923598050128658147 absolute error = 1.02744800729629509994588e-09 relative error = 2.7969198817690920501745621780267e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.728 y[1] (analytic) = 0.36761609040459935866238407669774 y[1] (numeric) = 0.36761609143288937126311710120373 absolute error = 1.02829001260073302450599e-09 relative error = 2.7971844525874642454543001272355e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.729 y[1] (analytic) = 0.36788245668076344349396758716548 y[1] (numeric) = 0.36788245770989572185377534561345 absolute error = 1.02913227835980775844797e-09 relative error = 2.7974486406478894140116159727769e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1594.5MB, alloc=4.6MB, time=141.19 x[1] = 0.73 y[1] (analytic) = 0.36814891602568650220457328425279 y[1] (numeric) = 0.36814891705566130672664805857724 absolute error = 1.02997480452207477432445e-09 relative error = 2.7977124464769884787607434349084e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.731 y[1] (analytic) = 0.36841546843464030175688595925075 y[1] (numeric) = 0.36841546946545789279296055640137 absolute error = 1.03081759103607459715062e-09 relative error = 2.7979758706004209368439637352674e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.732 y[1] (analytic) = 0.3686821139028953575054806807998 y[1] (numeric) = 0.36868211493455599535581349107935 absolute error = 1.03166063785033281027955e-09 relative error = 2.7982389135428869749656046342276e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.733 y[1] (analytic) = 0.36894885242572093365169217456523 y[1] (numeric) = 0.36894885345822487856505223584618 absolute error = 1.03250394491336006128095e-09 relative error = 2.7985015758281295793099983690303e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1598.4MB, alloc=4.6MB, time=141.34 x[1] = 0.734 y[1] (analytic) = 0.36921568399838504369853143363981 y[1] (numeric) = 0.36921568503173255587218350146364 absolute error = 1.03334751217365206782383e-09 relative error = 2.7987638579789366400604898448629e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.735 y[1] (analytic) = 0.36948260861615445090564946301481 y[1] (numeric) = 0.36948260965034579048533908657733 absolute error = 1.03419133957968962356252e-09 relative error = 2.7990257605171430505338206099001e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.736 y[1] (analytic) = 0.36974962627429466874434806147571 y[1] (numeric) = 0.36974962730933009582428666550236 absolute error = 1.03503542707993860402665e-09 relative error = 2.7992872839636328009472538410582e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.737 y[1] (analytic) = 0.37001673696806996135263754429671 y[1] (numeric) = 0.3700167380039497359754875168111 absolute error = 1.03587977462284997251439e-09 relative error = 2.7995484288383410668322310833036e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1602.2MB, alloc=4.6MB, time=141.49 x[1] = 0.738 y[1] (analytic) = 0.370283940692743343990341310123 y[1] (numeric) = 0.37028394172946772614720109611269 absolute error = 1.03672438215685978598969e-09 relative error = 2.7998091956602562921121997811755e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.739 y[1] (analytic) = 0.37055123744357658349424715544758 y[1] (numeric) = 0.37055123848114583312463635643044 absolute error = 1.03756924963038920098286e-09 relative error = 2.8000695849474222668584095666999e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.74 y[1] (analytic) = 0.37081862721583019873330524010483 y[1] (numeric) = 0.37081862825424457572514971959982 absolute error = 1.03841437699184447949499e-09 relative error = 2.8003295972169401997405626014467e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.741 y[1] (analytic) = 0.37108611000476346106387260722019 y[1] (numeric) = 0.37108611104402322525348960212603 absolute error = 1.03925976418961699490584e-09 relative error = 2.8005892329849707851868000179664e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1606.0MB, alloc=4.6MB, time=141.65 x[1] = 0.742 y[1] (analytic) = 0.37135368580563439478500416107132 y[1] (numeric) = 0.37135368684573980595708739895685 absolute error = 1.04010541117208323788553e-09 relative error = 2.8008484927667362652693464566527e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.743 y[1] (analytic) = 0.37162135461369977759379000633319 y[1] (numeric) = 0.37162135565465109548139482864287 absolute error = 1.04095131788760482230968e-09 relative error = 2.8011073770765224863302491251066e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.744 y[1] (analytic) = 0.37188911642421514104073905219562 y[1] (numeric) = 0.37188911746601262532526754337393 absolute error = 1.04179748428452849117831e-09 relative error = 2.8013658864276809503633775296408e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.745 y[1] (analytic) = 0.3721569712324347709852087848587 y[1] (numeric) = 0.37215697227507868129639490739703 absolute error = 1.04264391031118612253833e-09 relative error = 2.8016240213326308611675051885608e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1609.8MB, alloc=4.6MB, time=141.80 x[1] = 0.746 y[1] (analytic) = 0.3724249190336117080508811119282 y[1] (numeric) = 0.37242492007710230396677584733782 absolute error = 1.04349059591589473540962e-09 relative error = 2.8018817823028611652857036732629e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.747 y[1] (analytic) = 0.37269295982299774808128418224955 y[1] (numeric) = 0.37269296086733528912824067796429 absolute error = 1.04433754104695649571474e-09 relative error = 2.8021391698489325877463367616514e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.748 y[1] (analytic) = 0.37296109359584344259536008473571 y[1] (numeric) = 0.37296109464102818824801880694807 absolute error = 1.04518474565265872221236e-09 relative error = 2.8023961844804796626210262263403e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.749 y[1] (analytic) = 0.37322932034739809924307832976141 y[1] (numeric) = 0.3732293213934303089243522221955 absolute error = 1.04603220968127389243409e-09 relative error = 2.8026528267062127584138113485314e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1613.6MB, alloc=4.6MB, time=141.96 x[1] = 0.75 y[1] (analytic) = 0.37349764007290978226109501671205 y[1] (numeric) = 0.37349764111978971534215466533737 absolute error = 1.04687993308105964862532e-09 relative error = 2.8029090970339200982981698130549e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.751 y[1] (analytic) = 0.37376605276762531292845759129381 y[1] (numeric) = 0.37376605381535322872871639498302 absolute error = 1.04772791580025880368921e-09 relative error = 2.8031649959704697752145761377400e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.752 y[1] (analytic) = 0.37403455842679027002235509622675 y[1] (numeric) = 0.37403455947536642780945444336135 absolute error = 1.04857615778709934713460e-09 relative error = 2.8034205240218117618455959267116e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.753 y[1] (analytic) = 0.37430315704564899027391381896073 y[1] (numeric) = 0.37430315809507364926370826998823 absolute error = 1.04942465898979445102750e-09 relative error = 2.8036756816929799154824880722769e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1617.4MB, alloc=4.6MB, time=142.11 x[1] = 0.754 y[1] (analytic) = 0.37457184861944456882403824007041 y[1] (numeric) = 0.37457184966971798818058071601649 absolute error = 1.05027341935654247594608e-09 relative error = 2.8039304694880939777979377548491e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.755 y[1] (analytic) = 0.37484063314341885967929718600245 y[1] (numeric) = 0.37484063419454129851482416294191 absolute error = 1.05112243883552697693946e-09 relative error = 2.8041848879103615695405096224745e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.756 y[1] (analytic) = 0.37510951061281247616785508986527 y[1] (numeric) = 0.37510951166478419354277179935523 absolute error = 1.05197171737491670948996e-09 relative error = 2.8044389374620801801646514875440e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.757 y[1] (analytic) = 0.37537848102286479139544826396863 y[1] (numeric) = 0.37537848207568604631831389944756 absolute error = 1.05282125492286563547893e-09 relative error = 2.8046926186446391524112614103232e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.758 y[1] (analytic) = 0.37564754436881393870140608783691 y[1] (numeric) = 0.37564754542248499012891901699328 absolute error = 1.05367105142751292915637e-09 relative error = 2.8049459319585216618540208544641e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1621.2MB, alloc=4.6MB, time=142.26 x[1] = 0.759 y[1] (analytic) = 0.37591670064589681211471701543773 y[1] (numeric) = 0.37591670170041791895169999855179 absolute error = 1.05452110683698298311406e-09 relative error = 2.8051988779033066914253421589617e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.76 y[1] (analytic) = 0.37618594984934906681013930538423 y[1] (numeric) = 0.37618595090472048790952471964649 absolute error = 1.05537142109938541426226e-09 relative error = 2.8054514569776710009366390711582e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.761 y[1] (analytic) = 0.37645529197440511956435637788631 y[1] (numeric) = 0.37645529303062711372717144769639 absolute error = 1.05622199416281506981008e-09 relative error = 2.8057036696793910916076870097487e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.762 y[1] (analytic) = 0.37672472701629814921217670224378 y[1] (numeric) = 0.37672472807337097518752873549315 absolute error = 1.05707282597535203324937e-09 relative error = 2.8059555165053451656191273504048e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1625.1MB, alloc=4.6MB, time=142.42 x[1] = 0.763 y[1] (analytic) = 0.37699425497026009710277811869074 y[1] (numeric) = 0.37699425602818401358783974903319 absolute error = 1.05792391648506163034245e-09 relative error = 2.8062069979515150807033719420921e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.764 y[1] (analytic) = 0.37726387583152166755599649841898 y[1] (numeric) = 0.37726387689029693319599093353208 absolute error = 1.05877526563999443511310e-09 relative error = 2.8064581145129882997867267073506e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.765 y[1] (analytic) = 0.37753358959531232831865864562395 y[1] (numeric) = 0.37753359065493920170684492146538 absolute error = 1.05962687338818627584143e-09 relative error = 2.8067088666839598356986937759158e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.766 y[1] (analytic) = 0.37780339625686031102095934543541 y[1] (numeric) = 0.37780339731733905069861758649755 absolute error = 1.06047873967765824106214e-09 relative error = 2.8069592549577341909614176025208e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1628.9MB, alloc=4.6MB, time=142.57 x[1] = 0.767 y[1] (analytic) = 0.37807329581139261163288246161109 y[1] (numeric) = 0.37807329687272347608929914717776 absolute error = 1.06133086445641668556667e-09 relative error = 2.8072092798267272926748200904732e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.768 y[1] (analytic) = 0.37834328825413499092066598789025 y[1] (numeric) = 0.37834328931631823859311922429884 absolute error = 1.06218324767245323640859e-09 relative error = 2.8074589417824684225098763881670e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.769 y[1] (analytic) = 0.37861337358031197490331095692002 y[1] (numeric) = 0.37861337464334786417705575583293 absolute error = 1.06303588927374479891291e-09 relative error = 2.8077082413156021418259596072517e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.77 y[1] (analytic) = 0.37888355178514685530913411068608 y[1] (numeric) = 0.37888355284903564451738767337482 absolute error = 1.06388878920825356268874e-09 relative error = 2.8079571789158902119248273864314e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1632.7MB, alloc=4.6MB, time=142.72 x[1] = 0.771 y[1] (analytic) = 0.37915382286386169003236423639567 y[1] (numeric) = 0.37915382392860363745629124404139 absolute error = 1.06474194742392700764572e-09 relative error = 2.8082057550722135094563971737448e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.772 y[1] (analytic) = 0.37942418681167730358978207177906 y[1] (numeric) = 0.37942418787727266745847998179301 absolute error = 1.06559536386869791001395e-09 relative error = 2.8084539702725739369895866650755e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.773 y[1] (analytic) = 0.37969464362381328757740368379277 y[1] (numeric) = 0.37969464469026232606788803216029 absolute error = 1.06644903849048434836752e-09 relative error = 2.8087018250040963287624289717915e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.774 y[1] (analytic) = 0.37996519329548800112720722472533 y[1] (numeric) = 0.37996519436279097236439693437707 absolute error = 1.06730297123718970965174e-09 relative error = 2.8089493197530303516256253512830e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1636.5MB, alloc=4.6MB, time=142.88 x[1] = 0.775 y[1] (analytic) = 0.38023583582191857136390296972442 y[1] (numeric) = 0.38023583689007573342060566493811 absolute error = 1.06815716205670269521369e-09 relative error = 2.8091964550047524011923893908831e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.776 y[1] (analytic) = 0.38050657119832089386174653978074 y[1] (numeric) = 0.38050657226733250475864386661752 absolute error = 1.06901161089689732683678e-09 relative error = 2.8094432312437674932102093627903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.777 y[1] (analytic) = 0.38077739941990963310139521422309 y[1] (numeric) = 0.38077740048977595080702816700159 absolute error = 1.06986631770563295277850e-09 relative error = 2.8096896489537111501661348159208e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.778 y[1] (analytic) = 0.38104832048189822292680723679541 y[1] (numeric) = 0.38104832155261950535756149060734 absolute error = 1.07072128243075425381193e-09 relative error = 2.8099357086173512831408089888144e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1640.3MB, alloc=4.6MB, time=143.03 x[1] = 0.779 y[1] (analytic) = 0.38131933437949886700218401940485 y[1] (numeric) = 0.38131933545107537202227526867577 absolute error = 1.07157650502009124927092e-09 relative error = 2.8101814107165900689246848417276e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.78 y[1] (analytic) = 0.38159044110792253926895514764792 y[1] (numeric) = 0.38159044218035452469041445074652 absolute error = 1.07243198542145930309860e-09 relative error = 2.8104267557324658224091644388786e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.781 y[1] (analytic) = 0.38186164066237898440280609223866 y[1] (numeric) = 0.38186164173566670798546522213845 absolute error = 1.07328772358265912989979e-09 relative error = 2.8106717441451548642677454343383e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.782 y[1] (analytic) = 0.38213293303807671827074853048149 y[1] (numeric) = 0.38213293411222043772222533147823 absolute error = 1.07414371945147680099674e-09 relative error = 2.8109163764339733839392227196874e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1644.1MB, alloc=4.6MB, time=143.19 x[1] = 0.783 y[1] (analytic) = 0.38240431823022302838823318194854 y[1] (numeric) = 0.38240431930522300136391693243715 absolute error = 1.07499997297568375048861e-09 relative error = 2.8111606530773792979275207201344e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.784 y[1] (analytic) = 0.38267579623402397437630506253945 y[1] (numeric) = 0.38267579730988045847934184385386 absolute error = 1.07585648410303678131441e-09 relative error = 2.8114045745529741034308790006284e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.785 y[1] (analytic) = 0.38294736704468438841880106111931 y[1] (numeric) = 0.38294736812139764120007913243885 absolute error = 1.07671325278127807131954e-09 relative error = 2.8116481413375047273141712832996e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.786 y[1] (analytic) = 0.38321903065740787571958974294825 y[1] (numeric) = 0.38321903173497815467772492227432 absolute error = 1.07757027895813517932607e-09 relative error = 2.8118913539068653704380925768560e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1648.0MB, alloc=4.6MB, time=143.34 x[1] = 0.787 y[1] (analytic) = 0.38349078706739681495985328413463 y[1] (numeric) = 0.38349078814582437754117433534096 absolute error = 1.07842756258132105120633e-09 relative error = 2.8121342127360993473574175373307e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.788 y[1] (analytic) = 0.38376263626985235875541144136086 y[1] (numeric) = 0.38376263734913746235394546732115 absolute error = 1.07928510359853402596029e-09 relative error = 2.8123767182994009214028677897444e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.789 y[1] (analytic) = 0.38403457825997443411408746114977 y[1] (numeric) = 0.38403457934011733607154530294619 absolute error = 1.08014290195745784179642e-09 relative error = 2.8126188710701171351590188769174e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.79 y[1] (analytic) = 0.38430661303296174289311583295685 y[1] (numeric) = 0.38430661411396270049887747517296 absolute error = 1.08100095760576164221611e-09 relative error = 2.8128606715207496363516541964974e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.791 y[1] (analytic) = 0.38457874058401176225659179039202 y[1] (numeric) = 0.38457874166587103274769177249371 absolute error = 1.08185927049109998210169e-09 relative error = 2.8131021201229564991578255436573e-07 % Correct digits = 8 h = 0.001 memory used=1651.8MB, alloc=4.6MB, time=143.50 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.792 y[1] (analytic) = 0.38485096090832074513296246489252 y[1] (numeric) = 0.38485096199103858569407529870058 absolute error = 1.08271784056111283380806e-09 relative error = 2.8133432173475540409517589376099e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.793 y[1] (analytic) = 0.38512327400108372067255959618689 y[1] (numeric) = 0.38512327508466038843598518944467 absolute error = 1.08357666776342559325778e-09 relative error = 2.8135839636645186344992865672026e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.794 y[1] (analytic) = 0.38539567985749449470517370390777 y[1] (numeric) = 0.3853956809419302467508227899476 absolute error = 1.08443575204564908603983e-09 relative error = 2.8138243595429885156143799053611e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.795 y[1] (analytic) = 0.38566817847274565019766962472971 y[1] (numeric) = 0.38566817955804074355304919824159 absolute error = 1.08529509335537957351188e-09 relative error = 2.8140644054512655862903546377004e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1655.6MB, alloc=4.6MB, time=143.65 x[1] = 0.796 y[1] (analytic) = 0.38594076984202854771164331942631 y[1] (numeric) = 0.38594077092818323935184207833249 absolute error = 1.08615469164019875890618e-09 relative error = 2.8143041018568172133189781950814e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.797 y[1] (analytic) = 0.38621345396053332586111985425927 y[1] (numeric) = 0.38621345504754787270879364769819 absolute error = 1.08701454684767379343892e-09 relative error = 2.8145434492262780224099942188083e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.798 y[1] (analytic) = 0.38648623082344890177029246113009 y[1] (numeric) = 0.3864862319113235606956497435533 absolute error = 1.08787465892535728242321e-09 relative error = 2.8147824480254516878243152109123e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.799 y[1] (analytic) = 0.38675910042596297153130258094356 y[1] (numeric) = 0.38675910151469799935208987232918 absolute error = 1.08873502782078729138562e-09 relative error = 2.8150210987193127175335481042364e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1659.4MB, alloc=4.6MB, time=143.81 x[1] = 0.8 y[1] (analytic) = 0.38703206276326201066206079465046 y[1] (numeric) = 0.38703206385285766414354814683678 absolute error = 1.08959565348148735218632e-09 relative error = 2.8152594017720082339187355412387e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.801 y[1] (analytic) = 0.38730511783053127456410854645534 y[1] (numeric) = 0.38730511892098781041907501559804 absolute error = 1.09045653585496646914270e-09 relative error = 2.8154973576468597500207409026949e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.802 y[1] (analytic) = 0.38757826562295479898052056369358 y[1] (numeric) = 0.38757826671427247386923968885013 absolute error = 1.09131767488871912515655e-09 relative error = 2.8157349668063649413551819939622e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.803 y[1] (analytic) = 0.38785150613571540045384787790022 y[1] (numeric) = 0.38785150722789447098407316574502 absolute error = 1.09217907053022528784480e-09 relative error = 2.8159722297121994133045701028238e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1663.2MB, alloc=4.6MB, time=143.97 x[1] = 0.804 y[1] (analytic) = 0.38812483936399467678410135161161 y[1] (numeric) = 0.38812484045703539951105176728555 absolute error = 1.09304072272695041567394e-09 relative error = 2.8162091468252184641005797057061e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.805 y[1] (analytic) = 0.38839826530297300748677561545967 y[1] (numeric) = 0.38839826639687563891312107955749 absolute error = 1.09390263142634546409782e-09 relative error = 2.8164457186054588434082505222183e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.806 y[1] (analytic) = 0.38867178394782955425091332013649 y[1] (numeric) = 0.3886717850425943508267602118356 absolute error = 1.09476479657584689169911e-09 relative error = 2.8166819455121405065253799074932e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.807 y[1] (analytic) = 0.38894539529374226139720960782624 y[1] (numeric) = 0.38894539638936947952008627416036 absolute error = 1.09562721812287666633412e-09 relative error = 2.8169178280036683642088281123962e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1667.0MB, alloc=4.6MB, time=144.12 x[1] = 0.808 y[1] (analytic) = 0.38921909933588785633615670771895 y[1] (numeric) = 0.38921910043237775235099897900052 absolute error = 1.09648989601484227128157e-09 relative error = 2.8171533665376340281417098757021e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.809 y[1] (analytic) = 0.38949289606944185002622856024068 y[1] (numeric) = 0.38949289716679468022536527163515 absolute error = 1.09735283019913671139447e-09 relative error = 2.8173885615708175520517259384482e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.81 y[1] (analytic) = 0.38976678548957853743210537465194 y[1] (numeric) = 0.38976678658779455805524389390773 absolute error = 1.09821602062313851925579e-09 relative error = 2.8176234135591891684947602275500e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.811 y[1] (analytic) = 0.39004076759147099798293802468567 y[1] (numeric) = 0.39004076869055046521714978602323 absolute error = 1.09907946723421176133756e-09 relative error = 2.8178579229579110213151526249263e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1670.8MB, alloc=4.6MB, time=144.27 x[1] = 0.812 y[1] (analytic) = 0.39031484237029109603065218691434 y[1] (numeric) = 0.390314843470234266010358231078 absolute error = 1.09994316997970604416366e-09 relative error = 2.8180920902213388937956114231949e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.813 y[1] (analytic) = 0.39058900982120948130829212655489 y[1] (numeric) = 0.3905890109220166101152486470309 absolute error = 1.10080712880695652047601e-09 relative error = 2.8183259158030239325082783582541e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.814 y[1] (analytic) = 0.39086326993939558938840403543861 y[1] (numeric) = 0.39086327104106693305168793084297 absolute error = 1.10167134366328389540436e-09 relative error = 2.8185594001557143668796777255255e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.815 y[1] (analytic) = 0.39113762272001764214145882689209 y[1] (numeric) = 0.39113762382255345663745325953161 absolute error = 1.10253581449599443263952e-09 relative error = 2.8187925437313572244813187601802e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1674.7MB, alloc=4.6MB, time=144.43 x[1] = 0.816 y[1] (analytic) = 0.39141206815824264819431429229368 y[1] (numeric) = 0.39141206926164318944669425290412 absolute error = 1.10340054125237996061044e-09 relative error = 2.8190253469811000420591401084115e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.817 y[1] (analytic) = 0.39168660624923640338871652408991 y[1] (numeric) = 0.39168660735350192726843440275424 absolute error = 1.10426552387971787866433e-09 relative error = 2.8192578103552925723118258241124e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.818 y[1] (analytic) = 0.39196123698816349123984051007362 y[1] (numeric) = 0.39196123809329425356511167332436 absolute error = 1.10513076232527116325074e-09 relative error = 2.8194899343034884864324089940819e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.819 y[1] (analytic) = 0.39223596037018728339486980374561 y[1] (numeric) = 0.3922359614761835399311581778547 absolute error = 1.10599625653628837410909e-09 relative error = 2.8197217192744470724238816477331e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1678.5MB, alloc=4.6MB, time=144.58 x[1] = 0.82 y[1] (analytic) = 0.39251077639046994009161517560053 y[1] (numeric) = 0.39251077749733194655161883605997 absolute error = 1.10686200646000366045944e-09 relative error = 2.8199531657161349292002628552061e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.821 y[1] (analytic) = 0.39278568504417241061717215019561 y[1] (numeric) = 0.39278568615190042266080891739281 absolute error = 1.10772801204363676719720e-09 relative error = 2.8201842740757276564868584620902e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.822 y[1] (analytic) = 0.39306068632645443376661733388128 y[1] (numeric) = 0.39306068743504870700101037497241 absolute error = 1.10859427323439304109113e-09 relative error = 2.8204150447996115405299632378729e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.823 y[1] (analytic) = 0.39333578023247453830174343809077 y[1] (numeric) = 0.39333578134193532828120687507566 absolute error = 1.10946078997946343698489e-09 relative error = 2.8206454783333852356285410727286e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1682.3MB, alloc=4.6MB, time=144.73 x[1] = 0.824 y[1] (analytic) = 0.39361096675739004340983290310503 y[1] (numeric) = 0.39361096786771760563585742710724 absolute error = 1.11032756222602452400221e-09 relative error = 2.8208755751218614414998946099792e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.825 y[1] (analytic) = 0.39388624589635705916247002722881 y[1] (numeric) = 0.39388624700755164908370851898422 absolute error = 1.11119458992123849175541e-09 relative error = 2.8211053356090685764904338214602e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.826 y[1] (analytic) = 0.39416161764453048697439150633211 y[1] (numeric) = 0.39416161875659235998664466288979 absolute error = 1.11206187301225315655768e-09 relative error = 2.8213347602382524466443444894786e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.827 y[1] (analytic) = 0.39443708199706402006237528873118 y[1] (numeric) = 0.39443708310999343150857725636992 absolute error = 1.11292941144620196763874e-09 relative error = 2.8215638494518779106409114565072e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.828 y[1] (analytic) = 0.39471263894911014390416765040192 y[1] (numeric) = 0.39471264006290734907437166376581 absolute error = 1.11379720517020401336389e-09 relative error = 2.8217926036916305406122076620587e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1686.1MB, alloc=4.6MB, time=144.88 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.829 y[1] (analytic) = 0.3949882884958201366974483955375 y[1] (numeric) = 0.39498828961048539082881242299445 absolute error = 1.11466525413136402745695e-09 relative error = 2.8220210233984182788540632168095e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.83 y[1] (analytic) = 0.39526403063234406981883408748222 y[1] (numeric) = 0.39526403174787762809560648270855 absolute error = 1.11553355827677239522633e-09 relative error = 2.8222491090123730904399969175526e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.831 y[1] (analytic) = 0.39553986535383080828291921509169 y[1] (numeric) = 0.39553986647023292583642437488659 absolute error = 1.11640211755350515979490e-09 relative error = 2.8224768609728526117513817632471e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.832 y[1] (analytic) = 0.39581579265542801120135519958977 y[1] (numeric) = 0.39581579377269894310997922792288 absolute error = 1.11727093190862402833311e-09 relative error = 2.8227042797184417949339875522236e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1689.9MB, alloc=4.6MB, time=145.04 x[1] = 0.833 y[1] (analytic) = 0.39609181253228213224196714701102 y[1] (numeric) = 0.39609181365042213353114352530699 absolute error = 1.11814000128917637829597e-09 relative error = 2.8229313656869545482939433741281e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.834 y[1] (analytic) = 0.39636792497953842008790825133799 y[1] (numeric) = 0.3963679260985477457301035150011 absolute error = 1.11900932564219526366311e-09 relative error = 2.8231581193154353726426108585665e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.835 y[1] (analytic) = 0.39664412999234091889685175346048 y[1] (numeric) = 0.39664413111221982381155117464335 absolute error = 1.11987890491469942118287e-09 relative error = 2.8233845410401609936041952316756e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.836 y[1] (analytic) = 0.39692042756583246876022036110528 y[1] (numeric) = 0.39692042868658120781391363772463 absolute error = 1.12074873905369327661935e-09 relative error = 2.8236106312966419898947824345668e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1693.7MB, alloc=4.6MB, time=145.19 x[1] = 0.837 y[1] (analytic) = 0.39719681769515470616245303490227 y[1] (numeric) = 0.39719681881677353416861998590565 absolute error = 1.12161882800616695100338e-09 relative error = 2.8238363905196244175865802798082e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.838 y[1] (analytic) = 0.39747330037544806444030904577385 y[1] (numeric) = 0.39747330149793723615940531266066 absolute error = 1.12248917171909626688681e-09 relative error = 2.8240618191430914303671673511162e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.839 y[1] (analytic) = 0.39774987560185177424220920885334 y[1] (numeric) = 0.39774987672521154438165196345369 absolute error = 1.12335977013944275460035e-09 relative error = 2.8242869176002648958056126345801e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.84 y[1] (analytic) = 0.39802654336950386398761419915775 y[1] (numeric) = 0.39802654449373448720176785767268 absolute error = 1.12423062321415365851493e-09 relative error = 2.8245116863236070076366366739622e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1697.5MB, alloc=4.6MB, time=145.35 x[1] = 0.841 y[1] (analytic) = 0.39830330367354116032643985425993 y[1] (numeric) = 0.39830330479864289121660179756647 absolute error = 1.12510173089016194330654e-09 relative error = 2.8247361257448218940739247353446e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.842 y[1] (analytic) = 0.3985801565090992885985093692247 y[1] (numeric) = 0.39858015763507238171289566944918 absolute error = 1.12597309311438630022448e-09 relative error = 2.8249602362948572221635922612895e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.843 y[1] (analytic) = 0.39885710187131267329304228909279 y[1] (numeric) = 0.39885710299815738312677344245616 absolute error = 1.12684470983373115336337e-09 relative error = 2.8251840184039057981898215057166e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.844 y[1] (analytic) = 0.39913413975531453850818020421691 y[1] (numeric) = 0.39913414088303111950326687015529 absolute error = 1.12771658099508666593838e-09 relative error = 2.8254074725014071641424182888403e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1701.4MB, alloc=4.6MB, time=145.50 x[1] = 0.845 y[1] (analytic) = 0.39941127015623690841054905377312 y[1] (numeric) = 0.39941127128482561495587780033722 absolute error = 1.12858870654532874656410e-09 relative error = 2.8256305990160491902584137483144e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.846 y[1] (analytic) = 0.39968849306921060769485794279084 y[1] (numeric) = 0.39968849419867169412617699832763 absolute error = 1.12946108643131905553679e-09 relative error = 2.8258533983757696636480937880362e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.847 y[1] (analytic) = 0.39996580848936526204353437806414 y[1] (numeric) = 0.39996580961969898264343938918457 absolute error = 1.13033372059990501112043e-09 relative error = 2.8260758710077578730175078091471e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.848 y[1] (analytic) = 0.40024321641182929858639582832777 y[1] (numeric) = 0.40024321754303590758431562416354 absolute error = 1.13120660899791979583577e-09 relative error = 2.8262980173384561894964195772843e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1705.2MB, alloc=4.6MB, time=145.65 x[1] = 0.849 y[1] (analytic) = 0.40052071683172994636035751409953 y[1] (numeric) = 0.40052071796380969793253987685287 absolute error = 1.13207975157218236275334e-09 relative error = 2.8265198377935616435850338206552e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.85 y[1] (analytic) = 0.40079830974419323676917633261207 y[1] (numeric) = 0.40079831087714638503867377440169 absolute error = 1.13295314826949744178962e-09 relative error = 2.8267413327980274982283930995125e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.851 y[1] (analytic) = 0.40107599514434400404323082327583 y[1] (numeric) = 0.40107599627817080307988636928277 absolute error = 1.13382679903665554600694e-09 relative error = 2.8269625027760648180307319874305e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.852 y[1] (analytic) = 0.40135377302730588569933707913555 y[1] (numeric) = 0.40135377416200658951977005705223 absolute error = 1.13470070382043297791668e-09 relative error = 2.8271833481511440346195418810615e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1709.0MB, alloc=4.6MB, time=145.80 x[1] = 0.853 y[1] (analytic) = 0.40163164338820132300060050980221 y[1] (numeric) = 0.40163164452377618556819234558824 absolute error = 1.13557486256759183578603e-09 relative error = 2.8274038693459965081707895387027e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.854 y[1] (analytic) = 0.40190960622215156141630336136231 y[1] (numeric) = 0.40190960735860083664118338131056 absolute error = 1.13644927522488001994825e-09 relative error = 2.8276240667826160851058986267660e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.855 y[1] (analytic) = 0.40218766152427665108182789878643 y[1] (numeric) = 0.40218766266160059282085913790291 absolute error = 1.13732394173903123911648e-09 relative error = 2.8278439408822606519713439749139e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.856 y[1] (analytic) = 0.40246580928969544725861515637934 y[1] (numeric) = 0.40246581042789430931538017308011 absolute error = 1.13819886205676501670077e-09 relative error = 2.8280634920654536855107295811728e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1712.8MB, alloc=4.6MB, time=145.96 x[1] = 0.857 y[1] (analytic) = 0.40274404951352561079415916183304 y[1] (numeric) = 0.40274405065259964691894585896193 absolute error = 1.13907403612478669712889e-09 relative error = 2.8282827207519857989414021085834e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.858 y[1] (analytic) = 0.40302238219088360858203653946523 y[1] (numeric) = 0.40302238333083307247182399163571 absolute error = 1.13994946388978745217048e-09 relative error = 2.8285016273609162844451291104181e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.859 y[1] (analytic) = 0.40330080731688471402197139824514 y[1] (numeric) = 0.40330080845770985932041568550983 absolute error = 1.14082514529844428726469e-09 relative error = 2.8287202123105746518838067535863e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.86 y[1] (analytic) = 0.40357932488664300747993541022911 y[1] (numeric) = 0.40357932602834408777735545808037 absolute error = 1.14170108029742004785126e-09 relative error = 2.8289384760185621637506308606504e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.861 y[1] (analytic) = 0.4038579348952713767482829850481 y[1] (numeric) = 0.40385793603784864558164641075322 absolute error = 1.14257726883336342570512e-09 relative error = 2.8291564189017533663674544637664e-07 % Correct digits = 8 h = 0.001 memory used=1716.6MB, alloc=4.6MB, time=146.11 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.862 y[1] (analytic) = 0.40413663733788151750592144610994 y[1] (numeric) = 0.40413663848133522835883041138439 absolute error = 1.14345371085290896527445e-09 relative error = 2.8293740413762976173386744607644e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.863 y[1] (analytic) = 0.40441543220958393377851611419893 y[1] (numeric) = 0.40441543335391434008119318422114 absolute error = 1.14433040630267707002221e-09 relative error = 2.8295913438576206092721308985457e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.864 y[1] (analytic) = 0.40469431950548793839873020417592 y[1] (numeric) = 0.4046943206506952935280042129471 absolute error = 1.14520735512927400877118e-09 relative error = 2.8298083267604258897775435416148e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.865 y[1] (analytic) = 0.40497329922070165346649944050219 y[1] (numeric) = 0.40497330036678621074579136255456 absolute error = 1.14608455727929192205237e-09 relative error = 2.8300249904986963777525326192185e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1720.4MB, alloc=4.6MB, time=146.26 x[1] = 0.866 y[1] (analytic) = 0.40525237135033201080934129733064 y[1] (numeric) = 0.40525237249729402350865012578758 absolute error = 1.14696201269930882845694e-09 relative error = 2.8302413354856958759669308469092e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.867 y[1] (analytic) = 0.40553153588948475244269876892822 y[1] (numeric) = 0.40553153703732447377858739991987 absolute error = 1.14783972133588863099165e-09 relative error = 2.8304573621339705799557634850573e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.868 y[1] (analytic) = 0.40581079283326443103031857621394 y[1] (numeric) = 0.40581079398198211416589969965163 absolute error = 1.14871768313558112343769e-09 relative error = 2.8306730708553505832308216084189e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.869 y[1] (analytic) = 0.40609014217677441034466371521704 y[1] (numeric) = 0.40609014332637030838958571193005 absolute error = 1.14959589804492199671301e-09 relative error = 2.8308884620609513788213883834471e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1724.2MB, alloc=4.6MB, time=146.42 x[1] = 0.87 y[1] (analytic) = 0.40636958391511686572736025328051 y[1] (numeric) = 0.40636958506559123173779309851856 absolute error = 1.15047436601043284523805e-09 relative error = 2.8311035361611753571541029617867e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.871 y[1] (analytic) = 0.40664911804339278454967827885527 y[1] (numeric) = 0.40664911919474587152829945216029 absolute error = 1.15135308697862117330502e-09 relative error = 2.8313182935657133002825306667855e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.872 y[1] (analytic) = 0.40692874455670196667304691075114 y[1] (numeric) = 0.40692874570893402756902731220179 absolute error = 1.15223206089598040145065e-09 relative error = 2.8315327346835458724764089537300e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.873 y[1] (analytic) = 0.4072084634501430249096032727312 y[1] (numeric) = 0.40720846460325431261859314556339 absolute error = 1.15311128770898987283219e-09 relative error = 2.8317468599229451071801640604304e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1728.1MB, alloc=4.6MB, time=146.57 x[1] = 0.874 y[1] (analytic) = 0.40748827471881338548277533935619 y[1] (numeric) = 0.40748827587280415284689019896333 absolute error = 1.15399076736411485960714e-09 relative error = 2.8319606696914758903519823401262e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.875 y[1] (analytic) = 0.40776817835780928848789855900688 y[1] (numeric) = 0.40776817951267978829570512832313 absolute error = 1.15487049980780656931625e-09 relative error = 2.8321741643959974401923769348417e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.876 y[1] (analytic) = 0.40804817436222578835286616003236 y[1] (numeric) = 0.40804817551797627333936831130239 absolute error = 1.15575048498650215127003e-09 relative error = 2.8323873444426647832728806234075e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.877 y[1] (analytic) = 0.40832826272715675429881304599313 y[1] (numeric) = 0.40832826388378747714543774893184 absolute error = 1.15663072284662470293871e-09 relative error = 2.8326002102369302270747263344073e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1731.9MB, alloc=4.6MB, time=146.73 x[1] = 0.878 y[1] (analytic) = 0.40860844344769487080083318598825 y[1] (numeric) = 0.40860844460520608413541646233392 absolute error = 1.15751121333458327634567e-09 relative error = 2.8328127621835448289475421143403e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.879 y[1] (analytic) = 0.408888716518931638048730406077 y[1] (numeric) = 0.40888871767732359444550329054116 absolute error = 1.15839195639677288446416e-09 relative error = 2.8330250006865598614975667554941e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.88 y[1] (analytic) = 0.40916908193595737240780248782517 y[1] (numeric) = 0.40916908309523032438737699544294 absolute error = 1.15927295197957450761777e-09 relative error = 2.8332369261493282744164277692089e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.881 y[1] (analytic) = 0.4094495396938612068796584800283 y[1] (numeric) = 0.40944954085401540690901357991235 absolute error = 1.16015420002935509988405e-09 relative error = 2.8334485389745061527588974097235e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1735.7MB, alloc=4.6MB, time=146.88 x[1] = 0.882 y[1] (analytic) = 0.40973008978773109156306912968358 y[1] (numeric) = 0.40973009094876679205553672518528 absolute error = 1.16103570049246759550170e-09 relative error = 2.8336598395640541716805090760039e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.883 y[1] (analytic) = 0.41001073221265379411485033830369 y[1] (numeric) = 0.41001073337457124743010125358485 absolute error = 1.16191745331525091528116e-09 relative error = 2.8338708283192390476444410483968e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.884 y[1] (analytic) = 0.41029146696371490021077954968632 y[1] (numeric) = 0.4102914681265143586548095227051 absolute error = 1.16279945844402997301878e-09 relative error = 2.8340815056406349861078991949915e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.885 y[1] (analytic) = 0.41057229403599881400654497527451 y[1] (numeric) = 0.41057229519968052983166065718862 absolute error = 1.16368171582511568191411e-09 relative error = 2.8342918719281251256966385364737e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1739.5MB, alloc=4.6MB, time=147.03 x[1] = 0.886 y[1] (analytic) = 0.41085321342458875859872756326269 y[1] (numeric) = 0.41085321458915298400353252425373 absolute error = 1.16456422540480496099104e-09 relative error = 2.8345019275809029788791356671593e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.887 y[1] (analytic) = 0.41113422512456677648581561762574 y[1] (numeric) = 0.41113422629001376361519635914771 absolute error = 1.16544698712938074152197e-09 relative error = 2.8347116729974738691481139079769e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.888 y[1] (analytic) = 0.41141532913101373002925197326779 y[1] (numeric) = 0.41141533029734373097436394672353 absolute error = 1.16633000094511197345574e-09 relative error = 2.8349211085756563647208712438990e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.889 y[1] (analytic) = 0.41169652543900930191451363350975 y[1] (numeric) = 0.41169652660622256871276726535845 absolute error = 1.16721326679825363184870e-09 relative error = 2.8351302347125837087665421457955e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1743.3MB, alloc=4.6MB, time=147.18 x[1] = 0.89 y[1] (analytic) = 0.41197781404363199561222377615436 y[1] (numeric) = 0.41197781521172878024727049945391 absolute error = 1.16809678463504672329955e-09 relative error = 2.8353390518047052461714367433116e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.891 y[1] (analytic) = 0.41225919493995913583929603438979 y[1] (numeric) = 0.41225919610893969024101432677703 absolute error = 1.16898055440171829238724e-09 relative error = 2.8355475602477878468503121537938e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.892 y[1] (analytic) = 0.41254066812306686902011095881275 y[1] (numeric) = 0.41254066929293144506459238692527 absolute error = 1.16986457604448142811252e-09 relative error = 2.8357557604369173256145615816562e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.893 y[1] (analytic) = 0.4128222335880301637477245668737 y[1] (numeric) = 0.41282223475877901325725983721664 absolute error = 1.17074884950953527034294e-09 relative error = 2.8359636527664998586063556157108e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1747.1MB, alloc=4.6MB, time=147.34 x[1] = 0.894 y[1] (analytic) = 0.4131038913299228112451088860681 y[1] (numeric) = 0.4131038925015561859881739023292 absolute error = 1.17163337474306501626110e-09 relative error = 2.8361712376302633963077431988308e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.895 y[1] (analytic) = 0.4133856413438174258264243972181 y[1] (numeric) = 0.41338564251633557751766632403453 absolute error = 1.17251815169124192681643e-09 relative error = 2.8363785154212590731348540244229e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.896 y[1] (analytic) = 0.41366748362478544535832428421069 y[1] (numeric) = 0.41366748479818862565854761739106 absolute error = 1.17340318030022333318037e-09 relative error = 2.8365854865318626136263198773172e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.897 y[1] (analytic) = 0.41394941816789713172129039657933 y[1] (numeric) = 0.41394941934218559223744303978443 absolute error = 1.17428846051615264320510e-09 relative error = 2.8367921513537757352356812642588e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.898 y[1] (analytic) = 0.41423144496822157127100083133772 y[1] (numeric) = 0.41423144614339556355616017922309 absolute error = 1.17517399228515934788537e-09 relative error = 2.8369985102780275477360660388700e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1751.0MB, alloc=4.6MB, time=147.49 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.899 y[1] (analytic) = 0.41451356402082667529972904049475 y[1] (numeric) = 0.41451356519688645085308806831878 absolute error = 1.17605977555335902782403e-09 relative error = 2.8372045636949759492479366373849e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.9 y[1] (analytic) = 0.41479577532077918049777437070183 y[1] (numeric) = 0.41479577649772499076462773040268 absolute error = 1.17694581026685335970085e-09 relative error = 2.8374103119943090188982307155259e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.901 y[1] (analytic) = 0.41507807886314464941492394150452 y[1] (numeric) = 0.41507808004097674578665406424935 absolute error = 1.17783209637173012274483e-09 relative error = 2.8376157555650464061206660722417e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.902 y[1] (analytic) = 0.41536047464298747092194576869213 y[1] (numeric) = 0.4153604758217061047360089739019 absolute error = 1.17871863381406320520977e-09 relative error = 2.8378208947955407166059140742523e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1754.8MB, alloc=4.6MB, time=147.64 x[1] = 0.903 y[1] (analytic) = 0.41564296265537086067211303925983 y[1] (numeric) = 0.41564296383497628321202565011325 absolute error = 1.17960542253991261085342e-09 relative error = 2.8380257300734788949116433601795e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.904 y[1] (analytic) = 0.41592554289535686156275944451969 y[1] (numeric) = 0.41592554407584932405808390993966 absolute error = 1.18049246249532446541997e-09 relative error = 2.8382302617858836037410564146153e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.905 y[1] (analytic) = 0.41620821535800634419686547791824 y[1] (numeric) = 0.41620821653938609782319650104407 absolute error = 1.18137975362633102312583e-09 relative error = 2.8384344903191145998989727444396e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.906 y[1] (analytic) = 0.41649098003837900734467560413942 y[1] (numeric) = 0.41649098122064630322362627728843 absolute error = 1.18226729587895067314901e-09 relative error = 2.8386384160588701069353489978712e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1758.6MB, alloc=4.6MB, time=147.80 x[1] = 0.907 y[1] (analytic) = 0.41677383693153337840534620609357 y[1] (numeric) = 0.41677383811468846760453415221542 absolute error = 1.18315508919918794612185e-09 relative error = 2.8388420393901881844847503577108e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.908 y[1] (analytic) = 0.41705678603252681386862421641476 y[1] (numeric) = 0.41705678721656994740165773704166 absolute error = 1.18404313353303352062690e-09 relative error = 2.8390453606974480943103824822008e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.909 y[1] (analytic) = 0.41733982733641549977655634010924 y[1] (numeric) = 0.41733982852134692860302056980591 absolute error = 1.18493142882646422969667e-09 relative error = 2.8392483803643716630634721910502e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.91 y[1] (analytic) = 0.41762296083825445218522877502098 y[1] (numeric) = 0.41762296202407442721067184233738 absolute error = 1.18581997502544306731640e-09 relative error = 2.8394510987740246417649883361894e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1762.4MB, alloc=4.6MB, time=147.95 x[1] = 0.911 y[1] (analytic) = 0.41790618653309751762653733680058 y[1] (numeric) = 0.41790618771980628970245653173079 absolute error = 1.18670877207591919493021e-09 relative error = 2.8396535163088180620195728195995e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.912 y[1] (analytic) = 0.41818950441599737356998789508559 y[1] (numeric) = 0.41818950560359519349381584303657 absolute error = 1.18759781992382794795098e-09 relative error = 2.8398556333505095889714952960085e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.913 y[1] (analytic) = 0.4184729144820055288845270276227 y[1] (numeric) = 0.41847291567049264739961786989601 absolute error = 1.18848711851509084227331e-09 relative error = 2.8400574502802048710100231921500e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.914 y[1] (analytic) = 0.41875641672617232430040279908308 y[1] (numeric) = 0.41875641791554899209601837987302 absolute error = 1.18937666779561558078994e-09 relative error = 2.8402589674783588862340391315367e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1766.2MB, alloc=4.6MB, time=148.10 x[1] = 0.915 y[1] (analytic) = 0.41904001114354693287105557134409 y[1] (numeric) = 0.41904001233381340058235163125579 absolute error = 1.19026646771129605991170e-09 relative error = 2.8404601853247772856849655997370e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.916 y[1] (analytic) = 0.41932369772917736043503875203274 y[1] (numeric) = 0.41932369892033387864305112812332 absolute error = 1.19115651820801237609058e-09 relative error = 2.8406611041986177333558836380856e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.917 y[1] (analytic) = 0.41960747647811044607796938814715 y[1] (numeric) = 0.41960747767015726530960022049364 absolute error = 1.19204681923163083234649e-09 relative error = 2.8408617244783912429870458146573e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.918 y[1] (analytic) = 0.41989134738539186259450851159505 y[1] (numeric) = 0.41989134857832923332251245639221 absolute error = 1.19293737072800394479716e-09 relative error = 2.8410620465419635116552817471332e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1770.0MB, alloc=4.6MB, time=148.25 x[1] = 0.919 y[1] (analytic) = 0.42017531044606611695037114350925 y[1] (numeric) = 0.42017531163989428959334159270084 absolute error = 1.19382817264297044919159e-09 relative error = 2.8412620707665562501670591439287e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.92 y[1] (analytic) = 0.42045936565517655074436586422267 y[1] (numeric) = 0.42045936684989577566672117166937 absolute error = 1.19471922492235530744670e-09 relative error = 2.8414617975287485102631234261008e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.921 y[1] (analytic) = 0.42074351300776534067046385580646 y[1] (numeric) = 0.42074351420337586818243356999408 absolute error = 1.19561052751196971418762e-09 relative error = 2.8416612272044780086444941468488e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.922 y[1] (analytic) = 0.42102775249887349897989732409775 y[1] (numeric) = 0.42102775369537557933750842738876 absolute error = 1.19650208035761110329101e-09 relative error = 2.8418603601690424478270699845765e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1773.8MB, alloc=4.6MB, time=148.41 x[1] = 0.923 y[1] (analytic) = 0.42131208412354087394328720716426 y[1] (numeric) = 0.42131208532093475734835036159637 absolute error = 1.19739388340506315443211e-09 relative error = 2.8420591967971008338351844585990e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.924 y[1] (analytic) = 0.42159650787680615031280007717607 y[1] (numeric) = 0.42159650907509208691289587681095 absolute error = 1.19828593660009579963488e-09 relative error = 2.8422577374626747907412404353614e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.925 y[1] (analytic) = 0.42188102375370684978433414267588 y[1] (numeric) = 0.42188102495288508967279937250166 absolute error = 1.19917823988846522982578e-09 relative error = 2.8424559825391498720613537874898e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.926 y[1] (analytic) = 0.42216563174927933145973425826208 y[1] (numeric) = 0.42216563294935012467564815965264 absolute error = 1.20007079321591390139056e-09 relative error = 2.8426539323992768690141078907344e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1777.7MB, alloc=4.6MB, time=148.56 x[1] = 0.927 y[1] (analytic) = 0.42245033185855879230903584871969 y[1] (numeric) = 0.42245033305952238883720639145448 absolute error = 1.20096359652817054273479e-09 relative error = 2.8428515874151731156527215840987e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.928 y[1] (analytic) = 0.42273512407657926763273765465766 y[1] (numeric) = 0.4227351252784359174036878155052 absolute error = 1.20185664977095016084754e-09 relative error = 2.8430489479583237908777750252374e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.929 y[1] (analytic) = 0.42302000839837363152410320673207 y[1] (numeric) = 0.42302000960112358441405725460062 absolute error = 1.20274995288995404786855e-09 relative error = 2.8432460143995832173398176361121e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.93 y[1] (analytic) = 0.42330498481897359733149093555758 y[1] (numeric) = 0.42330498602261710316236072321614 absolute error = 1.20364350583086978765856e-09 relative error = 2.8434427871091761572395690505161e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1781.5MB, alloc=4.6MB, time=148.72 x[1] = 0.931 y[1] (analytic) = 0.42359005333340971812071282443101 y[1] (numeric) = 0.4235900545379470266600840868042 absolute error = 1.20453730853937126237319e-09 relative error = 2.8436392664566991050351018621830e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.932 y[1] (analytic) = 0.42387521393671138713742151201343 y[1] (numeric) = 0.42387521514214274809854017105362 absolute error = 1.20543136096111865904019e-09 relative error = 2.8438354528111215770640192888090e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.933 y[1] (analytic) = 0.42416046662390683826952575213956 y[1] (numeric) = 0.4241604678302325013112842282795 absolute error = 1.20632566304175847613994e-09 relative error = 2.8440313465407873980887587214300e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.934 y[1] (analytic) = 0.42444581139002314650963413794509 y[1] (numeric) = 0.42444581259724336123655766813435 absolute error = 1.20722021472692353018926e-09 relative error = 2.8442269480134159847735519261396e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.935 y[1] (analytic) = 0.42473124823008622841752699752466 y[1] (numeric) = 0.42473124943820124437975995985346 absolute error = 1.20811501596223296232880e-09 relative error = 2.8444222575961036261020406114943e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1785.3MB, alloc=4.6MB, time=148.87 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.936 y[1] (analytic) = 0.42501677713912084258265636835628 y[1] (numeric) = 0.42501677834813090927594861326983 absolute error = 1.20901006669329224491355e-09 relative error = 2.8446172756553247607427994455502e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.937 y[1] (analytic) = 0.4253023981121505900866739577493 y[1] (numeric) = 0.4253023993220559569523671458562 absolute error = 1.20990536686569318810690e-09 relative error = 2.8448120025569332513720915158200e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.938 y[1] (analytic) = 0.42558811114419791496598699659629 y[1] (numeric) = 0.42558811235499883139100094307414 absolute error = 1.21080091642501394647785e-09 relative error = 2.8450064386661636559612000849421e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.939 y[1] (analytic) = 0.4258739162302841046743418937308 y[1] (numeric) = 0.42587391744198081999116091933242 absolute error = 1.21169671531681902560162e-09 relative error = 2.8452005843476324960371864522359e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1789.1MB, alloc=4.6MB, time=149.03 x[1] = 0.94 y[1] (analytic) = 0.42615981336542929054543559821556 y[1] (numeric) = 0.42615981457802205403209488687938 absolute error = 1.21259276348665928866382e-09 relative error = 2.8453944399653395219256840986366e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.941 y[1] (analytic) = 0.42644580254465244825555457690862 y[1] (numeric) = 0.4264458037581415091356265399763 absolute error = 1.21348906088007196306768e-09 relative error = 2.8455880058826689749827644055513e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.942 y[1] (analytic) = 0.42673188376297139828624131467662 y[1] (numeric) = 0.42673188497735700572882196172134 absolute error = 1.21438560744258064704472e-09 relative error = 2.8457812824623908468249526075402e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.943 y[1] (analytic) = 0.42701805701540280638698824464719 y[1] (numeric) = 0.42701805823068520950668356091602 absolute error = 1.21528240311969531626883e-09 relative error = 2.8459742700666621355654826769402e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1792.9MB, alloc=4.6MB, time=149.18 x[1] = 0.944 y[1] (analytic) = 0.427304322296962184037959015915 y[1] (numeric) = 0.42730432351314163189487134638867 absolute error = 1.21617944785691233047367e-09 relative error = 2.8461669690570280990647148611738e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.945 y[1] (analytic) = 0.42759067960266388891273700613869 y[1] (numeric) = 0.4275906808197406305124514462119 absolute error = 1.21707674159971444007321e-09 relative error = 2.8463593797944235052024053848185e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.946 y[1] (analytic) = 0.42787712892752112534110098648758 y[1] (numeric) = 0.42787713014549540963467177927359 absolute error = 1.21797428429357079278601e-09 relative error = 2.8465515026391738791813182612397e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.947 y[1] (analytic) = 0.42816367026654594477182784642116 y[1] (numeric) = 0.42816367148541802065576478668359 absolute error = 1.21887207588393694026243e-09 relative error = 2.8467433379509967478683438187411e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1796.7MB, alloc=4.6MB, time=149.33 x[1] = 0.948 y[1] (analytic) = 0.42845030361474924623552228580542 y[1] (numeric) = 0.42845030483451936255177713052074 absolute error = 1.21977011631625484471532e-09 relative error = 2.8469348860890028811824483130086e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.949 y[1] (analytic) = 0.42873702896714077680747338189353 y[1] (numeric) = 0.42873703018780918234342626744768 absolute error = 1.22066840553595288555415e-09 relative error = 2.8471261474116975305373714535120e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.95 y[1] (analytic) = 0.42902384631872913207053793872105 y[1] (numeric) = 0.42902384754029607555898380474342 absolute error = 1.22156694348844586602237e-09 relative error = 2.8473171222769816643465684885318e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.951 y[1] (analytic) = 0.42931075566452175657805052648828 y[1] (numeric) = 0.42931075688698748669718554632633 absolute error = 1.22246573011913501983805e-09 relative error = 2.8475078110421532005984773797826e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1800.5MB, alloc=4.6MB, time=149.49 x[1] = 0.952 y[1] (analytic) = 0.42959775699952494431676011852514 y[1] (numeric) = 0.42959775822288970969016813636304 absolute error = 1.22336476537340801783790e-09 relative error = 2.8476982140639082365102830836719e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.953 y[1] (analytic) = 0.42988485031874383916979323345668 y[1] (numeric) = 0.4298848515430078883664322080813 absolute error = 1.22426404919663897462462e-09 relative error = 2.8478883316983422752679765869453e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.954 y[1] (analytic) = 0.43017203561718243537964349021023 y[1] (numeric) = 0.43017203684234601691383194542786 absolute error = 1.22516358153418845521763e-09 relative error = 2.8480781643009514498607153221186e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.955 y[1] (analytic) = 0.43045931288984357801118748352797 y[1] (numeric) = 0.43045931411590694034259096523492 absolute error = 1.22606336233140348170695e-09 relative error = 2.8482677122266337440168164702516e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1804.4MB, alloc=4.6MB, time=149.64 x[1] = 0.956 y[1] (analytic) = 0.43074668213172896341472688767126 y[1] (numeric) = 0.43074668335869235494834442758177 absolute error = 1.22696339153361753991051e-09 relative error = 2.8484569758296902102498775550433e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.957 y[1] (analytic) = 0.43103414333783913968905669602611 y[1] (numeric) = 0.43103414456570280877520728206101 absolute error = 1.22786366908615058603490e-09 relative error = 2.8486459554638261850228649886470e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.958 y[1] (analytic) = 0.43132169650317350714455950434245 y[1] (numeric) = 0.43132169773193770207886855768156 absolute error = 1.22876419493430905333911e-09 relative error = 2.8488346514821525010369208345424e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.959 y[1] (analytic) = 0.43160934162273031876632574536175 y[1] (numeric) = 0.43160934285239528778971160416363 absolute error = 1.22966496902338585880188e-09 relative error = 2.8490230642371866966540990078175e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1808.2MB, alloc=4.6MB, time=149.79 x[1] = 0.96 y[1] (analytic) = 0.43189707869150668067729978261141 y[1] (numeric) = 0.43189707992207267197596019240372 absolute error = 1.23056599129866040979231e-09 relative error = 2.8492111940808542224609649308558e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.961 y[1] (analytic) = 0.43218490770449855260145177116707 y[1] (numeric) = 0.43218490893596581430685038191069 absolute error = 1.23146726170539861074362e-09 relative error = 2.8493990413644896449805287640501e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.962 y[1] (analytic) = 0.43247282865670074832697519320667 y[1] (numeric) = 0.43247282988906952851582806303697 absolute error = 1.23236878018885286983030e-09 relative error = 2.8495866064388378475407695164372e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.963 y[1] (analytic) = 0.43276084154310693616950997620309 y[1] (numeric) = 0.43276084277637748286377208185184 absolute error = 1.23327054669426210564875e-09 relative error = 2.8497738896540552283076574868741e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1812.0MB, alloc=4.6MB, time=149.95 x[1] = 0.964 y[1] (analytic) = 0.43304894635870963943539110162602 y[1] (numeric) = 0.43304894759288220060224285552693 absolute error = 1.23417256116685175390091e-09 relative error = 2.8499608913597108954891724259145e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.965 y[1] (analytic) = 0.4333371430985002368849226120456 y[1] (numeric) = 0.43333714433357506043675638612701 absolute error = 1.23507482355183377408141e-09 relative error = 2.8501476119047878597191746308380e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.966 y[1] (analytic) = 0.43362543175746896319567692455443 y[1] (numeric) = 0.43362543299344629699008358072231 absolute error = 1.23597733379440665616788e-09 relative error = 2.8503340516376842236279040521262e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.967 y[1] (analytic) = 0.43391381233060490942581935844692 y[1] (numeric) = 0.43391381356748500126557478576169 absolute error = 1.23688009183975542731477e-09 relative error = 2.8505202109062143686075001080721e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1815.8MB, alloc=4.6MB, time=150.10 x[1] = 0.968 y[1] (analytic) = 0.43420228481289602347745778511896 y[1] (numeric) = 0.43420228605067912111050944366917 absolute error = 1.23778309763305165855021e-09 relative error = 2.8507060900576101387790190931331e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.969 y[1] (analytic) = 0.43449084919932911056001730817301 y[1] (numeric) = 0.43449085043801546167947077964938 absolute error = 1.23868635111945347147637e-09 relative error = 2.8508916894385220221695493425533e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.97 y[1] (analytic) = 0.43477950548488983365363988173794 y[1] (numeric) = 0.43477950672447968589774542671085 absolute error = 1.23958985224410554497291e-09 relative error = 2.8510770093950203291059948245294e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.971 y[1] (analytic) = 0.43506825366456271397260877503518 y[1] (numeric) = 0.43506825490505631492474789693916 absolute error = 1.24049360095213912190398e-09 relative error = 2.8512620502725963678340797672919e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.972 y[1] (analytic) = 0.43535709373333113142879779124695 y[1] (numeric) = 0.43535709497472872861746980707527 absolute error = 1.24139759718867201582832e-09 relative error = 2.8514468124161636173690083803723e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1819.6MB, alloc=4.6MB, time=150.25 x[1] = 0.973 y[1] (analytic) = 0.43564602568617732509514514876504 y[1] (numeric) = 0.43564602692847916599395376647759 absolute error = 1.24230184089880861771255e-09 relative error = 2.8516312961700588975854361500607e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.974 y[1] (analytic) = 0.43593504951808239366915193292156 y[1] (numeric) = 0.43593505076128872569679183556976 absolute error = 1.24320633202763990264820e-09 relative error = 2.8518155018780435365554407510047e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.975 y[1] (analytic) = 0.43622416522402629593640502632782 y[1] (numeric) = 0.43622416646813736645664846289923 absolute error = 1.24411107052024343657141e-09 relative error = 2.8519994298833045351394377737171e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.976 y[1] (analytic) = 0.43651337279898785123412442596895 y[1] (numeric) = 0.43651337404400390755580780895534 absolute error = 1.24501605632168338298639e-09 relative error = 2.8521830805284557288399254041145e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1823.4MB, alloc=4.6MB, time=150.41 x[1] = 0.977 y[1] (analytic) = 0.4368026722379447399147348552268 y[1] (numeric) = 0.43680267348386602929174536491875 absolute error = 1.24592128937701050969195e-09 relative error = 2.8523664541555389469238315565389e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.978 y[1] (analytic) = 0.43709206353587350380946157902633 y[1] (numeric) = 0.43709206478270027344072377453767 absolute error = 1.24682676963126219551134e-09 relative error = 2.8525495511060251688213508111411e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.979 y[1] (analytic) = 0.43738154668774954669195033032424 y[1] (numeric) = 0.43738154793548204372141276734962 absolute error = 1.24773249702946243702538e-09 relative error = 2.8527323717208156778085389818861e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.98 y[1] (analytic) = 0.43767112168854713474191125618214 y[1] (numeric) = 0.43767112293718560625853311149101 absolute error = 1.24863847151662185530887e-09 relative error = 2.8529149163402432119809341456751e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1827.2MB, alloc=4.6MB, time=150.56 x[1] = 0.981 y[1] (analytic) = 0.43796078853323939700878679169007 y[1] (numeric) = 0.4379607897827840900465244943603 absolute error = 1.24954469303773770267023e-09 relative error = 2.8530971853040731125253597388136e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.982 y[1] (analytic) = 0.43825054721679832587544337002945 y[1] (numeric) = 0.43825054846724948741323723942398 absolute error = 1.25045116153779386939453e-09 relative error = 2.8532791789515044692975231694808e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.983 y[1] (analytic) = 0.43854039773419477752188687698865 y[1] (numeric) = 0.43854039898555265448364776747817 absolute error = 1.25135787696176089048952e-09 relative error = 2.8534608976211712637117454360575e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.984 y[1] (analytic) = 0.43883034008039847238900175826687 y[1] (numeric) = 0.43883034133266331164359771070225 absolute error = 1.25226483925459595243538e-09 relative error = 2.8536423416511435089516696052978e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1831.1MB, alloc=4.6MB, time=150.72 x[1] = 0.985 y[1] (analytic) = 0.4391203742503779956423136879272 y[1] (numeric) = 0.43912037550355004400355658786439 absolute error = 1.25317204836124289993719e-09 relative error = 2.8538235113789283875068486819978e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.986 y[1] (analytic) = 0.43941050023910079763577570638153 y[1] (numeric) = 0.4394105014931803018624079490627 absolute error = 1.25407950422663224268117e-09 relative error = 2.8540044071414713860447691438362e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.987 y[1] (analytic) = 0.43970071804153319437557773631533 y[1] (numeric) = 0.43970071929652040117125889840909 absolute error = 1.25498720679568116209376e-09 relative error = 2.8541850292751574276233291364735e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.988 y[1] (analytic) = 0.43999102765264036798397938498245 y[1] (numeric) = 0.43999102890853552399727290308683 absolute error = 1.25589515601329351810438e-09 relative error = 2.8543653781158120012528028161942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1834.9MB, alloc=4.6MB, time=150.87 x[1] = 0.989 y[1] (analytic) = 0.4402814290673863671631659413254 y[1] (numeric) = 0.44028143032418971898752579723637 absolute error = 1.25680335182435985591097e-09 relative error = 2.8545454539987022888123387870273e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.99 y[1] (analytic) = 0.44057192228073410765912747639854 y[1] (numeric) = 0.44057192353844590183288488914775 absolute error = 1.25771179417375741274921e-09 relative error = 2.8547252572585382893301156186517e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.991 y[1] (analytic) = 0.44086250728764537272556095559695 y[1] (numeric) = 0.44086250854626585573191108026171 absolute error = 1.25862048300635012466476e-09 relative error = 2.8549047882294739406327068332357e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.992 y[1] (analytic) = 0.44115318408308081358779527121639 y[1] (numeric) = 0.44115318534261023185478390450526 absolute error = 1.25952941826698863328887e-09 relative error = 2.8550840472451082383714838956871e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1838.7MB, alloc=4.6MB, time=151.02 x[1] = 0.993 y[1] (analytic) = 0.4414439526619999499067391038944 y[1] (numeric) = 0.44144395392243854980724939651146 absolute error = 1.26043859990051029261706e-09 relative error = 2.8552630346384863524323879644899e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.994 y[1] (analytic) = 0.4417348130193611702428515215055 y[1] (numeric) = 0.44173481428070919809459069729684 absolute error = 1.26134802785173917579134e-09 relative error = 2.8554417507421007407371267966227e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.995 y[1] (analytic) = 0.44202576515012173252013522410835 y[1] (numeric) = 0.4420257664123794345856213059938 absolute error = 1.26225770206548608188545e-09 relative error = 2.8556201958878922604415868959056e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.996 y[1] (analytic) = 0.44231680904923776449015234356595 y[1] (numeric) = 0.44231681031240538697670088625925 absolute error = 1.26316762248654854269330e-09 relative error = 2.8557983704072512765388188395756e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1842.5MB, alloc=4.6MB, time=151.18 x[1] = 0.997 y[1] (analytic) = 0.44260794471166426419606270648365 y[1] (numeric) = 0.44260794597574205325577353600455 absolute error = 1.26407778905971082952090e-09 relative error = 2.8559762746310187678741792283181e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.998 y[1] (analytic) = 0.44289917213235510043668446913442 y[1] (numeric) = 0.44289917339734330216642842911588 absolute error = 1.26498820172974395998146e-09 relative error = 2.8561539088894874305788111717386e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 0.999 y[1] (analytic) = 0.44319049130626301323057703306463 y[1] (numeric) = 0.44319049257216187367198273785797 absolute error = 1.26589886044140570479334e-09 relative error = 2.8563312735124027789276283041006e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1 y[1] (analytic) = 0.44348190222833961428014615009631 y[1] (numeric) = 0.44348190349514937941958674467831 absolute error = 1.26680976513944059458200e-09 relative error = 2.8565083688289642436312651386259e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1846.3MB, alloc=4.6MB, time=151.33 x[1] = 1.001 y[1] (analytic) = 0.44377340489353538743577112546838 y[1] (numeric) = 0.44377340616125630320435105215276 absolute error = 1.26772091576857992668438e-09 relative error = 2.8566851951678262675652930824470e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.002 y[1] (analytic) = 0.44406499929679968915995402788059 y[1] (numeric) = 0.44406500056543200143349579983763 absolute error = 1.26863231227354177195704e-09 relative error = 2.8568617528570993989465301057945e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.003 y[1] (analytic) = 0.44435668543308074899149081522998 y[1] (numeric) = 0.44435668670262470359052179681741 absolute error = 1.26954395459903098158743e-09 relative error = 2.8570380422243513819618249741355e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.004 y[1] (analytic) = 0.44464846329732567000966428485306 y[1] (numeric) = 0.44464846456778151269940347876126 absolute error = 1.27045584268973919390820e-09 relative error = 2.8572140635966082448558984747327e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.005 y[1] (analytic) = 0.44494033288448042929845875711064 y[1] (numeric) = 0.44494033415584840578880359832562 absolute error = 1.27136797649034484121498e-09 relative error = 2.8573898173003553854859735065349e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1850.1MB, alloc=4.6MB, time=151.48 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.006 y[1] (analytic) = 0.44523229418948987841079640117726 y[1] (numeric) = 0.44523229546177023435630955776444 absolute error = 1.27228035594551315658718e-09 relative error = 2.8575653036615386543489240792178e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.007 y[1] (analytic) = 0.44552434720729774383279511192039 y[1] (numeric) = 0.4455243484804907248326912926326 absolute error = 1.27319298099989618071221e-09 relative error = 2.8577405230055654350885662600421e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.008 y[1] (analytic) = 0.44581649193284662744804784677959 y[1] (numeric) = 0.44581649320695247904618061549235 absolute error = 1.27410585159813276871276e-09 relative error = 2.8579154756573057224889845398788e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.009 y[1] (analytic) = 0.44610872836107800700192333157934 y[1] (numeric) = 0.44610872963609697468677192855683 absolute error = 1.27501896768484859697749e-09 relative error = 2.8580901619410931979613628218764e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1854.0MB, alloc=4.6MB, time=151.63 x[1] = 1.01 y[1] (analytic) = 0.44640105648693223656588804423436 y[1] (numeric) = 0.44640105776286456577054421422889 absolute error = 1.27593232920465616999453e-09 relative error = 2.8582645821807263025296370067069e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.011 y[1] (analytic) = 0.44669347630534854700184938532899 y[1] (numeric) = 0.44669347758219448310400421251786 absolute error = 1.27684593610215482718887e-09 relative error = 2.8584387366994693073240342482057e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.012 y[1] (analytic) = 0.44698598781126504642651994457878 y[1] (numeric) = 0.44698598908902483474845069434101 absolute error = 1.27775978832193074976223e-09 relative error = 2.8586126258200533815859607852276e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.013 y[1] (analytic) = 0.44727859099961872067580277220421 y[1] (numeric) = 0.44727859227829260648435973974092 absolute error = 1.27867388580855696753671e-09 relative error = 2.8587862498646776581937558721644e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1857.8MB, alloc=4.6MB, time=151.79 x[1] = 1.014 y[1] (analytic) = 0.44757128586534543376919756427291 y[1] (numeric) = 0.44757128714493366227579093007428 absolute error = 1.27958822850659336580137e-09 relative error = 2.8589596091550102967139906729135e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.015 y[1] (analytic) = 0.4478640724033799283742276710899 y[1] (numeric) = 0.44786407368388274473481436325194 absolute error = 1.28050281636058669216204e-09 relative error = 2.8591327040121895439855490294057e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.016 y[1] (analytic) = 0.44815695060865582627088783774013 y[1] (numeric) = 0.44815695189007347558595840113456 absolute error = 1.28141764931507056339443e-09 relative error = 2.8593055347568247922431907018094e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.017 y[1] (analytic) = 0.44844992047610562881611258591218 y[1] (numeric) = 0.44844992175843835613067805821253 absolute error = 1.28233272731456547230035e-09 relative error = 2.8594781017089976347866975645673e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1861.6MB, alloc=4.6MB, time=151.94 x[1] = 1.018 y[1] (analytic) = 0.44874298200066071740826514615605 y[1] (numeric) = 0.44874298328390876771184394072332 absolute error = 1.28324805030357879456727e-09 relative error = 2.8596504051882629192026219495493e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.019 y[1] (analytic) = 0.44903613517725135395164684975297 y[1] (numeric) = 0.44903613646141497217825164538385 absolute error = 1.28416361822660479563088e-09 relative error = 2.8598224455136497981443648676177e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.02 y[1] (analytic) = 0.44932938000080668132102688939909 y[1] (numeric) = 0.44932938128588611234915152694009 absolute error = 1.28507943102812463754100e-09 relative error = 2.8599942230036627776778320910077e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.021 y[1] (analytic) = 0.44962271646625472382619235792977 y[1] (numeric) = 0.44962271775225021247879874376044 absolute error = 1.28599548865260638583067e-09 relative error = 2.8601657379762827631987362145344e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1865.4MB, alloc=4.6MB, time=152.10 x[1] = 1.022 y[1] (analytic) = 0.44991614456852238767651847433575 y[1] (numeric) = 0.44991614585543417872102349072414 absolute error = 1.28691179104450501638839e-09 relative error = 2.8603369907489681029279067595960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.023 y[1] (analytic) = 0.45020966430253546144555890634694 y[1] (numeric) = 0.45020966559036379959382132868053 absolute error = 1.28782833814826242233359e-09 relative error = 2.8605079816386556289911959241446e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.024 y[1] (analytic) = 0.4505032756632186165356560988842 y[1] (numeric) = 0.45050327695196374644396351977943 absolute error = 1.28874512990830742089523e-09 relative error = 2.8606787109617616960901480250558e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.025 y[1] (analytic) = 0.45079697864549540764257151770405 y[1] (numeric) = 0.45079697993515757391162727799773 absolute error = 1.28966216626905576029368e-09 relative error = 2.8608491790341832177701373988326e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1869.2MB, alloc=4.6MB, time=152.25 x[1] = 1.026 y[1] (analytic) = 0.45109077324428827322013571758603 y[1] (numeric) = 0.45109077453486772039504584421186 absolute error = 1.29057944717491012662583e-09 relative error = 2.8610193861712987002922154710890e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.027 y[1] (analytic) = 0.4513846594545185359449181444372 y[1] (numeric) = 0.45138466074601550851517829519036 absolute error = 1.29149697257026015075316e-09 relative error = 2.8611893326879692741144020100105e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.028 y[1] (analytic) = 0.45167863727110640318091658071261 y[1] (numeric) = 0.45167863856352114558039899590574 absolute error = 1.29241474239948241519313e-09 relative error = 2.8613590188985397229895346674485e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.029 y[1] (analytic) = 0.45197270668897096744426614357538 y[1] (numeric) = 0.45197270798230372405120660458924 absolute error = 1.29333275660694046101386e-09 relative error = 2.8615284451168395106859051070566e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1873.0MB, alloc=4.6MB, time=152.41 x[1] = 1.03 y[1] (analytic) = 0.45226686770303020686796774524523 y[1] (numeric) = 0.45226686899728122200495253997717 absolute error = 1.29425101513698479473194e-09 relative error = 2.8616976116561838053366042279579e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.031 y[1] (analytic) = 0.45256112030820098566663592500879 y[1] (numeric) = 0.45256112160337050360058882022196 absolute error = 1.29516951793395289521317e-09 relative error = 2.8618665188293745014233938118589e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.032 y[1] (analytic) = 0.45285546449939905460126596238933 y[1] (numeric) = 0.45285546579548731954343518296614 absolute error = 1.29608826494216922057681e-09 relative error = 2.8620351669487012394026280435167e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.033 y[1] (analytic) = 0.45314990027153905144402018099932 y[1] (numeric) = 0.45314990156854630754996539610215 absolute error = 1.29700725610594521510283e-09 relative error = 2.8622035563259424229783177854548e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1876.8MB, alloc=4.6MB, time=152.56 x[1] = 1.034 y[1] (analytic) = 0.45344442761953450144303335262331 y[1] (numeric) = 0.45344442891746099281261266876572 absolute error = 1.29792649136957931614241e-09 relative error = 2.8623716872723662340290939534366e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.035 y[1] (analytic) = 0.45373904653829781778723711110405 y[1] (numeric) = 0.45373904783714378846459407213551 absolute error = 1.29884597067735696103146e-09 relative error = 2.8625395600987316451947471966291e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.036 y[1] (analytic) = 0.45403375702274030207120328562901 y[1] (numeric) = 0.45403375832250599604475387963662 absolute error = 1.29976569397355059400761e-09 relative error = 2.8627071751152894301295030732252e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.037 y[1] (analytic) = 0.45432855906777214476000606304041 y[1] (numeric) = 0.45432856036845780596242573617035 absolute error = 1.30068566120241967312994e-09 relative error = 2.8628745326317831714265712479791e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1880.7MB, alloc=4.6MB, time=152.71 x[1] = 1.038 y[1] (analytic) = 0.4546234526683024256541028888155 y[1] (numeric) = 0.45462345396990829796231356601781 absolute error = 1.30160587230821067720231e-09 relative error = 2.8630416329574502662219947737109e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.039 y[1] (analytic) = 0.45491843781923911435423401639013 y[1] (numeric) = 0.45491843912176544158939112908967 absolute error = 1.30252632723515711269954e-09 relative error = 2.8632084764010229294822584387791e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.04 y[1] (analytic) = 0.45521351451548907072634061452264 y[1] (numeric) = 0.45521351581893609665382013521954 absolute error = 1.30344702592747952069690e-09 relative error = 2.8633750632707291949827637278616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.041 y[1] (analytic) = 0.45550868275195804536650134242081 y[1] (numeric) = 0.45550868405632601369588682622349 absolute error = 1.30436796832938548380268e-09 relative error = 2.8635413938742939139827398674119e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.042 y[1] (analytic) = 0.45580394252355068006588730237912 y[1] (numeric) = 0.45580394382883983445095693547315 absolute error = 1.30528915438506963309403e-09 relative error = 2.8637074685189397516030665225478e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1884.5MB, alloc=4.6MB, time=152.87 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.043 y[1] (analytic) = 0.45609929382517050827573527969917 y[1] (numeric) = 0.45609929513138109231444893475499 absolute error = 1.30621058403871365505582e-09 relative error = 2.8638732875113881809124989303948e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.044 y[1] (analytic) = 0.4563947366517199555723391796908 y[1] (numeric) = 0.45639473795885221280682547821354 absolute error = 1.30713225723448629852274e-09 relative error = 2.8640388511578604747288010500612e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.045 y[1] (analytic) = 0.45669027099810034012205957157688 y[1] (numeric) = 0.45669027230615451403860295320134 absolute error = 1.30805417391654338162446e-09 relative error = 2.8642041597640786951403961418843e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.046 y[1] (analytic) = 0.45698589685921187314635124914941 y[1] (numeric) = 0.45698589816818820717537904788359 absolute error = 1.30897633402902779873418e-09 relative error = 2.8643692136352666807552444986905e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1888.3MB, alloc=4.6MB, time=153.02 x[1] = 1.047 y[1] (analytic) = 0.45728161422995365938680871805078 y[1] (numeric) = 0.45728161553985239690287824547068 absolute error = 1.30989873751606952741990e-09 relative error = 2.8645340130761510316814497930314e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.048 y[1] (analytic) = 0.45757742310522369757022951957766 y[1] (numeric) = 0.45757742441604508189201515497696 absolute error = 1.31082138432178563539930e-09 relative error = 2.8646985583909620922474947252386e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.049 y[1] (analytic) = 0.45787332347991888087369530093198 y[1] (numeric) = 0.45787332479166315526397558842936 absolute error = 1.31174427439028028749738e-09 relative error = 2.8648628498834349314661788395567e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.05 y[1] (analytic) = 0.45816931534893499738967054186712 y[1] (numeric) = 0.45816931666160240505531529447468 absolute error = 1.31266740766564475260756e-09 relative error = 2.8650268878568103212497065070151e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1892.1MB, alloc=4.6MB, time=153.17 x[1] = 1.051 y[1] (analytic) = 0.45846539870716673059111884770402 y[1] (numeric) = 0.45846540002075751468307625835966 absolute error = 1.31359078409195741065564e-09 relative error = 2.8651906726138357123805121660912e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.052 y[1] (analytic) = 0.45876157354950765979663671871627 y[1] (numeric) = 0.45876157486402206340992047828335 absolute error = 1.31451440361328375956708e-09 relative error = 2.8653542044567662082447098567230e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.053 y[1] (analytic) = 0.45905783987085026063560470590911 y[1] (numeric) = 0.4590578411862885268092811281464 absolute error = 1.31543826617367642223729e-09 relative error = 2.8655174836873655363333542082756e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.054 y[1] (analytic) = 0.45935419766608590551335586324218 y[1] (numeric) = 0.45935419898244827723053101674748 absolute error = 1.31636237171717515350530e-09 relative error = 2.8656805106069070175181665917960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1895.9MB, alloc=4.6MB, time=153.33 x[1] = 1.055 y[1] (analytic) = 0.45965064693010486407636140637219 y[1] (numeric) = 0.45965064824739158426416825350224 absolute error = 1.31728672018780684713005e-09 relative error = 2.8658432855161745331059003719119e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.056 y[1] (analytic) = 0.45994718765779630367743348801525 y[1] (numeric) = 0.4599471889760076152070190307858 absolute error = 1.31821131152958554277055e-09 relative error = 2.8660058087154634896798806291797e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.057 y[1] (analytic) = 0.46024381984404828984094500005659 y[1] (numeric) = 0.46024382116318443552745743302494 absolute error = 1.31913614568651243296835e-09 relative error = 2.8661680805045817817311171187009e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.058 y[1] (analytic) = 0.46054054348374778672806631255801 y[1] (numeric) = 0.46054054480380900933064218269186 absolute error = 1.32006122260257587013385e-09 relative error = 2.8663301011828507520880991799385e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1899.7MB, alloc=4.6MB, time=153.48 x[1] = 1.059 y[1] (analytic) = 0.46083735857178065760201885984145 y[1] (numeric) = 0.46083735989276719982377023337667 absolute error = 1.32098654222175137353522e-09 relative error = 2.8664918710491061501483580639998e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.06 y[1] (analytic) = 0.46113426510303166529334548385076 y[1] (numeric) = 0.46113426642494376978134712014146 absolute error = 1.32191210448800163629070e-09 relative error = 2.8666533904016990879192161057537e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.061 y[1] (analytic) = 0.46143126307238447266519744502002 y[1] (numeric) = 0.46143126439522238201047397738403 absolute error = 1.32283790934527653236401e-09 relative error = 2.8668146595384969938728628028699e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.062 y[1] (analytic) = 0.46172835247472164307863801090252 y[1] (numeric) = 0.46172835379848559981615113446528 absolute error = 1.32376395673751312356276e-09 relative error = 2.8669756787568845646212305742020e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1903.5MB, alloc=4.6MB, time=153.64 x[1] = 1.063 y[1] (analytic) = 0.46202553330492464085796253283946 y[1] (numeric) = 0.46202553462961488746659819937949 absolute error = 1.32469024660863566654003e-09 relative error = 2.8671364483537647144167334418417e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.064 y[1] (analytic) = 0.46232280555787383175603492097342 y[1] (numeric) = 0.46232280688349061065859054077256 absolute error = 1.32561677890255561979914e-09 relative error = 2.8672969686255595224845888093079e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.065 y[1] (analytic) = 0.4626201692284484834196404279374 y[1] (numeric) = 0.46262017055499203698281207863877 absolute error = 1.32654355356317165070137e-09 relative error = 2.8674572398682111781918636002831e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.066 y[1] (analytic) = 0.46291762431152676585485465157539 y[1] (numeric) = 0.4629176256389973363892242940523 absolute error = 1.32747057053436964247691e-09 relative error = 2.8676172623771829240594953848063e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1907.4MB, alloc=4.6MB, time=153.79 x[1] = 1.067 y[1] (analytic) = 0.4632151708019857518924286670766 y[1] (numeric) = 0.4632151721303835816524513683155 absolute error = 1.32839782976002270123890e-09 relative error = 2.8677770364474599966226127362290e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.068 y[1] (analytic) = 0.46351280869470141765319019893078 y[1] (numeric) = 0.46351281002402674883718136193138 absolute error = 1.32932533118399116300060e-09 relative error = 2.8679365623735505651448524489858e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.069 y[1] (analytic) = 0.4638105379845486430134607431383 y[1] (numeric) = 0.46381053931480171776358334383379 absolute error = 1.33025307475012260069549e-09 relative error = 2.8680958404494866681918368952037e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.07 y[1] (analytic) = 0.46410835866640121207048855013364 y[1] (numeric) = 0.46410835999758227247274038133433 absolute error = 1.33118106040225183120069e-09 relative error = 2.8682548709688251480702318656403e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1911.2MB, alloc=4.6MB, time=153.94 x[1] = 1.071 y[1] (analytic) = 0.46440627073513181360789737890739 y[1] (numeric) = 0.46440627206724110169209830127075 absolute error = 1.33210928808420092236336e-09 relative error = 2.8684136542246485831372126732163e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.072 y[1] (analytic) = 0.46470427418561204156115093283731 y[1] (numeric) = 0.46470427551864979930093013286759 absolute error = 1.33303775773977920003028e-09 relative error = 2.8685721905095662179863157954069e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.073 y[1] (analytic) = 0.46500236901271239548303288776511 y[1] (numeric) = 0.46500237034667886479581614284544 absolute error = 1.33396646931278325508033e-09 relative error = 2.8687304801157148915146026246623e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.074 y[1] (analytic) = 0.46530055521130228100914242288084 y[1] (numeric) = 0.46530055654619770375613937334113 absolute error = 1.33489542274699695046029e-09 relative error = 2.8688885233347599628775532003786e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1915.0MB, alloc=4.6MB, time=154.10 x[1] = 1.075 y[1] (analytic) = 0.46559883277625001032340516500335 y[1] (numeric) = 0.46559883411207462830959659322702 absolute error = 1.33582461798619142822367e-09 relative error = 2.8690463204578962353365621073360e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.076 y[1] (analytic) = 0.46589720170242280262359945687089 y[1] (numeric) = 0.4658972030391768575977245734434 absolute error = 1.33675405497412511657251e-09 relative error = 2.8692038717758488780043895114372e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.077 y[1] (analytic) = 0.46619566198468678458689786008168 y[1] (numeric) = 0.46619566332237051824144159698401 absolute error = 1.33768373365454373690233e-09 relative error = 2.8693611775788743454944197335043e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.078 y[1] (analytic) = 0.46649421361790699083542380335024 y[1] (numeric) = 0.46649421495652064480660411420052 absolute error = 1.33861365397118031085028e-09 relative error = 2.8695182381567612954792831255510e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.079 y[1] (analytic) = 0.46679285659694736440182328677162 y[1] (numeric) = 0.46679285793649118026957845411786 absolute error = 1.33954381586775516734624e-09 relative error = 2.8696750537988315041637378555454e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1918.8MB, alloc=4.6MB, time=154.25 x[1] = 1.08 y[1] (analytic) = 0.46709159091667075719485155281134 y[1] (numeric) = 0.46709159225714497648282750247823 absolute error = 1.34047421928797594966689e-09 relative error = 2.8698316247939407796772731191368e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.081 y[1] (analytic) = 0.46739041657193893046497463476437 y[1] (numeric) = 0.46739041791334379464051225725766 absolute error = 1.34140486417553762249329e-09 relative error = 2.8699879514304798733929918073685e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.082 y[1] (analytic) = 0.46768933355761255526998569345411 y[1] (numeric) = 0.46768933489994830574410817242496 absolute error = 1.34233575047412247897085e-09 relative error = 2.8701440339963753891757596087206e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.083 y[1] (analytic) = 0.46798834186855121294063605296587 y[1] (numeric) = 0.46798834321181809106803620073904 absolute error = 1.34326687812740014777317e-09 relative error = 2.8702998727790906905681597509921e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1922.6MB, alloc=4.6MB, time=154.40 x[1] = 1.084 y[1] (analytic) = 0.46828744149961339554628084623842 y[1] (numeric) = 0.46828744284381164262530844640663 absolute error = 1.34419824707902760016821e-09 relative error = 2.8704554680656268059163117007628e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.085 y[1] (analytic) = 0.46858663244565650636053918136037 y[1] (numeric) = 0.46858663379078636363318833844845 absolute error = 1.34512985727264915708808e-09 relative error = 2.8706108201425233314436527821966e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.086 y[1] (analytic) = 0.46888591470153686032696873944663 y[1] (numeric) = 0.46888591604759856897886523564822 absolute error = 1.34606170865189649620159e-09 relative error = 2.8707659292958593322761666836617e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.087 y[1] (analytic) = 0.46918528826210968452475471499486 y[1] (numeric) = 0.46918528960910348568514337398476 absolute error = 1.34699380116038865898990e-09 relative error = 2.8709207958112542414250943076409e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1926.4MB, alloc=4.6MB, time=154.56 x[1] = 1.088 y[1] (analytic) = 0.46948475312222911863441300964853 y[1] (numeric) = 0.46948475447015525337614506747393 absolute error = 1.34792613474173205782540e-09 relative error = 2.8710754199738687567326959406140e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.089 y[1] (analytic) = 0.46978430927674821540350759031951 y[1] (numeric) = 0.46978431062560692474302807337304 absolute error = 1.34885870933952048305353e-09 relative error = 2.8712298020684057357857228604018e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.09 y[1] (analytic) = 0.47008395672051894111238192264934 y[1] (numeric) = 0.47008395807031046600971703272684 absolute error = 1.34979152489733511007750e-09 relative error = 2.8713839423791110888017761015996e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.091 y[1] (analytic) = 0.4703836954483921760399043908139 y[1] (numeric) = 0.47038369679911675739864889726034 absolute error = 1.35072458135874450644644e-09 relative error = 2.8715378411897746694949269845413e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1930.2MB, alloc=4.6MB, time=154.71 x[1] = 1.092 y[1] (analytic) = 0.47068352545521771492922761470371 y[1] (numeric) = 0.47068352680687559359653225364995 absolute error = 1.35165787866730463894624e-09 relative error = 2.8716914987837311639242547900696e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.093 y[1] (analytic) = 0.47098344673584426745356157553717 y[1] (numeric) = 0.47098344808843568422012045623079 absolute error = 1.35259141676655888069362e-09 relative error = 2.8718449154438609773316674805983e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.094 y[1] (analytic) = 0.471283459285119458681960460991 y[1] (numeric) = 0.47128346063864465428199847922434 absolute error = 1.35352519560003801823334e-09 relative error = 2.8719980914525911189740135671730e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.095 y[1] (analytic) = 0.47158356309788982954512314095864 y[1] (numeric) = 0.47158356445234904465638339959684 absolute error = 1.35445921511126025863820e-09 relative error = 2.8721510270918960849539277427321e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1934.1MB, alloc=4.6MB, time=154.87 x[1] = 1.096 y[1] (analytic) = 0.47188375816900083730120718507315 y[1] (numeric) = 0.47188375952439431254493842168538 absolute error = 1.35539347524373123661223e-09 relative error = 2.8723037226432987390554309811317e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.097 y[1] (analytic) = 0.47218404449329685600165633315786 y[1] (numeric) = 0.47218404584962483194260035475492 absolute error = 1.35632797594094402159706e-09 relative error = 2.8724561783878711915894181469698e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.098 y[1] (analytic) = 0.47248442206562117695704132979476 y[1] (numeric) = 0.4724844234228838941034204546758 absolute error = 1.35726271714637912488104e-09 relative error = 2.8726083946062356762532623774791e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.099 y[1] (analytic) = 0.47278489088081600920291403422644 y[1] (numeric) = 0.47278489223901370800641854093797 absolute error = 1.35819769880350450671153e-09 relative error = 2.8727603715785654250105530572983e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1937.9MB, alloc=4.6MB, time=155.02 x[1] = 1.1 y[1] (analytic) = 0.47308545093372247996567471683395 y[1] (numeric) = 0.47308545229285540082145030024442 absolute error = 1.35913292085577558341047e-09 relative error = 2.8729121095845855409963095262419e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.101 y[1] (analytic) = 0.47338610221918063512845245346043 y[1] (numeric) = 0.47338610357924901837508768795285 absolute error = 1.36006838324663523449242e-09 relative error = 2.8730636089035738694510532039506e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.102 y[1] (analytic) = 0.47368684473202943969699852887489 y[1] (numeric) = 0.47368684609303352561651233866119 absolute error = 1.36100408591951380978630e-09 relative error = 2.8732148698143618666914213711640e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.103 y[1] (analytic) = 0.47398767846710677826559276069938 y[1] (numeric) = 0.47398767982904680708342189725897 absolute error = 1.36194002881782913655959e-09 relative error = 2.8733658925953354671197667974203e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1941.7MB, alloc=4.6MB, time=155.18 x[1] = 1.104 y[1] (analytic) = 0.47428860341924945548296265514727 y[1] (numeric) = 0.47428860478212566736794918179324 absolute error = 1.36287621188498652664597e-09 relative error = 2.8735166775244359482798667108476e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.105 y[1] (analytic) = 0.47458961958329319651821530594859 y[1] (numeric) = 0.47458962094710583158259408952425 absolute error = 1.36381263506437878357566e-09 relative error = 2.8736672248791607939622152724683e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.106 y[1] (analytic) = 0.47489072695407264752678194786358 y[1] (numeric) = 0.47489072831882194582616815757266 absolute error = 1.36474929829938620970908e-09 relative error = 2.8738175349365645553652308609579e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.107 y[1] (analytic) = 0.47519192552642137611637507621352 y[1] (numeric) = 0.47519192689210757764975168958682 absolute error = 1.36568620153337661337330e-09 relative error = 2.8739676079732597103162682166303e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1945.5MB, alloc=4.6MB, time=155.33 x[1] = 1.108 y[1] (analytic) = 0.47549321529517187181295804388351 y[1] (numeric) = 0.47549321666179521652266335988507 absolute error = 1.36662334470970531600156e-09 relative error = 2.8741174442654175205580201485719e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.109 y[1] (analytic) = 0.47579459625515554652672704727892 y[1] (numeric) = 0.47579459762271627429844220655499 absolute error = 1.36756072777171515927607e-09 relative error = 2.8742670440887688871057289371121e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.11 y[1] (analytic) = 0.47609606840120273501810541274462 y[1] (numeric) = 0.4760960697697010856808419250179 absolute error = 1.36849835066273651227328e-09 relative error = 2.8744164077186052036784684943823e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.111 y[1] (analytic) = 0.47639763172814269536375009498122 y[1] (numeric) = 0.47639763309757890868983737359393 absolute error = 1.36943621332608727861271e-09 relative error = 2.8745655354297792082117408714306e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.112 y[1] (analytic) = 0.47669928623080360942257029902094 y[1] (numeric) = 0.47669928760117792512764320262949 absolute error = 1.37037431570507290360855e-09 relative error = 2.8747144274967058324546609936207e-07 % Correct digits = 8 h = 0.001 memory used=1949.3MB, alloc=4.6MB, time=155.48 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.113 y[1] (analytic) = 0.47700103190401258330175813735164 y[1] (numeric) = 0.47700103327532524104474451877583 absolute error = 1.37131265774298638142419e-09 relative error = 2.8748630841933630496569892499785e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.114 y[1] (analytic) = 0.47730286874259564782283123380434 y[1] (numeric) = 0.47730287011484688720593949603423 absolute error = 1.37225123938310826222989e-09 relative error = 2.8750115057932927203513603851983e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.115 y[1] (analytic) = 0.47760479674137775898768718584657 y[1] (numeric) = 0.47760479811456781955639384521005 absolute error = 1.37319006056870665936348e-09 relative error = 2.8751596925696014362353707240341e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.116 y[1] (analytic) = 0.47790681589518279844466979695094 y[1] (numeric) = 0.47790681726931191968770705344475 absolute error = 1.37412912124303725649381e-09 relative error = 2.8753076447949613621578170734795e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1953.1MB, alloc=4.6MB, time=155.64 x[1] = 1.117 y[1] (analytic) = 0.47820892619883357395464699073424 y[1] (numeric) = 0.47820892757390199530399030552193 absolute error = 1.37506842134934331478769e-09 relative error = 2.8754553627416110762155024787383e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.118 y[1] (analytic) = 0.47851112764715181985710031859088 y[1] (numeric) = 0.47851112902315978068795599867018 absolute error = 1.37600796083085568007930e-09 relative error = 2.8756028466813564079633240611514e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.119 y[1] (analytic) = 0.47881342023495819753622597256978 y[1] (numeric) = 0.47881342161190593716701876261252 absolute error = 1.37694773963079279004274e-09 relative error = 2.8757500968855712747438845080848e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.12 y[1] (analytic) = 0.47911580395707229588704721527123 y[1] (numeric) = 0.47911580533496005357940789663917 absolute error = 1.37788775769236068136794e-09 relative error = 2.8758971136251985161419085153358e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1957.0MB, alloc=4.6MB, time=155.79 x[1] = 1.121 y[1] (analytic) = 0.47941827880831263178153813856814 y[1] (numeric) = 0.47941828018714064674029113550723 absolute error = 1.37882801495875299693909e-09 relative error = 2.8760438971707507265665182463668e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.122 y[1] (analytic) = 0.47972084478349665053475866298172 y[1] (numeric) = 0.47972084616326516190790965599793 absolute error = 1.37976851137315099301621e-09 relative error = 2.8761904477923110859674602966479e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.123 y[1] (analytic) = 0.48002350187744072637100068956916 y[1] (numeric) = 0.48002350325814997324972423598903 absolute error = 1.38070924687872354641987e-09 relative error = 2.8763367657595341886900855225504e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.124 y[1] (analytic) = 0.48032625008496016288994531620837 y[1] (numeric) = 0.48032625146661038430857247792702 absolute error = 1.38165022141862716171865e-09 relative error = 2.8764828513416468704729948109907e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1960.8MB, alloc=4.6MB, time=155.94 x[1] = 1.125 y[1] (analytic) = 0.48062908940086919353283103019108 y[1] (numeric) = 0.48062909078346062846883700861083 absolute error = 1.38259143493600597841975e-09 relative error = 2.8766287048074490335939605379457e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.126 y[1] (analytic) = 0.48093201981998098204863278906312 y[1] (numeric) = 0.48093202120351386942262456722572 absolute error = 1.38353288737399177816260e-09 relative error = 2.8767743264253144701685510610454e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.127 y[1] (analytic) = 0.48123504133710762296025190167806 y[1] (numeric) = 0.4812350427215822016359558935932 absolute error = 1.38447457867570399191514e-09 relative error = 2.8769197164631916836054994846077e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.128 y[1] (analytic) = 0.48153815394706014203071662145634 y[1] (numeric) = 0.48153815533247665081496632863 absolute error = 1.38541650878424970717366e-09 relative error = 2.8770648751886047082253813345704e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1964.6MB, alloc=4.6MB, time=156.10 x[1] = 1.129 y[1] (analytic) = 0.48184135764464849672939336387109 y[1] (numeric) = 0.48184135903100717437211703903601 absolute error = 1.38635867764272367516492e-09 relative error = 2.8772098028686539270446393494383e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.13 y[1] (analytic) = 0.4821446524246815766982084602068 y[1] (numeric) = 0.48214465381198266189241677825858 absolute error = 1.38730108519420831805178e-09 relative error = 2.8773544997700168877321993728508e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.131 y[1] (analytic) = 0.48244803828196720421788035966589 y[1] (numeric) = 0.4824480396702109355996540958075 absolute error = 1.38824373138177373614161e-09 relative error = 2.8774989661589491167418323883599e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.132 y[1] (analytic) = 0.48275151521131213467416219192465 y[1] (numeric) = 0.48275151660049875082263990702227 absolute error = 1.38918661614847771509762e-09 relative error = 2.8776432023012849316252141048500e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1968.4MB, alloc=4.6MB, time=156.25 x[1] = 1.133 y[1] (analytic) = 0.48305508320752205702409460226744 y[1] (numeric) = 0.48305508459765179646146033542054 absolute error = 1.39012973943736573315310e-09 relative error = 2.8777872084624382515303081255616e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.134 y[1] (analytic) = 0.48335874226540159426226877145485 y[1] (numeric) = 0.48335874365647469545373973978379 absolute error = 1.39107310119147096832894e-09 relative error = 2.8779309849074034058904716570371e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.135 y[1] (analytic) = 0.48366249237975430388709953250999 y[1] (numeric) = 0.48366249377177100524091383816362 absolute error = 1.39201670135381430565363e-09 relative error = 2.8780745319007559413072465221423e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.136 y[1] (analytic) = 0.48396633354538267836710849663249 y[1] (numeric) = 0.48396633493834321823451284101923 absolute error = 1.39296053986740434438674e-09 relative error = 2.8782178497066534266335125670366e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1972.2MB, alloc=4.6MB, time=156.40 x[1] = 1.137 y[1] (analytic) = 0.48427026575708814560721710047931 y[1] (numeric) = 0.48427026715099276228245450572418 absolute error = 1.39390461667523740524487e-09 relative error = 2.8783609385888362562595063683642e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.138 y[1] (analytic) = 0.48457428900967106941504948707673 y[1] (numeric) = 0.48457429040452000113534702470764 absolute error = 1.39484893172029753763091e-09 relative error = 2.8785037988106284516080232417498e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.139 y[1] (analytic) = 0.48487840329793074996724513265676 y[1] (numeric) = 0.48487840469372423491280165952282 absolute error = 1.39579348494555652686606e-09 relative error = 2.8786464306349384608422320061984e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.14 y[1] (analytic) = 0.48518260861666542427578113173768 y[1] (numeric) = 0.48518261001340370056975503316265 absolute error = 1.39673827629397390142497e-09 relative error = 2.8787888343242599567914001515390e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1976.0MB, alloc=4.6MB, time=156.56 x[1] = 1.141 y[1] (analytic) = 0.48548690496067226665430405279669 y[1] (numeric) = 0.48548690635835557236280099297013 absolute error = 1.39768330570849694017344e-09 relative error = 2.8789310101406726330979152738186e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.142 y[1] (analytic) = 0.48579129232474738918447127690862 y[1] (numeric) = 0.48579129372337596231653195651832 absolute error = 1.39862857313206067960970e-09 relative error = 2.8790729583458429985922338481607e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.143 y[1] (analytic) = 0.48609577070368584218230173175416 y[1] (numeric) = 0.48609577210325992068988965286217 absolute error = 1.39957407850758792110801e-09 relative error = 2.8792146792010251698976744725572e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.144 y[1] (analytic) = 0.4864003400922816146645359334266 y[1] (numeric) = 0.48640034149280143644252517159217 absolute error = 1.40051982177798923816557e-09 relative error = 2.8793561729670616622715986154486e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1979.8MB, alloc=4.6MB, time=156.71 x[1] = 1.145 y[1] (analytic) = 0.48670500048532763481500524849475 y[1] (numeric) = 0.48670500188679343770116823214695 absolute error = 1.40146580288616298365220e-09 relative error = 2.8794974399043841786863552126686e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.146 y[1] (analytic) = 0.48700975187761577045101028880677 y[1] (numeric) = 0.48700975328002779222600558586985 absolute error = 1.40241202177499529706308e-09 relative error = 2.8796384802730143971550624598739e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.147 y[1] (analytic) = 0.4873145942639368294897083515473 y[1] (numeric) = 0.48731459566729530787706846332164 absolute error = 1.40335847838736011177434e-09 relative error = 2.8797792943325647563062583258808e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.148 y[1] (analytic) = 0.48761952763908056041450981708788 y[1] (numeric) = 0.48761952904338573308062897938948 absolute error = 1.40430517266611916230160e-09 relative error = 2.8799198823422392392120764509354e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.149 y[1] (analytic) = 0.48792455199783565274148341719814 y[1] (numeric) = 0.48792455340308775729560540875954 absolute error = 1.40525210455412199156140e-09 relative error = 2.8800602445608341554742624232798e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=1983.7MB, alloc=4.6MB, time=156.87 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.15 y[1] (analytic) = 0.48822966733498973748577028621283 y[1] (numeric) = 0.48822966874118901147997624434846 absolute error = 1.40619927399420595813563e-09 relative error = 2.8802003812467389215726815572766e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.151 y[1] (analytic) = 0.48853487364532938762800670777754 y[1] (numeric) = 0.4885348750524760685572029513164 absolute error = 1.40714668092919624353886e-09 relative error = 2.8803402926579368394805256701136e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.152 y[1] (analytic) = 0.48884017092364011858075546982351 y[1] (numeric) = 0.48884017233173444388266132931206 absolute error = 1.40809432530190585948855e-09 relative error = 2.8804799790520058735505784298894e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.153 y[1] (analytic) = 0.48914555916470638865494574044952 y[1] (numeric) = 0.4891455605737485957100813956278 absolute error = 1.40904220705513565517828e-09 relative error = 2.8806194406861194256772135901711e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1987.5MB, alloc=4.6MB, time=157.02 x[1] = 1.154 y[1] (analytic) = 0.48945103836331159952632137741689 y[1] (numeric) = 0.48945103977330192565799570197066 absolute error = 1.40999032613167432455377e-09 relative error = 2.8807586778170471087380305242130e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.155 y[1] (analytic) = 0.48975660851423809670189758399085 y[1] (numeric) = 0.48975660992517677917619599758271 absolute error = 1.41093868247429841359186e-09 relative error = 2.8808976907011555183198380703244e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.156 y[1] (analytic) = 0.49006226961226716998642582388964 y[1] (numeric) = 0.49006227102415444601219815147207 absolute error = 1.41188727602577232758243e-09 relative error = 2.8810364795944090027332958143496e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.157 y[1] (analytic) = 0.49036802165217905394886690813024 y[1] (numeric) = 0.49036802306501516067771524654354 absolute error = 1.41283610672884833841330e-09 relative error = 2.8811750447523704313206320933802e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1991.3MB, alloc=4.6MB, time=157.18 x[1] = 1.158 y[1] (analytic) = 0.49067386462875292838887216658784 y[1] (numeric) = 0.4906738660425381029151387584457 absolute error = 1.41378517452626659185786e-09 relative error = 2.8813133864302019610602542102230e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.159 y[1] (analytic) = 0.49097979853676691880327261711327 y[1] (numeric) = 0.49097979995150139816402773197904 absolute error = 1.41473447936075511486577e-09 relative error = 2.8814515048826658014732582433201e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.16 y[1] (analytic) = 0.49128582337099809685257604508119 y[1] (numeric) = 0.4912858247866821180276058679376 absolute error = 1.41568402117502982285641e-09 relative error = 2.8815894003641249778354866796282e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.161 y[1] (analytic) = 0.4915919391262224808274719062689 y[1] (numeric) = 0.49159194054285628073926643328437 absolute error = 1.41663379991179452701547e-09 relative error = 2.8817270731285440927002173875794e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1995.1MB, alloc=4.6MB, time=157.33 x[1] = 1.162 y[1] (analytic) = 0.49189814579721503611534396599454 y[1] (numeric) = 0.49189814721479885162908490758865 absolute error = 1.41758381551374094159411e-09 relative error = 2.8818645234294900857345996583259e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.163 y[1] (analytic) = 0.49220444337874967566679058747009 y[1] (numeric) = 0.49220444479728374359033927868144 absolute error = 1.41853406792354869121135e-09 relative error = 2.8820017515201329918754456110923e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.164 y[1] (analytic) = 0.49251083186559926046215258235368 y[1] (numeric) = 0.49251083328508381754603790051282 absolute error = 1.41948455708388531815914e-09 relative error = 2.8821387576532466978075096428271e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.165 y[1] (analytic) = 0.49281731125253559997804853651296 y[1] (numeric) = 0.49281731267297088291545482622324 absolute error = 1.42043528293740628971028e-09 relative error = 2.8822755420812096967688430628652e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=1998.9MB, alloc=4.6MB, time=157.48 x[1] = 1.166 y[1] (analytic) = 0.49312388153432945265391752403903 y[1] (numeric) = 0.49312388295571569808067252946867 absolute error = 1.42138624542675500542964e-09 relative error = 2.8824121050560058416883650830601e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.167 y[1] (analytic) = 0.49343054270575052635856912257982 y[1] (numeric) = 0.49343054412808797085313192706737 absolute error = 1.42233744449456280448755e-09 relative error = 2.8825484468292250966575727055180e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.168 y[1] (analytic) = 0.49373729476156747885674064308745 y[1] (numeric) = 0.49373729618485635894018961606429 absolute error = 1.42328888008344897297684e-09 relative error = 2.8826845676520642867435976779634e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.169 y[1] (analytic) = 0.49404413769654791827566148710471 y[1] (numeric) = 0.4940441391207884704116822383369 absolute error = 1.42424055213602075123219e-09 relative error = 2.8828204677753278461450838344781e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2002.7MB, alloc=4.6MB, time=157.64 x[1] = 1.17 y[1] (analytic) = 0.4943510715054584035716245447417 y[1] (numeric) = 0.49435107293065086416649788589449 absolute error = 1.42519246059487334115279e-09 relative error = 2.8829561474494285646970932103626e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.171 y[1] (analytic) = 0.49465809618306444499656454652346 y[1] (numeric) = 0.4946580976092090503991544600509 absolute error = 1.42614460540258991352744e-09 relative error = 2.8830916069243883327274470000567e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.172 y[1] (analytic) = 0.49496521172413050456464328231605 y[1] (numeric) = 0.4949652131512274910663848976789 absolute error = 1.42709698650174161536285e-09 relative error = 2.8832268464498388842701975023724e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.173 y[1] (analytic) = 0.49527241812341999651884160056751 y[1] (numeric) = 0.49527241955146960035372917778233 absolute error = 1.42804960383488757721482e-09 relative error = 2.8833618662750225386397271524774e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2006.5MB, alloc=4.6MB, time=157.79 x[1] = 1.174 y[1] (analytic) = 0.49557971537569528779755810112848 y[1] (numeric) = 0.49557971680469774514213302165053 absolute error = 1.42900245734457492052205e-09 relative error = 2.8834966666487929403691034488806e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.175 y[1] (analytic) = 0.49588710347571769850121443494438 y[1] (numeric) = 0.4958871049056732454745531998875 absolute error = 1.42995554697333876494312e-09 relative error = 2.8836312478196157975179024712334e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.176 y[1] (analytic) = 0.49619458241824750235886712394047 y[1] (numeric) = 0.49619458384915637502256935963653 absolute error = 1.43090887266370223569606e-09 relative error = 2.8837656100355696183524394173758e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.177 y[1] (analytic) = 0.49650215219804392719482581444842 y[1] (numeric) = 0.49650215362990636155300228534923 absolute error = 1.43186243435817647090081e-09 relative error = 2.8838997535443464464031111446904e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2010.4MB, alloc=4.6MB, time=157.94 x[1] = 1.178 y[1] (analytic) = 0.49680981280986515539527787755121 y[1] (numeric) = 0.49680981424268138739453850647615 absolute error = 1.43281623199926062892494e-09 relative error = 2.8840336785932525939036819885182e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.179 y[1] (analytic) = 0.49711756424846832437491926975259 y[1] (numeric) = 0.49711756568223858990436116548431 absolute error = 1.43377026552944189573172e-09 relative error = 2.8841673854292093736147540268835e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.18 y[1] (analytic) = 0.49742540650860952704359156740414 y[1] (numeric) = 0.49742540794333406193478705963537 absolute error = 1.43472453489119549223123e-09 relative error = 2.8843008742987538290368770636301e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.181 y[1] (analytic) = 0.49773333958504381227292508835188 y[1] (numeric) = 0.49773334102072285229990976998634 absolute error = 1.43567904002698468163446e-09 relative error = 2.8844341454480394630172484801915e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2014.2MB, alloc=4.6MB, time=158.09 x[1] = 1.182 y[1] (analytic) = 0.49804136347252518536298801429304 y[1] (numeric) = 0.49804136490915896624224879110317 absolute error = 1.43663378087926077681013e-09 relative error = 2.8845671991228369647535004151866e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.183 y[1] (analytic) = 0.49834947816580660850894142736135 y[1] (numeric) = 0.49834947960339536589940457500571 absolute error = 1.43758875739046314764436e-09 relative error = 2.8847000355685349351988656387307e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.184 y[1] (analytic) = 0.49865768365964000126770017448784 y[1] (numeric) = 0.49865768509818397077071940289111 absolute error = 1.43854396950301922840327e-09 relative error = 2.8848326550301406108729005330374e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.185 y[1] (analytic) = 0.49896597994877624102459947311264 y[1] (numeric) = 0.49896598138827565818394399821089 absolute error = 1.43949941715934452509825e-09 relative error = 2.8849650577522805860812500324626e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.186 y[1] (analytic) = 0.49927436702796516346006717185115 y[1] (numeric) = 0.49927436846842026376190979470545 absolute error = 1.44045510030184262285430e-09 relative error = 2.8850972439792015335492525514561e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2018.0MB, alloc=4.6MB, time=158.25 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.187 y[1] (analytic) = 0.49958284489195556301630157974697 y[1] (numeric) = 0.49958284633336658188920677302818 absolute error = 1.44141101887290519328121e-09 relative error = 2.8852292139547709234729066282711e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.188 y[1] (analytic) = 0.49989141353549519336395477777255 y[1] (numeric) = 0.49989141497786236617886677961973 absolute error = 1.44236717281491200184718e-09 relative error = 2.8853609679224777409903719693948e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.189 y[1] (analytic) = 0.50020007295333076786882132626559 y[1] (numeric) = 0.50020007439665432993905224152147 absolute error = 1.44332356207023091525588e-09 relative error = 2.8854925061254332020799691951114e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.19 y[1] (analytic) = 0.5005088231402079600585322820198 y[1] (numeric) = 0.5005088245844881466397501908457 absolute error = 1.44428018658121790882590e-09 relative error = 2.8856238288063714678865256961408e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2021.8MB, alloc=4.6MB, time=158.40 x[1] = 1.191 y[1] (analytic) = 0.50081766409087140408925443877553 y[1] (numeric) = 0.50081766553610845037947151264863 absolute error = 1.44523704629021707387310e-09 relative error = 2.8857549362076503574810291419746e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.192 y[1] (analytic) = 0.50112659580006469521239470488463 y[1] (numeric) = 0.50112659724625883635195532998068 absolute error = 1.44619414113956062509605e-09 relative error = 2.8858858285712520590578954739203e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.193 y[1] (analytic) = 0.50143561826253039024130953195334 y[1] (numeric) = 0.50143561970968186131287843991725 absolute error = 1.44715147107156890796391e-09 relative error = 2.8860165061387838395724700836178e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.194 y[1] (analytic) = 0.50174473147301000801801930829404 y[1] (numeric) = 0.50174473292111904404656971440156 absolute error = 1.44810903602855040610752e-09 relative error = 2.8861469691514787528242063590215e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2025.6MB, alloc=4.6MB, time=158.56 x[1] = 1.195 y[1] (analytic) = 0.50205393542624402987992763104687 y[1] (numeric) = 0.50205393687531086583272937975985 absolute error = 1.44906683595280174871298e-09 relative error = 2.8862772178501963459879793914921e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.196 y[1] (analytic) = 0.50236323011697190012654537085961 y[1] (numeric) = 0.50236323156699677091315308877791 absolute error = 1.45002487078660771791830e-09 relative error = 2.8864072524754233645985765111076e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.197 y[1] (analytic) = 0.50267261553993202648621944304358 y[1] (numeric) = 0.50267261699091516695846069925626 absolute error = 1.45098314047224125621268e-09 relative error = 2.8865370732672744559913605307301e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.198 y[1] (analytic) = 0.50298209168986178058286619915151 y[1] (numeric) = 0.5029820931418034255348296729903 absolute error = 1.45194164495196347383879e-09 relative error = 2.8866666804654928712037053880590e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2029.4MB, alloc=4.6MB, time=158.71 x[1] = 1.199 y[1] (analytic) = 0.50329165856149749840270935295257 y[1] (numeric) = 0.50329166001439788257073300915021 absolute error = 1.45290038416802365619764e-09 relative error = 2.8867960743094511653402395827453e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.2 y[1] (analytic) = 0.50360131614957448076102235480761 y[1] (numeric) = 0.5036013176034338388236816260641 absolute error = 1.45385935806265927125649e-09 relative error = 2.8869252550381518964066336836008e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.201 y[1] (analytic) = 0.50391106444882699376887512847719 y[1] (numeric) = 0.50391106590364556034697110543669 absolute error = 1.45481856657809597695950e-09 relative error = 2.8870542228902283226151646202630e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.202 y[1] (analytic) = 0.50422090345398826929988508442349 y[1] (numeric) = 0.5042209049097662789564327130645 absolute error = 1.45577800965654762864101e-09 relative error = 2.8871829781039450981656584587846e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2033.2MB, alloc=4.6MB, time=158.86 x[1] = 1.203 y[1] (analytic) = 0.50453083315979050545697232369544 y[1] (numeric) = 0.50453083461652819269718861013729 absolute error = 1.45673768724021628644185e-09 relative error = 2.8873115209171989675064145363154e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.204 y[1] (analytic) = 0.5048408535609648670391189465159 y[1] (numeric) = 0.50484085501866246631041116924425 absolute error = 1.45769759927129222272835e-09 relative error = 2.8874398515675194580782532283652e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.205 y[1] (analytic) = 0.50515096465224148600813237971803 y[1] (numeric) = 0.5051509661108992317000863092323 absolute error = 1.45865774569195392951427e-09 relative error = 2.8875679702920695715459109555287e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.206 y[1] (analytic) = 0.50546116642834946195541263720741 y[1] (numeric) = 0.50546116788796758839978076309262 absolute error = 1.45961812644436812588521e-09 relative error = 2.8876958773276464735196875224609e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2037.1MB, alloc=4.6MB, time=159.02 x[1] = 1.207 y[1] (analytic) = 0.50577145888401686256872342765417 y[1] (numeric) = 0.50577146034459560403941319308041 absolute error = 1.46057874147068976542624e-09 relative error = 2.8878235729106821817725776264421e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.208 y[1] (analytic) = 0.50608184201397072409896702364977 y[1] (numeric) = 0.50608184347551031481202906730171 absolute error = 1.46153959071306204365194e-09 relative error = 2.8879510572772442529550378700930e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.209 y[1] (analytic) = 0.50639231581293705182696280659052 y[1] (numeric) = 0.50639231727543772594057921203004 absolute error = 1.46250067411361640543952e-09 relative error = 2.8880783306630364678124605764855e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.21 y[1] (analytic) = 0.5067028802756408205302294015799 y[1] (numeric) = 0.50670288173910281214470195404449 absolute error = 1.46346199161447255246459e-09 relative error = 2.8882053933033995149082378051453e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2040.9MB, alloc=4.6MB, time=159.17 x[1] = 1.211 y[1] (analytic) = 0.5070135353968059749497703166701 y[1] (numeric) = 0.50701353686122951810750876730982 absolute error = 1.46442354315773845063972e-09 relative error = 2.8883322454333116728564168966672e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.212 y[1] (analytic) = 0.50732428117115543025686300079245 y[1] (numeric) = 0.50732428263654075894237333834813 absolute error = 1.46538532868551033755568e-09 relative error = 2.8884588872873894910674442972790e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.213 y[1] (analytic) = 0.50763511759341107251985123475467 y[1] (numeric) = 0.50763511905975842065972396468048 absolute error = 1.46634734813987272992581e-09 relative error = 2.8885853190998884690115882264605e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.214 y[1] (analytic) = 0.50794604465829375917094076971337 y[1] (numeric) = 0.50794604612560336063383920074606 absolute error = 1.46730960146289843103269e-09 relative error = 2.8887115411047037340020960809887e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2044.7MB, alloc=4.6MB, time=159.32 x[1] = 1.215 y[1] (analytic) = 0.50825706236052331947299812755729 y[1] (numeric) = 0.5082570638287954080696466657353 absolute error = 1.46827208859664853817801e-09 relative error = 2.8888375535353707175035439279165e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.216 y[1] (analytic) = 0.50856817069481855498635247766753 y[1] (numeric) = 0.50856817216405336446952492780248 absolute error = 1.46923480948317245013495e-09 relative error = 2.8889633566250658299676900250545e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.217 y[1] (analytic) = 0.50887936965589724003560050454895 y[1] (numeric) = 0.50887937112609500410010837915235 absolute error = 1.47019776406450787460340e-09 relative error = 2.8890889506066071342011450862823e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.218 y[1] (analytic) = 0.50919065923847612217641418085644 y[1] (numeric) = 0.50919066070963707445909501652446 absolute error = 1.47116095228268083566802e-09 relative error = 2.8892143357124550172685104972222e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2048.5MB, alloc=4.6MB, time=159.48 x[1] = 1.219 y[1] (analytic) = 0.50950203943727092266235136036896 y[1] (numeric) = 0.50950204090939529674205704162788 absolute error = 1.47212437407970568125892e-09 relative error = 2.8893395121747128609341936819164e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.22 y[1] (analytic) = 0.5098135102469963369116691054931 y[1] (numeric) = 0.5098135117200843663092541961082 absolute error = 1.47308802939758509061510e-09 relative error = 2.8894644802251277106468078931397e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.221 y[1] (analytic) = 0.51012507166236603497413966390637 y[1] (numeric) = 0.51012507313641795315244974565767 absolute error = 1.47405191817831008175130e-09 relative error = 2.8895892400950909430710519577561e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.222 y[1] (analytic) = 0.51043672367809266199786900898255 y[1] (numeric) = 0.5104367251531087023617290279088 absolute error = 1.47501604036386001892625e-09 relative error = 2.8897137920156389321667379425402e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.223 y[1] (analytic) = 0.5107484662888878386961178586656 y[1] (numeric) = 0.51074846776486823459232047878051 absolute error = 1.47598039589620262011491e-09 relative error = 2.8898381362174537138236502573745e-07 % Correct digits = 8 h = 0.001 memory used=2052.3MB, alloc=4.6MB, time=159.63 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.224 y[1] (analytic) = 0.51106029948946216181412508749248 y[1] (numeric) = 0.51106030096640714653141905197548 absolute error = 1.47694498471729396448300e-09 relative error = 2.8899622729308636490524905485539e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.225 y[1] (analytic) = 0.51137222327452520459593344649218 y[1] (numeric) = 0.51137222475243501136501194635637 absolute error = 1.47790980676907849986419e-09 relative error = 2.8900862023858440857362169129859e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.226 y[1] (analytic) = 0.51168423763878551725121750571728 y[1] (numeric) = 0.51168423911766037924470655595783 absolute error = 1.47887486199348905024055e-09 relative error = 2.8902099248120180189465219223537e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.227 y[1] (analytic) = 0.511996342576950627422113734196 y[1] (numeric) = 0.51199634405679077775456055742057 absolute error = 1.47984015033244682322457e-09 relative error = 2.8903334404386567498257055741526e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2056.1MB, alloc=4.6MB, time=159.78 x[1] = 1.228 y[1] (analytic) = 0.51230853808372704065005263211729 y[1] (numeric) = 0.51230853956453271237791404966291 absolute error = 1.48080567172786141754562e-09 relative error = 2.8904567494946805430431063484544e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.229 y[1] (analytic) = 0.51262082415382024084259283009714 y[1] (numeric) = 0.51262082563559166696422366063463 absolute error = 1.48177142612163083053749e-09 relative error = 2.8905798522086592828230630770155e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.23 y[1] (analytic) = 0.51293320078193469074025707039722 y[1] (numeric) = 0.51293320226467210419589853602722 absolute error = 1.48273741345564146563000e-09 relative error = 2.8907027488088131275537822266445e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.231 y[1] (analytic) = 0.51324566796277383238336998500184 y[1] (numeric) = 0.51324566944647746605513812484397 absolute error = 1.48370363367176813984213e-09 relative error = 2.8908254395230131629756528650881e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2060.0MB, alloc=4.6MB, time=159.94 x[1] = 1.232 y[1] (analytic) = 0.51355822569104008757889758548336 y[1] (numeric) = 0.51355822717571017429077167676272 absolute error = 1.48467008671187409127936e-09 relative error = 2.8909479245787820539577693216425e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.233 y[1] (analytic) = 0.51387087396143485836728837962136 y[1] (numeric) = 0.51387087544707163088509936625338 absolute error = 1.48563677251781098663202e-09 relative error = 2.8910702042032946948599242192148e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.234 y[1] (analytic) = 0.51418361276865852748931602976404 y[1] (numeric) = 0.51418361425526221852073495844186 absolute error = 1.48660369103141892867782e-09 relative error = 2.8911922786233788584897437217620e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.235 y[1] (analytic) = 0.51449644210741045885292346795484 y[1] (numeric) = 0.51449644359498130104744993174141 absolute error = 1.48757084219452646378657e-09 relative error = 2.8913141480655158436545678562960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2063.8MB, alloc=4.6MB, time=160.09 x[1] = 1.236 y[1] (analytic) = 0.51480936197238899800006838287492 y[1] (numeric) = 0.5148093634609272239490189723018 absolute error = 1.48853822594895058942688e-09 relative error = 2.8914358127558411213111455226773e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.237 y[1] (analytic) = 0.51512237235829147257356999367885 y[1] (numeric) = 0.51512237384779731481006675535619 absolute error = 1.48950584223649676167734e-09 relative error = 2.8915572729201449793214669972724e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.238 y[1] (analytic) = 0.51543547325981419278395702583642 y[1] (numeric) = 0.51543547475028788378291592857516 absolute error = 1.49047369099895890273874e-09 relative error = 2.8916785287838731658114992634466e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.239 y[1] (analytic) = 0.51574866467165245187631680411732 y[1] (numeric) = 0.51574866616309422405443621256669 absolute error = 1.49144177217811940844937e-09 relative error = 2.8917995805721275311402377085562e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2067.6MB, alloc=4.6MB, time=160.25 x[1] = 1.24 y[1] (analytic) = 0.51606194658850052659714537788652 y[1] (numeric) = 0.51606194808091061231289453369059 absolute error = 1.49241008571574915580407e-09 relative error = 2.8919204285096666684838041757345e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.241 y[1] (analytic) = 0.5163753190050516776611985939103 y[1] (numeric) = 0.5163753204984303092148061043852 absolute error = 1.49337863155360751047490e-09 relative error = 2.8920410728209065530338831131603e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.242 y[1] (analytic) = 0.51668878191599815021834403189958 y[1] (numeric) = 0.516688783410345559851786366234 absolute error = 1.49434740963344233433442e-09 relative error = 2.8921615137299211798158365544815e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.243 y[1] (analytic) = 0.51700233531603117432041371804634 y[1] (numeric) = 0.5170023368113475942174037110291 absolute error = 1.49531641989698999298276e-09 relative error = 2.8922817514604432001321873551671e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2071.4MB, alloc=4.6MB, time=160.40 x[1] = 1.244 y[1] (analytic) = 0.51731597919984096538805753184205 y[1] (numeric) = 0.51731598069612662767403289511838 absolute error = 1.49628566228597536327633e-09 relative error = 2.8924017862358645566307025113782e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.245 y[1] (analytic) = 0.5176297135621167246775972214927 y[1] (numeric) = 0.51762971505937186141970906235254 absolute error = 1.49725513674211184085984e-09 relative error = 2.8925216182792371170036989412876e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.246 y[1] (analytic) = 0.5179435383975466397478809432773 y[1] (numeric) = 0.51794353989577148295498229097802 absolute error = 1.49822484320710134770072e-09 relative error = 2.8926412478132733063201878049236e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.247 y[1] (analytic) = 0.51825745370081788492713824022505 y[1] (numeric) = 0.51825745520001266654977257985142 absolute error = 1.49919478162263433962637e-09 relative error = 2.8927606750603467379950581918681e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2075.2MB, alloc=4.6MB, time=160.55 x[1] = 1.248 y[1] (analytic) = 0.51857145946661662177983537551665 y[1] (numeric) = 0.5185714609667815737102251893807 absolute error = 1.50016495193038981386405e-09 relative error = 2.8928799002424928433982920480524e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.249 y[1] (analytic) = 0.5188855556896279995735309360447 y[1] (numeric) = 0.51888555719076335364556625262816 absolute error = 1.50113535407203531658346e-09 relative error = 2.8929989235814095001076572120479e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.25 y[1] (analytic) = 0.51919974236453615574573162159775 y[1] (numeric) = 0.51919974386664214373495857203988 absolute error = 1.50210598798922695044213e-09 relative error = 2.8931177452984576588084505056496e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.251 y[1] (analytic) = 0.5195140194860242163707481351627 y[1] (numeric) = 0.51951402098910106999435751729617 absolute error = 1.50307685362360938213347e-09 relative error = 2.8932363656146619688433327366116e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2079.0MB, alloc=4.6MB, time=160.70 x[1] = 1.252 y[1] (analytic) = 0.51982838704877429662655108986985 y[1] (numeric) = 0.51982838855282224754336693980713 absolute error = 1.50404795091681584993728e-09 relative error = 2.8933547847507114024151934628424e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.253 y[1] (analytic) = 0.5201428450474675012616268481344 y[1] (numeric) = 0.52014284655248678107209501940739 absolute error = 1.50501927981046817127299e-09 relative error = 2.8934730029269598774468796300996e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.254 y[1] (analytic) = 0.5204573934767839250618332085779 y[1] (numeric) = 0.52045739498277476530800995883385 absolute error = 1.50599084024617675025595e-09 relative error = 2.8935910203634268791017065810613e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.255 y[1] (analytic) = 0.5207720323314026533172548563438 y[1] (numeric) = 0.52077203383836528548279544159997 absolute error = 1.50696263216554058525617e-09 relative error = 2.8937088372797980799668912164674e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2082.8MB, alloc=4.6MB, time=160.86 x[1] = 1.256 y[1] (analytic) = 0.5210867616060017622890584924506 y[1] (numeric) = 0.52108676311393641779920576891012 absolute error = 1.50793465551014727645952e-09 relative error = 2.8938264538954259589032141866054e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.257 y[1] (analytic) = 0.52140158129525831967634755785565 y[1] (numeric) = 0.52140158280416522989792059128732 absolute error = 1.50890691022157303343167e-09 relative error = 2.8939438704293304185647266439394e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.258 y[1] (analytic) = 0.52171649139384838508301646793225 y[1] (numeric) = 0.52171649290372778132439915061751 absolute error = 1.50987939624138268268526e-09 relative error = 2.8940610871001994015927079504058e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.259 y[1] (analytic) = 0.52203149189644701048460427309475 y[1] (numeric) = 0.52203149340729912399573394834352 absolute error = 1.51085211351112967524877e-09 relative error = 2.8941781041263895054841976752632e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.26 y[1] (analytic) = 0.52234658279772824069514766133265 y[1] (numeric) = 0.52234658430955330266750375557172 absolute error = 1.51182506197235609423907e-09 relative error = 2.8942949217259265961421500563118e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2086.7MB, alloc=4.6MB, time=161.02 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.261 y[1] (analytic) = 0.52266176409236511383403321844845 y[1] (numeric) = 0.52266176560516335540062588088434 absolute error = 1.51279824156659266243589e-09 relative error = 2.8944115401165064201070761300685e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.262 y[1] (analytic) = 0.52297703577502966179284886182115 y[1] (numeric) = 0.52297703728880131402820761168032 absolute error = 1.51377165223535874985917e-09 relative error = 2.8945279595154952154752470549529e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.263 y[1] (analytic) = 0.5232923978403929107022343635486 y[1] (numeric) = 0.52329239935513820462239674489763 absolute error = 1.51474529392016238134903e-09 relative error = 2.8946441801399303215061829693886e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.264 y[1] (analytic) = 0.5236078502831248813987308788511 y[1] (numeric) = 0.52360785179884404796123112299997 absolute error = 1.51571916656250024414887e-09 relative error = 2.8947602022065207869236158038678e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2090.5MB, alloc=4.6MB, time=161.17 x[1] = 1.265 y[1] (analytic) = 0.5239233930978945898916293956505 y[1] (numeric) = 0.5239233946145878599954870911407 absolute error = 1.51669327010385769549020e-09 relative error = 2.8948760259316479769104553377389e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.266 y[1] (analytic) = 0.5242390262793700478298180212658 y[1] (numeric) = 0.52423902779703765231552679144699 absolute error = 1.51766760448570877018119e-09 relative error = 2.8949916515313661788047583561593e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.267 y[1] (analytic) = 0.5245547498222182629686280222004 y[1] (numeric) = 0.5245547513408604326181442103972 absolute error = 1.51864216964951618819680e-09 relative error = 2.8951070792214032064958003042485e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.268 y[1] (analytic) = 0.5248705637211052396366785330223 y[1] (numeric) = 0.52487056524072220517340989529449 absolute error = 1.51961696553673136227219e-09 relative error = 2.8952223092171610035266758121556e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2094.3MB, alloc=4.6MB, time=161.32 x[1] = 1.269 y[1] (analytic) = 0.52518646797069597920271985037085 y[1] (numeric) = 0.52518646949128797129151425586998 absolute error = 1.52059199208879440549913e-09 relative error = 2.8953373417337162449060600025958e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.27 y[1] (analytic) = 0.52550246256565448054247522815475 y[1] (numeric) = 0.52550246408722172978960936707858 absolute error = 1.52156724924713413892383e-09 relative error = 2.8954521769858209376292825243331e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.271 y[1] (analytic) = 0.5258185475006437405054810900324 y[1] (numeric) = 0.52581854902318647745864918918106 absolute error = 1.52254273695316809914866e-09 relative error = 2.8955668151879030199165742994395e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.272 y[1] (analytic) = 0.5261347227703257543819255752998 y[1] (numeric) = 0.5261347242938442095302281212358 absolute error = 1.52351845514830254593600e-09 relative error = 2.8956812565540669591682759118832e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2098.1MB, alloc=4.6MB, time=161.48 x[1] = 1.273 y[1] (analytic) = 0.52645098836936151636948533433975 y[1] (numeric) = 0.52645098989385592014341780415411 absolute error = 1.52449440377393246981436e-09 relative error = 2.8957955012980943486404131024225e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.274 y[1] (analytic) = 0.52676734429241102004016048981505 y[1] (numeric) = 0.52676734581788160281160208950292 absolute error = 1.52547058277144159968787e-09 relative error = 2.8959095496334445028458573560249e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.275 y[1] (analytic) = 0.5270837905341332588071076798212 y[1] (numeric) = 0.5270837920605802508893100902691 absolute error = 1.52644699208220241044790e-09 relative error = 2.8960234017732550516818314095129e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.276 y[1] (analytic) = 0.52740032708918622639147109924245 y[1] (numeric) = 0.52740032861660985803904722982973 absolute error = 1.52742363164757613058728e-09 relative error = 2.8961370579303425332877645730849e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2101.9MB, alloc=4.6MB, time=161.63 x[1] = 1.277 y[1] (analytic) = 0.52771695395222691728921145558555 y[1] (numeric) = 0.52771695548062741869812420540299 absolute error = 1.52840050140891274981744e-09 relative error = 2.8962505183172029856372056798042e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.278 y[1] (analytic) = 0.5280336711179113272379327555966 y[1] (numeric) = 0.52803367264728892854548378228453 absolute error = 1.52937760130755102668793e-09 relative error = 2.8963637831460125368658613645216e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.279 y[1] (analytic) = 0.5283504785808944536837068389958 y[1] (numeric) = 0.52835048011124938496852533520456 absolute error = 1.53035493128481849620876e-09 relative error = 2.8964768526286279943396786251272e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.28 y[1] (analytic) = 0.5286673763358302962478955756959 y[1] (numeric) = 0.52866737786716278752992705317112 absolute error = 1.53133249128203147747522e-09 relative error = 2.8965897269765874324654027442041e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2105.7MB, alloc=4.6MB, time=161.79 x[1] = 1.281 y[1] (analytic) = 0.52898436437737185719397064290015 y[1] (numeric) = 0.52898436590968213843446572419533 absolute error = 1.53231028124049508129518e-09 relative error = 2.8967024064011107792466790385376e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.282 y[1] (analytic) = 0.5293014427001711418943307985057 y[1] (numeric) = 0.5293014442334594429958340163249 absolute error = 1.53328830110150321781920e-09 relative error = 2.8968148911131004015893819482155e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.283 y[1] (analytic) = 0.5296186112988791592971165672688 y[1] (numeric) = 0.52961861283314571010345517144227 absolute error = 1.53426655080633860417347e-09 relative error = 2.8969271813231416893592582699177e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.284 y[1] (analytic) = 0.52993587016814592239302225622 y[1] (numeric) = 0.52993587170339095268929502831448 absolute error = 1.53524503029627277209448e-09 relative error = 2.8970392772415036381928493366382e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2109.5MB, alloc=4.6MB, time=161.94 x[1] = 1.285 y[1] (analytic) = 0.53025321930262044868210521584405 y[1] (numeric) = 0.53025322083884418819467129141189 absolute error = 1.53622373951256607556784e-09 relative error = 2.8971511790781394310692968900683e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.286 y[1] (analytic) = 0.530570658696950760640592263576 y[1] (numeric) = 0.53057066023415343903705996204373 absolute error = 1.53720267839646769846773e-09 relative error = 2.8972628870426870186394117160767e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.287 y[1] (analytic) = 0.5308881883457838861876831861879 y[1] (numeric) = 0.53088818988396573307689884838843 absolute error = 1.53818184688921566220053e-09 relative error = 2.8973744013444696983217249201285e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.288 y[1] (analytic) = 0.5312058082437658591523512376769 y[1] (numeric) = 0.53120580978292710408438807102753 absolute error = 1.53916124493203683335063e-09 relative error = 2.8974857221924966921647534858140e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2113.4MB, alloc=4.6MB, time=162.09 x[1] = 1.289 y[1] (analytic) = 0.53152351838554171974014054929415 y[1] (numeric) = 0.53152351992568259220628748062226 absolute error = 1.54014087246614693132811e-09 relative error = 2.8975968497954637234779011106853e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.29 y[1] (analytic) = 0.53184131876575551499996036838215 y[1] (numeric) = 0.53184132030687624443271090440239 absolute error = 1.54112072943275053602024e-09 relative error = 2.8977077843617535922376592646014e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.291 y[1] (analytic) = 0.53215920937905029929087604272315 y[1] (numeric) = 0.53215921092115111506391713816748 absolute error = 1.54210081577304109544433e-09 relative error = 2.8978185260994367492674419001870e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.292 y[1] (analytic) = 0.5324771902200681347488966671269 y[1] (numeric) = 0.53247719176314926617709760053126 absolute error = 1.54308113142820093340436e-09 relative error = 2.8979290752162718691986035632985e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.293 y[1] (analytic) = 0.53279526128345009175375930902135 y[1] (numeric) = 0.53279526282751176809316056617031 absolute error = 1.54406167633940125714896e-09 relative error = 2.8980394319197064222110389795876e-07 % Correct digits = 8 h = 0.001 memory used=2117.2MB, alloc=4.6MB, time=162.25 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.294 y[1] (analytic) = 0.53311342256383624939570972983575 y[1] (numeric) = 0.53311342410887869984351189486888 absolute error = 1.54504245044780216503313e-09 relative error = 2.8981495964168772445608171169092e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.295 y[1] (analytic) = 0.5334316740558656959422795190008 y[1] (numeric) = 0.53343167560188914963683217318226 absolute error = 1.54602345369455265418146e-09 relative error = 2.8982595689146111078935935519016e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.296 y[1] (analytic) = 0.53375001575417652930505955741665 y[1] (numeric) = 0.53375001730118121532585018557162 absolute error = 1.54700468602079062815497e-09 relative error = 2.8983693496194252873507255916164e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.297 y[1] (analytic) = 0.5340684476534058575064697272743 y[1] (numeric) = 0.53406844920139200487411263189411 absolute error = 1.54798614736764290461981e-09 relative error = 2.8984789387375281284677225980067e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2121.0MB, alloc=4.6MB, time=162.40 x[1] = 1.298 y[1] (analytic) = 0.5343869697481897991465247851437 y[1] (numeric) = 0.53438697129715763682275000816233 absolute error = 1.54896783767622522301863e-09 relative error = 2.8985883364748196128694809398766e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.299 y[1] (analytic) = 0.5347055820331634838695963152736 y[1] (numeric) = 0.53470558358311324075723856751828 absolute error = 1.54994975688764225224468e-09 relative error = 2.8986975430368919227653351182502e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.3 y[1] (analytic) = 0.5350242845029610528311706800787 y[1] (numeric) = 0.53502428605389295777415827839734 absolute error = 1.55093190494298759831864e-09 relative error = 2.8988065586290300042468359671169e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.301 y[1] (analytic) = 0.5353430771522156591646028848213 y[1] (numeric) = 0.53534307870412994094794669688861 absolute error = 1.55191428178334381206731e-09 relative error = 2.8989153834562121293895337664214e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2124.8MB, alloc=4.6MB, time=162.56 x[1] = 1.302 y[1] (analytic) = 0.53566195997555946844786627352285 y[1] (numeric) = 0.53566196152845635579764867032877 absolute error = 1.55289688734978239680592e-09 relative error = 2.8990240177231104571649537417161e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.303 y[1] (analytic) = 0.53598093296762365917029797317545 y[1] (numeric) = 0.53598093452150338075366178919718 absolute error = 1.55387972158336381602173e-09 relative error = 2.8991324616340915931612969979699e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.304 y[1] (analytic) = 0.53629999612303842319934000334905 y[1] (numeric) = 0.53629999767790120762447750441084 absolute error = 1.55486278442513750106179e-09 relative error = 2.8992407153932171481211088490898e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.305 y[1] (analytic) = 0.53661914943643296624727596832745 y[1] (numeric) = 0.53661915099227904206341782714854 absolute error = 1.55584607581614185882109e-09 relative error = 2.8993487792042442952917493921196e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2128.6MB, alloc=4.6MB, time=162.71 x[1] = 1.306 y[1] (analytic) = 0.5369383929024355083379632489286 y[1] (numeric) = 0.53693839445926510403536752836437 absolute error = 1.55682959569740427943577e-09 relative error = 2.8994566532706263266002455618956e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.307 y[1] (analytic) = 0.53725772651567328427356061120485 y[1] (numeric) = 0.53725772807348662828350175518149 absolute error = 1.55781334400994114397664e-09 relative error = 2.8995643377955132076465211991617e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.308 y[1] (analytic) = 0.5375771502707725441012511492413 y[1] (numeric) = 0.53757715182956986479600898138808 absolute error = 1.55879732069475783214678e-09 relative error = 2.8996718329817521315248848732829e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.309 y[1] (analytic) = 0.53789666416235855357996047930735 y[1] (numeric) = 0.53789666572214007927280920928799 absolute error = 1.55978152569284872998064e-09 relative error = 2.8997791390318880714718088166085e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2132.4MB, alloc=4.6MB, time=162.86 x[1] = 1.31 y[1] (analytic) = 0.538216268185055594647070102643 y[1] (numeric) = 0.53821626974582155359226734018973 absolute error = 1.56076595894519723754673e-09 relative error = 2.8998862561481643323467242354873e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.311 y[1] (analytic) = 0.53853596233348696588512585419655 y[1] (numeric) = 0.5385359638952375862779016308481 absolute error = 1.56175062039277577665155e-09 relative error = 2.8999931845325231009442875100887e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.312 y[1] (analytic) = 0.53885574660227498298854135465655 y[1] (numeric) = 0.53885574816501049296508715320388 absolute error = 1.56273550997654579854733e-09 relative error = 2.9000999243866059951457153160617e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.313 y[1] (analytic) = 0.53917562098604097923029638315625 y[1] (numeric) = 0.53917562254976160686775417479781 absolute error = 1.56372062763745779164156e-09 relative error = 2.9002064759117546119082433717189e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2136.2MB, alloc=4.6MB, time=163.02 x[1] = 1.314 y[1] (analytic) = 0.53949558547940530592863008805685 y[1] (numeric) = 0.53949558704411127924508137726601 absolute error = 1.56470597331645128920916e-09 relative error = 2.9003128393090110740970934718848e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.315 y[1] (analytic) = 0.53981564007698733291372895324795 y[1] (numeric) = 0.53981564164267887986818383035503 absolute error = 1.56569154695445487710708e-09 relative error = 2.9004190147791185761623547275419e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.316 y[1] (analytic) = 0.54013578477340544899440943743375 y[1] (numeric) = 0.5401357863400827974867956389257 absolute error = 1.56667734849238620149195e-09 relative error = 2.9005250025225219286647158368058e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.317 y[1] (analytic) = 0.5404560195632770624247952039063 y[1] (numeric) = 0.54045602113094044029594718044586 absolute error = 1.56766337787115197653956e-09 relative error = 2.9006308027393681016505676674852e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2140.1MB, alloc=4.6MB, time=163.17 x[1] = 1.318 y[1] (analytic) = 0.54077634444121860137098885833595 y[1] (numeric) = 0.5407763460098682364026368505032 absolute error = 1.56864963503164799216725e-09 relative error = 2.9007364156295067668812517413460e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.319 y[1] (analytic) = 0.5410967594018455143777381121413 y[1] (numeric) = 0.54109676097148163429249723390034 absolute error = 1.56963611991475912175904e-09 relative error = 2.9008418413924908389189030834802e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.32 y[1] (analytic) = 0.54141726443977227083509628903315 y[1] (numeric) = 0.54141726601039510329645561892546 absolute error = 1.57062283246135932989231e-09 relative error = 2.9009470802275770150694459534328e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.321 y[1] (analytic) = 0.5417378595496123614450770923544 y[1] (numeric) = 0.54173786112122213405738877242274 absolute error = 1.57160977261231168006834e-09 relative error = 2.9010521323337263141897645973875e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2143.9MB, alloc=4.6MB, time=163.33 x[1] = 1.322 y[1] (analytic) = 0.54205854472597829868830355087395 y[1] (numeric) = 0.54205854629857523899677189331814 absolute error = 1.57259694030846834244419e-09 relative error = 2.9011569979096046143571330201412e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.323 y[1] (analytic) = 0.54237931996348161729065106071905 y[1] (numeric) = 0.54237932153706595278132166228689 absolute error = 1.57358433549067060156784e-09 relative error = 2.9012616771535831894071885278460e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.324 y[1] (analytic) = 0.54270018525673287468988444116505 y[1] (numeric) = 0.54270018683130483278963330528049 absolute error = 1.57457195809974886411544e-09 relative error = 2.9013661702637392443410527063413e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.325 y[1] (analytic) = 0.54302114060034165150228892203085 y[1] (numeric) = 0.54302114217590145957881158866191 absolute error = 1.57555980807652266663106e-09 relative error = 2.9014704774378564496050421365299e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.326 y[1] (analytic) = 0.54334218598891655198929498045985 y[1] (numeric) = 0.54334218756546443735109566372906 absolute error = 1.57654788536180068326921e-09 relative error = 2.9015745988734254742461795201078e-07 % Correct digits = 8 h = 0.001 memory used=2147.7MB, alloc=4.6MB, time=163.48 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.327 y[1] (analytic) = 0.5436633214170652045240969448977 y[1] (numeric) = 0.54366332299460139442047767843755 absolute error = 1.57753618989638073353985e-09 relative error = 2.9016785347676445179456945401997e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.328 y[1] (analytic) = 0.5439845468793942620582652841101 y[1] (numeric) = 0.5439845484579189836793150741652 absolute error = 1.57852472162104979005510e-09 relative error = 2.9017822853174198419317613722809e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.329 y[1] (analytic) = 0.5443058623705094025883524991119 y[1] (numeric) = 0.5443058639500228830649364853918 absolute error = 1.57951348047658398627990e-09 relative error = 2.9018858507193662987783044129929e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.33 y[1] (analytic) = 0.5446272678850153296224925359153 y[1] (numeric) = 0.54462726946551779602624116019893 absolute error = 1.58050246640374862428363e-09 relative error = 2.9019892311698078610870557188674e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2151.5MB, alloc=4.6MB, time=163.63 x[1] = 1.331 y[1] (analytic) = 0.54494876341751577264699363703055 y[1] (numeric) = 0.54494876499900745199029181952591 absolute error = 1.58149167934329818249536e-09 relative error = 2.9020924268647781490604526378753e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.332 y[1] (analytic) = 0.5452703489626134875929245496882 y[1] (numeric) = 0.54527035054509460682890087314916 absolute error = 1.58248111923597632346096e-09 relative error = 2.9021954380000209569647909725686e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.333 y[1] (analytic) = 0.5455920245149102573026940087809 y[1] (numeric) = 0.54559202609838104332520991038366 absolute error = 1.58347078602251590160276e-09 relative error = 2.9022982647709907784875660052958e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.334 y[1] (analytic) = 0.54591379006900689199662341255435 y[1] (numeric) = 0.54591379165346757164026238353636 absolute error = 1.58446067964363897098201e-09 relative error = 2.9024009073728533309921145551617e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2155.3MB, alloc=4.6MB, time=163.79 x[1] = 1.335 y[1] (analytic) = 0.5462356456195032297395126091093 y[1] (numeric) = 0.5462356472049540297795694021728 absolute error = 1.58545080004005679306350e-09 relative error = 2.9025033660004860786710325752436e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.336 y[1] (analytic) = 0.54655759116099813690719871180705 y[1] (numeric) = 0.54655759274743928405966855628959 absolute error = 1.58644114715246984448254e-09 relative error = 2.9026056408484787546013780710841e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.337 y[1] (analytic) = 0.5468796266880895086531078617019 y[1] (numeric) = 0.54687962827552122957467568651659 absolute error = 1.58743172092156782481469e-09 relative error = 2.9027077321111338817050076865559e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.338 y[1] (analytic) = 0.54720175219537426937479985515595 y[1] (numeric) = 0.54720175378379679066282951950424 absolute error = 1.58842252128802966434829e-09 relative error = 2.9028096399824672926167634917914e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2159.1MB, alloc=4.6MB, time=163.94 x[1] = 1.339 y[1] (analytic) = 0.5475239676774483731805055548243 y[1] (numeric) = 0.54752396926686192137302908668267 absolute error = 1.58941354819252353185837e-09 relative error = 2.9029113646562086484605341856548e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.34 y[1] (analytic) = 0.54784627312890680435565700222665 y[1] (numeric) = 0.54784627471931160593136384461079 absolute error = 1.59040480157570684238414e-09 relative error = 2.9030129063258019565398277690873e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.341 y[1] (analytic) = 0.5481686685443435778294101501566 y[1] (numeric) = 0.54816867013573985920763641516491 absolute error = 1.59139628137822626500831e-09 relative error = 2.9031142651844060869422609673943e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.342 y[1] (analytic) = 0.54849115391835173964116013320895 y[1] (numeric) = 0.54849115551073972718187786384789 absolute error = 1.59238798754071773063894e-09 relative error = 2.9032154414248952880618455028339e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2163.0MB, alloc=4.6MB, time=164.09 x[1] = 1.343 y[1] (analytic) = 0.54881372924552336740704899473715 y[1] (numeric) = 0.54881373083890328741085543453133 absolute error = 1.59337992000380643979418e-09 relative error = 2.9033164352398597010423187813952e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.344 y[1] (analytic) = 0.54913639452044957078646578858615 y[1] (numeric) = 0.54913639611482164949457265897483 absolute error = 1.59437207870810687038868e-09 relative error = 2.9034172468216058731418792504903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.345 y[1] (analytic) = 0.54945914973772049194853897397455 y[1] (numeric) = 0.54945915133308495554276175949764 absolute error = 1.59536446359422278552309e-09 relative error = 2.9035178763621572700244949012160e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.346 y[1] (analytic) = 0.54978199489192530603862102193415 y[1] (numeric) = 0.54978199648828238064136826320988 absolute error = 1.59635707460274724127573e-09 relative error = 2.9036183240532547869786780555174e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2166.8MB, alloc=4.6MB, time=164.25 x[1] = 1.347 y[1] (analytic) = 0.55010492997765222164476515174465 y[1] (numeric) = 0.55010493157500213331902774624174 absolute error = 1.59734991167426259449709e-09 relative error = 2.9037185900863572590674927155805e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.348 y[1] (analytic) = 0.55042795498948848126419411583485 y[1] (numeric) = 0.55042795658783145601353462644077 absolute error = 1.59834297474934051060592e-09 relative error = 2.9038186746526419702100963552541e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.349 y[1] (analytic) = 0.5507510699220203617697609516506 y[1] (numeric) = 0.55075107152135662553830292303897 absolute error = 1.59933626376854197138837e-09 relative error = 2.9039185779430051612000241360807e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.35 y[1] (analytic) = 0.5510742747698331748764016190228 y[1] (numeric) = 0.55107427637016295354881890182287 absolute error = 1.60032977867241728280007e-09 relative error = 2.9040183001480625366625552321264e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2170.6MB, alloc=4.6MB, time=164.40 x[1] = 1.351 y[1] (analytic) = 0.55139756952751126760757944160245 y[1] (numeric) = 0.5513975711288347870090855243715 absolute error = 1.60132351940150608276905e-09 relative error = 2.9041178414581497709498860528883e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.352 y[1] (analytic) = 0.55172095418963802276172127095555 y[1] (numeric) = 0.55172095579195550865805861995869 absolute error = 1.60231748589633734900314e-09 relative error = 2.9042172020633230129832500195092e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.353 y[1] (analytic) = 0.55204442875079585937864529195015 y[1] (numeric) = 0.5520444303541075374760746987479 absolute error = 1.60331167809742940679775e-09 relative error = 2.9043163821533593900370651736482e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.354 y[1] (analytic) = 0.55236799320556623320598038809145 y[1] (numeric) = 0.55236799480987232915127032493927 absolute error = 1.60430609594528993684782e-09 relative error = 2.9044153819177575104745029374251e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2174.4MB, alloc=4.6MB, time=164.56 x[1] = 1.355 y[1] (analytic) = 0.55269164754852963716557698549955 y[1] (numeric) = 0.55269164915383037654599296856042 absolute error = 1.60530073938041598306087e-09 relative error = 2.9045142015457379654314204048251e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.356 y[1] (analytic) = 0.5530153917742656018199092942506 y[1] (numeric) = 0.55301539338056121016320325462415 absolute error = 1.60629560834329396037355e-09 relative error = 2.9046128412262438294555090957551e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.357 y[1] (analytic) = 0.5533392258773526958384688658382 y[1] (numeric) = 0.55333922748464339861286852840786 absolute error = 1.60729070277439966256966e-09 relative error = 2.9047113011479411600994800960015e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.358 y[1] (analytic) = 0.5536631498523685264641493855404 y[1] (numeric) = 0.55366315146065454907834765564137 absolute error = 1.60828602261419827010097e-09 relative error = 2.9048095814992194964731846823274e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.359 y[1] (analytic) = 0.55398716369388973997962261851055 y[1] (numeric) = 0.5539871653031713077827669764214 absolute error = 1.60928156780314435791085e-09 relative error = 2.9049076824681923567571688648263e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2178.2MB, alloc=4.6MB, time=164.71 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.36 y[1] (analytic) = 0.55431126739649202217370542844315 y[1] (numeric) = 0.55431126900676936045538733170284 absolute error = 1.61027733828168190325969e-09 relative error = 2.9050056042426977346782953869272e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.361 y[1] (analytic) = 0.55463546095475009880771778769585 y[1] (numeric) = 0.55463546256602343279796208124877 absolute error = 1.61127333399024429355292e-09 relative error = 2.9051033470102985949513681670947e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.362 y[1] (analytic) = 0.55495974436323773608183169778125 y[1] (numeric) = 0.55495974597550729095108603195281 absolute error = 1.61226955486925433417156e-09 relative error = 2.9052009109582833676890950060241e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.363 y[1] (analytic) = 0.55528411761652774110141093917405 y[1] (numeric) = 0.55528411922979374196053519547934 absolute error = 1.61326600085912425630529e-09 relative error = 2.9052982962736664417828264337952e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2182.0MB, alloc=4.6MB, time=164.87 x[1] = 1.364 y[1] (analytic) = 0.5556085807091919623433415694119 y[1] (numeric) = 0.55560858232345463424359729419899 absolute error = 1.61426267190025572478709e-09 relative error = 2.9053955031431886572548102432361e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.365 y[1] (analytic) = 0.55593313363580129012235308849675 y[1] (numeric) = 0.55593313525106085805539293442844 absolute error = 1.61525956793303984593169e-09 relative error = 2.9054925317533177965884407869693e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.366 y[1] (analytic) = 0.5562577763909256570573301906408 y[1] (numeric) = 0.55625777800718234595518736601574 absolute error = 1.61625668889785717537494e-09 relative error = 2.9055893822902490750337344002149e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.367 y[1] (analytic) = 0.5565825089691340385376150214272 y[1] (numeric) = 0.55658251058638807327269274734397 absolute error = 1.61725403473507772591677e-09 relative error = 2.9056860549399056298952696135996e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2185.8MB, alloc=4.6MB, time=165.02 x[1] = 1.368 y[1] (analytic) = 0.55690733136499445318929985949245 y[1] (numeric) = 0.5569073329832460585743608348581 absolute error = 1.61825160538506097536565e-09 relative error = 2.9057825498879390088012546952373e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.369 y[1] (analytic) = 0.55723224357307396334151014186595 y[1] (numeric) = 0.55723224519232336412966601625182 absolute error = 1.61924940078815587438587e-09 relative error = 2.9058788673197296569585156492363e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.37 y[1] (analytic) = 0.55755724558793867549267775213565 y[1] (numeric) = 0.55755724720818609637737860648302 absolute error = 1.62024742088470085434737e-09 relative error = 2.9059750074203874033953285418124e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.371 y[1] (analytic) = 0.55788233740415374077680449064145 y[1] (numeric) = 0.55788233902539940639182832581855 absolute error = 1.62124566561502383517710e-09 relative error = 2.9060709703747519461926714834567e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2189.7MB, alloc=4.6MB, time=165.18 x[1] = 1.372 y[1] (analytic) = 0.55820751901628335542971564592685 y[1] (numeric) = 0.55820752063852749034915787914084 absolute error = 1.62224413491944223321399e-09 relative error = 2.9061667563673933367100271879178e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.373 y[1] (analytic) = 0.5585327904188907612553035867156 y[1] (numeric) = 0.55853279204213358999356655578102 absolute error = 1.62324282873826296906542e-09 relative error = 2.9062623655826124628043414446948e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.374 y[1] (analytic) = 0.5588581516065382460917612937091 y[1] (numeric) = 0.55885815323077999310354376917513 absolute error = 1.62424174701178247546603e-09 relative error = 2.9063577982044415310460327039321e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.375 y[1] (analytic) = 0.55918360257378714427780575053235 y[1] (numeric) = 0.55918360419902803395809245567196 absolute error = 1.62524088968028670513961e-09 relative error = 2.9064530544166445479357557530943e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2193.5MB, alloc=4.6MB, time=165.33 x[1] = 1.376 y[1] (analytic) = 0.55950914331519783711889111319075 y[1] (numeric) = 0.55950914494143809380294225185325 absolute error = 1.62624025668405113866250e-09 relative error = 2.9065481344027178001214813378638e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.377 y[1] (analytic) = 0.55983477382532975335341157742885 y[1] (numeric) = 0.55983477545256960131675236975891 absolute error = 1.62723984796334079233006e-09 relative error = 2.9066430383458903336210512618212e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.378 y[1] (analytic) = 0.5601604940987413696188938634172 y[1] (numeric) = 0.56016049572698103307730408944206 absolute error = 1.62823966345841022602486e-09 relative error = 2.9067377664291244320501542650775e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.379 y[1] (analytic) = 0.56048630412999021091817923722275 y[1] (numeric) = 0.56048630575922991402768278831068 absolute error = 1.62923970310950355108793e-09 relative error = 2.9068323188351160938604723200199e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2197.3MB, alloc=4.6MB, time=165.49 x[1] = 1.38 y[1] (analytic) = 0.56081220391363285108559498855345 y[1] (numeric) = 0.56081220554387281794244942674495 absolute error = 1.63023996685685443819150e-09 relative error = 2.9069266957462955085875406754524e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.381 y[1] (analytic) = 0.561138193444224913253115284296 y[1] (numeric) = 0.56113819507546536789380140951121 absolute error = 1.63124045464068612521521e-09 relative error = 2.9070208973448275321141981823018e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.382 y[1] (analytic) = 0.56146427271632107031651131740245 y[1] (numeric) = 0.56146427434856223671772274252588 absolute error = 1.63224116640121142512343e-09 relative error = 2.9071149238126121609477519933782e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.383 y[1] (analytic) = 0.56179044172447504540149067070885 y[1] (numeric) = 0.56179044335771714748012340455466 absolute error = 1.63324210207863273384581e-09 relative error = 2.9072087753312850055169685676832e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2201.1MB, alloc=4.6MB, time=165.64 x[1] = 1.384 y[1] (analytic) = 0.5621167004632396123298258153046 y[1] (numeric) = 0.56211670209748287394296785346455 absolute error = 1.63424326161314203815995e-09 relative error = 2.9073024520822177624892330187128e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.385 y[1] (analytic) = 0.56244304892716659608547166310235 y[1] (numeric) = 0.56244305056241124103039258667839 absolute error = 1.63524464494492092357604e-09 relative error = 2.9073959542465186861099286935138e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.386 y[1] (analytic) = 0.5627694871108068732806720932894 y[1] (numeric) = 0.56276948874705312529481267551393 absolute error = 1.63624625201414058222453e-09 relative error = 2.9074892820050330585682340192719e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.387 y[1] (analytic) = 0.5630960150087103726220553723762 y[1] (numeric) = 0.5630960166459584553830171931215 absolute error = 1.63724808276096182074530e-09 relative error = 2.9075824355383436593889191913560e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2204.9MB, alloc=4.6MB, time=165.80 x[1] = 1.388 y[1] (analytic) = 0.56342263261542607537671838758655 y[1] (numeric) = 0.56342263425367621250225345576669 absolute error = 1.63825013712553506818014e-09 relative error = 2.9076754150267712338556598231421e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.389 y[1] (analytic) = 0.56374933992550201583829961337005 y[1] (numeric) = 0.56374934156475443088629999723669 absolute error = 1.63925241504800038386664e-09 relative error = 2.9077682206503749604647827151481e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.39 y[1] (analytic) = 0.56407613693348528179304073084635 y[1] (numeric) = 0.56407613857374019826152819618121 absolute error = 1.64025491646848746533486e-09 relative error = 2.9078608525889529174141655456512e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.391 y[1] (analytic) = 0.56440302363392201498583682002495 y[1] (numeric) = 0.56440302527517965631295247623111 absolute error = 1.64125764132711565620616e-09 relative error = 2.9079533110220425481284690861369e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.392 y[1] (analytic) = 0.5647300000213574115862750446757 y[1] (numeric) = 0.56473000166361800115026899877033 absolute error = 1.64226058956399395409463e-09 relative error = 2.9080455961289211258237565929555e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2208.7MB, alloc=4.6MB, time=165.95 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.393 y[1] (analytic) = 0.5650570660903357226546617497582 y[1] (numeric) = 0.56505706773359948377388276826884 absolute error = 1.64326376111922101851064e-09 relative error = 2.9081377080886062171129172232815e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.394 y[1] (analytic) = 0.5653842218354002546080378913504 y[1] (numeric) = 0.56538422347966741054092307011685 absolute error = 1.64426715593288517876645e-09 relative error = 2.9082296470798561446540511011173e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.395 y[1] (analytic) = 0.56571146725109336968618271904785 y[1] (numeric) = 0.5657114688963641436312471609327 absolute error = 1.64527077394506444188485e-09 relative error = 2.9083214132811704488457888595454e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.396 y[1] (analytic) = 0.56603880233195648641760563084035 y[1] (numeric) = 0.56603880397823110151343213134934 absolute error = 1.64627461509582650050899e-09 relative error = 2.9084130068707903485685402382855e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2212.5MB, alloc=4.6MB, time=166.11 x[1] = 1.397 y[1] (analytic) = 0.5663662270725300800855261205007 y[1] (numeric) = 0.56636622871980875941075486131669 absolute error = 1.64727867932522874081599e-09 relative error = 2.9085044280266992009784971952942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.398 y[1] (analytic) = 0.56669374146735368319384173755825 y[1] (numeric) = 0.56669374311563664976715998798943 absolute error = 1.64828296657331825043118e-09 relative error = 2.9085956769266229603510609425589e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.399 y[1] (analytic) = 0.5670213455109658859330839799562 y[1] (numeric) = 0.5670213471602533627132158063024 absolute error = 1.64928747678013182634620e-09 relative error = 2.9086867537480306359816338950087e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.4 y[1] (analytic) = 0.56734903919790433664636203952965 y[1] (numeric) = 0.56734904084819654653205802236806 absolute error = 1.65029220988569598283841e-09 relative error = 2.9087776586681347491414975114069e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2216.4MB, alloc=4.6MB, time=166.26 x[1] = 1.401 y[1] (analytic) = 0.5676768225227057422952943204702 y[1] (numeric) = 0.56767682417400290812532127986297 absolute error = 1.65129716583002695939277e-09 relative error = 2.9088683918638917890930473188523e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.402 y[1] (analytic) = 0.5680046954799058689259276509765 y[1] (numeric) = 0.56800469713220821347905837960272 absolute error = 1.65230234455313072862622e-09 relative error = 2.9089589535120026681666516515374e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.403 y[1] (analytic) = 0.56833265806403954213464410832265 y[1] (numeric) = 0.56833265971734728812964711253716 absolute error = 1.65330774599500300421451e-09 relative error = 2.9090493437889131759012537698942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.404 y[1] (analytic) = 0.5686607102696406475340553776099 y[1] (numeric) = 0.56866071192395401762968462643045 absolute error = 1.65431337009562924882055e-09 relative error = 2.9091395628708144322492840964914e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2220.2MB, alloc=4.6MB, time=166.41 x[1] = 1.405 y[1] (analytic) = 0.5689888520912421312188845644968 y[1] (numeric) = 0.56898885374656134801386924652269 absolute error = 1.65531921679498468202589e-09 relative error = 2.9092296109336433398509150855343e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.406 y[1] (analytic) = 0.56931708352337600023183538223835 y[1] (numeric) = 0.5693170851797012862648696705027 absolute error = 1.65632528603303428826435e-09 relative error = 2.9093194881530830353781230514850e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.407 y[1] (analytic) = 0.5696454045605733230294486333967 y[1] (numeric) = 0.56964540621790490077918145815385 absolute error = 1.65733157774973282475715e-09 relative error = 2.9094091947045633399496027540751e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.408 y[1] (analytic) = 0.56997381519736422994794590661625 y[1] (numeric) = 0.56997381685570232183297073606756 absolute error = 1.65833809188502482945131e-09 relative error = 2.9094987307632612086218258252838e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2224.0MB, alloc=4.6MB, time=166.57 x[1] = 1.409 y[1] (analytic) = 0.57030231542827791366906040889175 y[1] (numeric) = 0.57030231708762274204790503785154 absolute error = 1.65934482837884462895979e-09 relative error = 2.9095880965041011789557276294458e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.41 y[1] (analytic) = 0.57063090524784262968585485378865 y[1] (numeric) = 0.57063090690819441685697120029256 absolute error = 1.66035178717111634650391e-09 relative error = 2.9096772921017558186621413514926e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.411 y[1] (analytic) = 0.57095958465058569676852632610755 y[1] (numeric) = 0.57095958631194466497028023596602 absolute error = 1.66135896820175390985847e-09 relative error = 2.9097663177306461723288778377852e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.412 y[1] (analytic) = 0.57128835363103349743019804351895 y[1] (numeric) = 0.57128835529339986884085910281732 absolute error = 1.66236637141066105929837e-09 relative error = 2.9098551735649422072295049217955e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2227.8MB, alloc=4.6MB, time=166.72 x[1] = 1.413 y[1] (analytic) = 0.57161721218371147839269793572445 y[1] (numeric) = 0.57161721384708547513042929127265 absolute error = 1.66337399673773135554820e-09 relative error = 2.9099438597785632582185549099720e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.414 y[1] (analytic) = 0.57194616030314415105232396173555 y[1] (numeric) = 0.5719461619675259951751721494694 absolute error = 1.66438184412284818773385e-09 relative error = 2.9100323765451784717136402075491e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.415 y[1] (analytic) = 0.57227519798385509194559608589325 y[1] (numeric) = 0.57227519964924500545148086722919 absolute error = 1.66538991350588478133594e-09 relative error = 2.9101207240382072487662696198606e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.416 y[1] (analytic) = 0.5726043252203669432149948332826 y[1] (numeric) = 0.57260432688676514804169903942912 absolute error = 1.66639820482670420614652e-09 relative error = 2.9102089024308196872260353931943e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2231.6MB, alloc=4.6MB, time=166.87 x[1] = 1.417 y[1] (analytic) = 0.57293354200720141307468634523275 y[1] (numeric) = 0.57293354367460813109984572945958 absolute error = 1.66740671802515938422683e-09 relative error = 2.9102969118959370229964356050632e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.418 y[1] (analytic) = 0.5732628483388792762762338556211 y[1] (numeric) = 0.57326285000729472931732695348965 absolute error = 1.66841545304109309786855e-09 relative error = 2.9103847526062320703887026729934e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.419 y[1] (analytic) = 0.5735922442099203745742955087383 y[1] (numeric) = 0.57359224587934478438863350629393 absolute error = 1.66942440981433799755563e-09 relative error = 2.9104724247341296615706739037551e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.42 y[1] (analytic) = 0.573921729614843617192308439497 y[1] (numeric) = 0.57392173128527720547702504942729 absolute error = 1.67043358828471660993029e-09 relative error = 2.9105599284518070851190833440218e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2235.4MB, alloc=4.6MB, time=167.02 x[1] = 1.421 y[1] (analytic) = 0.57425130454816698128815903680685 y[1] (numeric) = 0.57425130621960996968020038256692 absolute error = 1.67144298839204134576007e-09 relative error = 2.9106472639311945236719350909408e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.422 y[1] (analytic) = 0.5745809690044075124198393109667 y[1] (numeric) = 0.57458097067686012249595381887371 absolute error = 1.67245261007611450790701e-09 relative error = 2.9107344313439754906849473356550e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.423 y[1] (analytic) = 0.5749107229780813250110892859579 y[1] (numeric) = 0.57491072465154377828781758525791 absolute error = 1.67346245327672829930001e-09 relative error = 2.9108214308615872662959900472319e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.424 y[1] (analytic) = 0.5752405664637036028170253375584 y[1] (numeric) = 0.57524056813817612075069016846676 absolute error = 1.67447251793366483090836e-09 relative error = 2.9109082626552213322961057969087e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.425 y[1] (analytic) = 0.5755704994557885993897543982265 y[1] (numeric) = 0.57557050113127140337645052794467 absolute error = 1.67548280398669612971817e-09 relative error = 2.9109949268958238062122116728624e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2239.2MB, alloc=4.6MB, time=167.18 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.426 y[1] (analytic) = 0.57590052194884963854397394973825 y[1] (numeric) = 0.5759005236253429499195580964493 absolute error = 1.67649331137558414671105e-09 relative error = 2.9110814237540958745024282906872e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.427 y[1] (analytic) = 0.5762306339373991148225577245957 y[1] (numeric) = 0.57623063561490315486263848943983 absolute error = 1.67750404004008076484413e-09 relative error = 2.9111677534004942248645304202291e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.428 y[1] (analytic) = 0.5765608354159484939621270372526 y[1] (numeric) = 0.57656083709446348388205484428659 absolute error = 1.67851498991992780703399e-09 relative error = 2.9112539160052314776640513257432e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.429 y[1] (analytic) = 0.5768911263790083133586076662432 y[1] (numeric) = 0.57689112805853447431346471038398 absolute error = 1.67952616095485704414078e-09 relative error = 2.9113399117382766164776437741084e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2243.1MB, alloc=4.6MB, time=167.34 x[1] = 1.43 y[1] (analytic) = 0.5772215068210881825327722083255 y[1] (numeric) = 0.57722150850162573561736241128175 absolute error = 1.68053755308459020295625e-09 relative error = 2.9114257407693554177602141480744e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.431 y[1] (analytic) = 0.57755197673669678359576782578955 y[1] (numeric) = 0.57755197841824594984460679998241 absolute error = 1.68154916624883897419286e-09 relative error = 2.9115114032679508796329701787497e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.432 y[1] (analytic) = 0.5778825361203418717146293081096 y[1] (numeric) = 0.57788253780290287210193432858565 absolute error = 1.68256100038730502047605e-09 relative error = 2.9115968994033036497980364256717e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.433 y[1] (analytic) = 0.5782131849665302755777773691559 y[1] (numeric) = 0.57821318665010333101745735349344 absolute error = 1.68357305543967998433754e-09 relative error = 2.9116822293444124525779887167149e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2246.9MB, alloc=4.6MB, time=167.49 x[1] = 1.434 y[1] (analytic) = 0.57854392326976789786050210121065 y[1] (numeric) = 0.57854392495435322920614759742268 absolute error = 1.68458533134564549621203e-09 relative error = 2.9117673932600345150864484226564e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.435 y[1] (analytic) = 0.5788747510245597156904315070696 y[1] (numeric) = 0.57887475271015754373530468950502 absolute error = 1.68559782804487318243542e-09 relative error = 2.9118523913186859925285115137914e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.436 y[1] (analytic) = 0.5792056682254097811129850315412 y[1] (numeric) = 0.57920566991202032659000970478658 absolute error = 1.68661054547702467324538e-09 relative error = 2.9119372236886423926344757161881e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.437 y[1] (analytic) = 0.57953667486682122155681201368955 y[1] (numeric) = 0.57953667655444470513856362447343 absolute error = 1.68762348358175161078388e-09 relative error = 2.9120218905379389992282120822038e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2250.7MB, alloc=4.6MB, time=167.65 x[1] = 1.438 y[1] (analytic) = 0.57986777094329624029921498119875 y[1] (numeric) = 0.57986777263193288259791063830141 absolute error = 1.68863664229869565710266e-09 relative error = 2.9121063920343712949338876816410e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.439 y[1] (analytic) = 0.5801989564493361169315577082725 y[1] (numeric) = 0.58019895813898613849904621044234 absolute error = 1.68965002156748850216984e-09 relative error = 2.9121907283454953830199416586815e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.44 y[1] (analytic) = 0.5805302313794412078246579585117 y[1] (numeric) = 0.58053023307010482915240983039134 absolute error = 1.69066362132775187187964e-09 relative error = 2.9122748996386284083857198808597e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.441 y[1] (analytic) = 0.58086159572811094659416483424965 y[1] (numeric) = 0.5808615974197883881132623703133 absolute error = 1.69167744151909753606365e-09 relative error = 2.9123589060808489776900754673993e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2254.5MB, alloc=4.6MB, time=167.80 x[1] = 1.442 y[1] (analytic) = 0.5811930494898438445659206538549 y[1] (numeric) = 0.58119305118253532664704797035958 absolute error = 1.69269148208112731650468e-09 relative error = 2.9124427478389975786257058776477e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.443 y[1] (analytic) = 0.5815245926591374912413072785464 y[1] (numeric) = 0.58152459435284323419474037349907 absolute error = 1.69370574295343309495267e-09 relative error = 2.9125264250796769983403185172487e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.444 y[1] (analytic) = 0.58185622523048855476257681029855 y[1] (numeric) = 0.58185622692520877883817363144096 absolute error = 1.69472022407559682114241e-09 relative error = 2.9126099379692527410061797364538e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.445 y[1] (analytic) = 0.5821879471983927823781665824455 y[1] (numeric) = 0.5821879488941277077653571032596 absolute error = 1.69573492538719052081410e-09 relative error = 2.9126932866738534445417974662118e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2258.3MB, alloc=4.6MB, time=167.95 x[1] = 1.446 y[1] (analytic) = 0.5825197585573450009079983646294 y[1] (numeric) = 0.58251976025409484773577466836511 absolute error = 1.69674984682777630373571e-09 relative error = 2.9127764713593712964859209672245e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.447 y[1] (analytic) = 0.582851659301839117208761703769 y[1] (numeric) = 0.58285166099960410554566807549647 absolute error = 1.69776498833690637172747e-09 relative error = 2.9128594921914624490263946714058e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.448 y[1] (analytic) = 0.58318364942636811863918132275845 y[1] (numeric) = 0.58318365112514846849330434944703 absolute error = 1.69878034985412302668858e-09 relative error = 2.9129423493355474331859838313906e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.449 y[1] (analytic) = 0.58351572892542407352526849863965 y[1] (numeric) = 0.58351573062522000484422717726564 absolute error = 1.69979593131895867862599e-09 relative error = 2.9130250429568115721668725628218e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2262.1MB, alloc=4.6MB, time=168.11 x[1] = 1.45 y[1] (analytic) = 0.58384789779349813162555634202385 y[1] (numeric) = 0.58384789949430986429649219570967 absolute error = 1.70081173267093585368582e-09 relative error = 2.9131075732202053938567641207294e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.451 y[1] (analytic) = 0.5841801560250805245963188995738 y[1] (numeric) = 0.5841801577269082784458861017597 absolute error = 1.70182775384956720218590e-09 relative error = 2.9131899402904450424959260456248e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.452 y[1] (analytic) = 0.58451250361466056645677400138645 y[1] (numeric) = 0.58451250531750456125112950803848 absolute error = 1.70284399479435550665203e-09 relative error = 2.9132721443320126895115781874924e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.453 y[1] (analytic) = 0.58484494055672665405426977515605 y[1] (numeric) = 0.5848449422605871094990634650105 absolute error = 1.70386045544479368985445e-09 relative error = 2.9133541855091569435155490819126e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2266.0MB, alloc=4.6MB, time=168.26 x[1] = 1.454 y[1] (analytic) = 0.58517746684576626752945474902285 y[1] (numeric) = 0.58517746855064340326981957187138 absolute error = 1.70487713574036482284853e-09 relative error = 2.9134360639858932594739992213276e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.455 y[1] (analytic) = 0.5855100824762659707814314650544 y[1] (numeric) = 0.58551008418216000640197359806987 absolute error = 1.70589403562054213301547e-09 relative error = 2.9135177799260043470439344957365e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.456 y[1] (analytic) = 0.58584278744271141193289352533095 y[1] (numeric) = 0.58584278914962256695768253743833 absolute error = 1.70691115502478901210738e-09 relative error = 2.9135993334930405780859063361159e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.457 y[1] (analytic) = 0.58617558173958732379524599264885 y[1] (numeric) = 0.58617558344751581768780501694108 absolute error = 1.70792849389255902429223e-09 relative error = 2.9136807248503203933471071090160e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.458 y[1] (analytic) = 0.5865084653613775243337090678801 y[1] (numeric) = 0.5865084670703235764970049820832 absolute error = 1.70894605216329591420310e-09 relative error = 2.9137619541609307083243420490830e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2269.8MB, alloc=4.6MB, time=168.41 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.459 y[1] (analytic) = 0.58684143830256491713240496606815 y[1] (numeric) = 0.58684144001252874690883858105581 absolute error = 1.70996382977643361498766e-09 relative error = 2.9138430215877273183018353746828e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.46 y[1] (analytic) = 0.58717450055763149185942791336585 y[1] (numeric) = 0.58717450226861331853082416972707 absolute error = 1.71098182667139625636122e-09 relative error = 2.9139239272933353025714745451712e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.461 y[1] (analytic) = 0.58750765212105832473189718696075 y[1] (numeric) = 0.5875076538330583675194953596218 absolute error = 1.71200004278759817266105e-09 relative error = 2.9140046714401494278334659412051e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.462 y[1] (analytic) = 0.58784089298732557898099312016275 y[1] (numeric) = 0.5878408947003440570454370310657 absolute error = 1.71301847806444391090295e-09 relative error = 2.9140852541903345507809678400331e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2273.6MB, alloc=4.6MB, time=168.57 x[1] = 1.463 y[1] (analytic) = 0.58817422315091250531697599486315 y[1] (numeric) = 0.58817422486494963775830423370371 absolute error = 1.71403713244132823884056e-09 relative error = 2.9141656757058260198714209683992e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.464 y[1] (analytic) = 0.5885076426062974423941877436095 y[1] (numeric) = 0.5885076443213534482518238966356 absolute error = 1.71505600585763615302610e-09 relative error = 2.9142459361483300762842296485994e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.465 y[1] (analytic) = 0.5888411513479578172760363835719 y[1] (numeric) = 0.58884115306403291552877927044501 absolute error = 1.71607509825274288687311e-09 relative error = 2.9143260356793242540676444691637e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.466 y[1] (analytic) = 0.58917474937037014589996310470955 y[1] (numeric) = 0.58917475108746455546597702343189 absolute error = 1.71709440956601391872234e-09 relative error = 2.9144059744600577794786725565304e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2277.4MB, alloc=4.6MB, time=168.73 x[1] = 1.467 y[1] (analytic) = 0.58950843666801003354239193448345 y[1] (numeric) = 0.58950843838612397327919691439164 absolute error = 1.71811393973680497990819e-09 relative error = 2.9144857526515519695134665824171e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.468 y[1] (analytic) = 0.58984221323535217528366190148875 y[1] (numeric) = 0.58984221495448586398812396431776 absolute error = 1.71913368870446206282901e-09 relative error = 2.9145653704146006296356784065467e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.469 y[1] (analytic) = 0.5901760790668703564729416204204 y[1] (numeric) = 0.59017608078702401288126304943825 absolute error = 1.72015365640832142901785e-09 relative error = 2.9146448279097704506988465491871e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.47 y[1] (analytic) = 0.59051003415703745319312622081285 y[1] (numeric) = 0.59051003587821129598083583802964 absolute error = 1.72117384278770961721679e-09 relative error = 2.9147241252974014050699832152191e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2281.2MB, alloc=4.6MB, time=168.88 x[1] = 1.471 y[1] (analytic) = 0.5908440785003254327257165420342 y[1] (numeric) = 0.59084408022251968050765999348592 absolute error = 1.72219424778194345145172e-09 relative error = 2.9148032627376071419509027549451e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.472 y[1] (analytic) = 0.59117821209120535401568051704225 y[1] (numeric) = 0.59117821381442022534601056615331 absolute error = 1.72321487133033004911106e-09 relative error = 2.9148822403902753819050506127064e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.473 y[1] (analytic) = 0.59151243492414736813629666744985 y[1] (numeric) = 0.59151243664838308150846349647527 absolute error = 1.72423571337216682902542e-09 relative error = 2.9149610584150683105865884320923e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.474 y[1] (analytic) = 0.59184674699362071875397963247665 y[1] (numeric) = 0.5918467487188774926007211520257 absolute error = 1.72525677384674151954905e-09 relative error = 2.9150397169714229716750142391517e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2285.0MB, alloc=4.6MB, time=169.04 x[1] = 1.475 y[1] (analytic) = 0.59218114829409374259308765439735 y[1] (numeric) = 0.59218115002037179528641982104203 absolute error = 1.72627805269333216664468e-09 relative error = 2.9151182162185516590198518572741e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.476 y[1] (analytic) = 0.5925156388200338699007119431341 y[1] (numeric) = 0.59251564054733341975191908510327 absolute error = 1.72729954985120714196917e-09 relative error = 2.9151965563154423079928720883373e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.477 y[1] (analytic) = 0.59285021856590762491144784267005 y[1] (numeric) = 0.59285022029422889017107299363188 absolute error = 1.72832126525962515096183e-09 relative error = 2.9152747374208588860528123977882e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.478 y[1] (analytic) = 0.5931848875261806263121477219969 y[1] (numeric) = 0.5931848892555238251699829629319 absolute error = 1.72934319885783524093500e-09 relative error = 2.9153527596933417825237161345347e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2288.8MB, alloc=4.6MB, time=169.20 x[1] = 1.479 y[1] (analytic) = 0.59351964569531758770665551334305 y[1] (numeric) = 0.59351964742568293829173232250934 absolute error = 1.73036535058507680916629e-09 relative error = 2.9154306232912081975876906214634e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.48 y[1] (analytic) = 0.59385449306778231808052282046165 y[1] (numeric) = 0.5938544947991700384611024314546 absolute error = 1.73138772038057961099295e-09 relative error = 2.9155083283725525304946851151067e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.481 y[1] (analytic) = 0.59418942963803772226570651979185 y[1] (numeric) = 0.59418943137044803044927028770034 absolute error = 1.73241030818356376790849e-09 relative error = 2.9155858750952467669912923404351e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.482 y[1] (analytic) = 0.5945244554005458014052477773406 y[1] (numeric) = 0.59452445713397891533848755300181 absolute error = 1.73343311393323977566121e-09 relative error = 2.9156632636169408659697980070746e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2292.7MB, alloc=4.6MB, time=169.35 x[1] = 1.483 y[1] (analytic) = 0.5948595703497676534179324041653 y[1] (numeric) = 0.59485957208422379098674091652048 absolute error = 1.73445613756880851235518e-09 relative error = 2.9157404940950631453401799859222e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.484 y[1] (analytic) = 0.59519477448016347346293247337285 y[1] (numeric) = 0.59519477621564285249239371992541 absolute error = 1.73547937902946124655256e-09 relative error = 2.9158175666868206671249778935303e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.485 y[1] (analytic) = 0.59553006778619255440442912158195 y[1] (numeric) = 0.59553006952269539265880876696065 absolute error = 1.73650283825437964537870e-09 relative error = 2.9158944815491996217812395169921e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.486 y[1] (analytic) = 0.59586545026231328727621645783165 y[1] (numeric) = 0.59586545199983980245895224046056 absolute error = 1.73752651518273578262891e-09 relative error = 2.9159712388389657117494555083528e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2296.5MB, alloc=4.6MB, time=169.50 x[1] = 1.487 y[1] (analytic) = 0.59620092190298316174628650295175 y[1] (numeric) = 0.5962009236415335714999786498288 absolute error = 1.73855040975369214687705e-09 relative error = 2.9160478387126645342315109643283e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.488 y[1] (analytic) = 0.59653648270265876658139508244335 y[1] (numeric) = 0.59653648444223328848779673203049 absolute error = 1.73957452190640164958714e-09 relative error = 2.9161242813266219632014369431834e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.489 y[1] (analytic) = 0.59687213265579579011160859595515 y[1] (numeric) = 0.59687213439639464169161622918077 absolute error = 1.74059885158000763322562e-09 relative error = 2.9162005668369445306467501644893e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.49 y[1] (analytic) = 0.59720787175684902069483158646985 y[1] (numeric) = 0.59720787349847241940847546584692 absolute error = 1.74162339871364387937707e-09 relative error = 2.9162766953995198070468561569184e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.491 y[1] (analytic) = 0.5975437000002723471813150323542 y[1] (numeric) = 0.59754370174292051042774964921479 absolute error = 1.74264816324643461686059e-09 relative error = 2.9163526671700167810855769531760e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2300.3MB, alloc=4.6MB, time=169.66 x[1] = 1.492 y[1] (analytic) = 0.59787961738051875937814528545485 y[1] (numeric) = 0.59787961912419190449563981530438 absolute error = 1.74367314511749452984953e-09 relative error = 2.9164284823038862386040634441962e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.493 y[1] (analytic) = 0.59821562389204034851371357846055 y[1] (numeric) = 0.59821562563673869277964234445304 absolute error = 1.74469834426592876599249e-09 relative error = 2.9165041409563611407923540243418e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.494 y[1] (analytic) = 0.5985517195292883077021660247826 y[1] (numeric) = 0.59855172127501206833299896931874 absolute error = 1.74572376063083294453614e-09 relative error = 2.9165796432824570016222462418917e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.495 y[1] (analytic) = 0.59888790428671293240783403423865 y[1] (numeric) = 0.59888790603346232655912719868963 absolute error = 1.74674939415129316445098e-09 relative error = 2.9166549894369722645250912965692e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2304.1MB, alloc=4.6MB, time=169.81 x[1] = 1.496 y[1] (analytic) = 0.59922417815876362090964506786175 y[1] (numeric) = 0.59922417990653886567603108042014 absolute error = 1.74777524476638601255839e-09 relative error = 2.9167301795744886783134857012537e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.497 y[1] (analytic) = 0.5995605411398888747655136551881 y[1] (numeric) = 0.59956054288869018718069222684755 absolute error = 1.74880131241517857165945e-09 relative error = 2.9168052138493716723493949386206e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.498 y[1] (analytic) = 0.59989699322453629927671259741 y[1] (numeric) = 0.59989699497436389631344102607712 absolute error = 1.74982759703672842866712e-09 relative error = 2.9168800924157707309630861979185e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.499 y[1] (analytic) = 0.60023353440715260395222427981885 y[1] (numeric) = 0.60023353615800670252230796255757 absolute error = 1.75085409857008368273872e-09 relative error = 2.9169548154276197671194839562868e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2307.9MB, alloc=4.6MB, time=169.97 x[1] = 1.5 y[1] (analytic) = 0.60057016468218360297307201699105 y[1] (numeric) = 0.60057016643406441992735497040278 absolute error = 1.75188081695428295341173e-09 relative error = 2.9170293830386374953387043430982e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.501 y[1] (analytic) = 0.60090688404407421565663135420855 y[1] (numeric) = 0.60090688579698196778498674294951 absolute error = 1.75290775212835538874096e-09 relative error = 2.9171037954023278038692263963644e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.502 y[1] (analytic) = 0.601243692487268466920921248637 y[1] (numeric) = 0.60124369424120337095224192207482 absolute error = 1.75393490403132067343782e-09 relative error = 2.9171780526719801261166259154724e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.503 y[1] (analytic) = 0.6015805900062094877488750538191 y[1] (numeric) = 0.60158059176117176035106409083098 absolute error = 1.75496227260218903701188e-09 relative error = 2.9172521550006698113298901336482e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2311.7MB, alloc=4.6MB, time=170.12 x[1] = 1.504 y[1] (analytic) = 0.60191757659533951565259123107535 y[1] (numeric) = 0.60191757835132937343255249298957 absolute error = 1.75598985777996126191422e-09 relative error = 2.9173261025412584945461793055559e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.505 y[1] (analytic) = 0.60225465224909989513756371143805 y[1] (numeric) = 0.60225465400611755464119240312042 absolute error = 1.75701765950362869168237e-09 relative error = 2.9173998954463944657953987926609e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.506 y[1] (analytic) = 0.6025918169619310781668918317769 y[1] (numeric) = 0.60259181871997675587906507086529 absolute error = 1.75804567771217323908839e-09 relative error = 2.9174735338685130385688464782012e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.507 y[1] (analytic) = 0.60292907072827262462546976881255 y[1] (numeric) = 0.60292907248734653697003716309992 absolute error = 1.75907391234456739428737e-09 relative error = 2.9175470179598369175491023888123e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2315.5MB, alloc=4.6MB, time=170.28 x[1] = 1.508 y[1] (analytic) = 0.60326641354256320278415539474275 y[1] (numeric) = 0.60326641530266556612392962771235 absolute error = 1.76010236333977423296960e-09 relative error = 2.9176203478723765656082394025448e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.509 y[1] (analytic) = 0.60360384539924058976391847824615 y[1] (numeric) = 0.60360384716037162040066590275938 absolute error = 1.76113103063674742451323e-09 relative error = 2.9176935237579305700707527950324e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.51 y[1] (analytic) = 0.60394136629274167199996815465695 y[1] (numeric) = 0.60394136805490158617439939479719 absolute error = 1.76215991417443124014024e-09 relative error = 2.9177665457680860082475604013890e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.511 y[1] (analytic) = 0.60427897621750244570585958914335 y[1] (numeric) = 0.60427897798069145959762015021608 absolute error = 1.76318901389176056107273e-09 relative error = 2.9178394140542188122377852109531e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2319.4MB, alloc=4.6MB, time=170.43 x[1] = 1.512 y[1] (analytic) = 0.60461667516795801733757975675005 y[1] (numeric) = 0.60461667693217634706524064344355 absolute error = 1.76421832972766088669350e-09 relative error = 2.9179121287674941330065614957009e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.513 y[1] (analytic) = 0.6049544631385426040576122632077 y[1] (numeric) = 0.60495446490379046567866060591398 absolute error = 1.76524786162104834270628e-09 relative error = 2.9179846900588667037328394609699e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.514 y[1] (analytic) = 0.60529234012368953419898113043785 y[1] (numeric) = 0.60529234188996714370981081973733 absolute error = 1.76627760951082968929948e-09 relative error = 2.9180570980790812024352527753195e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.515 y[1] (analytic) = 0.6056303061178312477292734707223 y[1] (numeric) = 0.60563030788513882106517580003339 absolute error = 1.76730757333590232931109e-09 relative error = 2.9181293529786726138737771822124e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2323.2MB, alloc=4.6MB, time=170.58 x[1] = 1.516 y[1] (analytic) = 0.6059683611153992967146409735361 y[1] (numeric) = 0.60596836288373704974979528993227 absolute error = 1.76833775303515431639617e-09 relative error = 2.9182014549079665907312091198903e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.517 y[1] (analytic) = 0.60630650511082434578378012908025 y[1] (numeric) = 0.60630650688019249433124449227602 absolute error = 1.76936814854746436319577e-09 relative error = 2.9182734040170798140741901746552e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.518 y[1] (analytic) = 0.60664473809853617259189111258245 y[1] (numeric) = 0.60664473986893493240359296209046 absolute error = 1.77039875981170184950801e-09 relative error = 2.9183452004559203530966230289324e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.519 y[1] (analytic) = 0.6069830600729636682846152534691 y[1] (numeric) = 0.60698306184439325505134208393042 absolute error = 1.77142958676672683046132e-09 relative error = 2.9184168443741880241471123219592e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.52 y[1] (analytic) = 0.6073214710285348379619510135466 y[1] (numeric) = 0.60732147280099546731334105823592 absolute error = 1.77246062935139004468932e-09 relative error = 2.9184883359213747490412034419193e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2327.0MB, alloc=4.6MB, time=170.74 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.521 y[1] (analytic) = 0.607659970959676801142148398363 y[1] (numeric) = 0.60765997273316868864668132087094 absolute error = 1.77349188750453292250794e-09 relative error = 2.9185596752467649126610350516511e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.522 y[1] (analytic) = 0.6079985598608157922255817259568 y[1] (numeric) = 0.60799856163533915339056932005068 absolute error = 1.77452336116498759409388e-09 relative error = 2.9186308624994357198425454720152e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.523 y[1] (analytic) = 0.60833723772637716095860067723125 y[1] (numeric) = 0.60833723950193221123017757489758 absolute error = 1.77555505027157689766633e-09 relative error = 2.9187018978282575515550110835293e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.524 y[1] (analytic) = 0.6086760045507853728973595522315 y[1] (numeric) = 0.60867600632737232766047393990042 absolute error = 1.77658695476311438766892e-09 relative error = 2.9187727813818943203695442978630e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2330.8MB, alloc=4.6MB, time=170.90 x[1] = 1.525 y[1] (analytic) = 0.60901486032846400987162465663035 y[1] (numeric) = 0.60901486210608308445002899958533 absolute error = 1.77761907457840434295498e-09 relative error = 2.9188435133088038252232293076184e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.526 y[1] (analytic) = 0.60935380505383577044855974276745 y[1] (numeric) = 0.60935380683248718010480151774161 absolute error = 1.77865140965624177497416e-09 relative error = 2.9189140937572381054772925204960e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.527 y[1] (analytic) = 0.6096928387213224703964894296188 y[1] (numeric) = 0.6096928405010064303319018655798 absolute error = 1.77968395993541243596100e-09 relative error = 2.9189845228752437942718807792896e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.528 y[1] (analytic) = 0.61003196132534504314864052610805 y[1] (numeric) = 0.6100319631060617685033333532335 absolute error = 1.78071672535469282712545e-09 relative error = 2.9190548008106624711790448994607e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2334.6MB, alloc=4.6MB, time=171.05 x[1] = 1.529 y[1] (analytic) = 0.61037117286032354026686118220555 y[1] (numeric) = 0.61037117464207324611971138905098 absolute error = 1.78174970585285020684543e-09 relative error = 2.9191249277111310141556694281150e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.53 y[1] (analytic) = 0.61071047332067713190531779229535 y[1] (numeric) = 0.61071047510346003327396039115683 absolute error = 1.78278290136864259886148e-09 relative error = 2.9191949037240819507980193077349e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.531 y[1] (analytic) = 0.6110498627008241072741695753257 y[1] (numeric) = 0.61104986448464041911498837579837 absolute error = 1.78381631184081880047267e-09 relative error = 2.9192647289967438088981295657487e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.532 y[1] (analytic) = 0.6113893409951818751032207562906 y[1] (numeric) = 0.61138934278003181231133914702581 absolute error = 1.78484993720811839073521e-09 relative error = 2.9193344036761414663059789982333e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2338.4MB, alloc=4.6MB, time=171.20 x[1] = 1.533 y[1] (analytic) = 0.6117289081981669641055502736271 y[1] (numeric) = 0.61172890998405074151482201228952 absolute error = 1.78588377740927173866242e-09 relative error = 2.9194039279090965000968298120284e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.534 y[1] (analytic) = 0.61206856430419502344111893714515 y[1] (numeric) = 0.61206856609111285582411894857233 absolute error = 1.78691783238300001142718e-09 relative error = 2.9194733018422275350471400662767e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.535 y[1] (analytic) = 0.6124083093076808231803539611434 y[1] (numeric) = 0.61240831109563292524836914370894 absolute error = 1.78795210206801518256554e-09 relative error = 2.9195425256219505914184593402447e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.536 y[1] (analytic) = 0.61274814320303825476771079739625 y[1] (numeric) = 0.6127481449920248411707308375792 absolute error = 1.78898658640302004018295e-09 relative error = 2.9196115993944794320532605674800e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2342.2MB, alloc=4.6MB, time=171.36 x[1] = 1.537 y[1] (analytic) = 0.6130880659846803314852121927343 y[1] (numeric) = 0.61308806777470161681192038789625 absolute error = 1.79002128532670819516195e-09 relative error = 2.9196805233058259087823729550419e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.538 y[1] (analytic) = 0.61342807764701918891596439597305 y[1] (numeric) = 0.61342807943807538769372848534504 absolute error = 1.79105619877776408937199e-09 relative error = 2.9197492975018003081466685692736e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.539 y[1] (analytic) = 0.6137681781844660854076504389802 y[1] (numeric) = 0.61376817997655741210251344286124 absolute error = 1.79209132669486300388104e-09 relative error = 2.9198179221280116964340007797323e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.54 y[1] (analytic) = 0.61410836759143140253600041670585 y[1] (numeric) = 0.61410836938455807155267148387498 absolute error = 1.79312666901667106716913e-09 relative error = 2.9198863973298682640331728787942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2346.1MB, alloc=4.6MB, time=171.51 x[1] = 1.541 y[1] (analytic) = 0.61444864586232464556823869103445 y[1] (numeric) = 0.61444864765648687125008395437833 absolute error = 1.79416222568184526334388e-09 relative error = 2.9199547232525776691065800402763e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.542 y[1] (analytic) = 0.61478901299155444392650794335245 y[1] (numeric) = 0.61478901478675244055554138370999 absolute error = 1.79519799662903344035754e-09 relative error = 2.9200229000411473805822850658018e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.543 y[1] (analytic) = 0.6151294689735285516512700007584 y[1] (numeric) = 0.61512947076976253344814431898511 absolute error = 1.79623398179687431822671e-09 relative error = 2.9200909278403850204689702671691e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.544 y[1] (analytic) = 0.6154700138026538478646833608798 y[1] (numeric) = 0.61547001559992402898868085813273 absolute error = 1.79727018112399749725293e-09 relative error = 2.9201588067948987054923536667888e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2349.9MB, alloc=4.6MB, time=171.67 x[1] = 1.545 y[1] (analytic) = 0.6158106474733363372339573402919 y[1] (numeric) = 0.61581064927164293178298080653786 absolute error = 1.79830659454902346624596e-09 relative error = 2.9202265370490973880575614983200e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.546 y[1] (analytic) = 0.6161513699799811504346827715709 y[1] (numeric) = 0.61615137177932437244524638231969 absolute error = 1.79934322201056361074879e-09 relative error = 2.9202941187471911965374201263978e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.547 y[1] (analytic) = 0.61649218131699254461413917404805 y[1] (numeric) = 0.61649218311737260806135939531217 absolute error = 1.80038006344722022126412e-09 relative error = 2.9203615520331917748877689907816e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.548 y[1] (analytic) = 0.61683308147877390385457832336485 y[1] (numeric) = 0.61683308328019102265216482484755 absolute error = 1.80141711879758650148270e-09 relative error = 2.9204288370509126215919479444637e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.549 y[1] (analytic) = 0.61717407045972773963648414496355 y[1] (numeric) = 0.61717407226218212763673072147819 absolute error = 1.80245438800024657651464e-09 relative error = 2.9204959739439694279377723036287e-07 % Correct digits = 8 h = 0.001 memory used=2353.7MB, alloc=4.6MB, time=171.83 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.55 y[1] (analytic) = 0.6175151482542556913018088566854 y[1] (numeric) = 0.61751515005774756229558435780662 absolute error = 1.80349187099377550112122e-09 relative error = 2.9205629628557804156244997060119e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.551 y[1] (analytic) = 0.6178563148567585265171852856789 y[1] (numeric) = 0.6178563166612880942339245536282 absolute error = 1.80452956771673926794930e-09 relative error = 2.9206298039295666737047032739564e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.552 y[1] (analytic) = 0.6181975702616361417371152848587 y[1] (numeric) = 0.61819757206720361984481010062563 absolute error = 1.80556747810769481576693e-09 relative error = 2.9206964973083524948602850955525e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.553 y[1] (analytic) = 0.6185389144632875626671341741869 y[1] (numeric) = 0.61853891626989316477232421188901 absolute error = 1.80660560210519003770211e-09 relative error = 2.9207630431349657110172862268965e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2357.5MB, alloc=4.6MB, time=171.98 x[1] = 1.554 y[1] (analytic) = 0.61888034745611094472695113208765 y[1] (numeric) = 0.61888034926375488437471492156992 absolute error = 1.80764393964776378948227e-09 relative error = 2.9208294415520380282970543910620e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.555 y[1] (analytic) = 0.6192218692345035735135654623369 y[1] (numeric) = 0.61922187104318606418751136001252 absolute error = 1.80868249067394589767562e-09 relative error = 2.9208956927020053613071255589779e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.556 y[1] (analytic) = 0.6195634797928618652643586618046 y[1] (numeric) = 0.61956348160258312038661582973955 absolute error = 1.80972125512225716793495e-09 relative error = 2.9209617967271081667742435978372e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.557 y[1] (analytic) = 0.61990517912558136732016221446245 y[1] (numeric) = 0.61990518093634160025137160770555 absolute error = 1.81076023293120939324310e-09 relative error = 2.9210277537693917765197403904783e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2361.3MB, alloc=4.6MB, time=172.13 x[1] = 1.558 y[1] (analytic) = 0.6202469672270567585883010371046 y[1] (numeric) = 0.62024696903885618262760639926454 absolute error = 1.81179942403930536215994e-09 relative error = 2.9210935639707067297785002305447e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.559 y[1] (analytic) = 0.62058884409168185000561250226245 y[1] (numeric) = 0.620588845904520678390651369334 absolute error = 1.81283882838503886707155e-09 relative error = 2.9211592274727091048640993488131e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.56 y[1] (analytic) = 0.62093080971384958500144096383065 y[1] (numeric) = 0.62093081152772803090833567627172 absolute error = 1.81387844590689471244107e-09 relative error = 2.9212247444168608501807379892754e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.561 y[1] (analytic) = 0.62127286408795203996060771095535 y[1] (numeric) = 0.62127286590287031650395643401685 absolute error = 1.81491827654334872306150e-09 relative error = 2.9212901149444301145838862670430e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2365.1MB, alloc=4.6MB, time=172.29 x[1] = 1.562 y[1] (analytic) = 0.6216150072083804246863562757712 y[1] (numeric) = 0.62161500902433874491922402808129 absolute error = 1.81595832023286775231009e-09 relative error = 2.9213553391964915770905297578156e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.563 y[1] (analytic) = 0.62195723906952508286327302060735 y[1] (numeric) = 0.6219572408865236597771827110122 absolute error = 1.81699857691390969040485e-09 relative error = 2.9214204173139267759413305792267e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.564 y[1] (analytic) = 0.6222995596657754925201829303184 y[1] (numeric) = 0.62229956148381453904510640298124 absolute error = 1.81803904652492347266284e-09 relative error = 2.9214853494374244370156142313456e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.565 y[1] (analytic) = 0.6226419689915202664930205354311 y[1] (numeric) = 0.62264197081059999549736962319102 absolute error = 1.81907972900434908775992e-09 relative error = 2.9215501357074808016001233074804e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2369.0MB, alloc=4.6MB, time=172.44 x[1] = 1.566 y[1] (analytic) = 0.62298446704114715288767589183075 y[1] (numeric) = 0.62298446886126777717829347782395 absolute error = 1.82012062429061758599320e-09 relative error = 2.9216147762643999535149818443507e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.567 y[1] (analytic) = 0.6233270538090430355428155427494 y[1] (numeric) = 0.62332705563020476786496663029342 absolute error = 1.82116173232215108754402e-09 relative error = 2.9216792712482941455948310116309e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.568 y[1] (analytic) = 0.62366972928959393449267838884845 y[1] (numeric) = 0.6236697311117969875300411795923 absolute error = 1.82220305303736279074385e-09 relative error = 2.9217436207990841255304200675213e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.569 y[1] (analytic) = 0.6240124934771850064298463922268 y[1] (numeric) = 0.62401249530042959280450337256835 absolute error = 1.82324458637465698034155e-09 relative error = 2.9218078250564994610695859929682e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2372.8MB, alloc=4.6MB, time=172.60 x[1] = 1.57 y[1] (analytic) = 0.6243553463662005451679900402187 y[1] (numeric) = 0.62435534819048687744041907599113 absolute error = 1.82428633227242903577243e-09 relative error = 2.9218718841600788645797658905830e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.571 y[1] (analytic) = 0.62469828795102398210458849488055 y[1] (numeric) = 0.62469828977635227277365393430973 absolute error = 1.82532829066906543942918e-09 relative error = 2.9219357982491705169735872182315e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.572 y[1] (analytic) = 0.6250413182260378866836243541009 y[1] (numeric) = 0.62504132005240834818656813903571 absolute error = 1.82637046150294378493481e-09 relative error = 2.9219995674629323909991888120069e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.573 y[1] (analytic) = 0.6253844371856239668582529503036 y[1] (numeric) = 0.62538443901303681157068573572028 absolute error = 1.82741284471243278541668e-09 relative error = 2.9220631919403325738952261084461e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2376.6MB, alloc=4.6MB, time=172.75 x[1] = 1.574 y[1] (analytic) = 0.62572764482416306955344611274635 y[1] (numeric) = 0.62572764665261850978933839452989 absolute error = 1.82845544023589228178354e-09 relative error = 2.9221266718201495894150555555083e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.575 y[1] (analytic) = 0.62607094113603518112861031945635 y[1] (numeric) = 0.6260709429655334291402835704591 absolute error = 1.82949824801167325100275e-09 relative error = 2.9221900072409727192169891417814e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.576 y[1] (analytic) = 0.6264143261156194278401791648735 y[1] (numeric) = 0.62641432794616069581829697925469 absolute error = 1.83054126797811781438119e-09 relative error = 2.9222531983412023236276473426629e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.577 y[1] (analytic) = 0.6267577997572940763041800693136 y[1] (numeric) = 0.62675780158887857637773931515982 absolute error = 1.83158450007355924584622e-09 relative error = 2.9223162452590501617740027022185e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2380.4MB, alloc=4.6MB, time=172.90 x[1] = 1.578 y[1] (analytic) = 0.6271013620554365339587751563926 y[1] (numeric) = 0.62710136388806447819509713662193 absolute error = 1.83262794423632198022933e-09 relative error = 2.9223791481325397110897425369379e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.579 y[1] (analytic) = 0.62744501300442334952677622459145 y[1] (numeric) = 0.62744501483809494993149784614326 absolute error = 1.83367160040472162155181e-09 relative error = 2.9224419070995064861962818575690e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.58 y[1] (analytic) = 0.6277887525986302134781337391764 y[1] (numeric) = 0.62778875443334568199519869048754 absolute error = 1.83471546851706495131114e-09 relative error = 2.9225045222975983571577552428976e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.581 y[1] (analytic) = 0.6281325808324319584923997707212 y[1] (numeric) = 0.62813258266819150700404970749164 absolute error = 1.83575954851164993677044e-09 relative error = 2.9225669938642758671151169009401e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.582 y[1] (analytic) = 0.6284764977002025599211648065172 y[1] (numeric) = 0.62847649953700640024793054576577 absolute error = 1.83680384032676573924857e-09 relative error = 2.9226293219368125492969003466419e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2384.2MB, alloc=4.6MB, time=173.06 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.583 y[1] (analytic) = 0.6288205031963151362504683611882 y[1] (numeric) = 0.62882050503416348015116108360097 absolute error = 1.83784834390069272241277e-09 relative error = 2.9226915066522952434110406267204e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.584 y[1] (analytic) = 0.62916459731514194956318331286475 y[1] (numeric) = 0.6291645991540350087348857734376 absolute error = 1.83889305917170246057285e-09 relative error = 2.9227535481476244114175678536040e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.585 y[1] (analytic) = 0.62950878005105440600137389130645 y[1] (numeric) = 0.62950878189099239207943163828349 absolute error = 1.83993798607805774697704e-09 relative error = 2.9228154465595144526837316156852e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.586 y[1] (analytic) = 0.6298530513984230562286272443961 y[1] (numeric) = 0.62985305323940618078663984650557 absolute error = 1.84098312455801260210947e-09 relative error = 2.9228772020244940185228893110170e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2388.0MB, alloc=4.6MB, time=173.22 x[1] = 1.587 y[1] (analytic) = 0.63019741135161759589235850946425 y[1] (numeric) = 0.63019741319364607044217079145385 absolute error = 1.84202847454981228198960e-09 relative error = 2.9229388146789063261190435713448e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.588 y[1] (analytic) = 0.6305418599050068660860893159376 y[1] (numeric) = 0.63054186174808090207778260241152 absolute error = 1.84307403599169328647392e-09 relative error = 2.9230002846589094718389082633793e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.589 y[1] (analytic) = 0.6308863970529588538116996458422 y[1] (numeric) = 0.63088639889707866263358301340026 absolute error = 1.84411980882188336755806e-09 relative error = 2.9230616121004767439299214365077e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.59 y[1] (analytic) = 0.63123102278984069244165297872265 y[1] (numeric) = 0.63123102463500648542025451640475 absolute error = 1.84516579297860153768210e-09 relative error = 2.9231227971393969346099995924729e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2391.8MB, alloc=4.6MB, time=173.37 x[1] = 1.591 y[1] (analytic) = 0.63157573711001866218119464757865 y[1] (numeric) = 0.63157573895623065058125272561556 absolute error = 1.84621198840005807803691e-09 relative error = 2.9231838399112746515469515233166e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.592 y[1] (analytic) = 0.63192054000785819053052333245265 y[1] (numeric) = 0.63192054185511658555497787932468 absolute error = 1.84725839502445454687203e-09 relative error = 2.9232447405515306287297226106886e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.593 y[1] (analytic) = 0.6322654314777238527469356183373 y[1] (numeric) = 0.63226543332602886553691940614307 absolute error = 1.84830501278998378780577e-09 relative error = 2.9233054991954020367339024070296e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.594 y[1] (analytic) = 0.632610411513979372306943544108 y[1] (numeric) = 0.63261041336333121394177348224482 absolute error = 1.84935184163482993813682e-09 relative error = 2.9233661159779427923817229769812e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2395.7MB, alloc=4.6MB, time=173.53 x[1] = 1.595 y[1] (analytic) = 0.6329554801109876213683650692197 y[1] (numeric) = 0.63295548196138650286553350637753 absolute error = 1.85039888149716843715783e-09 relative error = 2.9234265910340238677986254614477e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.596 y[1] (analytic) = 0.6333006372631106212323873849436 y[1] (numeric) = 0.63330063911455675354755341941378 absolute error = 1.85144613231516603447018e-09 relative error = 2.9234869244983335988665077752576e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.597 y[1] (analytic) = 0.6336458829647095428056029969528 y[1] (numeric) = 0.63364588481720313683258379525365 absolute error = 1.85249359402698079830085e-09 relative error = 2.9235471165053779930764354544845e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.598 y[1] (analytic) = 0.63399121721014470706201850610185 y[1] (numeric) = 0.63399121906368597363278062992358 absolute error = 1.85354126657076212382173e-09 relative error = 2.9236071671894810367826889707614e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2399.5MB, alloc=4.6MB, time=173.68 x[1] = 1.599 y[1] (analytic) = 0.6343366399937755855050360142834 y[1] (numeric) = 0.63433664184836473538968675575184 absolute error = 1.85458914988465074146844e-09 relative error = 2.9236670766847850018548601552274e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.6 y[1] (analytic) = 0.6346821513099608006294070822722 y[1] (numeric) = 0.63468215316559804453618580753626 absolute error = 1.85563724390677872526406e-09 relative error = 2.9237268451252507517378518398567e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.601 y[1] (analytic) = 0.6350277511530581263831591665137 y[1] (numeric) = 0.63502775300974367495842866765501 absolute error = 1.85668554857526950114131e-09 relative error = 2.9237864726446580469109180513694e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.602 y[1] (analytic) = 0.63537343951742448862949446183725 y[1] (numeric) = 0.63537344137515855245773231710646 absolute error = 1.85773406382823785526921e-09 relative error = 2.9238459593766058497565808386257e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2403.3MB, alloc=4.6MB, time=173.84 x[1] = 1.603 y[1] (analytic) = 0.6357192163974159656086610771199 y[1] (numeric) = 0.63571921825619875521245101949936 absolute error = 1.85878278960378994237946e-09 relative error = 2.9239053054545126288332422334596e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.604 y[1] (analytic) = 0.63606508178738778839979647095435 y[1] (numeric) = 0.63606508364721951423981976504993 absolute error = 1.85983172584002329409558e-09 relative error = 2.9239645110116166625576020593821e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.605 y[1] (analytic) = 0.63641103568169434138274307441425 y[1] (numeric) = 0.63641103754257521385776990167759 absolute error = 1.86088087247502682726334e-09 relative error = 2.9240235761809763422958815640190e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.606 y[1] (analytic) = 0.636757078074689162699836028043 y[1] (numeric) = 0.63675707993661939214671688032639 absolute error = 1.86193022944688085228339e-09 relative error = 2.9240825010954704748665973132689e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2407.1MB, alloc=4.6MB, time=173.99 x[1] = 1.607 y[1] (analytic) = 0.63710320896072494471766296022975 y[1] (numeric) = 0.63710321082370474141132004167452 absolute error = 1.86297979669365708144477e-09 relative error = 2.9241412858877985844541200666922e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.608 y[1] (analytic) = 0.6374494283341535344887957341688 y[1] (numeric) = 0.63744943019818310864221437142947 absolute error = 1.86402957415341863726067e-09 relative error = 2.9241999306904812139364790366151e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.609 y[1] (analytic) = 0.63779573618932593421349409063565 y[1] (numeric) = 0.63779573805440549597771415144187 absolute error = 1.86507956176422006080622e-09 relative error = 2.9242584356358602256283663573909e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.61 y[1] (analytic) = 0.63814213252059230170138111384945 y[1] (numeric) = 0.6381421343867220611654884339062 absolute error = 1.86612975946410732005675e-09 relative error = 2.9243168008560991014381950005225e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2410.9MB, alloc=4.6MB, time=174.15 x[1] = 1.611 y[1] (analytic) = 0.63848861732230195083309044772285 y[1] (numeric) = 0.63848861918948211802420826595202 absolute error = 1.86718016719111781822917e-09 relative error = 2.9243750264831832424446644420450e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.612 y[1] (analytic) = 0.6388351905888033520218851898406 y[1] (numeric) = 0.63883519245703413690516559196462 absolute error = 1.86823078488328040212402e-09 relative error = 2.9244331126489202678902838355523e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.613 y[1] (analytic) = 0.63918185231444413267524839053935 y[1] (numeric) = 0.63918185418372574515386376100938 absolute error = 1.86928161247861537047003e-09 relative error = 2.9244910594849403135960275902132e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.614 y[1] (analytic) = 0.6395286024935710776564450845005 y[1] (numeric) = 0.63952860436390372757157956676953 absolute error = 1.87033264991513448226903e-09 relative error = 2.9245488671226963297950279214485e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.615 y[1] (analytic) = 0.639875441120530129746055782298 y[1] (numeric) = 0.63987544299191402687689674744229 absolute error = 1.87138389713084096514429e-09 relative error = 2.9246065356934643783914094885772e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2414.7MB, alloc=4.6MB, time=174.30 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.616 y[1] (analytic) = 0.64022236818966639010348134938485 y[1] (numeric) = 0.64022237006210174416721087307382 absolute error = 1.87243535406372952368897e-09 relative error = 2.9246640653283439296403506136311e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.617 y[1] (analytic) = 0.64056938369532411872841920003125 y[1] (numeric) = 0.64056938556881113938020554784881 absolute error = 1.87348702065178634781756e-09 relative error = 2.9247214561582581582551537813444e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.618 y[1] (analytic) = 0.64091648763184673492231073376845 y[1] (numeric) = 0.64091648950638563175529985488589 absolute error = 1.87453889683298912111744e-09 relative error = 2.9247787083139542389381138995822e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.619 y[1] (analytic) = 0.6412636799935768177497599419216 y[1] (numeric) = 0.64126368186916780029506697112551 absolute error = 1.87559098254530702920391e-09 relative error = 2.9248358219260036413416886449417e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2418.5MB, alloc=4.6MB, time=174.46 x[1] = 1.62 y[1] (analytic) = 0.64161096077485610649992311185715 y[1] (numeric) = 0.64161096265149938422662387993239 absolute error = 1.87664327772670076807524e-09 relative error = 2.9248927971248024244558510789460e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.621 y[1] (analytic) = 0.6419583299700255011478695565994 y[1] (numeric) = 0.64195833184772128346299210907001 absolute error = 1.87769578231512255247061e-09 relative error = 2.9249496340405715304273697513000e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.622 y[1] (analytic) = 0.6423057875734250628159132975113 y[1] (numeric) = 0.64230578945217355906442942174012 absolute error = 1.87874849624851612422882e-09 relative error = 2.9250063328033570778089700935704e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.623 y[1] (analytic) = 0.6426533335793940142349156277665 y[1] (numeric) = 0.64265333545919543369973238841565 absolute error = 1.87980141946481676064915e-09 relative error = 2.9250628935430306542417882420298e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2422.4MB, alloc=4.6MB, time=174.61 x[1] = 1.624 y[1] (analytic) = 0.64300096798227074020555848437725 y[1] (numeric) = 0.643000969863125292107509767231 absolute error = 1.88085455190195128285375e-09 relative error = 2.9251193163892896085714055773957e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.625 y[1] (analytic) = 0.64334869077639278805958855657735 y[1] (numeric) = 0.64334869265830068155742662072903 absolute error = 1.88190789349783806415168e-09 relative error = 2.9251756014716573423989035574585e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.626 y[1] (analytic) = 0.64369650195609686812103205839505 y[1] (numeric) = 0.64369650383905831231141909679964 absolute error = 1.88296144419038703840459e-09 relative error = 2.9252317489194836010681725377082e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.627 y[1] (analytic) = 0.6440444015157188541673800932868 y[1] (numeric) = 0.64404440339973405808487980168036 absolute error = 1.88401520391749970839356e-09 relative error = 2.9252877588619447640899754737301e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2426.2MB, alloc=4.6MB, time=174.76 x[1] = 1.628 y[1] (analytic) = 0.64439238944959378389074453873575 y[1] (numeric) = 0.64439239133466295650781369292476 absolute error = 1.88506917261706915418901e-09 relative error = 2.9253436314280441350069764424721e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.629 y[1] (analytic) = 0.64474046575205585935898437876005 y[1] (numeric) = 0.64474046763817920958596442028028 absolute error = 1.88612335022698004152023e-09 relative error = 2.9253993667466122306956145977401e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.63 y[1] (analytic) = 0.6450886304174384474768024123042 y[1] (numeric) = 0.64508863230461618416191104245225 absolute error = 1.88717773668510863014805e-09 relative error = 2.9254549649463070701115289443155e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.631 y[1] (analytic) = 0.64543688344007408044681226552805 y[1] (numeric) = 0.64543688532830641237613504776679 absolute error = 1.88823233192932278223874e-09 relative error = 2.9255104261556144624767997450408e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2430.0MB, alloc=4.6MB, time=174.92 x[1] = 1.632 y[1] (analytic) = 0.64578522481429445623057563604135 y[1] (numeric) = 0.64578522670358159212805760678057 absolute error = 1.88928713589748197073922e-09 relative error = 2.9255657505028482949103636312720e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.633 y[1] (analytic) = 0.6461336545344304390096096971667 y[1] (numeric) = 0.64613365642477258753704698492112 absolute error = 1.89034214852743728775442e-09 relative error = 2.9256209381161508195041321176908e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.634 y[1] (analytic) = 0.64648217259481205964636459035165 y[1] (numeric) = 0.64648217448620942940339604327696 absolute error = 1.89139736975703145292531e-09 relative error = 2.9256759891234929398437459107041e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.635 y[1] (analytic) = 0.64683077898976851614517093388225 y[1] (numeric) = 0.64683078088222131566926975569228 absolute error = 1.89245279952409882181003e-09 relative error = 2.9257309036526744969789491002277e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2433.8MB, alloc=4.6MB, time=175.07 x[1] = 1.636 y[1] (analytic) = 0.6471794737136281741131572760916 y[1] (numeric) = 0.64717947560713661187962267035673 absolute error = 1.89350843776646539426513e-09 relative error = 2.9257856818313245548401732818003e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.637 y[1] (analytic) = 0.6475282567607185672211374212869 y[1] (numeric) = 0.64752825865528285164308624411628 absolute error = 1.89456428442194882282938e-09 relative error = 2.9258403237869016851063551926861e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.638 y[1] (analytic) = 0.64787712812536639766446755665785 y[1] (numeric) = 0.64787713002098673709282597776683 absolute error = 1.89562033942835842110898e-09 relative error = 2.9258948296466942515233891236128e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.639 y[1] (analytic) = 0.6482260878018975366238731084643 y[1] (numeric) = 0.64822608969857413934736828062793 absolute error = 1.89667660272349517216363e-09 relative error = 2.9259491995378206936735920419831e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2437.6MB, alloc=4.6MB, time=175.23 x[1] = 1.64 y[1] (analytic) = 0.6485751357846370247262452558336 y[1] (numeric) = 0.64857513768237009897139699272951 absolute error = 1.89773307424515173689591e-09 relative error = 2.9260034335872298102011700542977e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.641 y[1] (analytic) = 0.64892427206790907250540703054005 y[1] (numeric) = 0.64892427396669882643651949298025 absolute error = 1.89878975393111246244020e-09 relative error = 2.9260575319217010414890704800346e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.642 y[1] (analytic) = 0.64927349664603706086284893116725 y[1] (numeric) = 0.64927349854588370258200232172187 absolute error = 1.89984664171915339055462e-09 relative error = 2.9261114946678447517937921870206e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.643 y[1] (analytic) = 0.64962280951334354152843398009515 y[1] (numeric) = 0.64962281141424727907547624610932 absolute error = 1.90090373754704226601417e-09 relative error = 2.9261653219521025108365421898181e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2441.4MB, alloc=4.6MB, time=175.38 x[1] = 1.644 y[1] (analytic) = 0.64997221066415023752107215178755 y[1] (numeric) = 0.64997221256611127887361069679244 absolute error = 1.90196104135253854500489e-09 relative error = 2.9262190139007473748516588091362e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.645 y[1] (analytic) = 0.65032170009277804360936410088945 y[1] (numeric) = 0.65032170199579659668275750441055 absolute error = 1.90301855307339340352110e-09 relative error = 2.9262725706398841670966643666737e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.646 y[1] (analytic) = 0.65067127779354702677221411868475 y[1] (numeric) = 0.65067127969762329941956386444688 absolute error = 1.90407627264734974576213e-09 relative error = 2.9263259922954497578196104762515e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.647 y[1] (analytic) = 0.6510209437607764266594122464933 y[1] (numeric) = 0.65102094566591062667155445902574 absolute error = 1.90513420001214221253244e-09 relative error = 2.9263792789932133436909047942548e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.648 y[1] (analytic) = 0.6513706979887846560521854746285 y[1] (numeric) = 0.65137069989497699115768266427087 absolute error = 1.90619233510549718964237e-09 relative error = 2.9264324308587767266965547950339e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2445.2MB, alloc=4.6MB, time=175.54 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.649 y[1] (analytic) = 0.6517205404718893013237179555686 y[1] (numeric) = 0.65172054237913997918885077187919 absolute error = 1.90725067786513281631059e-09 relative error = 2.9264854480175745924956561958264e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.65 y[1] (analytic) = 0.65207047120440712289964016003145 y[1] (numeric) = 0.65207047311271635112839915360002 absolute error = 1.90830922822875899356857e-09 relative error = 2.9265383305948747882437934910109e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.651 y[1] (analytic) = 0.6524204901806540557184869046797 y[1] (numeric) = 0.65242049209002204185256429734543 absolute error = 1.90936798613407739266573e-09 relative error = 2.9265910787157785998814706724485e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.652 y[1] (analytic) = 0.652770597394945209692124180216 y[1] (numeric) = 0.65277059930537216121090564369331 absolute error = 1.91042695151878146347731e-09 relative error = 2.9266436925052210288918740632149e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2449.1MB, alloc=4.6MB, time=175.69 x[1] = 1.653 y[1] (analytic) = 0.6531207928415948701661447086679 y[1] (numeric) = 0.65312079475308099448670115158045 absolute error = 1.91148612432055644291255e-09 relative error = 2.9266961720879710685254394368593e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.654 y[1] (analytic) = 0.6534710765149164983802321586932 y[1] (numeric) = 0.65347107842746200285731152201872 absolute error = 1.91254550447707936332552e-09 relative error = 2.9267485175886319794959774313137e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.655 y[1] (analytic) = 0.65382144840922273192849394777645 y[1] (numeric) = 0.65382145032282782385451300870328 absolute error = 1.91360509192601906092683e-09 relative error = 2.9268007291316415651468068952842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.656 y[1] (analytic) = 0.65417190851882538521976256022025 y[1] (numeric) = 0.65417191043349027182479874441744 absolute error = 1.91466488660503618419719e-09 relative error = 2.9268528068412724460895430609785e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2452.9MB, alloc=4.6MB, time=175.84 x[1] = 1.657 y[1] (analytic) = 0.6545224568380354499378653098727 y[1] (numeric) = 0.65452245875376033838964851217485 absolute error = 1.91572488845178320230215e-09 relative error = 2.9269047508416323343156725667834e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.658 y[1] (analytic) = 0.65487309336116309550186247656615 y[1] (numeric) = 0.65487309527794819290576689007527 absolute error = 1.91678509740390441350912e-09 relative error = 2.9269565612566643067837517046255e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.659 y[1] (analytic) = 0.6552238180825176695262537452813 y[1] (numeric) = 0.65522382000036318292528969888617 absolute error = 1.91784551339903595360487e-09 relative error = 2.9270082382101470784806282532136e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.66 y[1] (analytic) = 0.6555746309964076982811528770825 y[1] (numeric) = 0.65557463291531383465595868139825 absolute error = 1.91890613637480580431575e-09 relative error = 2.9270597818256952749612587277418e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2456.7MB, alloc=4.6MB, time=176.00 x[1] = 1.661 y[1] (analytic) = 0.6559255320971408871524305409101 y[1] (numeric) = 0.65592553401710785342126434263873 absolute error = 1.91996696626883380172863e-09 relative error = 2.9271111922267597043652112551810e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.662 y[1] (analytic) = 0.65627652137902412110182523534935 y[1] (numeric) = 0.65627652330005212412055688006231 absolute error = 1.92102800301873164471296e-09 relative error = 2.9271624695366276289116115252295e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.663 y[1] (analytic) = 0.6566275988363634651270222295291 y[1] (numeric) = 0.65662760075845271168912513287542 absolute error = 1.92208924656210290334632e-09 relative error = 2.9272136138784230358772840087588e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.664 y[1] (analytic) = 0.65697876446346416472170045234625 y[1] (numeric) = 0.6569787663866148615582434796853 absolute error = 1.92315069683654302733905e-09 relative error = 2.9272646253751069080525024187516e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2460.5MB, alloc=4.6MB, time=176.15 x[1] = 1.665 y[1] (analytic) = 0.65733001825463064633554725923975 y[1] (numeric) = 0.6573300201788430001151866137015 absolute error = 1.92421235377963935446175e-09 relative error = 2.9273155041494774936812640296523e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.666 y[1] (analytic) = 0.6576813602041665178342410057788 y[1] (numeric) = 0.65768136212944073516321212475308 absolute error = 1.92527421732897111897428e-09 relative error = 2.9273662503241705758851292480819e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.667 y[1] (analytic) = 0.65803279030637456895940135736475 y[1] (numeric) = 0.6580327922327108563815108174209 absolute error = 1.92633628742210946005615e-09 relative error = 2.9274168640216597415715887670555e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.668 y[1] (analytic) = 0.65838430855555677178850726438235 y[1] (numeric) = 0.65838431048295533578512469462019 absolute error = 1.92739856399661743023784e-09 relative error = 2.9274673453642566498273869685618e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2464.3MB, alloc=4.6MB, time=176.30 x[1] = 1.669 y[1] (analytic) = 0.65873591494601428119478253217 y[1] (numeric) = 0.65873591687447532818483253600464 absolute error = 1.92846104699005000383464e-09 relative error = 2.9275176944741112998003424724513e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.67 y[1] (analytic) = 0.65908760947204743530704891521785 y[1] (numeric) = 0.65908761140157117164700300059912 absolute error = 1.92952373633995408538127e-09 relative error = 2.9275679114732122980681412143526e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.671 y[1] (analytic) = 0.65943939212795575596954666503615 y[1] (numeric) = 0.65943939405854238795341518310414 absolute error = 1.93058663198386851806799e-09 relative error = 2.9276179964833871254963012437230e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.672 y[1] (analytic) = 0.65979126290803794920172246117245 y[1] (numeric) = 0.65979126483968768306104655335116 absolute error = 1.93164973385932409217871e-09 relative error = 2.9276679496263024035871979533712e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2468.1MB, alloc=4.6MB, time=176.46 x[1] = 1.673 y[1] (analytic) = 0.66014322180659190565798465489325 y[1] (numeric) = 0.66014322373930494756182820842376 absolute error = 1.93271304190384355353051e-09 relative error = 2.9277177710234641603203661104266e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.674 y[1] (analytic) = 0.66049526881791470108742575508195 y[1] (numeric) = 0.66049527075169125714236736699577 absolute error = 1.93377655605494161191382e-09 relative error = 2.9277674607962180954840539047388e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.675 y[1] (analytic) = 0.66084740393630259679351208593815 y[1] (numeric) = 0.66084740587114287304363703547336 absolute error = 1.93484027625012494953521e-09 relative error = 2.9278170190657498455020920085627e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.676 y[1] (analytic) = 0.661199627156051040093740546103 y[1] (numeric) = 0.66119962909195524252063277556423 absolute error = 1.93590420242689222946123e-09 relative error = 2.9278664459530852477548168010671e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2472.0MB, alloc=4.6MB, time=176.61 x[1] = 1.677 y[1] (analytic) = 0.66155193847145466477926239886955 y[1] (numeric) = 0.66155194040842299930199650293292 absolute error = 1.93696833452273410406337e-09 relative error = 2.9279157415790906043952581773080e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.678 y[1] (analytic) = 0.66190433787680729157447402317225 y[1] (numeric) = 0.66190433981483996404960724663739 absolute error = 1.93803267247513322346514e-09 relative error = 2.9279649060644729456632042371347e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.679 y[1] (analytic) = 0.66225682536640192859657455508805 y[1] (numeric) = 0.66225682730549914481813879907802 absolute error = 1.93909721622156424398997e-09 relative error = 2.9280139395297802926962730419171e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.68 y[1] (analytic) = 0.66260940093453077181509034961505 y[1] (numeric) = 0.66260940287469273751458418622626 absolute error = 1.94016196569949383661121e-09 relative error = 2.9280628420954019198410210036829e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.681 y[1] (analytic) = 0.66296206457548520551136619253275 y[1] (numeric) = 0.66296206651671212635774688793617 absolute error = 1.94122692084638069540342e-09 relative error = 2.9281116138815686164639540396555e-07 % Correct digits = 8 h = 0.001 memory used=2475.8MB, alloc=4.6MB, time=176.77 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.682 y[1] (analytic) = 0.6633148162835558027380231921837 y[1] (numeric) = 0.6633148182258478843376987381782 absolute error = 1.94229208159967554599450e-09 relative error = 2.9281602550083529482628528900967e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.683 y[1] (analytic) = 0.66366765605303232577838328105015 y[1] (numeric) = 0.66366765799638977367520443507064 absolute error = 1.94335744789682115402049e-09 relative error = 2.9282087655956695180822596678725e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.684 y[1] (analytic) = 0.6640205838782037266058602570396 y[1] (numeric) = 0.66402058582262674628111259062024 absolute error = 1.94442301967525233358064e-09 relative error = 2.9282571457632752262305880288512e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.685 y[1] (analytic) = 0.664373599753358147343317294425 y[1] (numeric) = 0.66437360169884694421571325011958 absolute error = 1.94548879687239595569458e-09 relative error = 2.9283053956307695303026989860701e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2479.6MB, alloc=4.6MB, time=176.92 x[1] = 1.686 y[1] (analytic) = 0.66472670367278292072239085442405 y[1] (numeric) = 0.66472670561933770014806181118498 absolute error = 1.94655477942567095676093e-09 relative error = 2.9283535153175947045080241185054e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.687 y[1] (analytic) = 0.6650798956307645705427809254372 y[1] (numeric) = 0.66507989757838553781526927245467 absolute error = 1.94762096727248834701747e-09 relative error = 2.9284015049430360985054923092015e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.688 y[1] (analytic) = 0.6654331756215888121315075230012 y[1] (numeric) = 0.66543317757027617248175874200329 absolute error = 1.94868736035025121900209e-09 relative error = 2.9284493646262223957451602481414e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.689 y[1] (analytic) = 0.6657865436395405528021333795491 y[1] (numeric) = 0.66578654558929451139848813556471 absolute error = 1.94975395859635475601561e-09 relative error = 2.9284970944861258713192579990538e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2483.4MB, alloc=4.6MB, time=177.07 x[1] = 1.69 y[1] (analytic) = 0.6661399996789038923139527541048 y[1] (numeric) = 0.66614000162972465426213899469151 absolute error = 1.95082076194818624058671e-09 relative error = 2.9285446946415626493240753435230e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.691 y[1] (analytic) = 0.66649354373396212333114629207835 y[1] (numeric) = 0.66649354568584989367427135501542 absolute error = 1.95188777034312506293707e-09 relative error = 2.9285921652111929597308996516323e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.692 y[1] (analytic) = 0.6668471757989977318819018653606 y[1] (numeric) = 0.66684717775195271560044459480936 absolute error = 1.95295498371854272944876e-09 relative error = 2.9286395063135213947701339326692e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.693 y[1] (analytic) = 0.66720089586829239781750132295475 y[1] (numeric) = 0.66720089782231479982930419408778 absolute error = 1.95402240201180287113303e-09 relative error = 2.9286867180668971648283765984141e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2487.2MB, alloc=4.6MB, time=177.22 x[1] = 1.694 y[1] (analytic) = 0.66755470393612699527137308241815 y[1] (numeric) = 0.6675547058912170204316343345182 absolute error = 1.95509002516026125210005e-09 relative error = 2.9287338005895143538588465016994e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.695 y[1] (analytic) = 0.6679085999967815931181104924227 y[1] (numeric) = 0.66790860195293944621937627045306 absolute error = 1.95615785310126577803036e-09 relative error = 2.9287807539994121743073487137083e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.696 y[1] (analytic) = 0.66826258404453545543245589677915 y[1] (numeric) = 0.66826258600176134120461240142725 absolute error = 1.95722588577215650464810e-09 relative error = 2.9288275784144752215549365703932e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.697 y[1] (analytic) = 0.66861665607366704194825033030745 y[1] (numeric) = 0.66861665803196116505851597650277 absolute error = 1.95829412311026564619532e-09 relative error = 2.9288742739524337278772708809311e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2491.0MB, alloc=4.6MB, time=177.38 x[1] = 1.698 y[1] (analytic) = 0.6689708160784540085173487769711 y[1] (numeric) = 0.6689708180378165735702663608783 absolute error = 1.95936256505291758390720e-09 relative error = 2.9289208407308638159214713329759e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.699 y[1] (analytic) = 0.6693250640531732075685009207278 y[1] (numeric) = 0.66932506601360441910592979521764 absolute error = 1.96043121153742887448984e-09 relative error = 2.9289672788671877517039877433205e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.7 y[1] (analytic) = 0.66967939999210068856619731958885 y[1] (numeric) = 0.66967940195360075106730557818723 absolute error = 1.96150006250110825859838e-09 relative error = 2.9290135884786741971271820665135e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.701 y[1] (analytic) = 0.67003382388951169846948093341175 y[1] (numeric) = 0.67003382585208081635073760272924 absolute error = 1.96256911788125666931749e-09 relative error = 2.9290597696824384620187114467204e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2494.8MB, alloc=4.6MB, time=177.53 x[1] = 1.702 y[1] (analytic) = 0.6703883357396806821907239359908 y[1] (numeric) = 0.67038833770331905980589117663288 absolute error = 1.96363837761516724064208e-09 relative error = 2.9291058225954427556915370565915e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.703 y[1] (analytic) = 0.6707429355368812830543697420424 y[1] (numeric) = 0.67074293750158912469449505800301 absolute error = 1.96470784164012531596061e-09 relative error = 2.9291517473344964380291482269379e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.704 y[1] (analytic) = 0.67109762327538634325564017972205 y[1] (numeric) = 0.67109762524116385314904863626119 absolute error = 1.96577750989340845653914e-09 relative error = 2.9291975440162562700942558198187e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.705 y[1] (analytic) = 0.67145239894946790431920773934405 y[1] (numeric) = 0.67145240091631528663149418935082 absolute error = 1.96684738231228645000677e-09 relative error = 2.9292432127572266642629561869495e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2498.7MB, alloc=4.6MB, time=177.69 x[1] = 1.706 y[1] (analytic) = 0.671807262553397207557832829011 y[1] (numeric) = 0.67180726452131466639185414785412 absolute error = 1.96791745883402131884312e-09 relative error = 2.9292887536737599338863604468551e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.707 y[1] (analytic) = 0.67216221408144469453096596789925 y[1] (numeric) = 0.6721622160504324339268332967652 absolute error = 1.96898773939586732886595e-09 relative error = 2.9293341668820565424778835002890e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.708 y[1] (analytic) = 0.67251725352788000750331484797775 y[1] (numeric) = 0.67251725549793823143838584569949 absolute error = 1.97005822393507099772174e-09 relative error = 2.9293794524981653524314150680504e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.709 y[1] (analytic) = 0.6728723808869719899033761949806 y[1] (numeric) = 0.67287238285810090229224729835653 absolute error = 1.97112891238887110337593e-09 relative error = 2.9294246106379838732664794871477e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2502.5MB, alloc=4.6MB, time=177.84 x[1] = 1.71 y[1] (analytic) = 0.6732275961529886867819323594825 y[1] (numeric) = 0.67322759812518849147643105208902 absolute error = 1.97219980469449869260652e-09 relative error = 2.9294696414172585094069069239072e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.711 y[1] (analytic) = 0.67358289932019734527051256897055 y[1] (numeric) = 0.67358290129346824605968965846766 absolute error = 1.97327090078917708949711e-09 relative error = 2.9295145449515848074882003287148e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.712 y[1] (analytic) = 0.673938290382864415039818771835 y[1] (numeric) = 0.67393829235720661564994067576761 absolute error = 1.97434220061012190393261e-09 relative error = 2.9295593213564077031994138573413e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.713 y[1] (analytic) = 0.67429376933525554875811600424285 y[1] (numeric) = 0.6742937713106692528526570443386 absolute error = 1.97541370409454104009575e-09 relative error = 2.9296039707470217676577723078429e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.714 y[1] (analytic) = 0.674649336171635602549587210892 y[1] (numeric) = 0.67464933814812101372922191585728 absolute error = 1.97648541117963470496528e-09 relative error = 2.9296484932385714533183613993756e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2506.3MB, alloc=4.6MB, time=177.99 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.715 y[1] (analytic) = 0.67500499088626863645265245068155 y[1] (numeric) = 0.67500499286382595825524786749669 absolute error = 1.97755732180259541681514e-09 relative error = 2.9296928889460513394188255347587e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.716 y[1] (analytic) = 0.67536073347341791487825241836855 y[1] (numeric) = 0.67536073545204735077886043208409 absolute error = 1.97862943590060801371554e-09 relative error = 2.9297371579843063769614696951860e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.717 y[1] (analytic) = 0.67571656392734590706809621332005 y[1] (numeric) = 0.6757165659070476604789458753548 absolute error = 1.97970175341084966203475e-09 relative error = 2.9297813004680321332319868034448e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.718 y[1] (analytic) = 0.67607248224231428755287328650355 y[1] (numeric) = 0.67607248422308856182336315144613 absolute error = 1.98077427427048986494258e-09 relative error = 2.9298253165117750358572614607034e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2510.1MB, alloc=4.6MB, time=178.15 x[1] = 1.719 y[1] (analytic) = 0.6764284884125839366104294968962 y[1] (numeric) = 0.67642849039443093502711996781189 absolute error = 1.98184699841669047091569e-09 relative error = 2.9298692062299326164034506107006e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.72 y[1] (analytic) = 0.676784582432414940723907208531 y[1] (numeric) = 0.67678458441533486651051289077429 absolute error = 1.98291992578660568224329e-09 relative error = 2.9299129697367537535132038376118e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.721 y[1] (analytic) = 0.6771407642960665930398493594319 y[1] (numeric) = 0.67714076628005964935723142296663 absolute error = 1.98399305631738206353473e-09 relative error = 2.9299566071463389155852343440976e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.722 y[1] (analytic) = 0.6774970339977973938262674337278 y[1] (numeric) = 0.67749703598286378377242598395649 absolute error = 1.98506638994615855022869e-09 relative error = 2.9300001185726404029967978412802e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2513.9MB, alloc=4.6MB, time=178.30 x[1] = 1.723 y[1] (analytic) = 0.67785339153186505093067326827235 y[1] (numeric) = 0.67785339351800497754073972537557 absolute error = 1.98613992661006645710322e-09 relative error = 2.9300435041294625898689573849132e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.724 y[1] (analytic) = 0.67820983689252648023807462513205 y[1] (numeric) = 0.67820983887974014648430411191892 absolute error = 1.98721366624622948678687e-09 relative error = 2.9300867639304621653759741857189e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.725 y[1] (analytic) = 0.67856637007403780612893446134 y[1] (numeric) = 0.67856637206232541492069819961259 absolute error = 1.98828760879176373827259e-09 relative error = 2.9301298980891483746022826652456e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.726 y[1] (analytic) = 0.6789229910706543619370938273543 y[1] (numeric) = 0.6789229930600161161208715427853 absolute error = 1.98936175418377771543100e-09 relative error = 2.9301729067188832589430128059085e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2517.7MB, alloc=4.6MB, time=178.46 x[1] = 1.727 y[1] (analytic) = 0.6792796998766306904076583256899 y[1] (numeric) = 0.67927970186706679276703066121621 absolute error = 1.99043610235937233552631e-09 relative error = 2.9302157899328818960538754845662e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.728 y[1] (analytic) = 0.6796364964862205441548480612339 y[1] (numeric) = 0.6796364984777311974104889989673 absolute error = 1.99151065325564093773340e-09 relative error = 2.9302585478442126393491853448026e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.729 y[1] (analytic) = 0.6799933808936768861198110147897 y[1] (numeric) = 0.6799933828862622929294803064454 absolute error = 1.99258540680966929165570e-09 relative error = 2.9303011805657973570484644155842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.73 y[1] (analytic) = 0.68035035309325189002839977143065 y[1] (numeric) = 0.68035035508691225298693537727546 absolute error = 1.99366036295853560584481e-09 relative error = 2.9303436882104116707739803334295e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2521.5MB, alloc=4.6MB, time=178.61 x[1] = 1.731 y[1] (analytic) = 0.68070741307919694084891153528155 y[1] (numeric) = 0.68070741507393246248822207160308 absolute error = 1.99473552163931053632153e-09 relative error = 2.9303860708906851936996991683242e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.732 y[1] (analytic) = 0.68106456084576263524979136238305 y[1] (numeric) = 0.68106456284157351803884855748086 absolute error = 1.99581088278905719509781e-09 relative error = 2.9304283287191017682518976307525e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.733 y[1] (analytic) = 0.6814217963871987820572985433294 y[1] (numeric) = 0.68142179838408522840212970202973 absolute error = 1.99688644634483115870033e-09 relative error = 2.9304704618079997033634411486742e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.734 y[1] (analytic) = 0.68177911969775440271313606740765 y[1] (numeric) = 0.68177912169571661495681654410285 absolute error = 1.99796221224368047669520e-09 relative error = 2.9305124702695720112819381667436e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2525.4MB, alloc=4.6MB, time=178.76 x[1] = 1.735 y[1] (analytic) = 0.68213653077167773173204310000235 y[1] (numeric) = 0.68213653277071591215468878021637 absolute error = 1.99903818042264568021402e-09 relative error = 2.9305543542158666439330813287856e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.736 y[1] (analytic) = 0.68249402960321621715935040506625 y[1] (numeric) = 0.68249403160333056797811019554766 absolute error = 2.00011435081875979048141e-09 relative error = 2.9305961137587867288402919362480e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.737 y[1] (analytic) = 0.682851616186616521028498644495 y[1] (numeric) = 0.68285161818780724439754697183843 absolute error = 2.00119072336904832734343e-09 relative error = 2.9306377490100908046007706259842e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.738 y[1] (analytic) = 0.6832092905161245198185194862786 y[1] (numeric) = 0.6832092925183918178290488040766 absolute error = 2.00226729801052931779800e-09 relative error = 2.9306792600813930559205320901797e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2529.2MB, alloc=4.6MB, time=178.92 x[1] = 1.739 y[1] (analytic) = 0.6835670525859853049114794533417 y[1] (numeric) = 0.68356705458932937959169275786738 absolute error = 2.00334407468021330452568e-09 relative error = 2.9307206470841635482069695429333e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.74 y[1] (analytic) = 0.6839249023904431830498864450181 y[1] (numeric) = 0.68392490439486423636498979944059 absolute error = 2.00442105331510335442249e-09 relative error = 2.9307619101297284617223567385014e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.741 y[1] (analytic) = 0.6842828399237416767940588631443 y[1] (numeric) = 0.6842828419292399106462539302779 absolute error = 2.00549823385219506713360e-09 relative error = 2.9308030493292703252975178242083e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.742 y[1] (analytic) = 0.68464086518012352497945727479155 y[1] (numeric) = 0.68464086718669914120793385838024 absolute error = 2.00657561622847658358869e-09 relative error = 2.9308440647938282496077776217579e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2533.0MB, alloc=4.6MB, time=179.08 x[1] = 1.743 y[1] (analytic) = 0.6849989781538306831739785436941 y[1] (numeric) = 0.68499898016148388355490713823225 absolute error = 2.00765320038092859453815e-09 relative error = 2.9308849566342981600109182007126e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.744 y[1] (analytic) = 0.6853571788391043241352123624665 y[1] (numeric) = 0.68535718084783531038173671155726 absolute error = 2.00873098624652434909076e-09 relative error = 2.9309257249614330289490152836578e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.745 y[1] (analytic) = 0.6857154672301848382676601177402 y[1] (numeric) = 0.68571546923999381202988978099291 absolute error = 2.00980897376222966325271e-09 relative error = 2.9309663698858431079148843554596e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.746 y[1] (analytic) = 0.6860738433213118340799160203862 y[1] (numeric) = 0.68607384533219899694491894885417 absolute error = 2.01088716286500292846797e-09 relative error = 2.9310068915179961589840835888816e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.747 y[1] (analytic) = 0.6864323071067241386418104330276 y[1] (numeric) = 0.68643230911868969213360555318717 absolute error = 2.01196555349179512015957e-09 relative error = 2.9310472899682176859127628293226e-07 % Correct digits = 8 h = 0.001 NO POLE memory used=2536.8MB, alloc=4.6MB, time=179.24 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.748 y[1] (analytic) = 0.6867908585806597980415153270819 y[1] (numeric) = 0.68679086059370394362106513335392 absolute error = 2.01304414557954980627202e-09 relative error = 2.9310875653466911648026238714090e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.749 y[1] (analytic) = 0.6871494977373560778426118016083 y[1] (numeric) = 0.6871494997514790169078149574246 absolute error = 2.01412293906520315581630e-09 relative error = 2.9311277177634582743359999663563e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.75 y[1] (analytic) = 0.6875082245710494635411195962768 y[1] (numeric) = 0.68750822658625139742680354369081 absolute error = 2.01520193388568394741401e-09 relative error = 2.9311677473284191255770116658945e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.751 y[1] (analytic) = 0.6878670390759756610224885308051 y[1] (numeric) = 0.68786704109225679100040210864993 absolute error = 2.01628112997791357784483e-09 relative error = 2.9312076541513324913457651025967e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2540.6MB, alloc=4.6MB, time=179.39 x[1] = 1.752 y[1] (analytic) = 0.6882259412463695970185518032537 y[1] (numeric) = 0.68822594326373012429735787384723 absolute error = 2.01736052727880607059353e-09 relative error = 2.9312474383418160351610380658482e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.753 y[1] (analytic) = 0.6885849310764654195644410795997 y[1] (numeric) = 0.68858493309490554528970916399925 absolute error = 2.01844012572526808439955e-09 relative error = 2.9312871000093465397567661229800e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.754 y[1] (analytic) = 0.68894400856049649845546330705155 y[1] (numeric) = 0.68894401058001642370966222885862 absolute error = 2.01951992525419892180707e-09 relative error = 2.9313266392632601351702178807642e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.755 y[1] (analytic) = 0.6893031736926954257039391836007 y[1] (numeric) = 0.6893031757132953515064297213171 absolute error = 2.02059992580249053771640e-09 relative error = 2.9313660562127525264039805455205e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2544.4MB, alloc=4.6MB, time=179.55 x[1] = 1.756 y[1] (analytic) = 0.6896624264672940159960032163437 y[1] (numeric) = 0.68966242848897414330303076428054 absolute error = 2.02168012730702754793684e-09 relative error = 2.9314053509668792206628837265179e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.757 y[1] (analytic) = 0.6900217668785233071483653011451 y[1] (numeric) = 0.69002176890128383685305253888595 absolute error = 2.02276052970468723774085e-09 relative error = 2.9314445236345557541665370738965e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.758 y[1] (analytic) = 0.69038119492061356056503375624895 y[1] (numeric) = 0.6903811969444546934973733266678 absolute error = 2.02384113293233957041885e-09 relative error = 2.9314835743245579185374029232413e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.759 y[1] (analytic) = 0.6907407105877942616939997424814 y[1] (numeric) = 0.69074071261271619862084693831731 absolute error = 2.02492193692684719583591e-09 relative error = 2.9315225031455219867671356246942e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2548.2MB, alloc=4.6MB, time=179.70 x[1] = 1.76 y[1] (analytic) = 0.69110031387429412048388300272585 y[1] (numeric) = 0.69110031590029706210894846171528 absolute error = 2.02600294162506545898943e-09 relative error = 2.9315613102059449387607840101504e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.761 y[1] (analytic) = 0.6914600047743410718405388533875 y[1] (numeric) = 0.69146000680142521880438126195571 absolute error = 2.02708414696384240856821e-09 relative error = 2.9315999956141846864603367980054e-07 % Correct digits = 8 h = 0.001 NO POLE TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.762 y[1] (analytic) = 0.6918197832821622760836263606023 y[1] (numeric) = 0.69181978531032782896364516611433 absolute error = 2.02816555288001880551203e-09 relative error = 2.9316385594784602985472359726604e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.37 Order of pole = 0.001791 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.763 y[1] (analytic) = 0.6921796493919841194031376339792 y[1] (numeric) = 0.69217965142123127871356576555281 absolute error = 2.02924715931042813157361e-09 relative error = 2.9316770019068522247274592733469e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.37 Order of pole = 0.008878 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2552.1MB, alloc=4.6MB, time=179.86 x[1] = 1.764 y[1] (analytic) = 0.69253960309803221431588817070585 y[1] (numeric) = 0.69253960512836118050778476858631 absolute error = 2.03032896619189659788046e-09 relative error = 2.9317153230073025195964638652168e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.38 Order of pole = 0.01601 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.765 y[1] (analytic) = 0.69289964439453140012196818287935 y[1] (numeric) = 0.69289964642594237358321133637878 absolute error = 2.03141097346124315349943e-09 relative error = 2.9317535228876150660889451048384e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.38 Order of pole = 0.02319 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.766 y[1] (analytic) = 0.69325977327570574336115484096605 y[1] (numeric) = 0.69325977530819892441643433496712 absolute error = 2.03249318105527949400107e-09 relative error = 2.9317916016554557985101232744203e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.39 Order of pole = 0.03041 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.767 y[1] (analytic) = 0.69361998973577853826928536632645 y[1] (numeric) = 0.69361999176935412718009543635233 absolute error = 2.03357558891081007002588e-09 relative error = 2.9318295594183529251524516797751e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.39 Order of pole = 0.03767 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. memory used=2555.9MB, alloc=4.6MB, time=180.01 x[1] = 1.768 y[1] (analytic) = 0.6939802937689723072345909057803 y[1] (numeric) = 0.69398029580363050419922300163236 absolute error = 2.03465819696463209585206e-09 relative error = 2.9318673962836971504980657247140e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.39 Order of pole = 0.04499 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.769 y[1] (analytic) = 0.69434068536950880125399112122485 y[1] (numeric) = 0.69434068740524980640752667918837 absolute error = 2.03574100515353555796352e-09 relative error = 2.9319051123587418970060686173905e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.4 Order of pole = 0.05235 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.77 y[1] (analytic) = 0.69470116453160900038934942735275 y[1] (numeric) = 0.6947011665684330138036526509728 absolute error = 2.03682401341430322362005e-09 relative error = 2.9319427077506035264882745980160e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.4 Order of pole = 0.05975 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. x[1] = 1.771 y[1] (analytic) = 0.6950617312494931142236888105565 y[1] (numeric) = 0.6950617332874003359073994599846 absolute error = 2.03790722168371064942810e-09 relative error = 2.9319801825662615610720535154541e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used Radius of convergence = 11.4 Order of pole = 0.0672 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ; Iterations = 2772 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 2 Minutes 59 Seconds Expected Time Remaining = 3 Minutes 29 Seconds Optimized Time Remaining = 3 Minutes 29 Seconds Expected Total Time = 6 Minutes 29 Seconds Time to Timeout Unknown Percent Done = 46.22 % > quit memory used=2559.0MB, alloc=4.6MB, time=180.13