|\^/| 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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 * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * 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)*rm0-convfloat(m-1)*rm1; > if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > 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_sing := 0; > #TOP WHICH RADII EQ = 1 > if (1 <> found_sing 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_sing := 1; > 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 for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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] > -1.0 * glob_smallish_float) 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_sing := 1; > 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 for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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_sing := 1; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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] > -1.0 * glob_smallish_float))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > 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 for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing 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_sing := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing ) 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 for equation 1"); > 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, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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*glob_small_float or omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 2]) < glob_small_float*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)*rm0 - convfloat(m - 1)*rm1; if glob_small_float*glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; 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_sing := 0; if 1 <> found_sing 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_sing := 1; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing 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 -1.0*glob_smallish_float < 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_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing 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_sing := 1; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < 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_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing 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_sing := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing 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 for equation 1") 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_3D0[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_1D0[1]; > #emit pre tanh $eq_no = 1 > array_tmp3_a1[1] := sinh(array_tmp2[1]); > array_tmp3_a2[1] := cosh(array_tmp2[1]); > array_tmp3[1] := (array_tmp3_a1[1] / array_tmp3_a2[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_3D0[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre tanh $eq_no = 1 > array_tmp3_a1[2] := array_tmp3_a2[1] * array_tmp2[2] / 1; > array_tmp3_a2[2] := array_tmp3_a1[1] * array_tmp2[2] / 1; > array_tmp3[2] := (array_tmp3_a1[2] - ats(2,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1]; > #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 tanh $eq_no = 1 > array_tmp3_a1[3] := array_tmp3_a2[2] * array_tmp2[2] / 2; > array_tmp3_a2[3] := array_tmp3_a1[2] * array_tmp2[2] / 2; > array_tmp3[3] := (array_tmp3_a1[3] - ats(3,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[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 tanh $eq_no = 1 > array_tmp3_a1[4] := array_tmp3_a2[3] * array_tmp2[2] / 3; > array_tmp3_a2[4] := array_tmp3_a1[3] * array_tmp2[2] / 3; > array_tmp3[4] := (array_tmp3_a1[4] - ats(4,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[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 tanh $eq_no = 1 > array_tmp3_a1[5] := array_tmp3_a2[4] * array_tmp2[2] / 4; > array_tmp3_a2[5] := array_tmp3_a1[4] * array_tmp2[2] / 4; > array_tmp3[5] := (array_tmp3_a1[5] - ats(5,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[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 > array_tmp3_a1[kkk] := array_tmp3_a2[kkk-1] * array_tmp2[2] / (kkk - 1); > array_tmp3_a2[kkk] := array_tmp3_a1[kkk-1] * array_tmp2[2] / (kkk - 1); > array_tmp3[kkk] := (array_tmp3_a1[kkk] - ats(kkk ,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_3D0[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_1D0[1]; array_tmp3_a1[1] := sinh(array_tmp2[1]); array_tmp3_a2[1] := cosh(array_tmp2[1]); array_tmp3[1] := array_tmp3_a1[1]/array_tmp3_a2[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_3D0[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3_a1[2] := array_tmp3_a2[1]*array_tmp2[2]; array_tmp3_a2[2] := array_tmp3_a1[1]*array_tmp2[2]; array_tmp3[2] := ( array_tmp3_a1[2] - ats(2, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[1]; 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_a1[3] := 1/2*array_tmp3_a2[2]*array_tmp2[2]; array_tmp3_a2[3] := 1/2*array_tmp3_a1[2]*array_tmp2[2]; array_tmp3[3] := ( array_tmp3_a1[3] - ats(3, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[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_a1[4] := 1/3*array_tmp3_a2[3]*array_tmp2[2]; array_tmp3_a2[4] := 1/3*array_tmp3_a1[3]*array_tmp2[2]; array_tmp3[4] := ( array_tmp3_a1[4] - ats(4, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[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_a1[5] := 1/4*array_tmp3_a2[4]*array_tmp2[2]; array_tmp3_a2[5] := 1/4*array_tmp3_a1[4]*array_tmp2[2]; array_tmp3[5] := ( array_tmp3_a1[5] - ats(5, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[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_a1[kkk] := array_tmp3_a2[kkk - 1]*array_tmp2[2]/(kkk - 1); array_tmp3_a2[kkk] := array_tmp3_a1[kkk - 1]*array_tmp2[2]/(kkk - 1); array_tmp3[kkk] := ( array_tmp3_a1[kkk] - ats(kkk, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[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_debug := proc(typ,radius,order2) > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if (typ = 1) then # if number 6 > omniout_str(ALWAYS,"Real"); > else > omniout_str(ALWAYS,"Complex"); > fi;# end if 6; > omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," "); > omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," "); > end; display_pole_debug := proc(typ, radius, order2) global ALWAYS, glob_display_flag, glob_large_float, array_pole; if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex") end if; omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "); omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ") end proc > # End Function number 15 > # Begin Function number 16 > 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 16 > # Begin Function number 17 > 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 17 > # Begin Function number 18 > 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 18 > # Begin Function number 19 > 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 19 > # Begin Function number 20 > 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 20 > # Begin Function number 21 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 21 > # Begin Function number 22 > 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 22 > # Begin Function number 23 > 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 23 > # Begin Function number 24 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 24 > # Begin Function number 25 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 25 > # Begin Function number 26 > 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 26 > # Begin Function number 27 > 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 27 > # Begin Function number 28 > 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 28 > # Begin Function number 29 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 29 > # Begin Function number 30 > 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 30 > # Begin Function number 31 > 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 31 > # Begin Function number 32 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 33 > # Begin Function number 34 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 34 > # Begin Function number 35 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 35 > # Begin Function number 36 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 36 > # Begin Function number 37 > 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 37 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(ln(cosh(3.0*x + 1.0))/3.0); > end; exact_soln_y := proc(x) return ln(cosh(3.0*x + 1.0))/3.0 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, 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_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_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > 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_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_3D0, > array_const_1D0, > #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_g, > 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_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_max_h := 0.1; > 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_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-200; > 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_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_tanhpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;"); > 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 := 1.1;"); > omniout_str(ALWAYS,"x_end := 2.0 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 10;"); > 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(ln(cosh(3.0*x + 1.0))/3.0);"); > 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; > #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_g:= 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_g[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_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_g[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_3D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_3D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_3D0[1] := 3.0; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1D0[1] := 1.0; > 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 := 1.1; > x_end := 2.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 10; > #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); > 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; > if (glob_max_h < glob_h) then # if number 2 > glob_h := glob_max_h; > 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_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 ) = tanh (3.0 * x + 1.0 ) ;"); > 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,"2013-01-28T15:58:55-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"lin_tanh") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;") > ; > 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," 165 ") > ; > logitem_str(html_log_file,"lin_tanh diffeq.mxt") > ; > logitem_str(html_log_file,"lin_tanh maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > 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, 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_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_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, 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_max_minutes, array_const_1, array_const_0D0, array_const_3D0, array_const_1D0, 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_g, 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_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_max_h := 0.1; 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_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^(-200); 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_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_tanhpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;"); 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 := 1.1;"); omniout_str(ALWAYS, "x_end := 2.0 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 10;"); 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(ln(cosh(3.0*x + 1.0))/3.0);"); 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; 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_g := 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_g[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_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_g[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_3D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3D0[term] := 0.; term := term + 1 end do; array_const_3D0[1] := 3.0; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; 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 := 1.1; x_end := 2.0; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 10; 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); 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; if glob_max_h < glob_h then glob_h := glob_max_h 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_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 ) = tanh (3.0 * x + 1.0 ) ;"); 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, "2013-01-28T15:58:55-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "lin_tanh"); logitem_str(html_log_file, "diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;"); 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, " 165 "); logitem_str(html_log_file, "lin_tanh diffeq.mxt"); logitem_str(html_log_file, "lin_tanh maple results"); logitem_str(html_log_file, "All Tests - All Languages"); 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_tanhpostode.ode################# diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 1.1; x_end := 2.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 10; #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(ln(cosh(3.0*x + 1.0))/3.0); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 0.9 estimated_steps = 900 step_error = 1.1111111111111111111111111111111e-13 est_needed_step_err = 1.1111111111111111111111111111111e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 4.1135837558980042819253930276067e-85 max_value3 = 4.1135837558980042819253930276067e-85 value3 = 4.1135837558980042819253930276067e-85 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = 1.202345636096110145564045330841 y[1] (numeric) = 1.202345636096110145564045330841 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.527 Order of pole = 0.03164 TOP MAIN SOLVE Loop x[1] = 1.101 y[1] (analytic) = 1.2033452690543240155244986888394 y[1] (numeric) = 1.2033452690543240155244986888395 absolute error = 1e-31 relative error = 8.3101668799169545456568513171712e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.528 Order of pole = 0.03319 TOP MAIN SOLVE Loop x[1] = 1.102 y[1] (analytic) = 1.204344904207794503674368272561 y[1] (numeric) = 1.2043449042077945036743682725611 absolute error = 1e-31 relative error = 8.3032692421095894710251456744853e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.53 Order of pole = 0.03478 TOP MAIN SOLVE Loop x[1] = 1.103 y[1] (analytic) = 1.2053445415433942829043410082996 y[1] (numeric) = 1.2053445415433942829043410082997 absolute error = 1e-31 relative error = 8.2963830301960050878157153418185e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.531 Order of pole = 0.03642 TOP MAIN SOLVE Loop x[1] = 1.104 y[1] (analytic) = 1.2063441810480744972830659549344 y[1] (numeric) = 1.2063441810480744972830659549345 absolute error = 1e-31 relative error = 8.2895082158990296151615532925532e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.532 Order of pole = 0.0381 TOP MAIN SOLVE Loop x[1] = 1.105 y[1] (analytic) = 1.2073438227088642933189624953961 y[1] (numeric) = 1.2073438227088642933189624953963 absolute error = 2e-31 relative error = 1.6565289542068371750973935750828e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.533 Order of pole = 0.03984 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.8MB, time=0.32 x[1] = 1.106 y[1] (analytic) = 1.2083434665128703540179402780421 y[1] (numeric) = 1.2083434665128703540179402780423 absolute error = 2e-31 relative error = 1.6551585335018630017295799722135e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.534 Order of pole = 0.04162 TOP MAIN SOLVE Loop x[1] = 1.107 y[1] (analytic) = 1.209343112447276435720402158612 y[1] (numeric) = 1.2093431124472764357204021586122 absolute error = 2e-31 relative error = 1.6537903754648403995981750478165e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.535 Order of pole = 0.04345 TOP MAIN SOLVE Loop x[1] = 1.108 y[1] (analytic) = 1.2103427604993429077009997177532 y[1] (numeric) = 1.2103427604993429077009997177534 absolute error = 2e-31 relative error = 1.6524244745140405996561358076855e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.536 Order of pole = 0.04533 TOP MAIN SOLVE Loop x[1] = 1.109 y[1] (analytic) = 1.2113424106564062945147086789215 y[1] (numeric) = 1.2113424106564062945147086789217 absolute error = 2e-31 relative error = 1.6510608250859748911019450348937e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.537 Order of pole = 0.04726 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = 1.2123420629058788210728887300618 y[1] (numeric) = 1.212342062905878821072888730062 absolute error = 2e-31 relative error = 1.6496994216353208017329099353997e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.538 Order of pole = 0.04924 TOP MAIN SOLVE Loop x[1] = 1.111 y[1] (analytic) = 1.2133417172352479604330888631022 y[1] (numeric) = 1.2133417172352479604330888631025 absolute error = 3e-31 relative error = 2.4725103879522729490760618910131e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.539 Order of pole = 0.05127 TOP MAIN SOLVE Loop x[1] = 1.112 y[1] (analytic) = 1.2143413736320759842864553911998 y[1] (numeric) = 1.2143413736320759842864553912001 absolute error = 3e-31 relative error = 2.4704749958630225187384793409859e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.54 Order of pole = 0.05335 TOP MAIN SOLVE Loop x[1] = 1.113 y[1] (analytic) = 1.2153410320839995161266952880715 y[1] (numeric) = 1.2153410320839995161266952880717 absolute error = 2e-31 relative error = 1.6456286319655568011717205861980e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.541 Order of pole = 0.05548 TOP MAIN SOLVE Loop x[1] = 1.114 y[1] (analytic) = 1.2163406925787290870846424198396 y[1] (numeric) = 1.2163406925787290870846424198398 absolute error = 2e-31 relative error = 1.6442761573320853435298523914645e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.542 Order of pole = 0.05767 TOP MAIN SOLVE Loop x[1] = 1.115 y[1] (analytic) = 1.2173403551040486944125686108005 y[1] (numeric) = 1.2173403551040486944125686108006 absolute error = 1e-31 relative error = 8.2146295060967386765122651499370e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.544 Order of pole = 0.05991 TOP MAIN SOLVE Loop x[1] = 1.116 y[1] (analytic) = 1.2183400196478153626024753035543 y[1] (numeric) = 1.2183400196478153626024753035544 absolute error = 1e-31 relative error = 8.2078892909474421711365526726800e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.545 Order of pole = 0.06221 TOP MAIN SOLVE Loop x[1] = 1.117 y[1] (analytic) = 1.2193396861979587071226948441759 y[1] (numeric) = 1.219339686197958707122694844176 absolute error = 1e-31 relative error = 8.2011601141115560696219837828169e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.546 Order of pole = 0.06455 TOP MAIN SOLVE Loop x[1] = 1.118 y[1] (analytic) = 1.2203393547424805007572231476805 y[1] (numeric) = 1.2203393547424805007572231476806 absolute error = 1e-31 relative error = 8.1944419485760406269707712314591e-30 % Correct digits = 31 h = 0.001 memory used=7.6MB, alloc=3.9MB, time=0.69 Complex estimate of poles used for equation 1 Radius of convergence = 1.547 Order of pole = 0.06695 TOP MAIN SOLVE Loop x[1] = 1.119 y[1] (analytic) = 1.2213390252694542425322976810779 y[1] (numeric) = 1.221339025269454242532297681078 absolute error = 1e-31 relative error = 8.1877347674154439879547065247965e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.548 Order of pole = 0.06941 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = 1.2223386977670247292148263439033 y[1] (numeric) = 1.2223386977670247292148263439034 absolute error = 1e-31 relative error = 8.1810385437915503760347929495660e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.549 Order of pole = 0.07192 TOP MAIN SOLVE Loop x[1] = 1.121 y[1] (analytic) = 1.2233383722234076293673639323542 y[1] (numeric) = 1.2233383722234076293673639323543 absolute error = 1e-31 relative error = 8.1743532509530299590677590809326e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.55 Order of pole = 0.07449 TOP MAIN SOLVE Loop x[1] = 1.122 y[1] (analytic) = 1.2243380486268890599444234461133 y[1] (numeric) = 1.2243380486268890599444234461134 absolute error = 1e-31 relative error = 8.1676788622350903825913822580629e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.551 Order of pole = 0.07712 TOP MAIN SOLVE Loop x[1] = 1.123 y[1] (analytic) = 1.2253377269658251654149995396528 y[1] (numeric) = 1.2253377269658251654149995396529 absolute error = 1e-31 relative error = 8.1610153510591299615376122569106e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.553 Order of pole = 0.0798 TOP MAIN SOLVE Loop x[1] = 1.124 y[1] (analytic) = 1.2263374072286416993962709353238 y[1] (numeric) = 1.2263374072286416993962709353239 absolute error = 1e-31 relative error = 8.1543626909323925212791531109958e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.554 Order of pole = 0.08254 TOP MAIN SOLVE Loop x[1] = 1.125 y[1] (analytic) = 1.2273370894038336087835376068616 y[1] (numeric) = 1.2273370894038336087835376068618 absolute error = 2e-31 relative error = 1.6295441710895247757942877408595e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.555 Order of pole = 0.08534 TOP MAIN SOLVE Loop x[1] = 1.126 y[1] (analytic) = 1.2283367734799646203615370120758 y[1] (numeric) = 1.2283367734799646203615370120759 absolute error = 1e-31 relative error = 8.1410898182827299562078283363934e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.556 Order of pole = 0.08819 TOP MAIN SOLVE Loop x[1] = 1.127 y[1] (analytic) = 1.2293364594456668298823716054344 y[1] (numeric) = 1.2293364594456668298823716054346 absolute error = 2e-31 relative error = 1.6268939106400873028122709729782e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.557 Order of pole = 0.09111 TOP MAIN SOLVE Loop x[1] = 1.128 y[1] (analytic) = 1.2303361472896402935953672979647 y[1] (numeric) = 1.2303361472896402935953672979648 absolute error = 1e-31 relative error = 8.1278600340479505016414831661031e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.558 Order of pole = 0.09408 TOP MAIN SOLVE Loop x[1] = 1.129 y[1] (analytic) = 1.2313358370006526222142694563177 y[1] (numeric) = 1.2313358370006526222142694563178 absolute error = 1e-31 relative error = 8.1212612347566230093490834002203e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.559 Order of pole = 0.09711 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = 1.2323355285675385773072694479407 y[1] (numeric) = 1.2323355285675385773072694479408 absolute error = 1e-31 relative error = 8.1146731293416138180671947763066e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.561 Order of pole = 0.1002 TOP MAIN SOLVE Loop x[1] = 1.131 y[1] (analytic) = 1.2333352219791996700954406479617 y[1] (numeric) = 1.2333352219791996700954406479618 absolute error = 1e-31 relative error = 8.1080956919015575355791540166389e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.562 Order of pole = 0.1034 memory used=11.4MB, alloc=4.1MB, time=1.07 TOP MAIN SOLVE Loop x[1] = 1.132 y[1] (analytic) = 1.2343349172246037626452482285456 y[1] (numeric) = 1.2343349172246037626452482285457 absolute error = 1e-31 relative error = 8.1015288966182313115592913269128e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.563 Order of pole = 0.1066 TOP MAIN SOLVE Loop x[1] = 1.133 y[1] (analytic) = 1.2353346142927846714408819559981 y[1] (numeric) = 1.2353346142927846714408819559983 absolute error = 2e-31 relative error = 1.6189945435512448245069316347232e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.564 Order of pole = 0.1098 TOP MAIN SOLVE Loop x[1] = 1.134 y[1] (analytic) = 1.2363343131728417733222456276613 y[1] (numeric) = 1.2363343131728417733222456276615 absolute error = 2e-31 relative error = 1.6176854259325215236538296628615e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.565 Order of pole = 0.1132 TOP MAIN SOLVE Loop x[1] = 1.135 y[1] (analytic) = 1.2373340138539396137745206925062 y[1] (numeric) = 1.2373340138539396137745206925064 absolute error = 2e-31 relative error = 1.6163784213533217042147818120148e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.566 Order of pole = 0.1166 TOP MAIN SOLVE Loop x[1] = 1.136 y[1] (analytic) = 1.2383337163253075175553050191374 y[1] (numeric) = 1.2383337163253075175553050191376 absolute error = 2e-31 relative error = 1.6150735247158565139200232777783e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.568 Order of pole = 0.12 TOP MAIN SOLVE Loop x[1] = 1.137 y[1] (analytic) = 1.2393334205762392016454107054959 y[1] (numeric) = 1.2393334205762392016454107054961 absolute error = 2e-31 relative error = 1.6137707309386379997444015937497e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.569 Order of pole = 0.1236 TOP MAIN SOLVE Loop x[1] = 1.138 y[1] (analytic) = 1.2403331265960923905094872686995 y[1] (numeric) = 1.2403331265960923905094872686997 absolute error = 2e-31 relative error = 1.6124700349564145094339070125513e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.57 Order of pole = 0.1272 TOP MAIN SOLVE Loop x[1] = 1.139 y[1] (analytic) = 1.2413328343742884336527185139827 y[1] (numeric) = 1.2413328343742884336527185139829 absolute error = 2e-31 relative error = 1.6111714317201063969242220651824e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.571 Order of pole = 0.1308 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = 1.2423325439003119254599228613738 y[1] (numeric) = 1.242332543900311925459922861374 absolute error = 2e-31 relative error = 1.6098749161967420300035392587538e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.572 Order of pole = 0.1345 TOP MAIN SOLVE Loop x[1] = 1.141 y[1] (analytic) = 1.243332255163710327303467910338 y[1] (numeric) = 1.2433322551637103273034679103382 absolute error = 2e-31 relative error = 1.6085804833693940985819803029486e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.574 Order of pole = 0.1383 TOP MAIN SOLVE Loop x[1] = 1.142 y[1] (analytic) = 1.24433196815409359190649054887 y[1] (numeric) = 1.2443319681540935919064905488702 absolute error = 2e-31 relative error = 1.6072881282371162219399660752901e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.575 Order of pole = 0.1421 TOP MAIN SOLVE Loop x[1] = 1.143 y[1] (analytic) = 1.2453316828611337899479939671751 y[1] (numeric) = 1.2453316828611337899479939671754 absolute error = 3e-31 relative error = 2.4089967687223197800067513863187e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.576 Order of pole = 0.1461 TOP MAIN SOLVE Loop x[1] = 1.144 y[1] (analytic) = 1.2463313992745647388964725198481 y[1] (numeric) = 1.2463313992745647388964725198484 absolute error = 3e-31 relative error = 2.4070644467002672205683225638485e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.577 Order of pole = 0.15 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.1MB, time=1.45 x[1] = 1.145 y[1] (analytic) = 1.2473311173841816340587944970505 y[1] (numeric) = 1.2473311173841816340587944970508 absolute error = 3e-31 relative error = 2.4051352188594451792917325409392e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.579 Order of pole = 0.1541 TOP MAIN SOLVE Loop x[1] = 1.146 y[1] (analytic) = 1.2483308371798406818311515172916 y[1] (numeric) = 1.2483308371798406818311515172918 absolute error = 2e-31 relative error = 1.6021393851955851031963925408740e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.58 Order of pole = 0.1582 TOP MAIN SOLVE Loop x[1] = 1.147 y[1] (analytic) = 1.2493305586514587351389614447 y[1] (numeric) = 1.2493305586514587351389614447003 absolute error = 3e-31 relative error = 2.4012860161190912367263020549881e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.581 Order of pole = 0.1623 TOP MAIN SOLVE Loop x[1] = 1.148 y[1] (analytic) = 1.250330281789012931052689464806 y[1] (numeric) = 1.2503302817890129310526894648063 absolute error = 3e-31 relative error = 2.3993660264770226570087519438645e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.582 Order of pole = 0.1666 TOP MAIN SOLVE Loop x[1] = 1.149 y[1] (analytic) = 1.2513300065825403305666292274665 y[1] (numeric) = 1.2513300065825403305666292274668 absolute error = 3e-31 relative error = 2.3974491015309267728672253067009e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.584 Order of pole = 0.1709 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = 1.2523297330221375605277627863025 y[1] (numeric) = 1.2523297330221375605277627863028 absolute error = 3e-31 relative error = 2.3955352339677849793267263839598e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.585 Order of pole = 0.1753 TOP MAIN SOLVE Loop x[1] = 1.151 y[1] (analytic) = 1.2533294610979604577018944334839 y[1] (numeric) = 1.2533294610979604577018944334842 absolute error = 3e-31 relative error = 2.3936244164977140488628902807920e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.586 Order of pole = 0.1797 TOP MAIN SOLVE Loop x[1] = 1.152 y[1] (analytic) = 1.2543291908002237149643294494976 y[1] (numeric) = 1.254329190800223714964329449498 absolute error = 4e-31 relative error = 3.1889555224718338612143554785092e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.587 Order of pole = 0.1842 TOP MAIN SOLVE Loop x[1] = 1.153 y[1] (analytic) = 1.2553289221192005296024442622584 y[1] (numeric) = 1.2553289221192005296024442622588 absolute error = 4e-31 relative error = 3.1864158703898463519315752053832e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.589 Order of pole = 0.1888 TOP MAIN SOLVE Loop x[1] = 1.154 y[1] (analytic) = 1.2563286550452222537175695411341 y[1] (numeric) = 1.2563286550452222537175695411345 absolute error = 4e-31 relative error = 3.1838802561229631105176432266400e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.59 Order of pole = 0.1934 TOP MAIN SOLVE Loop x[1] = 1.155 y[1] (analytic) = 1.257328389568678046713682341726 y[1] (numeric) = 1.2573283895686780467136823417264 absolute error = 4e-31 relative error = 3.1813486700735243260203020368137e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.591 Order of pole = 0.1981 TOP MAIN SOLVE Loop x[1] = 1.156 y[1] (analytic) = 1.258328125680014529860477569103 y[1] (numeric) = 1.2583281256800145298604775691034 absolute error = 4e-31 relative error = 3.1788211026741180583200385138326e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.592 Order of pole = 0.2029 TOP MAIN SOLVE Loop x[1] = 1.157 y[1] (analytic) = 1.2593278633697354429184627431753 y[1] (numeric) = 1.2593278633697354429184627431757 absolute error = 4e-31 relative error = 3.1762975443874620445724833024938e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.594 Order of pole = 0.2078 TOP MAIN SOLVE Loop x[1] = 1.158 y[1] (analytic) = 1.260327602628401302813793332518 y[1] (numeric) = 1.2603276026284013028137933325184 absolute error = 4e-31 relative error = 3.1737779857062860541400989568534e-29 % Correct digits = 30 h = 0.001 memory used=19.0MB, alloc=4.1MB, time=1.83 Complex estimate of poles used for equation 1 Radius of convergence = 1.595 Order of pole = 0.2127 TOP MAIN SOLVE Loop x[1] = 1.159 y[1] (analytic) = 1.2613273434466290643506387747246 y[1] (numeric) = 1.2613273434466290643506387747251 absolute error = 5e-31 relative error = 3.9640780214415184863479513163561e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.596 Order of pole = 0.2177 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = 1.2623270858150917829489417247668 y[1] (numeric) = 1.2623270858150917829489417247672 absolute error = 4e-31 relative error = 3.1687508292806513272593657881069e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.598 Order of pole = 0.2227 TOP MAIN SOLVE Loop x[1] = 1.161 y[1] (analytic) = 1.2633268297245182793955050703389 y[1] (numeric) = 1.2633268297245182793955050703393 absolute error = 4e-31 relative error = 3.1662432126706611052334077975215e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.599 Order of pole = 0.2279 TOP MAIN SOLVE Loop x[1] = 1.162 y[1] (analytic) = 1.2643265751656928065964128272349 y[1] (numeric) = 1.2643265751656928065964128272353 absolute error = 4e-31 relative error = 3.1637395579348564379465639383611e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.6 Order of pole = 0.2331 TOP MAIN SOLVE Loop x[1] = 1.163 y[1] (analytic) = 1.2653263221294547183188621808794 y[1] (numeric) = 1.2653263221294547183188621808798 absolute error = 4e-31 relative error = 3.1612398557142815724496934600164e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.601 Order of pole = 0.2383 TOP MAIN SOLVE Loop x[1] = 1.164 y[1] (analytic) = 1.2663260706066981399105546746593 y[1] (numeric) = 1.2663260706066981399105546746597 absolute error = 4e-31 relative error = 3.1587440966792982727515231956110e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.603 Order of pole = 0.2437 TOP MAIN SOLVE Loop x[1] = 1.165 y[1] (analytic) = 1.2673258205883716409848648640865 y[1] (numeric) = 1.267325820588371640984864864087 absolute error = 5e-31 relative error = 3.9453153394118399162320362553182e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.604 Order of pole = 0.2491 TOP MAIN SOLVE Loop x[1] = 1.166 y[1] (analytic) = 1.2683255720654779100600746604785 y[1] (numeric) = 1.268325572065477910060074660479 absolute error = 5e-31 relative error = 3.9422054637418227700976906666460e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.605 Order of pole = 0.2545 TOP MAIN SOLVE Loop x[1] = 1.167 y[1] (analytic) = 1.2693253250290734311410310811589 y[1] (numeric) = 1.2693253250290734311410310811594 absolute error = 5e-31 relative error = 3.9391004822861127689000078670492e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.607 Order of pole = 0.2601 TOP MAIN SOLVE Loop x[1] = 1.168 y[1] (analytic) = 1.2703250794702681622316542075428 y[1] (numeric) = 1.2703250794702681622316542075433 absolute error = 5e-31 relative error = 3.9360003835278326683301511088931e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.608 Order of pole = 0.2657 TOP MAIN SOLVE Loop x[1] = 1.169 y[1] (analytic) = 1.2713248353802252157667908302341 y[1] (numeric) = 1.2713248353802252157667908302346 absolute error = 5e-31 relative error = 3.9329051559860468614812210329414e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.609 Order of pole = 0.2714 TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (analytic) = 1.2723245927501605409519775337924 y[1] (numeric) = 1.272324592750160540951977533793 absolute error = 6e-31 relative error = 4.7157777458587467239313608468213e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.611 Order of pole = 0.2772 TOP MAIN SOLVE Loop x[1] = 1.171 y[1] (analytic) = 1.2733243515713426079997448454528 y[1] (numeric) = 1.2733243515713426079997448454534 absolute error = 6e-31 relative error = 4.7120751225685078494041863918200e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.612 Order of pole = 0.283 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.2MB, time=2.23 x[1] = 1.172 y[1] (analytic) = 1.2743241118350920942511615441353 y[1] (numeric) = 1.2743241118350920942511615441358 absolute error = 5e-31 relative error = 3.9236485863865068820697236551823e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.614 Order of pole = 0.2889 TOP MAIN SOLVE Loop x[1] = 1.173 y[1] (analytic) = 1.2753238735327815721713853008762 y[1] (numeric) = 1.2753238735327815721713853008768 absolute error = 6e-31 relative error = 4.7046872755383834305154175415523e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.615 Order of pole = 0.2949 TOP MAIN SOLVE Loop x[1] = 1.174 y[1] (analytic) = 1.2763236366558351992080525016494 y[1] (numeric) = 1.27632363665583519920805250165 absolute error = 6e-31 relative error = 4.7010020246282717910118364660865e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.616 Order of pole = 0.3009 TOP MAIN SOLVE Loop x[1] = 1.175 y[1] (analytic) = 1.2773234011957284095014063907066 y[1] (numeric) = 1.2773234011957284095014063907072 absolute error = 6e-31 relative error = 4.6973225374116515781560529940349e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.618 Order of pole = 0.307 TOP MAIN SOLVE Loop x[1] = 1.176 y[1] (analytic) = 1.2783231671439876074351285693392 y[1] (numeric) = 1.2783231671439876074351285693398 absolute error = 6e-31 relative error = 4.6936488004086784567273613992798e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.619 Order of pole = 0.3132 TOP MAIN SOLVE Loop x[1] = 1.177 y[1] (analytic) = 1.2793229344921898630169043935939 y[1] (numeric) = 1.2793229344921898630169043935944 absolute error = 5e-31 relative error = 3.9083173334844365629153194880281e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.62 Order of pole = 0.3195 TOP MAIN SOLVE Loop x[1] = 1.178 y[1] (analytic) = 1.2803227032319626090778179372284 y[1] (numeric) = 1.2803227032319626090778179372289 absolute error = 5e-31 relative error = 3.9052654361110118034814439964415e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.622 Order of pole = 0.3258 TOP MAIN SOLVE Loop x[1] = 1.179 y[1] (analytic) = 1.2813224733549833402797369252955 y[1] (numeric) = 1.281322473354983340279736925296 absolute error = 5e-31 relative error = 3.9022182970912253049961529928460e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.623 Order of pole = 0.3322 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = 1.2823222448529793139199124014246 y[1] (numeric) = 1.2823222448529793139199124014251 absolute error = 5e-31 relative error = 3.8991759053304573350426674761247e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.625 Order of pole = 0.3387 TOP MAIN SOLVE Loop x[1] = 1.181 y[1] (analytic) = 1.2833220177177272525220818703417 y[1] (numeric) = 1.2833220177177272525220818703423 absolute error = 6e-31 relative error = 4.6753658997220823635702016386573e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.626 Order of pole = 0.3452 TOP MAIN SOLVE Loop x[1] = 1.182 y[1] (analytic) = 1.2843217919410530482034282586282 y[1] (numeric) = 1.2843217919410530482034282586288 absolute error = 6e-31 relative error = 4.6717263832547225282310623362155e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.627 Order of pole = 0.3518 TOP MAIN SOLVE Loop x[1] = 1.183 y[1] (analytic) = 1.2853215675148314688068102633544 y[1] (numeric) = 1.285321567514831468806810263355 absolute error = 6e-31 relative error = 4.6680925238039820967571969438429e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.629 Order of pole = 0.3585 TOP MAIN SOLVE Loop x[1] = 1.184 y[1] (analytic) = 1.2863213444309858657877425122135 y[1] (numeric) = 1.286321344430985865787742512214 absolute error = 5e-31 relative error = 3.8870535901833988716519773214783e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.63 Order of pole = 0.3653 TOP MAIN SOLVE Loop x[1] = 1.185 y[1] (analytic) = 1.2873211226814878838456664422823 y[1] (numeric) = 1.2873211226814878838456664422829 absolute error = 6e-31 relative error = 4.6608417233937786946253374251448e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.632 Order of pole = 0.3721 memory used=26.7MB, alloc=4.2MB, time=2.62 TOP MAIN SOLVE Loop x[1] = 1.186 y[1] (analytic) = 1.2883209022583571722891149197044 y[1] (numeric) = 1.2883209022583571722891149197049 absolute error = 5e-31 relative error = 3.8810206302135354816918993439983e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.633 Order of pole = 0.379 TOP MAIN SOLVE Loop x[1] = 1.187 y[1] (analytic) = 1.2893206831536610981244353715592 y[1] (numeric) = 1.2893206831536610981244353715598 absolute error = 6e-31 relative error = 4.6536133937788700281521492900204e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.634 Order of pole = 0.386 TOP MAIN SOLVE Loop x[1] = 1.188 y[1] (analytic) = 1.290320465359514460857797586087 y[1] (numeric) = 1.2903204653595144608577975860875 absolute error = 5e-31 relative error = 3.8750063524776220459066089080860e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.636 Order of pole = 0.393 TOP MAIN SOLVE Loop x[1] = 1.189 y[1] (analytic) = 1.2913202488680792090002733603793 y[1] (numeric) = 1.2913202488680792090002733603799 absolute error = 6e-31 relative error = 4.6464074308904899264768527003720e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.637 Order of pole = 0.4001 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = 1.2923200336715641582658358377446 y[1] (numeric) = 1.2923200336715641582658358377452 absolute error = 6e-31 relative error = 4.6428128046220988411143168065137e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.639 Order of pole = 0.4073 TOP MAIN SOLVE Loop x[1] = 1.191 y[1] (analytic) = 1.293319819762224711452186682285 y[1] (numeric) = 1.2933198197622247114521866822856 absolute error = 6e-31 relative error = 4.6392237312988002931459253424433e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.64 Order of pole = 0.4145 TOP MAIN SOLVE Loop x[1] = 1.192 y[1] (analytic) = 1.2943196071323625799943791878735 y[1] (numeric) = 1.294319607132362579994379187874 absolute error = 5e-31 relative error = 3.8630334984090826026912387774773e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.642 Order of pole = 0.4219 TOP MAIN SOLVE Loop x[1] = 1.193 y[1] (analytic) = 1.2953193957743255071812650147533 y[1] (numeric) = 1.2953193957743255071812650147538 absolute error = 5e-31 relative error = 3.8600518268400230442285090597639e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.643 Order of pole = 0.4293 TOP MAIN SOLVE Loop x[1] = 1.194 y[1] (analytic) = 1.2963191856805069930248514914566 y[1] (numeric) = 1.2963191856805069930248514914571 absolute error = 5e-31 relative error = 3.8570747507491634164895956900949e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.645 Order of pole = 0.4367 TOP MAIN SOLVE Loop x[1] = 1.195 y[1] (analytic) = 1.2973189768433460207727153146991 y[1] (numeric) = 1.2973189768433460207727153146996 absolute error = 5e-31 relative error = 3.8541022595430363887340914085886e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.646 Order of pole = 0.4442 TOP MAIN SOLVE Loop x[1] = 1.196 y[1] (analytic) = 1.2983187692553267850536770273842 y[1] (numeric) = 1.2983187692553267850536770273846 absolute error = 4e-31 relative error = 3.0809074741284602037382512986856e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.648 Order of pole = 0.4518 TOP MAIN SOLVE Loop x[1] = 1.197 y[1] (analytic) = 1.2993185629089784216469988568654 y[1] (numeric) = 1.2993185629089784216469988568659 absolute error = 5e-31 relative error = 3.8481709895729909596028483290587e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.649 Order of pole = 0.4595 TOP MAIN SOLVE Loop x[1] = 1.198 y[1] (analytic) = 1.3003183577968747388654263541817 y[1] (numeric) = 1.3003183577968747388654263541821 absolute error = 4e-31 relative error = 3.0761697518269197458597440480519e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.651 Order of pole = 0.4673 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.3MB, time=3.01 x[1] = 1.199 y[1] (analytic) = 1.3013181539116339505424517920861 y[1] (numeric) = 1.3013181539116339505424517920865 absolute error = 4e-31 relative error = 3.0738063462623607751627088453885e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.652 Order of pole = 0.4751 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = 1.3023179512459184106142344573385 y[1] (numeric) = 1.302317951245918410614234457339 absolute error = 5e-31 relative error = 3.8393082082732064157528216692548e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.654 Order of pole = 0.4829 TOP MAIN SOLVE Loop x[1] = 1.201 y[1] (analytic) = 1.303317749792434349286669812882 y[1] (numeric) = 1.3033177497924343492866698128825 absolute error = 5e-31 relative error = 3.8363630057185188981386247773048e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.655 Order of pole = 0.4909 TOP MAIN SOLVE Loop x[1] = 1.202 y[1] (analytic) = 1.3043175495439316107781560101528 y[1] (numeric) = 1.3043175495439316107781560101533 absolute error = 5e-31 relative error = 3.8334223147946623430126154644320e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.657 Order of pole = 0.4989 TOP MAIN SOLVE Loop x[1] = 1.203 y[1] (analytic) = 1.3053173504932033926286624028311 y[1] (numeric) = 1.3053173504932033926286624028315 absolute error = 4e-31 relative error = 3.0643889001311696332862593167634e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.658 Order of pole = 0.507 TOP MAIN SOLVE Loop x[1] = 1.204 y[1] (analytic) = 1.3063171526330859865657605527639 y[1] (numeric) = 1.3063171526330859865657605527643 absolute error = 4e-31 relative error = 3.0620435412161404000319400761154e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.66 Order of pole = 0.5151 TOP MAIN SOLVE Loop x[1] = 1.205 y[1] (analytic) = 1.307316955956458520918333728524 y[1] (numeric) = 1.3073169559564585209183337285244 absolute error = 4e-31 relative error = 3.0597017668706990598218308995584e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.661 Order of pole = 0.5233 TOP MAIN SOLVE Loop x[1] = 1.206 y[1] (analytic) = 1.3083167604562427045687360790168 y[1] (numeric) = 1.3083167604562427045687360790172 absolute error = 4e-31 relative error = 3.0573635688998589122065554647267e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.663 Order of pole = 0.5316 TOP MAIN SOLVE Loop x[1] = 1.207 y[1] (analytic) = 1.3093165661254025724342275206341 y[1] (numeric) = 1.3093165661254025724342275206345 absolute error = 4e-31 relative error = 3.0550289391334956287199764606831e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.664 Order of pole = 0.5399 TOP MAIN SOLVE Loop x[1] = 1.208 y[1] (analytic) = 1.3103163729569442324685649085684 y[1] (numeric) = 1.3103163729569442324685649085687 absolute error = 3e-31 relative error = 2.2895234020696902238565655002727e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.666 Order of pole = 0.5484 TOP MAIN SOLVE Loop x[1] = 1.209 y[1] (analytic) = 1.3113161809439156141746842729367 y[1] (numeric) = 1.311316180943915614174684272937 absolute error = 3e-31 relative error = 2.2877777637430896696792498822728e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.667 Order of pole = 0.5568 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = 1.3123159900794062186194627901962 y[1] (numeric) = 1.3123159900794062186194627901965 absolute error = 3e-31 relative error = 2.2860347832982471106107021873364e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.669 Order of pole = 0.5654 TOP MAIN SOLVE Loop x[1] = 1.211 y[1] (analytic) = 1.3133158003565468699416027318294 y[1] (numeric) = 1.3133158003565468699416027318297 absolute error = 3e-31 relative error = 2.2842944546814573936888340756218e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.67 Order of pole = 0.574 TOP MAIN SOLVE Loop x[1] = 1.212 y[1] (analytic) = 1.314315611768509468343732887294 y[1] (numeric) = 1.3143156117685094683437328872943 absolute error = 3e-31 relative error = 2.2825567718573141933072179478127e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.672 Order of pole = 0.5827 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.3MB, time=3.40 x[1] = 1.213 y[1] (analytic) = 1.3153154243085067445598758986159 y[1] (numeric) = 1.3153154243085067445598758986162 absolute error = 3e-31 relative error = 2.2808217288086413510527022776885e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.673 Order of pole = 0.5914 TOP MAIN SOLVE Loop x[1] = 1.214 y[1] (analytic) = 1.3163152379697920157894825715862 y[1] (numeric) = 1.3163152379697920157894825715865 absolute error = 3e-31 relative error = 2.2790893195364245218734717876510e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.675 Order of pole = 0.6002 TOP MAIN SOLVE Loop x[1] = 1.215 y[1] (analytic) = 1.3173150527456589430892865451345 y[1] (numeric) = 1.3173150527456589430892865451347 absolute error = 2e-31 relative error = 1.5182396920398287500000245982050e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.676 Order of pole = 0.609 TOP MAIN SOLVE Loop x[1] = 1.216 y[1] (analytic) = 1.3183148686294412902142847078996 y[1] (numeric) = 1.3183148686294412902142847078999 absolute error = 3e-31 relative error = 2.2756323784157025980508161734021e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.678 Order of pole = 0.618 TOP MAIN SOLVE Loop x[1] = 1.217 y[1] (analytic) = 1.319314685614512683899200451116 y[1] (numeric) = 1.3193146856145126838992004511163 absolute error = 3e-31 relative error = 2.2739078346593669527630953884623e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.68 Order of pole = 0.6269 TOP MAIN SOLVE Loop x[1] = 1.218 y[1] (analytic) = 1.3203145036942863755718382414644 y[1] (numeric) = 1.3203145036942863755718382414647 absolute error = 3e-31 relative error = 2.2721859008636916307992076784030e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.681 Order of pole = 0.636 TOP MAIN SOLVE Loop x[1] = 1.219 y[1] (analytic) = 1.3213143228622150044897890882939 y[1] (numeric) = 1.3213143228622150044897890882942 absolute error = 3e-31 relative error = 2.2704665711194566580867815956357e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.683 Order of pole = 0.6451 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = 1.3223141431117903622919972683724 y[1] (numeric) = 1.3223141431117903622919972683727 absolute error = 3e-31 relative error = 2.2687498395352000961608480003553e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.684 Order of pole = 0.6543 TOP MAIN SOLVE Loop x[1] = 1.221 y[1] (analytic) = 1.3233139644365431589567491598331 y[1] (numeric) = 1.3233139644365431589567491598334 absolute error = 3e-31 relative error = 2.2670357002371517889844831317731e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.686 Order of pole = 0.6635 TOP MAIN SOLVE Loop x[1] = 1.222 y[1] (analytic) = 1.3243137868300427901576952270077 y[1] (numeric) = 1.324313786830042790157695227008 absolute error = 3e-31 relative error = 2.2653241473691674037334942630904e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.687 Order of pole = 0.6728 TOP MAIN SOLVE Loop x[1] = 1.223 y[1] (analytic) = 1.3253136102858971060095660911173 y[1] (numeric) = 1.3253136102858971060095660911176 absolute error = 3e-31 relative error = 2.2636151750926627640394264757514e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.689 Order of pole = 0.6821 TOP MAIN SOLVE Loop x[1] = 1.224 y[1] (analytic) = 1.3263134347977521811952932200586 y[1] (numeric) = 1.3263134347977521811952932200589 absolute error = 3e-31 relative error = 2.2619087775865484741938846936206e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.691 Order of pole = 0.6915 TOP MAIN SOLVE Loop x[1] = 1.225 y[1] (analytic) = 1.3273132603592920864662940755074 y[1] (numeric) = 1.3273132603592920864662940755077 absolute error = 3e-31 relative error = 2.2602049490471648328258245967158e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.692 Order of pole = 0.701 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=3.80 x[1] = 1.226 y[1] (analytic) = 1.3283130869642386615077305689683 y[1] (numeric) = 1.3283130869642386615077305689686 absolute error = 3e-31 relative error = 2.2585036836882170345720697844355e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.694 Order of pole = 0.7105 TOP MAIN SOLVE Loop x[1] = 1.227 y[1] (analytic) = 1.3293129146063512891605984019406 y[1] (numeric) = 1.3293129146063512891605984019409 absolute error = 3e-31 relative error = 2.2568049757407106582698609741983e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.695 Order of pole = 0.7201 TOP MAIN SOLVE Loop x[1] = 1.228 y[1] (analytic) = 1.330312743279426670992553300736 y[1] (numeric) = 1.3303127432794266709925533007363 absolute error = 3e-31 relative error = 2.2551088194528874402087364944010e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.697 Order of pole = 0.7297 TOP MAIN SOLVE Loop x[1] = 1.229 y[1] (analytic) = 1.3313125729772986042094283053581 y[1] (numeric) = 1.3313125729772986042094283053585 absolute error = 4e-31 relative error = 3.0045536121202151079833096651958e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.699 Order of pole = 0.7394 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = 1.3323124036938377598994441359162 y[1] (numeric) = 1.3323124036938377598994441359165 absolute error = 3e-31 relative error = 2.2517241389350548345302740791202e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.7 Order of pole = 0.7491 TOP MAIN SOLVE Loop x[1] = 1.231 y[1] (analytic) = 1.3333122354229514626021622409536 y[1] (numeric) = 1.3333122354229514626021622409539 absolute error = 3e-31 relative error = 2.2500356032871356278244664118893e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.702 Order of pole = 0.7589 TOP MAIN SOLVE Loop x[1] = 1.232 y[1] (analytic) = 1.3343120681585834711942774314939 y[1] (numeric) = 1.3343120681585834711942774314942 absolute error = 3e-31 relative error = 2.2483495964629534599507586352044e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.704 Order of pole = 0.7687 TOP MAIN SOLVE Loop x[1] = 1.233 y[1] (analytic) = 1.3353119018947137610843940241745 y[1] (numeric) = 1.3353119018947137610843940241748 absolute error = 3e-31 relative error = 2.2466661127959773289846951675435e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.705 Order of pole = 0.7786 TOP MAIN SOLVE Loop x[1] = 1.234 y[1] (analytic) = 1.3363117366253583077089761582 y[1] (numeric) = 1.3363117366253583077089761582004 absolute error = 4e-31 relative error = 2.9933135288487105804755027357551e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.707 Order of pole = 0.7886 TOP MAIN SOLVE Loop x[1] = 1.235 y[1] (analytic) = 1.3373115723445688713217094156293 y[1] (numeric) = 1.3373115723445688713217094156296 absolute error = 3e-31 relative error = 2.2433066923517404102653824840125e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.708 Order of pole = 0.7986 TOP MAIN SOLVE Loop x[1] = 1.236 y[1] (analytic) = 1.3383114090464327830685570643215 y[1] (numeric) = 1.3383114090464327830685570643218 absolute error = 3e-31 relative error = 2.2416307443254523177489613465810e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.71 Order of pole = 0.8086 TOP MAIN SOLVE Loop x[1] = 1.237 y[1] (analytic) = 1.3393112467250727323408401593331 y[1] (numeric) = 1.3393112467250727323408401593334 absolute error = 3e-31 relative error = 2.2399572969581919290235849227297e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.712 Order of pole = 0.8187 TOP MAIN SOLVE Loop x[1] = 1.238 y[1] (analytic) = 1.3403110853746465553987163832604 y[1] (numeric) = 1.3403110853746465553987163832607 absolute error = 3e-31 relative error = 2.2382863446670917677103968824608e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.713 Order of pole = 0.8289 TOP MAIN SOLVE Loop x[1] = 1.239 y[1] (analytic) = 1.3413109249893470252574778805704 y[1] (numeric) = 1.3413109249893470252574778805706 absolute error = 2e-31 relative error = 1.4910785879238882830513504758038e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.715 Order of pole = 0.8391 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=4.19 x[1] = 1.24 y[1] (analytic) = 1.3423107655634016428291334469211 y[1] (numeric) = 1.3423107655634016428291334469214 absolute error = 3e-31 relative error = 2.2349519030645816404290823791824e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.717 Order of pole = 0.8493 TOP MAIN SOLVE Loop x[1] = 1.241 y[1] (analytic) = 1.3433106070910724293117852734306 y[1] (numeric) = 1.3433106070910724293117852734309 absolute error = 3e-31 relative error = 2.2332884026699336557944804655459e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.718 Order of pole = 0.8596 TOP MAIN SOLVE Loop x[1] = 1.242 y[1] (analytic) = 1.3443104495666557198193550193568 y[1] (numeric) = 1.3443104495666557198193550193571 absolute error = 3e-31 relative error = 2.2316273751848488260512298073909e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.72 Order of pole = 0.8699 TOP MAIN SOLVE Loop x[1] = 1.243 y[1] (analytic) = 1.3453102929844819582442582962735 y[1] (numeric) = 1.3453102929844819582442582962739 absolute error = 4e-31 relative error = 2.9732917534781246675427584843756e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.722 Order of pole = 0.8803 TOP MAIN SOLVE Loop x[1] = 1.244 y[1] (analytic) = 1.3463101373389154933456706940976 y[1] (numeric) = 1.346310137338915493345670694098 absolute error = 4e-31 relative error = 2.9710836226089068868626217869729e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.723 Order of pole = 0.8907 TOP MAIN SOLVE Loop x[1] = 1.245 y[1] (analytic) = 1.3473099826243543760560722657886 y[1] (numeric) = 1.347309982624354376056072265789 absolute error = 4e-31 relative error = 2.9688787670144104594295187336309e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.725 Order of pole = 0.9011 TOP MAIN SOLVE Loop x[1] = 1.246 y[1] (analytic) = 1.3483098288352301579988009147304 y[1] (numeric) = 1.3483098288352301579988009147308 absolute error = 4e-31 relative error = 2.9666771794250703560824014376566e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.727 Order of pole = 0.9116 TOP MAIN SOLVE Loop x[1] = 1.247 y[1] (analytic) = 1.3493096759660076912093883982277 y[1] (numeric) = 1.3493096759660076912093883982281 absolute error = 4e-31 relative error = 2.9644788525927457149285058450704e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.728 Order of pole = 0.9222 TOP MAIN SOLVE Loop x[1] = 1.248 y[1] (analytic) = 1.3503095240111849290534956737293 y[1] (numeric) = 1.3503095240111849290534956737297 absolute error = 4e-31 relative error = 2.9622837792906414145178710439605e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.73 Order of pole = 0.9328 TOP MAIN SOLVE Loop x[1] = 1.249 y[1] (analytic) = 1.3513093729652927283343070728191 y[1] (numeric) = 1.3513093729652927283343070728195 absolute error = 4e-31 relative error = 2.9600919523132299886329335973316e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.732 Order of pole = 0.9434 TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (analytic) = 1.3523092228228946525822852931905 y[1] (numeric) = 1.3523092228228946525822852931909 absolute error = 4e-31 relative error = 2.9579033644761738809745439302423e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.733 Order of pole = 0.954 TOP MAIN SOLVE Loop x[1] = 1.251 y[1] (analytic) = 1.3533090735785867765202314522295 y[1] (numeric) = 1.3533090735785867765202314522299 absolute error = 4e-31 relative error = 2.9557180086162480380355266815339e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.735 Order of pole = 0.9647 TOP MAIN SOLVE Loop x[1] = 1.252 y[1] (analytic) = 1.3543089252269974916966364489419 y[1] (numeric) = 1.3543089252269974916966364489423 absolute error = 4e-31 relative error = 2.9535358775912628384626199421670e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.737 Order of pole = 0.9754 TOP MAIN SOLVE Loop x[1] = 1.253 y[1] (analytic) = 1.3553087777627873132803516352537 y[1] (numeric) = 1.3553087777627873132803516352541 absolute error = 4e-31 relative error = 2.9513569642799873572172798767029e-29 % Correct digits = 30 h = 0.001 memory used=45.7MB, alloc=4.3MB, time=4.58 Complex estimate of poles used for equation 1 Radius of convergence = 1.738 Order of pole = 0.9862 TOP MAIN SOLVE Loop x[1] = 1.254 y[1] (analytic) = 1.3563086311806486880096483046339 y[1] (numeric) = 1.3563086311806486880096483046343 absolute error = 4e-31 relative error = 2.9491812615820729628554277892135e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.74 Order of pole = 0.997 TOP MAIN SOLVE Loop x[1] = 1.255 y[1] (analytic) = 1.3573084854753058032887767670016 y[1] (numeric) = 1.357308485475305803288776767002 absolute error = 4e-31 relative error = 2.9470087624179772462557466739746e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.742 Order of pole = 1.008 TOP MAIN SOLVE Loop x[1] = 1.256 y[1] (analytic) = 1.3583083406415143974251767954146 y[1] (numeric) = 1.3583083406415143974251767954151 absolute error = 5e-31 relative error = 3.6810493246611103489195051320527e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.743 Order of pole = 1.019 TOP MAIN SOLVE Loop x[1] = 1.257 y[1] (analytic) = 1.3593081966740615710005320035397 y[1] (numeric) = 1.3593081966740615710005320035402 absolute error = 5e-31 relative error = 3.6783416830958115008788604886791e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.745 Order of pole = 1.03 TOP MAIN SOLVE Loop x[1] = 1.258 y[1] (analytic) = 1.3603080535677655993689012447921 y[1] (numeric) = 1.3603080535677655993689012447926 absolute error = 5e-31 relative error = 3.6756380195546039135037445485320e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.747 Order of pole = 1.04 TOP MAIN SOLVE Loop x[1] = 1.259 y[1] (analytic) = 1.3613079113174757462752004157302 y[1] (numeric) = 1.3613079113174757462752004157306 absolute error = 4e-31 relative error = 2.9383506602329184079238972199215e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.748 Order of pole = 1.051 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = 1.3623077699180720785873480992028 y[1] (numeric) = 1.3623077699180720785873480992032 absolute error = 4e-31 relative error = 2.9361940732677141504426503874462e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.75 Order of pole = 1.062 TOP MAIN SOLVE Loop x[1] = 1.261 y[1] (analytic) = 1.363307629364465282135428298279 y[1] (numeric) = 1.3633076293644652821354282982795 absolute error = 5e-31 relative error = 3.6675508097397326743648625318579e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.752 Order of pole = 1.073 TOP MAIN SOLVE Loop x[1] = 1.262 y[1] (analytic) = 1.3643074896515964786512630915333 y[1] (numeric) = 1.3643074896515964786512630915338 absolute error = 5e-31 relative error = 3.6648629710864162773064462240664e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.753 Order of pole = 1.084 TOP MAIN SOLVE Loop x[1] = 1.263 y[1] (analytic) = 1.365307350774437043801827385199 y[1] (numeric) = 1.3653073507744370438018273851995 absolute error = 5e-31 relative error = 3.6621790669799535390292232555181e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.755 Order of pole = 1.095 TOP MAIN SOLVE Loop x[1] = 1.264 y[1] (analytic) = 1.366307212727988426309977049421 y[1] (numeric) = 1.3663072127279884263099770494215 absolute error = 5e-31 relative error = 3.6594990888007747830442755565326e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.757 Order of pole = 1.106 TOP MAIN SOLVE Loop x[1] = 1.265 y[1] (analytic) = 1.3673070755072819681560006056981 y[1] (numeric) = 1.3673070755072819681560006056986 absolute error = 5e-31 relative error = 3.6568230279543895559679683837797e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.759 Order of pole = 1.118 TOP MAIN SOLVE Loop x[1] = 1.266 y[1] (analytic) = 1.3683069391073787258535432819729 y[1] (numeric) = 1.3683069391073787258535432819734 absolute error = 5e-31 relative error = 3.6541508758712959613751772723814e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.76 Order of pole = 1.129 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=4.98 x[1] = 1.267 y[1] (analytic) = 1.3693068035233692927934906720566 y[1] (numeric) = 1.3693068035233692927934906720571 absolute error = 5e-31 relative error = 3.6514826240068903838096203304832e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.762 Order of pole = 1.14 TOP MAIN SOLVE Loop x[1] = 1.268 y[1] (analytic) = 1.3703066687503736226494374285103 y[1] (numeric) = 1.3703066687503736226494374285108 absolute error = 5e-31 relative error = 3.6488182638413776010115092760307e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.764 Order of pole = 1.151 TOP MAIN SOLVE Loop x[1] = 1.269 y[1] (analytic) = 1.3713065347835408538384043840842 y[1] (numeric) = 1.3713065347835408538384043840847 absolute error = 5e-31 relative error = 3.6461577868796812824336383173765e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.765 Order of pole = 1.162 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = 1.3723064016180491350305052376726 y[1] (numeric) = 1.3723064016180491350305052376731 absolute error = 5e-31 relative error = 3.6435011846513548721278674376052e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.767 Order of pole = 1.173 TOP MAIN SOLVE Loop x[1] = 1.271 y[1] (analytic) = 1.3733062692491054517013014577977 y[1] (numeric) = 1.3733062692491054517013014577983 absolute error = 6e-31 relative error = 4.3690181384525914249136715921718e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.769 Order of pole = 1.184 TOP MAIN SOLVE Loop x[1] = 1.272 y[1] (analytic) = 1.3743061376719454537206213512035 y[1] (numeric) = 1.3743061376719454537206213512041 absolute error = 6e-31 relative error = 4.3658394847627708778394810997687e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.771 Order of pole = 1.196 TOP MAIN SOLVE Loop x[1] = 1.273 y[1] (analytic) = 1.3753060068818332839716563175312 y[1] (numeric) = 1.3753060068818332839716563175318 absolute error = 6e-31 relative error = 4.3626654504356584617232000019645e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.772 Order of pole = 1.207 TOP MAIN SOLVE Loop x[1] = 1.274 y[1] (analytic) = 1.3763058768740614079941841645637 y[1] (numeric) = 1.3763058768740614079941841645643 absolute error = 6e-31 relative error = 4.3594960254238809671934822985959e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.774 Order of pole = 1.218 TOP MAIN SOLVE Loop x[1] = 1.275 y[1] (analytic) = 1.3773057476439504446458059934506 y[1] (numeric) = 1.3773057476439504446458059934511 absolute error = 5e-31 relative error = 3.6302759997575775422718177700062e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.776 Order of pole = 1.229 TOP MAIN SOLVE Loop x[1] = 1.276 y[1] (analytic) = 1.3783056191868489977751195809557 y[1] (numeric) = 1.3783056191868489977751195809563 absolute error = 6e-31 relative error = 4.3531709633018730139583746166368e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.777 Order of pole = 1.241 TOP MAIN SOLVE Loop x[1] = 1.277 y[1] (analytic) = 1.3793054914981334889007883873766 y[1] (numeric) = 1.3793054914981334889007883873771 absolute error = 5e-31 relative error = 3.6250127552013491904105617683627e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.779 Order of pole = 1.252 TOP MAIN SOLVE Loop x[1] = 1.278 y[1] (analytic) = 1.3803053645732079908905013056347 y[1] (numeric) = 1.3803053645732079908905013056352 absolute error = 5e-31 relative error = 3.6223868488303715033261065275609e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.781 Order of pole = 1.263 TOP MAIN SOLVE Loop x[1] = 1.279 y[1] (analytic) = 1.3813052384075040626338540404081 y[1] (numeric) = 1.3813052384075040626338540404086 absolute error = 5e-31 relative error = 3.6197647420525680811432597943466e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.782 Order of pole = 1.274 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = 1.3823051129964805847032185673061 y[1] (numeric) = 1.3823051129964805847032185673066 absolute error = 5e-31 relative error = 3.6171464266389718841071895072959e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.784 Order of pole = 1.286 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.3MB, time=5.38 x[1] = 1.281 y[1] (analytic) = 1.3833049883356235959967024722378 y[1] (numeric) = 1.3833049883356235959967024722383 absolute error = 5e-31 relative error = 3.6145318943842901893461337970779e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.786 Order of pole = 1.297 TOP MAIN SOLVE Loop x[1] = 1.282 y[1] (analytic) = 1.3843048644204461313573351115319 y[1] (numeric) = 1.3843048644204461313573351115323 absolute error = 4e-31 relative error = 2.8895369096854559523591478357774e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.788 Order of pole = 1.308 TOP MAIN SOLVE Loop x[1] = 1.283 y[1] (analytic) = 1.3853047412464880601626524652635 y[1] (numeric) = 1.3853047412464880601626524652639 absolute error = 4e-31 relative error = 2.8874513173186907659475197279148e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.789 Order of pole = 1.319 TOP MAIN SOLVE Loop x[1] = 1.284 y[1] (analytic) = 1.3863046188093159258788872808607 y[1] (numeric) = 1.3863046188093159258788872808611 absolute error = 4e-31 relative error = 2.8853687318993156042714087718654e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.791 Order of pole = 1.331 TOP MAIN SOLVE Loop x[1] = 1.285 y[1] (analytic) = 1.3873044971045227865740056226167 y[1] (numeric) = 1.387304497104522786574005622617 absolute error = 3e-31 relative error = 2.1624668602036348317968260889843e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.793 Order of pole = 1.342 TOP MAIN SOLVE Loop x[1] = 1.286 y[1] (analytic) = 1.3883043761277280563838652564408 y[1] (numeric) = 1.3883043761277280563838652564412 absolute error = 4e-31 relative error = 2.8812125559647363095236945575803e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.794 Order of pole = 1.353 TOP MAIN SOLVE Loop x[1] = 1.287 y[1] (analytic) = 1.3893042558745773479258054092455 y[1] (numeric) = 1.3893042558745773479258054092458 absolute error = 3e-31 relative error = 2.1593542143952317470889824612367e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.796 Order of pole = 1.364 TOP MAIN SOLVE Loop x[1] = 1.288 y[1] (analytic) = 1.3903041363407423156540113499817 y[1] (numeric) = 1.3903041363407423156540113499821 absolute error = 4e-31 relative error = 2.8770683301913597089923181794679e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.798 Order of pole = 1.375 TOP MAIN SOLVE Loop x[1] = 1.289 y[1] (analytic) = 1.3913040175219205001510309457074 y[1] (numeric) = 1.3913040175219205001510309457077 absolute error = 3e-31 relative error = 2.1562505119070670047339819341299e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.8 Order of pole = 1.387 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = 1.3923038994138351733498538523673 y[1] (numeric) = 1.3923038994138351733498538523677 absolute error = 4e-31 relative error = 2.8729360031843723444885353952481e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.801 Order of pole = 1.398 TOP MAIN SOLVE Loop x[1] = 1.291 y[1] (analytic) = 1.3933037820122351846809973073792 y[1] (numeric) = 1.3933037820122351846809973073796 absolute error = 4e-31 relative error = 2.8708742857376915689144904004197e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.803 Order of pole = 1.409 TOP MAIN SOLVE Loop x[1] = 1.292 y[1] (analytic) = 1.3943036653128948081390756008082 y[1] (numeric) = 1.3943036653128948081390756008086 absolute error = 4e-31 relative error = 2.8688155238424066805281821423398e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.805 Order of pole = 1.42 TOP MAIN SOLVE Loop x[1] = 1.293 y[1] (analytic) = 1.3953035493116135902633632150568 y[1] (numeric) = 1.3953035493116135902633632150572 absolute error = 4e-31 relative error = 2.8667597111563562101885012375174e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.806 Order of pole = 1.431 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.3MB, time=5.76 x[1] = 1.294 y[1] (analytic) = 1.3963034340042161990268943407377 y[1] (numeric) = 1.3963034340042161990268943407382 absolute error = 5e-31 relative error = 3.5808835516943248327311099608406e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.808 Order of pole = 1.443 TOP MAIN SOLVE Loop x[1] = 1.295 y[1] (analytic) = 1.3973033193865522736286739999007 y[1] (numeric) = 1.3973033193865522736286739999011 absolute error = 4e-31 relative error = 2.8626569081336544535482533369726e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.81 Order of pole = 1.454 TOP MAIN SOLVE Loop x[1] = 1.296 y[1] (analytic) = 1.3983032054544962751836083381812 y[1] (numeric) = 1.3983032054544962751836083381816 absolute error = 4e-31 relative error = 2.8606099052028300638358179159359e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.811 Order of pole = 1.465 TOP MAIN SOLVE Loop x[1] = 1.297 y[1] (analytic) = 1.3993030922039473383047937858816 y[1] (numeric) = 1.399303092203947338304793785882 absolute error = 4e-31 relative error = 2.8585658262927665340701946768323e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.813 Order of pole = 1.476 TOP MAIN SOLVE Loop x[1] = 1.298 y[1] (analytic) = 1.4003029796308291235728367355979 y[1] (numeric) = 1.4003029796308291235728367355983 absolute error = 4e-31 relative error = 2.8565246651510701735203260433731e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.815 Order of pole = 1.487 TOP MAIN SOLVE Loop x[1] = 1.299 y[1] (analytic) = 1.4013028677310896708869071419107 y[1] (numeric) = 1.4013028677310896708869071419111 absolute error = 4e-31 relative error = 2.8544864155431107570191247581635e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.816 Order of pole = 1.498 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = 1.4023027565007012536922610179683 y[1] (numeric) = 1.4023027565007012536922610179687 absolute error = 4e-31 relative error = 2.8524510712519587835198630074557e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.818 Order of pole = 1.509 TOP MAIN SOLVE Loop x[1] = 1.301 y[1] (analytic) = 1.4033026459356602340789981856291 y[1] (numeric) = 1.4033026459356602340789981856295 absolute error = 4e-31 relative error = 2.8504186260783229986005049545519e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.82 Order of pole = 1.52 TOP MAIN SOLVE Loop x[1] = 1.302 y[1] (analytic) = 1.4043025360319869187468528312924 y[1] (numeric) = 1.4043025360319869187468528312928 absolute error = 4e-31 relative error = 2.8483890738404881796322846739472e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.822 Order of pole = 1.531 TOP MAIN SOLVE Loop x[1] = 1.303 y[1] (analytic) = 1.4053024267857254158308454297412 y[1] (numeric) = 1.4053024267857254158308454297416 absolute error = 4e-31 relative error = 2.8463624083742531823358947539518e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.823 Order of pole = 1.542 TOP MAIN SOLVE Loop x[1] = 1.304 y[1] (analytic) = 1.4063023181929434925826554243302 y[1] (numeric) = 1.4063023181929434925826554243307 absolute error = 5e-31 relative error = 3.5554232794160865593195885486189e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.825 Order of pole = 1.552 TOP MAIN SOLVE Loop x[1] = 1.305 y[1] (analytic) = 1.4073022102497324339026046947709 y[1] (numeric) = 1.4073022102497324339026046947714 absolute error = 5e-31 relative error = 3.5528971414837232078614180059171e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.827 Order of pole = 1.563 TOP MAIN SOLVE Loop x[1] = 1.306 y[1] (analytic) = 1.408302102952206901717172304666 y[1] (numeric) = 1.4083021029522069017171723046665 absolute error = 5e-31 relative error = 3.5503745890306913797702379918331e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.828 Order of pole = 1.574 TOP MAIN SOLVE Loop x[1] = 1.307 y[1] (analytic) = 1.4093019962965047951969913009095 y[1] (numeric) = 1.40930199629650479519699130091 absolute error = 5e-31 relative error = 3.5478556144385420977239603244613e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.83 Order of pole = 1.585 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.3MB, time=6.16 x[1] = 1.308 y[1] (analytic) = 1.4103018902787871118103084371525 y[1] (numeric) = 1.410301890278787111810308437153 absolute error = 5e-31 relative error = 3.5453402101103366190896809887265e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.832 Order of pole = 1.596 TOP MAIN SOLVE Loop x[1] = 1.309 y[1] (analytic) = 1.4113017848952378092069176148112 y[1] (numeric) = 1.4113017848952378092069176148116 absolute error = 4e-31 relative error = 2.8342626947764567372015950411729e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.833 Order of pole = 1.606 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = 1.4123016801420636679276075786067 y[1] (numeric) = 1.4123016801420636679276075786071 absolute error = 4e-31 relative error = 2.8322560655720804033983841285914e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.835 Order of pole = 1.617 TOP MAIN SOLVE Loop x[1] = 1.311 y[1] (analytic) = 1.4133015760154941549341939704349 y[1] (numeric) = 1.4133015760154941549341939704353 absolute error = 4e-31 relative error = 2.8302522744488524031454378043817e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.837 Order of pole = 1.627 TOP MAIN SOLVE Loop x[1] = 1.312 y[1] (analytic) = 1.4143014725117812879552352364999 y[1] (numeric) = 1.4143014725117812879552352365003 absolute error = 4e-31 relative error = 2.8282513153974528983201138356950e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.838 Order of pole = 1.638 TOP MAIN SOLVE Loop x[1] = 1.313 y[1] (analytic) = 1.4153013696271995006425610991559 y[1] (numeric) = 1.4153013696271995006425610991563 absolute error = 4e-31 relative error = 2.8262531824254706951345396751007e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.84 Order of pole = 1.648 TOP MAIN SOLVE Loop x[1] = 1.314 y[1] (analytic) = 1.4163012673580455085337713478077 y[1] (numeric) = 1.4163012673580455085337713478081 absolute error = 4e-31 relative error = 2.8242578695573440836749848595876e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.841 Order of pole = 1.659 TOP MAIN SOLVE Loop x[1] = 1.315 y[1] (analytic) = 1.4173011657006381758158915735551 y[1] (numeric) = 1.4173011657006381758158915735555 absolute error = 4e-31 relative error = 2.8222653708343019240446993763236e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.843 Order of pole = 1.669 TOP MAIN SOLVE Loop x[1] = 1.316 y[1] (analytic) = 1.4183010646513183828854011710391 y[1] (numeric) = 1.4183010646513183828854011710395 absolute error = 4e-31 relative error = 2.8202756803143049779215721157509e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.845 Order of pole = 1.68 TOP MAIN SOLVE Loop x[1] = 1.317 y[1] (analytic) = 1.4193009642064488946998774591808 y[1] (numeric) = 1.4193009642064488946998774591813 absolute error = 5e-31 relative error = 3.5228609900899843554355584659151e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.846 Order of pole = 1.69 TOP MAIN SOLVE Loop x[1] = 1.318 y[1] (analytic) = 1.4203008643624142299165281311964 y[1] (numeric) = 1.4203008643624142299165281311969 absolute error = 5e-31 relative error = 3.5203808752482487232254705230407e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.848 Order of pole = 1.7 TOP MAIN SOLVE Loop x[1] = 1.319 y[1] (analytic) = 1.4213007651156205308129124344264 y[1] (numeric) = 1.4213007651156205308129124344269 absolute error = 5e-31 relative error = 3.5179042485024329410243783906921e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.85 Order of pole = 1.71 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = 1.4223006664624954339851795031347 y[1] (numeric) = 1.4223006664624954339851795031352 absolute error = 5e-31 relative error = 3.5154311025079201970932645233275e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.851 Order of pole = 1.72 TOP MAIN SOLVE Loop x[1] = 1.321 y[1] (analytic) = 1.4233005683994879418191801234912 y[1] (numeric) = 1.4233005683994879418191801234917 absolute error = 5e-31 relative error = 3.5129614299406464289859309800239e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.853 Order of pole = 1.73 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=6.55 x[1] = 1.322 y[1] (analytic) = 1.4243004709230682947298359004462 y[1] (numeric) = 1.4243004709230682947298359004467 absolute error = 5e-31 relative error = 3.5104952234970287978556683836813e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.854 Order of pole = 1.74 TOP MAIN SOLVE Loop x[1] = 1.323 y[1] (analytic) = 1.4253003740297278441641773221055 y[1] (numeric) = 1.425300374029727844164177322106 absolute error = 5e-31 relative error = 3.5080324758938944593539783686386e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.856 Order of pole = 1.75 TOP MAIN SOLVE Loop x[1] = 1.324 y[1] (analytic) = 1.4263002777159789263634895794948 y[1] (numeric) = 1.4263002777159789263634895794954 absolute error = 6e-31 relative error = 4.2066878158420915556388175034714e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.858 Order of pole = 1.76 TOP MAIN SOLVE Loop x[1] = 1.325 y[1] (analytic) = 1.4273001819783547368800321992333 y[1] (numeric) = 1.4273001819783547368800321992338 absolute error = 5e-31 relative error = 3.5031173281780089454991266834512e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.859 Order of pole = 1.77 TOP MAIN SOLVE Loop x[1] = 1.326 y[1] (analytic) = 1.4283000868134092058438255845682 y[1] (numeric) = 1.4283000868134092058438255845687 absolute error = 5e-31 relative error = 3.5006649136003251159245643584020e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.861 Order of pole = 1.78 TOP MAIN SOLVE Loop x[1] = 1.327 y[1] (analytic) = 1.4292999922177168739750244374255 y[1] (numeric) = 1.429299992217716873975024437426 absolute error = 5e-31 relative error = 3.4982159289331188658280249373245e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.862 Order of pole = 1.789 TOP MAIN SOLVE Loop x[1] = 1.328 y[1] (analytic) = 1.4302998981878727693374247515381 y[1] (numeric) = 1.4302998981878727693374247515386 absolute error = 5e-31 relative error = 3.4957703669942091684223082207379e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.864 Order of pole = 1.799 TOP MAIN SOLVE Loop x[1] = 1.329 y[1] (analytic) = 1.4312998047204922848286776252833 y[1] (numeric) = 1.4312998047204922848286776252839 absolute error = 6e-31 relative error = 4.1919938647456845193570522982237e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.866 Order of pole = 1.808 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = 1.4322997118122110564028095435234 y[1] (numeric) = 1.4322997118122110564028095435239 absolute error = 5e-31 relative error = 3.4908894826724299782346101068829e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.867 Order of pole = 1.818 TOP MAIN SOLVE Loop x[1] = 1.331 y[1] (analytic) = 1.4332996194596848420206750214303 y[1] (numeric) = 1.4332996194596848420206750214308 absolute error = 5e-31 relative error = 3.4884541460248657939454812449868e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.869 Order of pole = 1.827 TOP MAIN SOLVE Loop x[1] = 1.332 y[1] (analytic) = 1.4342995276595894013239935909252 y[1] (numeric) = 1.4342995276595894013239935909258 absolute error = 6e-31 relative error = 4.1832266442912854994543495417028e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.87 Order of pole = 1.836 TOP MAIN SOLVE Loop x[1] = 1.333 y[1] (analytic) = 1.4352994364086203760286490428837 y[1] (numeric) = 1.4352994364086203760286490428843 absolute error = 6e-31 relative error = 4.1803123778917441058819307496594e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.872 Order of pole = 1.845 TOP MAIN SOLVE Loop x[1] = 1.334 y[1] (analytic) = 1.4362993457034931710329546165758 y[1] (numeric) = 1.4362993457034931710329546165764 absolute error = 6e-31 relative error = 4.1774021675552780416164566628009e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.873 Order of pole = 1.854 TOP MAIN SOLVE Loop x[1] = 1.335 y[1] (analytic) = 1.437299255540942836236613452835 y[1] (numeric) = 1.4372992555409428362366134528356 absolute error = 6e-31 relative error = 4.1744960048294440194983256581739e-29 % memory used=68.6MB, alloc=4.3MB, time=6.95 Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.875 Order of pole = 1.863 TOP MAIN SOLVE Loop x[1] = 1.336 y[1] (analytic) = 1.4382991659177239490661291000848 y[1] (numeric) = 1.4382991659177239490661291000855 absolute error = 7e-31 relative error = 4.8668595281660797281081001971068e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.877 Order of pole = 1.872 TOP MAIN SOLVE Loop x[1] = 1.337 y[1] (analytic) = 1.4392990768306104977024461835005 y[1] (numeric) = 1.4392990768306104977024461835011 absolute error = 6e-31 relative error = 4.1686957885168805015823567074066e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.878 Order of pole = 1.881 TOP MAIN SOLVE Loop x[1] = 1.338 y[1] (analytic) = 1.44029898827639576500662651814 y[1] (numeric) = 1.4402989882763957650066265181407 absolute error = 7e-31 relative error = 4.8601020044990050277368232862528e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.88 Order of pole = 1.89 TOP MAIN SOLVE Loop x[1] = 1.339 y[1] (analytic) = 1.441298900251892213139390967737 y[1] (numeric) = 1.4412989002518922131393909677377 absolute error = 7e-31 relative error = 4.8567302721015241620868999382940e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.881 Order of pole = 1.899 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = 1.4422988127539313688703822228839 y[1] (numeric) = 1.4422988127539313688703822228845 absolute error = 6e-31 relative error = 4.1600256111586024078645268155268e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.883 Order of pole = 1.907 TOP MAIN SOLVE Loop x[1] = 1.341 y[1] (analytic) = 1.4432987257793637095730283964415 y[1] (numeric) = 1.4432987257793637095730283964422 absolute error = 7e-31 relative error = 4.8500008175508402610148198162427e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.884 Order of pole = 1.916 TOP MAIN SOLVE Loop x[1] = 1.342 y[1] (analytic) = 1.4442986393250585499009119110529 y[1] (numeric) = 1.4442986393250585499009119110536 absolute error = 7e-31 relative error = 4.8466430760269914162948754323163e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.886 Order of pole = 1.924 TOP MAIN SOLVE Loop x[1] = 1.343 y[1] (analytic) = 1.4452985533879039291415725844885 y[1] (numeric) = 1.4452985533879039291415725844891 absolute error = 6e-31 relative error = 4.1513914104013213943214629048045e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.887 Order of pole = 1.932 TOP MAIN SOLVE Loop x[1] = 1.344 y[1] (analytic) = 1.4462984679648064992436981040768 y[1] (numeric) = 1.4462984679648064992436981040775 absolute error = 7e-31 relative error = 4.8399415162557819188762390404908e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.889 Order of pole = 1.941 TOP MAIN SOLVE Loop x[1] = 1.345 y[1] (analytic) = 1.4472983830526914135136792225319 y[1] (numeric) = 1.4472983830526914135136792225325 absolute error = 6e-31 relative error = 4.1456551532549867915071983333030e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.89 Order of pole = 1.949 TOP MAIN SOLVE Loop x[1] = 1.346 y[1] (analytic) = 1.4482982986485022159775310049297 y[1] (numeric) = 1.4482982986485022159775310049303 absolute error = 6e-31 relative error = 4.1427929630235535795286171344685e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.892 Order of pole = 1.957 TOP MAIN SOLVE Loop x[1] = 1.347 y[1] (analytic) = 1.4492982147492007314042053112727 y[1] (numeric) = 1.4492982147492007314042053112733 absolute error = 6e-31 relative error = 4.1399347207767675336612132701515e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.893 Order of pole = 1.964 TOP MAIN SOLVE Loop x[1] = 1.348 y[1] (analytic) = 1.4502981313517669559863434118392 y[1] (numeric) = 1.4502981313517669559863434118398 absolute error = 6e-31 relative error = 4.1370804183603487072015484984658e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.895 Order of pole = 1.972 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.3MB, time=7.34 x[1] = 1.349 y[1] (analytic) = 1.4512980484531989486745412042015 y[1] (numeric) = 1.4512980484531989486745412042021 absolute error = 6e-31 relative error = 4.1342300476424063162729225020592e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.896 Order of pole = 1.98 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = 1.4522979660505127231612229322353 y[1] (numeric) = 1.452297966050512723161222932236 absolute error = 7e-31 relative error = 4.8199475339322559683092338496512e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.897 Order of pole = 1.987 TOP MAIN SOLVE Loop x[1] = 1.351 y[1] (analytic) = 1.4532978841407421405102425994686 y[1] (numeric) = 1.4532978841407421405102425994693 absolute error = 7e-31 relative error = 4.8166312470335207673391088397829e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.899 Order of pole = 1.995 TOP MAIN SOLVE Loop x[1] = 1.352 y[1] (analytic) = 1.4542978027209388024283554225534 y[1] (numeric) = 1.4542978027209388024283554225541 absolute error = 7e-31 relative error = 4.8133195188105573375567054674988e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.9 Order of pole = 2.002 TOP MAIN SOLVE Loop x[1] = 1.353 y[1] (analytic) = 1.4552977217881719451747246863132 y[1] (numeric) = 1.4552977217881719451747246863139 absolute error = 7e-31 relative error = 4.8100123398797538677397169033938e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.902 Order of pole = 2.009 TOP MAIN SOLVE Loop x[1] = 1.354 y[1] (analytic) = 1.4562976413395283341046522405296 y[1] (numeric) = 1.4562976413395283341046522405303 absolute error = 7e-31 relative error = 4.8067097008831767123177422921242e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.903 Order of pole = 2.017 TOP MAIN SOLVE Loop x[1] = 1.355 y[1] (analytic) = 1.457297561372112158843743621203 y[1] (numeric) = 1.4572975613721121588437436212037 absolute error = 7e-31 relative error = 4.8034115924884829629547744253268e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.905 Order of pole = 2.024 TOP MAIN SOLVE Loop x[1] = 1.356 y[1] (analytic) = 1.4582974818830449290887413862559 y[1] (numeric) = 1.4582974818830449290887413862566 absolute error = 7e-31 relative error = 4.8001180053888333750154965048428e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.906 Order of pole = 2.03 TOP MAIN SOLVE Loop x[1] = 1.357 y[1] (analytic) = 1.4592974028694653710312827283419 y[1] (numeric) = 1.4592974028694653710312827283426 absolute error = 7e-31 relative error = 4.7968289303028056472485106563939e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.907 Order of pole = 2.037 TOP MAIN SOLVE Loop x[1] = 1.358 y[1] (analytic) = 1.4602973243285293244008597663826 y[1] (numeric) = 1.4602973243285293244008597663833 absolute error = 7e-31 relative error = 4.7935443579743080530284855157953e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.909 Order of pole = 2.044 TOP MAIN SOLVE Loop x[1] = 1.359 y[1] (analytic) = 1.4612972462574096401232831234626 y[1] (numeric) = 1.4612972462574096401232831234633 absolute error = 7e-31 relative error = 4.7902642791724934215080223506556e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.91 Order of pole = 2.05 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = 1.4622971686532960785909714725607 y[1] (numeric) = 1.4622971686532960785909714725614 absolute error = 7e-31 relative error = 4.7869886846916734670387991427767e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.912 Order of pole = 2.057 TOP MAIN SOLVE Loop x[1] = 1.361 y[1] (analytic) = 1.4632970915133952085414116740665 y[1] (numeric) = 1.4632970915133952085414116740672 absolute error = 7e-31 relative error = 4.7837175653512334652302601801205e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.913 Order of pole = 2.063 TOP MAIN SOLVE Loop x[1] = 1.362 y[1] (analytic) = 1.4642970148349303065401559409001 y[1] (numeric) = 1.4642970148349303065401559409008 absolute error = 7e-31 relative error = 4.7804509119955472740227753299011e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.914 Order of pole = 2.069 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=7.73 x[1] = 1.363 y[1] (analytic) = 1.4652969386151412570647441490962 y[1] (numeric) = 1.4652969386151412570647441490969 absolute error = 7e-31 relative error = 4.7771887154938926981607986212646e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.916 Order of pole = 2.075 TOP MAIN SOLVE Loop x[1] = 1.364 y[1] (analytic) = 1.4662968628512844531859609646972 y[1] (numeric) = 1.4662968628512844531859609646979 absolute error = 7e-31 relative error = 4.7739309667403671954601103899933e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.917 Order of pole = 2.081 TOP MAIN SOLVE Loop x[1] = 1.365 y[1] (analytic) = 1.4672967875406326978428588824926 y[1] (numeric) = 1.4672967875406326978428588824933 absolute error = 7e-31 relative error = 4.7706776566538039232717313591669e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.918 Order of pole = 2.087 TOP MAIN SOLVE Loop x[1] = 1.366 y[1] (analytic) = 1.4682967126804751057079995692972 y[1] (numeric) = 1.4682967126804751057079995692979 absolute error = 7e-31 relative error = 4.7674287761776881235535509768810e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.92 Order of pole = 2.093 TOP MAIN SOLVE Loop x[1] = 1.367 y[1] (analytic) = 1.4692966382681170056393870748403 y[1] (numeric) = 1.469296638268117005639387074841 absolute error = 7e-31 relative error = 4.7641843162800738449691164307433e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.921 Order of pole = 2.098 TOP MAIN SOLVE Loop x[1] = 1.368 y[1] (analytic) = 1.4702965643008798437155875176882 y[1] (numeric) = 1.4702965643008798437155875176889 absolute error = 7e-31 relative error = 4.7609442679535010004413833324650e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.922 Order of pole = 2.104 TOP MAIN SOLVE Loop x[1] = 1.369 y[1] (analytic) = 1.4712964907761010868505507726929 y[1] (numeric) = 1.4712964907761010868505507726936 absolute error = 7e-31 relative error = 4.7577086222149127585975344356219e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.924 Order of pole = 2.109 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = 1.4722964176911341269846704809918 y[1] (numeric) = 1.4722964176911341269846704809924 absolute error = 6e-31 relative error = 4.0752663172333485150421964867439e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.925 Order of pole = 2.114 TOP MAIN SOLVE Loop x[1] = 1.371 y[1] (analytic) = 1.4732963450433481858486393743112 y[1] (numeric) = 1.4732963450433481858486393743119 absolute error = 7e-31 relative error = 4.7512505026909857094608552088918e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.926 Order of pole = 2.119 TOP MAIN SOLVE Loop x[1] = 1.372 y[1] (analytic) = 1.4742962728301282202966774529944 y[1] (numeric) = 1.4742962728301282202966774529951 absolute error = 7e-31 relative error = 4.7480280110608106843665111416372e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.927 Order of pole = 2.124 TOP MAIN SOLVE Loop x[1] = 1.373 y[1] (analytic) = 1.4752962010488748282057309824935 y[1] (numeric) = 1.4752962010488748282057309824942 absolute error = 7e-31 relative error = 4.7448098863287849217045646590419e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.929 Order of pole = 2.128 TOP MAIN SOLVE Loop x[1] = 1.374 y[1] (analytic) = 1.4762961296970041549372605767821 y[1] (numeric) = 1.4762961296970041549372605767828 absolute error = 7e-31 relative error = 4.7415961196326403180466902317394e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.93 Order of pole = 2.133 TOP MAIN SOLVE Loop x[1] = 1.375 y[1] (analytic) = 1.4772960587719478003582568199617 y[1] (numeric) = 1.4772960587719478003582568199623 absolute error = 6e-31 relative error = 4.0614743161148771138625519786204e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.931 Order of pole = 2.137 TOP MAIN SOLVE Loop x[1] = 1.376 y[1] (analytic) = 1.4782959882711527264181419399777 y[1] (numeric) = 1.4782959882711527264181419399783 absolute error = 6e-31 relative error = 4.0587271071586410062737154301647e-29 % Correct digits = 30 h = 0.001 memory used=80.1MB, alloc=4.3MB, time=8.11 Complex estimate of poles used for equation 1 Radius of convergence = 1.932 Order of pole = 2.142 TOP MAIN SOLVE Loop x[1] = 1.377 y[1] (analytic) = 1.479295918192081165278235991543 y[1] (numeric) = 1.4792959181920811652782359915436 absolute error = 6e-31 relative error = 4.0559836109957561186554343841468e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.934 Order of pole = 2.146 TOP MAIN SOLVE Loop x[1] = 1.378 y[1] (analytic) = 1.4802958485322105279904858297866 y[1] (numeric) = 1.4802958485322105279904858297872 absolute error = 6e-31 relative error = 4.0532438201115733767999096393085e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.935 Order of pole = 2.15 TOP MAIN SOLVE Loop x[1] = 1.379 y[1] (analytic) = 1.4812957792890333137221748625199 y[1] (numeric) = 1.4812957792890333137221748625205 absolute error = 6e-31 relative error = 4.0505077270116681601673173343457e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.936 Order of pole = 2.154 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = 1.4822957104600570195233511580307 y[1] (numeric) = 1.4822957104600570195233511580313 absolute error = 6e-31 relative error = 4.0477753242217725561914801193906e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.937 Order of pole = 2.158 TOP MAIN SOLVE Loop x[1] = 1.381 y[1] (analytic) = 1.4832956420428040506337309576788 y[1] (numeric) = 1.4832956420428040506337309576794 absolute error = 6e-31 relative error = 4.0450466042877078852324083609116e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.938 Order of pole = 2.161 TOP MAIN SOLVE Loop x[1] = 1.382 y[1] (analytic) = 1.4842955740348116313258539989649 y[1] (numeric) = 1.4842955740348116313258539989655 absolute error = 6e-31 relative error = 4.0423215597753174949240605625521e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.94 Order of pole = 2.165 TOP MAIN SOLVE Loop x[1] = 1.383 y[1] (analytic) = 1.4852955064336317162812862958656 y[1] (numeric) = 1.4852955064336317162812862958662 absolute error = 6e-31 relative error = 4.0396001832703998226722284720617e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.941 Order of pole = 2.168 TOP MAIN SOLVE Loop x[1] = 1.384 y[1] (analytic) = 1.4862954392368309024966851497538 y[1] (numeric) = 1.4862954392368309024966851497544 absolute error = 6e-31 relative error = 4.0368824673786417250639703617296e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.942 Order of pole = 2.171 TOP MAIN SOLVE Loop x[1] = 1.385 y[1] (analytic) = 1.4872953724419903417165601768373 y[1] (numeric) = 1.4872953724419903417165601768379 absolute error = 6e-31 relative error = 4.0341684047255520729564959625109e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.943 Order of pole = 2.174 TOP MAIN SOLVE Loop x[1] = 1.386 y[1] (analytic) = 1.4882953060467056533895830374199 y[1] (numeric) = 1.4882953060467056533895830374205 absolute error = 6e-31 relative error = 4.0314579879563956110198487445086e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.944 Order of pole = 2.177 TOP MAIN SOLVE Loop x[1] = 1.387 y[1] (analytic) = 1.4892952400485868381453173390984 y[1] (numeric) = 1.489295240048586838145317339099 absolute error = 6e-31 relative error = 4.0287512097361270805141359110926e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.945 Order of pole = 2.18 TOP MAIN SOLVE Loop x[1] = 1.388 y[1] (analytic) = 1.4902951744452581917882588609113 y[1] (numeric) = 1.4902951744452581917882588609119 absolute error = 6e-31 relative error = 4.0260480627493256040884238514864e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.947 Order of pole = 2.182 TOP MAIN SOLVE Loop x[1] = 1.389 y[1] (analytic) = 1.4912951092343582198060948091287 y[1] (numeric) = 1.4912951092343582198060948091292 absolute error = 5e-31 relative error = 3.3527904497501077761622892634866e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.948 Order of pole = 2.184 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.3MB, time=8.51 x[1] = 1.39 y[1] (analytic) = 1.4922950444135395523891092684625 y[1] (numeric) = 1.4922950444135395523891092684631 absolute error = 6e-31 relative error = 4.0206526333121703443169724785158e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.949 Order of pole = 2.187 TOP MAIN SOLVE Loop x[1] = 1.391 y[1] (analytic) = 1.4932949799804688599576803556525 y[1] (numeric) = 1.4932949799804688599576803556531 absolute error = 6e-31 relative error = 4.0179603363285098206205165597849e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.95 Order of pole = 2.189 TOP MAIN SOLVE Loop x[1] = 1.392 y[1] (analytic) = 1.4942949159328267691948328162831 y[1] (numeric) = 1.4942949159328267691948328162837 absolute error = 6e-31 relative error = 4.0152716415115734548351360587763e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.951 Order of pole = 2.191 TOP MAIN SOLVE Loop x[1] = 1.393 y[1] (analytic) = 1.4952948522683077795808279309738 y[1] (numeric) = 1.4952948522683077795808279309744 absolute error = 6e-31 relative error = 4.0125865416430871351891940715503e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.952 Order of pole = 2.192 TOP MAIN SOLVE Loop x[1] = 1.394 y[1] (analytic) = 1.4962947889846201804267906143887 y[1] (numeric) = 1.4962947889846201804267906143893 absolute error = 6e-31 relative error = 4.0099050295240128754199545451406e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.953 Order of pole = 2.194 TOP MAIN SOLVE Loop x[1] = 1.395 y[1] (analytic) = 1.497294726079485968404391500486 y[1] (numeric) = 1.4972947260794859684043915004865 absolute error = 5e-31 relative error = 3.3393559149787375002421415069222e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.954 Order of pole = 2.196 TOP MAIN SOLVE Loop x[1] = 1.396 y[1] (analytic) = 1.4982946635506407655686196106968 y[1] (numeric) = 1.4982946635506407655686196106974 absolute error = 6e-31 relative error = 4.0045527398337465836505035915111e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.955 Order of pole = 2.197 TOP MAIN SOLVE Loop x[1] = 1.397 y[1] (analytic) = 1.4992946013958337378706988989337 y[1] (numeric) = 1.4992946013958337378706988989343 absolute error = 6e-31 relative error = 4.0018819479600861378821742128375e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.956 Order of pole = 2.198 TOP MAIN SOLVE Loop x[1] = 1.398 y[1] (analytic) = 1.5002945396128275141582195590943 y[1] (numeric) = 1.5002945396128275141582195590949 absolute error = 6e-31 relative error = 3.9992147152307745535826098911544e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.957 Order of pole = 2.199 TOP MAIN SOLVE Loop x[1] = 1.399 y[1] (analytic) = 1.5012944781993981056595724676893 y[1] (numeric) = 1.50129447819939810565957246769 absolute error = 7e-31 relative error = 4.6626428736323360030573607879156e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.958 Order of pole = 2.2 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 1.5022944171533348259497925169919 y[1] (numeric) = 1.5022944171533348259497925169926 absolute error = 7e-31 relative error = 4.6595393819436196040016777154506e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.959 Order of pole = 2.201 TOP MAIN SOLVE Loop x[1] = 1.401 y[1] (analytic) = 1.5032943564724402113949338733042 y[1] (numeric) = 1.5032943564724402113949338733049 absolute error = 7e-31 relative error = 4.6564400177925702886402963695867e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.96 Order of pole = 2.201 TOP MAIN SOLVE Loop x[1] = 1.402 y[1] (analytic) = 1.5042942961545299420721173711825 y[1] (numeric) = 1.5042942961545299420721173711832 absolute error = 7e-31 relative error = 4.6533447729571919494889416022429e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.961 Order of pole = 2.201 TOP MAIN SOLVE Loop x[1] = 1.403 y[1] (analytic) = 1.5052942361974327631624073283593 y[1] (numeric) = 1.50529423619743276316240732836 absolute error = 7e-31 relative error = 4.6502536392372710677139303752570e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.962 Order of pole = 2.202 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.3MB, time=8.90 x[1] = 1.404 y[1] (analytic) = 1.5062941765989904068136920382608 y[1] (numeric) = 1.5062941765989904068136920382615 absolute error = 7e-31 relative error = 4.6471666084543048665886566009956e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.963 Order of pole = 2.202 TOP MAIN SOLVE Loop x[1] = 1.405 y[1] (analytic) = 1.5072941173570575144707590680467 y[1] (numeric) = 1.5072941173570575144707590680474 absolute error = 7e-31 relative error = 4.6440836724514297476822552389573e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.964 Order of pole = 2.202 TOP MAIN SOLVE Loop x[1] = 1.406 y[1] (analytic) = 1.5082940584695015596697732605911 y[1] (numeric) = 1.5082940584695015596697732605918 absolute error = 7e-31 relative error = 4.6410048230933500084919992674917e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.965 Order of pole = 2.201 TOP MAIN SOLVE Loop x[1] = 1.407 y[1] (analytic) = 1.5092939999342027712943820093809 y[1] (numeric) = 1.5092939999342027712943820093815 absolute error = 6e-31 relative error = 3.9753686162282287202036878700191e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.966 Order of pole = 2.201 TOP MAIN SOLVE Loop x[1] = 1.408 y[1] (analytic) = 1.5102939417490540572906889465193 y[1] (numeric) = 1.5102939417490540572906889465199 absolute error = 6e-31 relative error = 3.9727365873238350896078420670579e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.967 Order of pole = 2.2 TOP MAIN SOLVE Loop x[1] = 1.409 y[1] (analytic) = 1.5112938839119609288383536564849 y[1] (numeric) = 1.5112938839119609288383536564856 absolute error = 7e-31 relative error = 4.6317927138569553877326797514780e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.968 Order of pole = 2.199 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = 1.5122938264208414249750914025838 y[1] (numeric) = 1.5122938264208414249750914025845 absolute error = 7e-31 relative error = 4.6287301301539788314925377831273e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.969 Order of pole = 2.199 TOP MAIN SOLVE Loop x[1] = 1.411 y[1] (analytic) = 1.5132937692736260376718631297421 y[1] (numeric) = 1.5132937692736260376718631297428 absolute error = 7e-31 relative error = 4.6256715927403622386204106000282e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.97 Order of pole = 2.197 TOP MAIN SOLVE Loop x[1] = 1.412 y[1] (analytic) = 1.5142937124682576373560621869884 y[1] (numeric) = 1.514293712468257637356062186989 absolute error = 6e-31 relative error = 3.9622432230932022451165724041150e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.971 Order of pole = 2.196 TOP MAIN SOLVE Loop x[1] = 1.413 y[1] (analytic) = 1.515293656002691398880020296245 y[1] (numeric) = 1.5152936560026913988800202962456 absolute error = 6e-31 relative error = 3.9596285355195488657112191330747e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.971 Order of pole = 2.195 TOP MAIN SOLVE Loop x[1] = 1.414 y[1] (analytic) = 1.5162935998748947279321712814658 y[1] (numeric) = 1.5162935998748947279321712814664 absolute error = 6e-31 relative error = 3.9570172956576771974440553841661e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.972 Order of pole = 2.193 TOP MAIN SOLVE Loop x[1] = 1.415 y[1] (analytic) = 1.5172935440828471878882269642831 y[1] (numeric) = 1.5172935440828471878882269642838 absolute error = 7e-31 relative error = 4.6134777461478385769410063175764e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.973 Order of pole = 2.192 TOP MAIN SOLVE Loop x[1] = 1.416 y[1] (analytic) = 1.5182934886245404270997354297353 y[1] (numeric) = 1.5182934886245404270997354297359 absolute error = 6e-31 relative error = 3.9518051318494082450677311288533e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.974 Order of pole = 2.19 TOP MAIN SOLVE Loop x[1] = 1.417 y[1] (analytic) = 1.5192934334979781066174075688902 y[1] (numeric) = 1.5192934334979781066174075688909 absolute error = 7e-31 relative error = 4.6074048933940289300045061852143e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.975 Order of pole = 2.188 memory used=91.5MB, alloc=4.3MB, time=9.28 TOP MAIN SOLVE Loop x[1] = 1.418 y[1] (analytic) = 1.520293378701175828346613414831 y[1] (numeric) = 1.5202933787011758283466134148317 absolute error = 7e-31 relative error = 4.6043744569750562487239397853653e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.976 Order of pole = 2.185 TOP MAIN SOLVE Loop x[1] = 1.419 y[1] (analytic) = 1.5212933242321610636324653050681 y[1] (numeric) = 1.5212933242321610636324653050688 absolute error = 7e-31 relative error = 4.6013480033727842438056040900701e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.976 Order of pole = 2.183 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = 1.5222932700889730822719203275571 y[1] (numeric) = 1.5222932700889730822719203275577 absolute error = 6e-31 relative error = 3.9414218783541751760807871263948e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.977 Order of pole = 2.18 TOP MAIN SOLVE Loop x[1] = 1.421 y[1] (analytic) = 1.5232932162696628819503498396682 y[1] (numeric) = 1.5232932162696628819503498396689 absolute error = 7e-31 relative error = 4.5953070132761730013201165969851e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.978 Order of pole = 2.178 TOP MAIN SOLVE Loop x[1] = 1.422 y[1] (analytic) = 1.5242931627722931181000390902284 y[1] (numeric) = 1.5242931627722931181000390902291 absolute error = 7e-31 relative error = 4.5922924611620111275824825639749e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.979 Order of pole = 2.175 TOP MAIN SOLVE Loop x[1] = 1.423 y[1] (analytic) = 1.5252931095949380341780951246738 y[1] (numeric) = 1.5252931095949380341780951246744 absolute error = 6e-31 relative error = 3.9336701662498037314520648873135e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.98 Order of pole = 2.172 TOP MAIN SOLVE Loop x[1] = 1.424 y[1] (analytic) = 1.5262930567356833923612562129597 y[1] (numeric) = 1.5262930567356833923612562129603 absolute error = 6e-31 relative error = 3.9310930319190026784673598480584e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.98 Order of pole = 2.169 TOP MAIN SOLVE Loop x[1] = 1.425 y[1] (analytic) = 1.5272930041926264046551110097039 y[1] (numeric) = 1.5272930041926264046551110097045 absolute error = 6e-31 relative error = 3.9285192713704484808453912951720e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.981 Order of pole = 2.165 TOP MAIN SOLVE Loop x[1] = 1.426 y[1] (analytic) = 1.5282929519638756644152505366231 y[1] (numeric) = 1.5282929519638756644152505366237 absolute error = 6e-31 relative error = 3.9259488779882970334845984866950e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.982 Order of pole = 2.162 TOP MAIN SOLVE Loop x[1] = 1.427 y[1] (analytic) = 1.5292929000475510782778908691974 y[1] (numeric) = 1.529292900047551078277890869198 absolute error = 6e-31 relative error = 3.9233818451739617458278116836261e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.983 Order of pole = 2.158 TOP MAIN SOLVE Loop x[1] = 1.428 y[1] (analytic) = 1.5302928484417837984975191131819 y[1] (numeric) = 1.5302928484417837984975191131825 absolute error = 6e-31 relative error = 3.9208181663460574817072927771646e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.983 Order of pole = 2.155 TOP MAIN SOLVE Loop x[1] = 1.429 y[1] (analytic) = 1.5312927971447161556891298726101 y[1] (numeric) = 1.5312927971447161556891298726107 absolute error = 6e-31 relative error = 3.9182578349403447165360238650704e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.984 Order of pole = 2.151 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = 1.5322927461545015919726339398146 y[1] (numeric) = 1.5322927461545015919726339398152 absolute error = 6e-31 relative error = 3.9157008444096739108690646934290e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.985 Order of pole = 2.146 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=9.67 x[1] = 1.431 y[1] (analytic) = 1.5332926954693045945170353802498 y[1] (numeric) = 1.5332926954693045945170353802503 absolute error = 5e-31 relative error = 3.2609559901866084161364742774465e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.985 Order of pole = 2.142 TOP MAIN SOLVE Loop x[1] = 1.432 y[1] (analytic) = 1.5342926450873006294819875410516 y[1] (numeric) = 1.5342926450873006294819875410521 absolute error = 5e-31 relative error = 3.2588307165583147451438265897388e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.986 Order of pole = 2.138 TOP MAIN SOLVE Loop x[1] = 1.433 y[1] (analytic) = 1.5352925950066760763543527828219 y[1] (numeric) = 1.5352925950066760763543527828224 absolute error = 5e-31 relative error = 3.2567082107096712515059415130482e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.987 Order of pole = 2.133 TOP MAIN SOLVE Loop x[1] = 1.434 y[1] (analytic) = 1.5362925452256281626774049195884 y[1] (numeric) = 1.5362925452256281626774049195889 absolute error = 5e-31 relative error = 3.2545884672412266270974390405297e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.987 Order of pole = 2.128 TOP MAIN SOLVE Loop x[1] = 1.435 y[1] (analytic) = 1.5372924957423648991703274527723 y[1] (numeric) = 1.5372924957423648991703274527729 absolute error = 6e-31 relative error = 3.9029657769210505412314301091702e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.988 Order of pole = 2.124 TOP MAIN SOLVE Loop x[1] = 1.436 y[1] (analytic) = 1.5382924465551050152356747017989 y[1] (numeric) = 1.5382924465551050152356747017995 absolute error = 6e-31 relative error = 3.9004286951005754791183134058956e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.989 Order of pole = 2.119 TOP MAIN SOLVE Loop x[1] = 1.437 y[1] (analytic) = 1.5392923976620778948524768672036 y[1] (numeric) = 1.5392923976620778948524768672042 absolute error = 6e-31 relative error = 3.8978949087989875548161880577607e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.989 Order of pole = 2.113 TOP MAIN SOLVE Loop x[1] = 1.438 y[1] (analytic) = 1.5402923490615235128526839122264 y[1] (numeric) = 1.540292349061523512852683912227 absolute error = 6e-31 relative error = 3.8953644116038802044044959227178e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.99 Order of pole = 2.108 TOP MAIN SOLVE Loop x[1] = 1.439 y[1] (analytic) = 1.5412923007516923715786569164329 y[1] (numeric) = 1.5412923007516923715786569164334 absolute error = 5e-31 relative error = 3.2440309975995381576484401303300e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.991 Order of pole = 2.102 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = 1.5422922527308454379194292403485 y[1] (numeric) = 1.542292252730845437919429240349 absolute error = 5e-31 relative error = 3.2419277158053517335825290577440e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.991 Order of pole = 2.097 TOP MAIN SOLVE Loop x[1] = 1.441 y[1] (analytic) = 1.5432922049972540807234734439317 y[1] (numeric) = 1.5432922049972540807234734439322 absolute error = 5e-31 relative error = 3.2398271589850324578348215449402e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.992 Order of pole = 2.091 TOP MAIN SOLVE Loop x[1] = 1.442 y[1] (analytic) = 1.5442921575492000085857234244215 y[1] (numeric) = 1.5442921575492000085857234244221 absolute error = 6e-31 relative error = 3.8852751862199652642347110620144e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.992 Order of pole = 2.085 TOP MAIN SOLVE Loop x[1] = 1.443 y[1] (analytic) = 1.5452921103849752080066146811655 y[1] (numeric) = 1.5452921103849752080066146811661 absolute error = 6e-31 relative error = 3.8827610389502559884228916906132e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.993 Order of pole = 2.079 TOP MAIN SOLVE Loop x[1] = 1.444 y[1] (analytic) = 1.5462920635028818819209189769368 y[1] (numeric) = 1.5462920635028818819209189769374 absolute error = 6e-31 relative error = 3.8802501426592994844438887490324e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.994 Order of pole = 2.073 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=10.06 x[1] = 1.445 y[1] (analytic) = 1.5472920169012323885941629474674 y[1] (numeric) = 1.547292016901232388594162947468 absolute error = 6e-31 relative error = 3.8777424910497650189116859872465e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.994 Order of pole = 2.066 TOP MAIN SOLVE Loop x[1] = 1.446 y[1] (analytic) = 1.5482919705783491808844334139278 y[1] (numeric) = 1.5482919705783491808844334139284 absolute error = 6e-31 relative error = 3.8752380778405504692688882332589e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.995 Order of pole = 2.06 TOP MAIN SOLVE Loop x[1] = 1.447 y[1] (analytic) = 1.549291924532564745867385277344 y[1] (numeric) = 1.5492919245325647458673852773446 absolute error = 6e-31 relative error = 3.8727368967667302309917546712557e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.995 Order of pole = 2.053 TOP MAIN SOLVE Loop x[1] = 1.448 y[1] (analytic) = 1.5502918787622215448222809199298 y[1] (numeric) = 1.5502918787622215448222809199304 absolute error = 6e-31 relative error = 3.8702389415795033244171595537956e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.996 Order of pole = 2.046 TOP MAIN SOLVE Loop x[1] = 1.449 y[1] (analytic) = 1.5512918332656719535769030064889 y[1] (numeric) = 1.5512918332656719535769030064894 absolute error = 5e-31 relative error = 3.2231201717051180835875503647456e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.996 Order of pole = 2.039 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = 1.5522917880412782032091954698736 y[1] (numeric) = 1.5522917880412782032091954698741 absolute error = 5e-31 relative error = 3.2210439032916156193787636847517e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.997 Order of pole = 2.032 TOP MAIN SOLVE Loop x[1] = 1.451 y[1] (analytic) = 1.5532917430874123211035002784322 y[1] (numeric) = 1.5532917430874123211035002784328 absolute error = 6e-31 relative error = 3.8627643690901579720957362004619e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.997 Order of pole = 2.025 TOP MAIN SOLVE Loop x[1] = 1.452 y[1] (analytic) = 1.5542916984024560723592703208909 y[1] (numeric) = 1.5542916984024560723592703208915 absolute error = 6e-31 relative error = 3.8602792552819819363850481885118e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.998 Order of pole = 2.018 TOP MAIN SOLVE Loop x[1] = 1.453 y[1] (analytic) = 1.555291653984800901550151405659 y[1] (numeric) = 1.5552916539848009015501514056596 absolute error = 6e-31 relative error = 3.8577973363564613081340726640123e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.998 Order of pole = 2.01 TOP MAIN SOLVE Loop x[1] = 1.454 y[1] (analytic) = 1.5562916098328478748313389575648 y[1] (numeric) = 1.5562916098328478748313389575654 absolute error = 6e-31 relative error = 3.8553186061604641679087389873464e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.999 Order of pole = 2.002 TOP MAIN SOLVE Loop x[1] = 1.455 y[1] (analytic) = 1.5572915659450076223931275059734 y[1] (numeric) = 1.5572915659450076223931275059739 absolute error = 5e-31 relative error = 3.2107025487971879036984413470497e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.999 Order of pole = 1.994 TOP MAIN SOLVE Loop x[1] = 1.456 y[1] (analytic) = 1.5582915223197002812585834945552 y[1] (numeric) = 1.5582915223197002812585834945557 absolute error = 5e-31 relative error = 3.2086422395194139890645391829760e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2 Order of pole = 1.987 TOP MAIN SOLVE Loop x[1] = 1.457 y[1] (analytic) = 1.5592914789553554384232843051111 y[1] (numeric) = 1.5592914789553554384232843051117 absolute error = 6e-31 relative error = 3.8479014866544960288736898264197e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2 Order of pole = 1.978 TOP MAIN SOLVE Loop x[1] = 1.458 y[1] (analytic) = 1.560291435850412074335078676249 y[1] (numeric) = 1.5602914358504120743350786762496 absolute error = 6e-31 relative error = 3.8454354501598576435868908102620e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.001 Order of pole = 1.97 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.4MB, time=10.45 x[1] = 1.459 y[1] (analytic) = 1.5612913930033185067118359127991 y[1] (numeric) = 1.5612913930033185067118359127996 absolute error = 5e-31 relative error = 3.2024771432204856573533430851114e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.001 Order of pole = 1.962 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = 1.5622913504125323346951634240755 y[1] (numeric) = 1.5622913504125323346951634240761 absolute error = 6e-31 relative error = 3.8405128457093897814468085531644e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.002 Order of pole = 1.953 TOP MAIN SOLVE Loop x[1] = 1.461 y[1] (analytic) = 1.563291308076520383338084198882 y[1] (numeric) = 1.5632913080765203833380841988826 absolute error = 6e-31 relative error = 3.8380562656504647202191765257639e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.002 Order of pole = 1.945 TOP MAIN SOLVE Loop x[1] = 1.462 y[1] (analytic) = 1.5642912659937586484246778229413 y[1] (numeric) = 1.5642912659937586484246778229419 absolute error = 6e-31 relative error = 3.8356028256594122962636547550637e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.003 Order of pole = 1.936 TOP MAIN SOLVE Loop x[1] = 1.463 y[1] (analytic) = 1.5652912241627322416197005706434 y[1] (numeric) = 1.565291224162732241619700570644 absolute error = 6e-31 relative error = 3.8331525197232067903009204218679e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.003 Order of pole = 1.927 TOP MAIN SOLVE Loop x[1] = 1.464 y[1] (analytic) = 1.5662911825819353359462119580655 y[1] (numeric) = 1.5662911825819353359462119580661 absolute error = 6e-31 relative error = 3.8307053418441432558502265604535e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.003 Order of pole = 1.918 TOP MAIN SOLVE Loop x[1] = 1.465 y[1] (analytic) = 1.5672911412498711115892469285565 y[1] (numeric) = 1.5672911412498711115892469285571 absolute error = 6e-31 relative error = 3.8282612860397888875728405306835e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.004 Order of pole = 1.909 TOP MAIN SOLVE Loop x[1] = 1.466 y[1] (analytic) = 1.5682911001650517020235845562086 y[1] (numeric) = 1.5682911001650517020235845562093 absolute error = 7e-31 relative error = 4.4634570707334236696020562642201e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.004 Order of pole = 1.9 TOP MAIN SOLVE Loop x[1] = 1.467 y[1] (analytic) = 1.5692910593259981404636757966858 y[1] (numeric) = 1.5692910593259981404636757966864 absolute error = 6e-31 relative error = 3.8233825168015466334479173973680e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.005 Order of pole = 1.891 TOP MAIN SOLVE Loop x[1] = 1.468 y[1] (analytic) = 1.5702910187312403066338043895524 y[1] (numeric) = 1.570291018731240306633804389553 absolute error = 6e-31 relative error = 3.8209477914787187334770477801679e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.005 Order of pole = 1.881 TOP MAIN SOLVE Loop x[1] = 1.469 y[1] (analytic) = 1.5712909783793168738565665218657 y[1] (numeric) = 1.5712909783793168738565665218664 absolute error = 7e-31 relative error = 4.4549355251947279896814722466487e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.005 Order of pole = 1.872 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = 1.5722909382687752564577662997653 y[1] (numeric) = 1.572290938268775256457766299766 absolute error = 7e-31 relative error = 4.4521022347858784644787102654726e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.006 Order of pole = 1.862 TOP MAIN SOLVE Loop x[1] = 1.471 y[1] (analytic) = 1.5732908983981715574858354435272 y[1] (numeric) = 1.5732908983981715574858354435279 absolute error = 7e-31 relative error = 4.4492725452915104965936896599743e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.006 Order of pole = 1.852 TOP MAIN SOLVE Loop x[1] = 1.472 y[1] (analytic) = 1.5742908587660705167438969224543 y[1] (numeric) = 1.574290858766070516743896922455 absolute error = 7e-31 relative error = 4.4464464498552709441480518542092e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.006 Order of pole = 1.842 memory used=106.8MB, alloc=4.4MB, time=10.84 TOP MAIN SOLVE Loop x[1] = 1.473 y[1] (analytic) = 1.5752908193710454591326034794472 y[1] (numeric) = 1.5752908193710454591326034794479 absolute error = 7e-31 relative error = 4.4436239416381779308536889668159e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.007 Order of pole = 1.832 TOP MAIN SOLVE Loop x[1] = 1.474 y[1] (analytic) = 1.5762907802116782433018931615475 y[1] (numeric) = 1.5762907802116782433018931615482 absolute error = 7e-31 relative error = 4.4408050138185660109162387923071e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.007 Order of pole = 1.822 TOP MAIN SOLVE Loop x[1] = 1.475 y[1] (analytic) = 1.5772907412865592106098150725672 y[1] (numeric) = 1.5772907412865592106098150725679 absolute error = 7e-31 relative error = 4.4379896595920315406535348026231e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.007 Order of pole = 1.812 TOP MAIN SOLVE Loop x[1] = 1.476 y[1] (analytic) = 1.5782907025942871343865895975032 y[1] (numeric) = 1.5782907025942871343865895975039 absolute error = 7e-31 relative error = 4.4351778721713782559256689018993e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.008 Order of pole = 1.801 TOP MAIN SOLVE Loop x[1] = 1.477 y[1] (analytic) = 1.579290664133469169502078316191 y[1] (numeric) = 1.5792906641334691695020783161917 absolute error = 7e-31 relative error = 4.4323696447865630544778016611907e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.008 Order of pole = 1.791 TOP MAIN SOLVE Loop x[1] = 1.478 y[1] (analytic) = 1.5802906259027208022348497259548 y[1] (numeric) = 1.5802906259027208022348497259555 absolute error = 7e-31 relative error = 4.4295649706846419823013070024318e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.008 Order of pole = 1.78 TOP MAIN SOLVE Loop x[1] = 1.479 y[1] (analytic) = 1.5812905879006658004410377302635 y[1] (numeric) = 1.5812905879006658004410377302642 absolute error = 7e-31 relative error = 4.4267638431297164231232659429017e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.009 Order of pole = 1.77 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = 1.5822905501259361640212006229834 y[1] (numeric) = 1.5822905501259361640212006229841 absolute error = 7e-31 relative error = 4.4239662554028794901387272026529e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.009 Order of pole = 1.759 TOP MAIN SOLVE Loop x[1] = 1.481 y[1] (analytic) = 1.5832905125771720756833990061178 y[1] (numeric) = 1.5832905125771720756833990061185 absolute error = 7e-31 relative error = 4.4211722008021626191045313664711e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.009 Order of pole = 1.748 TOP MAIN SOLVE Loop x[1] = 1.482 y[1] (analytic) = 1.5842904752530218520007217233198 y[1] (numeric) = 1.5842904752530218520007217233206 absolute error = 8e-31 relative error = 5.0495790544485512707632571734017e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.01 Order of pole = 1.737 TOP MAIN SOLVE Loop x[1] = 1.483 y[1] (analytic) = 1.5852904381521418947614994723438 y[1] (numeric) = 1.5852904381521418947614994723446 absolute error = 8e-31 relative error = 5.0463939020063855769221966408000e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.01 Order of pole = 1.726 TOP MAIN SOLVE Loop x[1] = 1.484 y[1] (analytic) = 1.5862904012731966426104562773334 y[1] (numeric) = 1.5862904012731966426104562773342 absolute error = 8e-31 relative error = 5.0432127645600064403037440702240e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.01 Order of pole = 1.715 TOP MAIN SOLVE Loop x[1] = 1.485 y[1] (analytic) = 1.5872903646148585229790594568148 y[1] (numeric) = 1.5872903646148585229790594568157 absolute error = 9e-31 relative error = 5.6700400888427037195458714011419e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.01 Order of pole = 1.703 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.4MB, time=11.23 x[1] = 1.486 y[1] (analytic) = 1.5882903281758079043033391158385 y[1] (numeric) = 1.5882903281758079043033391158393 absolute error = 8e-31 relative error = 5.0368625043433997155508199890689e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.011 Order of pole = 1.692 TOP MAIN SOLVE Loop x[1] = 1.487 y[1] (analytic) = 1.5892902919547330485274585212654 y[1] (numeric) = 1.5892902919547330485274585212662 absolute error = 8e-31 relative error = 5.0336933664651491832981207552572e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.011 Order of pole = 1.681 TOP MAIN SOLVE Loop x[1] = 1.488 y[1] (analytic) = 1.5902902559503300638913269880997 y[1] (numeric) = 1.5902902559503300638913269881005 absolute error = 8e-31 relative error = 5.0305282133665201901047125920271e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.011 Order of pole = 1.669 TOP MAIN SOLVE Loop x[1] = 1.489 y[1] (analytic) = 1.5912902201613028580005571123825 y[1] (numeric) = 1.5912902201613028580005571123833 absolute error = 8e-31 relative error = 5.0273670375408147287091807075787e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.012 Order of pole = 1.658 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = 1.5922901845863630911770783328623 y[1] (numeric) = 1.5922901845863630911770783328632 absolute error = 9e-31 relative error = 5.6522360604376729559360360499363e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.012 Order of pole = 1.646 TOP MAIN SOLVE Loop x[1] = 1.491 y[1] (analytic) = 1.5932901492242301300887288897955 y[1] (numeric) = 1.5932901492242301300887288897964 absolute error = 9e-31 relative error = 5.6486886612473456061377932104869e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.012 Order of pole = 1.634 TOP MAIN SOLVE Loop x[1] = 1.492 y[1] (analytic) = 1.5942901140736310016561582751726 y[1] (numeric) = 1.5942901140736310016561582751735 absolute error = 9e-31 relative error = 5.6451457112807150397869398609423e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.012 Order of pole = 1.622 TOP MAIN SOLVE Loop x[1] = 1.493 y[1] (analytic) = 1.5952900791333003472353822347733 y[1] (numeric) = 1.5952900791333003472353822347742 absolute error = 9e-31 relative error = 5.6416072021770354161302145931774e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.013 Order of pole = 1.61 TOP MAIN SOLVE Loop x[1] = 1.494 y[1] (analytic) = 1.5962900444019803770743422890727 y[1] (numeric) = 1.5962900444019803770743422890736 absolute error = 9e-31 relative error = 5.6380731255964691332748898143358e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.013 Order of pole = 1.598 TOP MAIN SOLVE Loop x[1] = 1.495 y[1] (analytic) = 1.5972900098784208250418315875179 y[1] (numeric) = 1.5972900098784208250418315875188 absolute error = 9e-31 relative error = 5.6345434732200216707922833185400e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.013 Order of pole = 1.586 TOP MAIN SOLVE Loop x[1] = 1.496 y[1] (analytic) = 1.5982899755613789036271586994129 y[1] (numeric) = 1.5982899755613789036271586994138 absolute error = 9e-31 relative error = 5.6310182367494766748749972136342e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.013 Order of pole = 1.574 TOP MAIN SOLVE Loop x[1] = 1.497 y[1] (analytic) = 1.5992899414496192592089306749416 y[1] (numeric) = 1.5992899414496192592089306749425 absolute error = 9e-31 relative error = 5.6274974079073312850008903640720e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.013 Order of pole = 1.562 TOP MAIN SOLVE Loop x[1] = 1.498 y[1] (analytic) = 1.6002899075419139275913463820772 y[1] (numeric) = 1.600289907541913927591346382078 absolute error = 8e-31 relative error = 4.9990942030548726231661488005971e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.014 Order of pole = 1.55 TOP MAIN SOLVE Loop x[1] = 1.499 y[1] (analytic) = 1.601289873837042289806400739606 y[1] (numeric) = 1.6012898738370422898064007396068 absolute error = 8e-31 relative error = 4.9959723912012524354853922007028e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.014 Order of pole = 1.537 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=11.62 x[1] = 1.5 y[1] (analytic) = 1.6022898403337910281804100235941 y[1] (numeric) = 1.6022898403337910281804100235948 absolute error = 7e-31 relative error = 4.3687476658665895458399865377442e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.014 Order of pole = 1.525 TOP MAIN SOLVE Loop x[1] = 1.501 y[1] (analytic) = 1.6032898070309540826632779246694 y[1] (numeric) = 1.6032898070309540826632779246701 absolute error = 7e-31 relative error = 4.3660228919953794520016001560969e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.014 Order of pole = 1.512 TOP MAIN SOLVE Loop x[1] = 1.502 y[1] (analytic) = 1.6042897739273326074189314768401 y[1] (numeric) = 1.6042897739273326074189314768408 absolute error = 7e-31 relative error = 4.3633015143292122886094838708735e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.015 Order of pole = 1.5 TOP MAIN SOLVE Loop x[1] = 1.503 y[1] (analytic) = 1.6052897410217349276753653655398 y[1] (numeric) = 1.6052897410217349276753653655404 absolute error = 6e-31 relative error = 3.7376430227362691401044051172815e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.015 Order of pole = 1.487 TOP MAIN SOLVE Loop x[1] = 1.504 y[1] (analytic) = 1.6062897083129764968327424535339 y[1] (numeric) = 1.6062897083129764968327424535345 absolute error = 6e-31 relative error = 3.7353162190782920805406488989143e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.015 Order of pole = 1.474 TOP MAIN SOLVE Loop x[1] = 1.505 y[1] (analytic) = 1.6072896757998798538280076385639 y[1] (numeric) = 1.6072896757998798538280076385646 absolute error = 7e-31 relative error = 4.3551576952153301795790102700829e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.015 Order of pole = 1.462 TOP MAIN SOLVE Loop x[1] = 1.506 y[1] (analytic) = 1.6082896434812745807544813764783 y[1] (numeric) = 1.608289643481274580754481376479 absolute error = 7e-31 relative error = 4.3524498391023192881626492958178e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.015 Order of pole = 1.449 TOP MAIN SOLVE Loop x[1] = 1.507 y[1] (analytic) = 1.6092896113559972607349083684381 y[1] (numeric) = 1.6092896113559972607349083684387 absolute error = 6e-31 relative error = 3.7283531551193966476958396808896e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.016 Order of pole = 1.436 TOP MAIN SOLVE Loop x[1] = 1.508 y[1] (analytic) = 1.6102895794228914360464460209118 y[1] (numeric) = 1.6102895794228914360464460209124 absolute error = 6e-31 relative error = 3.7260378981961296555520696729191e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.016 Order of pole = 1.423 TOP MAIN SOLVE Loop x[1] = 1.509 y[1] (analytic) = 1.6112895476808075664960863429172 y[1] (numeric) = 1.6112895476808075664960863429178 absolute error = 6e-31 relative error = 3.7237255145333972021051849178236e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.016 Order of pole = 1.41 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = 1.6122895161286029880450139466511 y[1] (numeric) = 1.6122895161286029880450139466517 absolute error = 6e-31 relative error = 3.7214159987885294807048011018756e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.016 Order of pole = 1.397 TOP MAIN SOLVE Loop x[1] = 1.511 y[1] (analytic) = 1.6132894847651418716804117655935 y[1] (numeric) = 1.6132894847651418716804117655942 absolute error = 7e-31 relative error = 4.3389609032374250158744520875577e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.016 Order of pole = 1.384 TOP MAIN SOLVE Loop x[1] = 1.512 y[1] (analytic) = 1.6142894535892951825332349987019 y[1] (numeric) = 1.6142894535892951825332349987025 absolute error = 6e-31 relative error = 3.7168055497477777271464601879491e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.017 Order of pole = 1.371 TOP MAIN SOLVE Loop x[1] = 1.513 y[1] (analytic) = 1.6152894225999406392404826307365 y[1] (numeric) = 1.6152894225999406392404826307372 absolute error = 7e-31 relative error = 4.3335887068045840400695209840414e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.017 Order of pole = 1.358 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=12.01 x[1] = 1.514 y[1] (analytic) = 1.6162893917959626735505046674083 y[1] (numeric) = 1.616289391795962673550504667409 absolute error = 7e-31 relative error = 4.3309075933622577450223426132091e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.017 Order of pole = 1.345 TOP MAIN SOLVE Loop x[1] = 1.515 y[1] (analytic) = 1.6172893611762523901698919602106 y[1] (numeric) = 1.6172893611762523901698919602113 absolute error = 7e-31 relative error = 4.3282297948889674007113426296118e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.017 Order of pole = 1.332 TOP MAIN SOLVE Loop x[1] = 1.516 y[1] (analytic) = 1.6182893307397075268505041798236 y[1] (numeric) = 1.6182893307397075268505041798244 absolute error = 8e-31 relative error = 4.9434917774210758241346452690575e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.017 Order of pole = 1.318 TOP MAIN SOLVE Loop x[1] = 1.517 y[1] (analytic) = 1.6192893004852324147152001291515 y[1] (numeric) = 1.6192893004852324147152001291523 absolute error = 8e-31 relative error = 4.9404389923423435565174144708208e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.018 Order of pole = 1.305 TOP MAIN SOLVE Loop x[1] = 1.518 y[1] (analytic) = 1.6202892704117379388208431676918 y[1] (numeric) = 1.6202892704117379388208431676926 absolute error = 8e-31 relative error = 4.9373899747957284371962248290515e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.018 Order of pole = 1.292 TOP MAIN SOLVE Loop x[1] = 1.519 y[1] (analytic) = 1.6212892405181414989571630483488 y[1] (numeric) = 1.6212892405181414989571630483497 absolute error = 9e-31 relative error = 5.5511378075411918082444235515314e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.018 Order of pole = 1.278 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = 1.6222892108033669706800639462863 y[1] (numeric) = 1.6222892108033669706800639462872 absolute error = 9e-31 relative error = 5.5477161162547263132517974761401e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.018 Order of pole = 1.265 TOP MAIN SOLVE Loop x[1] = 1.521 y[1] (analytic) = 1.6232891812663446665779768872802 y[1] (numeric) = 1.6232891812663446665779768872811 absolute error = 9e-31 relative error = 5.5442986399866270206627041590710e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.018 Order of pole = 1.252 TOP MAIN SOLVE Loop x[1] = 1.522 y[1] (analytic) = 1.6242891519060112977698631605808 y[1] (numeric) = 1.6242891519060112977698631605816 absolute error = 8e-31 relative error = 4.9252314408505734521513398446490e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.019 Order of pole = 1.238 TOP MAIN SOLVE Loop x[1] = 1.523 y[1] (analytic) = 1.6252891227213099356334836288175 y[1] (numeric) = 1.6252891227213099356334836288184 absolute error = 9e-31 relative error = 5.5374763014046452994483736589311e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.019 Order of pole = 1.225 TOP MAIN SOLVE Loop x[1] = 1.524 y[1] (analytic) = 1.6262890937111899737625571252902 y[1] (numeric) = 1.626289093711189973762557125291 absolute error = 8e-31 relative error = 4.9191745987449307367304315030774e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.019 Order of pole = 1.211 TOP MAIN SOLVE Loop x[1] = 1.525 y[1] (analytic) = 1.6272890648746070901514393573672 y[1] (numeric) = 1.6272890648746070901514393573681 absolute error = 9e-31 relative error = 5.5306707297842666301096982076981e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.019 Order of pole = 1.198 TOP MAIN SOLVE Loop x[1] = 1.526 y[1] (analytic) = 1.6282890362105232096059619139685 y[1] (numeric) = 1.6282890362105232096059619139694 absolute error = 9e-31 relative error = 5.5272742122894086062350473277986e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.019 Order of pole = 1.184 TOP MAIN SOLVE Loop x[1] = 1.527 y[1] (analytic) = 1.6292890077179064663790791055198 y[1] (numeric) = 1.6292890077179064663790791055206 absolute error = 8e-31 relative error = 4.9101172119275184570603435831364e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.019 Order of pole = 1.171 memory used=122.0MB, alloc=4.4MB, time=12.40 TOP MAIN SOLVE Loop x[1] = 1.528 y[1] (analytic) = 1.6302889793957311670299784466364 y[1] (numeric) = 1.6302889793957311670299784466372 absolute error = 8e-31 relative error = 4.9071054893379766986482640164948e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.02 Order of pole = 1.157 TOP MAIN SOLVE Loop x[1] = 1.529 y[1] (analytic) = 1.6312889512429777535053186254051 y[1] (numeric) = 1.6312889512429777535053186254059 absolute error = 8e-31 relative error = 4.9040974585798033867411004215682e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.02 Order of pole = 1.144 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = 1.6322889232586327664412667887727 y[1] (numeric) = 1.6322889232586327664412667887735 absolute error = 8e-31 relative error = 4.9010931128719157090253050850747e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.02 Order of pole = 1.13 TOP MAIN SOLVE Loop x[1] = 1.531 y[1] (analytic) = 1.63328889544168880868501491151 y[1] (numeric) = 1.6332888954416888086850149115108 absolute error = 8e-31 relative error = 4.8980924454498096510600484969983e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.02 Order of pole = 1.117 TOP MAIN SOLVE Loop x[1] = 1.532 y[1] (analytic) = 1.6342888677911445090344629067786 y[1] (numeric) = 1.6342888677911445090344629067794 absolute error = 8e-31 relative error = 4.8950954495655094699220401217681e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.02 Order of pole = 1.103 TOP MAIN SOLVE Loop x[1] = 1.533 y[1] (analytic) = 1.6352888403060044861947639797691 y[1] (numeric) = 1.63528884030600448619476397977 absolute error = 9e-31 relative error = 5.5036148832984570208541261352660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.021 Order of pole = 1.09 TOP MAIN SOLVE Loop x[1] = 1.534 y[1] (analytic) = 1.6362888129852793129504355224881 y[1] (numeric) = 1.636288812985279312950435522489 absolute error = 9e-31 relative error = 5.5002515011883586599102972952469e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.021 Order of pole = 1.076 TOP MAIN SOLVE Loop x[1] = 1.535 y[1] (analytic) = 1.637288785827985480551746597818 y[1] (numeric) = 1.6372887858279854805517465978189 absolute error = 9e-31 relative error = 5.4968922268948742893717964465342e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.021 Order of pole = 1.063 TOP MAIN SOLVE Loop x[1] = 1.536 y[1] (analytic) = 1.6382887588331453633141007647479 y[1] (numeric) = 1.6382887588331453633141007647487 absolute error = 8e-31 relative error = 4.8831440470225281121219336764225e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.021 Order of pole = 1.049 TOP MAIN SOLVE Loop x[1] = 1.537 y[1] (analytic) = 1.6392887319997871834291406544379 y[1] (numeric) = 1.6392887319997871834291406544387 absolute error = 8e-31 relative error = 4.8801653081825969508622927334418e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.021 Order of pole = 1.036 TOP MAIN SOLVE Loop x[1] = 1.538 y[1] (analytic) = 1.6402887053269449759863083188204 y[1] (numeric) = 1.6402887053269449759863083188212 absolute error = 8e-31 relative error = 4.8771902007369045237310309354689e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.022 Order of pole = 1.022 TOP MAIN SOLVE Loop x[1] = 1.539 y[1] (analytic) = 1.6412886788136585542036029400207 y[1] (numeric) = 1.6412886788136585542036029400214 absolute error = 7e-31 relative error = 4.2649413782953019093287884484056e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.022 Order of pole = 1.008 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = 1.6422886524589734748662850102779 y[1] (numeric) = 1.6422886524589734748662850102786 absolute error = 7e-31 relative error = 4.2623444968209504106205693296231e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.022 Order of pole = 0.9949 TOP MAIN SOLVE Loop x[1] = 1.541 memory used=125.8MB, alloc=4.4MB, time=12.78 y[1] (analytic) = 1.6432886262619410039722835685273 y[1] (numeric) = 1.6432886262619410039722835685279 absolute error = 6e-31 relative error = 3.6512149503818187385046592936465e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.022 Order of pole = 0.9813 TOP MAIN SOLVE Loop x[1] = 1.542 y[1] (analytic) = 1.6442886002216180825830705116342 y[1] (numeric) = 1.6442886002216180825830705116348 absolute error = 6e-31 relative error = 3.6489944643484828900807624482785e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.022 Order of pole = 0.9678 TOP MAIN SOLVE Loop x[1] = 1.543 y[1] (analytic) = 1.6452885743370672928787733857239 y[1] (numeric) = 1.6452885743370672928787733857245 absolute error = 6e-31 relative error = 3.6467766771051501009905623818469e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.023 Order of pole = 0.9543 TOP MAIN SOLVE Loop x[1] = 1.544 y[1] (analytic) = 1.6462885486073568244163054063789 y[1] (numeric) = 1.6462885486073568244163054063795 absolute error = 6e-31 relative error = 3.6445615837366868752050780322883e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.023 Order of pole = 0.9408 TOP MAIN SOLVE Loop x[1] = 1.545 y[1] (analytic) = 1.6472885230315604405892987559572 y[1] (numeric) = 1.6472885230315604405892987559578 absolute error = 6e-31 relative error = 3.6423491793398756382399458841887e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.023 Order of pole = 0.9274 TOP MAIN SOLVE Loop x[1] = 1.546 y[1] (analytic) = 1.6482884976087574452886344621657 y[1] (numeric) = 1.6482884976087574452886344621663 absolute error = 6e-31 relative error = 3.6401394590233787225359591153164e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.023 Order of pole = 0.9139 TOP MAIN SOLVE Loop x[1] = 1.547 y[1] (analytic) = 1.649288472338032649762369374577 y[1] (numeric) = 1.6492884723380326497623693745775 absolute error = 5e-31 relative error = 3.0316103482564187357830894717662e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.024 Order of pole = 0.9005 TOP MAIN SOLVE Loop x[1] = 1.548 y[1] (analytic) = 1.6502884472184763396738679252523 y[1] (numeric) = 1.6502884472184763396738679252528 absolute error = 5e-31 relative error = 3.0297733759376346181158279643987e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.024 Order of pole = 0.8871 TOP MAIN SOLVE Loop x[1] = 1.549 y[1] (analytic) = 1.6512884222491842423569534862935 y[1] (numeric) = 1.651288422249184242356953486294 absolute error = 5e-31 relative error = 3.0279386281832026355919157316691e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.024 Order of pole = 0.8737 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = 1.6522883974292574942669012212406 y[1] (numeric) = 1.6522883974292574942669012212411 absolute error = 5e-31 relative error = 3.0261061009563097946984566521115e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.024 Order of pole = 0.8603 TOP MAIN SOLVE Loop x[1] = 1.551 y[1] (analytic) = 1.6532883727578026086261013690207 y[1] (numeric) = 1.6532883727578026086261013690212 absolute error = 5e-31 relative error = 3.0242757902298945806406613707595e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.025 Order of pole = 0.847 TOP MAIN SOLVE Loop x[1] = 1.552 y[1] (analytic) = 1.6542883482339314432632288988822 y[1] (numeric) = 1.6542883482339314432632288988827 absolute error = 5e-31 relative error = 3.0224476919866175888859947606015e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.025 Order of pole = 0.8337 TOP MAIN SOLVE Loop x[1] = 1.553 y[1] (analytic) = 1.6552883238567611686447624326738 y[1] (numeric) = 1.6552883238567611686447624326743 absolute error = 5e-31 relative error = 3.0206218022188322624306610407096e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.025 Order of pole = 0.8204 TOP MAIN SOLVE Loop x[1] = 1.554 y[1] (analytic) = 1.6562882996254142360977022471962 y[1] (numeric) = 1.6562882996254142360977022471967 absolute error = 5e-31 relative error = 3.0187981169285557343467927795610e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.025 Order of pole = 0.8072 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=13.18 x[1] = 1.555 y[1] (analytic) = 1.6572882755390183462223440444109 y[1] (numeric) = 1.6572882755390183462223440444114 absolute error = 5e-31 relative error = 3.0169766321274397751708043459684e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.026 Order of pole = 0.794 TOP MAIN SOLVE Loop x[1] = 1.556 y[1] (analytic) = 1.658288251596706417493972011291 y[1] (numeric) = 1.6582882515967064174939720112915 absolute error = 5e-31 relative error = 3.0151573438367418446954536153220e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.026 Order of pole = 0.7808 TOP MAIN SOLVE Loop x[1] = 1.557 y[1] (analytic) = 1.6592882277976165550523414842743 y[1] (numeric) = 1.6592882277976165550523414842748 absolute error = 5e-31 relative error = 3.0133402480872962477302279602160e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.026 Order of pole = 0.7677 TOP MAIN SOLVE Loop x[1] = 1.558 y[1] (analytic) = 1.6602882041408920196778282858866 y[1] (numeric) = 1.6602882041408920196778282858871 absolute error = 5e-31 relative error = 3.0115253409194853933967318162936e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.026 Order of pole = 0.7546 TOP MAIN SOLVE Loop x[1] = 1.559 y[1] (analytic) = 1.6612881806256811969531285133749 y[1] (numeric) = 1.6612881806256811969531285133754 absolute error = 5e-31 relative error = 3.0097126183832111575278034801838e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.027 Order of pole = 0.7415 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = 1.662288157251137566609399231371 y[1] (numeric) = 1.6622881572511375666093992313715 absolute error = 5e-31 relative error = 3.0079020765378663477411283302030e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.027 Order of pole = 0.7285 TOP MAIN SOLVE Loop x[1] = 1.561 y[1] (analytic) = 1.6632881340164196720557371529357 y[1] (numeric) = 1.6632881340164196720557371529362 absolute error = 5e-31 relative error = 3.0060937114523062707601444251368e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.027 Order of pole = 0.7155 TOP MAIN SOLVE Loop x[1] = 1.562 y[1] (analytic) = 1.6642881109206910900908989860466 y[1] (numeric) = 1.6642881109206910900908989860471 absolute error = 5e-31 relative error = 3.0042875192048204015570544945779e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.028 Order of pole = 0.7026 TOP MAIN SOLVE Loop x[1] = 1.563 y[1] (analytic) = 1.6652880879631204007961736759281 y[1] (numeric) = 1.6652880879631204007961736759287 absolute error = 6e-31 relative error = 3.6029801950597249846737188979087e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.028 Order of pole = 0.6897 TOP MAIN SOLVE Loop x[1] = 1.564 y[1] (analytic) = 1.666288065142881157608323287814 y[1] (numeric) = 1.6662880651428811576083232878146 absolute error = 6e-31 relative error = 3.6008179651010769022158909161457e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.028 Order of pole = 0.6769 TOP MAIN SOLVE Loop x[1] = 1.565 y[1] (analytic) = 1.6672880424591518575715157500124 y[1] (numeric) = 1.6672880424591518575715157500131 absolute error = 7e-31 relative error = 4.1984347165804724826241726285596e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.028 Order of pole = 0.6641 TOP MAIN SOLVE Loop x[1] = 1.566 y[1] (analytic) = 1.6682880199111159117671791137491 y[1] (numeric) = 1.6682880199111159117671791137498 absolute error = 7e-31 relative error = 4.1959181606860369110677383093489e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.029 Order of pole = 0.6513 TOP MAIN SOLVE Loop x[1] = 1.567 y[1] (analytic) = 1.6692879974979616159207133844164 y[1] (numeric) = 1.669287997497961615920713384417 absolute error = 6e-31 relative error = 3.5943468167225749547909523165180e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.029 Order of pole = 0.6386 TOP MAIN SOLVE Loop x[1] = 1.568 y[1] (analytic) = 1.6702879752188821211840023387955 y[1] (numeric) = 1.6702879752188821211840023387961 absolute error = 6e-31 relative error = 3.5921949322623440149714270346859e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.029 Order of pole = 0.626 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=13.57 x[1] = 1.569 y[1] (analytic) = 1.6712879530730754050926740647659 y[1] (numeric) = 1.6712879530730754050926740647665 absolute error = 6e-31 relative error = 3.5900456225795914426894783522989e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.03 Order of pole = 0.6134 TOP MAIN SOLVE Loop x[1] = 1.57 y[1] (analytic) = 1.6722879310597442426970652441971 y[1] (numeric) = 1.6722879310597442426970652441978 absolute error = 7e-31 relative error = 4.1858820302338937636478236682299e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.03 Order of pole = 0.6009 TOP MAIN SOLVE Loop x[1] = 1.571 y[1] (analytic) = 1.6732879091780961778658504463664 y[1] (numeric) = 1.6732879091780961778658504463671 absolute error = 7e-31 relative error = 4.1833804939392267630799393860687e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.03 Order of pole = 0.5884 TOP MAIN SOLVE Loop x[1] = 1.572 y[1] (analytic) = 1.6742878874273434947613039085727 y[1] (numeric) = 1.6742878874273434947613039085734 absolute error = 7e-31 relative error = 4.1808819454317221004028973022359e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.031 Order of pole = 0.576 TOP MAIN SOLVE Loop x[1] = 1.573 y[1] (analytic) = 1.675287865806703189485167452859 y[1] (numeric) = 1.6752878658067031894851674528597 absolute error = 7e-31 relative error = 4.1783863793636936425047927336570e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.031 Order of pole = 0.5637 TOP MAIN SOLVE Loop x[1] = 1.574 y[1] (analytic) = 1.6762878443153969418941043231203 y[1] (numeric) = 1.6762878443153969418941043231211 absolute error = 8e-31 relative error = 4.7724500461716549023039285756152e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.032 Order of pole = 0.5514 TOP MAIN SOLVE Loop x[1] = 1.575 y[1] (analytic) = 1.6772878229526510875837248255946 y[1] (numeric) = 1.6772878229526510875837248255953 absolute error = 7e-31 relative error = 4.1734041732189968618614740811908e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.032 Order of pole = 0.5392 TOP MAIN SOLVE Loop x[1] = 1.576 y[1] (analytic) = 1.6782878017176965900401757180152 y[1] (numeric) = 1.6782878017176965900401757180159 absolute error = 7e-31 relative error = 4.1709175225105188718197581418965e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.032 Order of pole = 0.527 TOP MAIN SOLVE Loop x[1] = 1.577 y[1] (analytic) = 1.6792877806097690129582913187792 y[1] (numeric) = 1.6792877806097690129582913187798 absolute error = 6e-31 relative error = 3.5729432854095620820273323140547e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.033 Order of pole = 0.5149 TOP MAIN SOLVE Loop x[1] = 1.578 y[1] (analytic) = 1.6802877596281084927253102975514 y[1] (numeric) = 1.6802877596281084927253102975521 absolute error = 7e-31 relative error = 4.1659530993365580294103539045133e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.033 Order of pole = 0.5029 TOP MAIN SOLVE Loop x[1] = 1.579 y[1] (analytic) = 1.6812877387719597110691680630183 y[1] (numeric) = 1.681287738771959711069168063019 absolute error = 7e-31 relative error = 4.1634753163149309768973719684830e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.033 Order of pole = 0.491 TOP MAIN SOLVE Loop x[1] = 1.58 y[1] (analytic) = 1.6822877180405718678703805822169 y[1] (numeric) = 1.6822877180405718678703805822176 absolute error = 7e-31 relative error = 4.1610004786536641875260205509660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.034 Order of pole = 0.4791 TOP MAIN SOLVE Loop x[1] = 1.581 y[1] (analytic) = 1.6832876974331986541365413492289 y[1] (numeric) = 1.6832876974331986541365413492296 absolute error = 7e-31 relative error = 4.1585285811059611252398743730013e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.034 Order of pole = 0.4673 TOP MAIN SOLVE Loop x[1] = 1.582 y[1] (analytic) = 1.6842876769490982251384590692367 y[1] (numeric) = 1.6842876769490982251384590692374 absolute error = 7e-31 relative error = 4.1560596184374688689293579302692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.035 Order of pole = 0.4555 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.4MB, time=13.96 x[1] = 1.583 y[1] (analytic) = 1.6852876565875331737069694372171 y[1] (numeric) = 1.6852876565875331737069694372178 absolute error = 7e-31 relative error = 4.1535935854262413101455779998125e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.035 Order of pole = 0.4438 TOP MAIN SOLVE Loop x[1] = 1.584 y[1] (analytic) = 1.6862876363477705036894601690894 y[1] (numeric) = 1.6862876363477705036894601690901 absolute error = 7e-31 relative error = 4.1511304768627024809549092701579e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.036 Order of pole = 0.4323 TOP MAIN SOLVE Loop x[1] = 1.585 y[1] (analytic) = 1.68728761622908160356515418716 y[1] (numeric) = 1.6872876162290816035651541871608 absolute error = 8e-31 relative error = 4.7413374714852685844572696472861e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.036 Order of pole = 0.4207 TOP MAIN SOLVE Loop x[1] = 1.586 y[1] (analytic) = 1.6882875962307422202182015714132 y[1] (numeric) = 1.6882875962307422202182015714139 absolute error = 7e-31 relative error = 4.1462130123020187160362426167361e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.036 Order of pole = 0.4093 TOP MAIN SOLVE Loop x[1] = 1.587 y[1] (analytic) = 1.6892875763520324328676365637901 y[1] (numeric) = 1.6892875763520324328676365637909 absolute error = 8e-31 relative error = 4.7357241667968506388710003609949e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.037 Order of pole = 0.3979 TOP MAIN SOLVE Loop x[1] = 1.588 y[1] (analytic) = 1.6902875565922366271532615542921 y[1] (numeric) = 1.6902875565922366271532615542929 absolute error = 8e-31 relative error = 4.7329224952283739967663520629373e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.037 Order of pole = 0.3866 TOP MAIN SOLVE Loop x[1] = 1.589 y[1] (analytic) = 1.69128753695064346937652558572 y[1] (numeric) = 1.6912875369506434693765255857208 absolute error = 8e-31 relative error = 4.7301241363274248007348025573304e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.038 Order of pole = 0.3754 TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (analytic) = 1.6922875174265458808954704883457 y[1] (numeric) = 1.6922875174265458808954704883465 absolute error = 8e-31 relative error = 4.7273290842241538861902687424589e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.038 Order of pole = 0.3643 TOP MAIN SOLVE Loop x[1] = 1.591 y[1] (analytic) = 1.6932874980192410126728232969829 y[1] (numeric) = 1.6932874980192410126728232969837 absolute error = 8e-31 relative error = 4.7245373330625601284049145555486e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.039 Order of pole = 0.3533 TOP MAIN SOLVE Loop x[1] = 1.592 y[1] (analytic) = 1.6942874787280302199763191109924 y[1] (numeric) = 1.6942874787280302199763191109931 absolute error = 7e-31 relative error = 4.1315302673753934871516956148192e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.039 Order of pole = 0.3423 TOP MAIN SOLVE Loop x[1] = 1.593 y[1] (analytic) = 1.6952874595522190372303440329191 y[1] (numeric) = 1.6952874595522190372303440329199 absolute error = 8e-31 relative error = 4.7189637102093954693870211856115e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.04 Order of pole = 0.3314 TOP MAIN SOLVE Loop x[1] = 1.594 y[1] (analytic) = 1.6962874404911171530179932639056 y[1] (numeric) = 1.6962874404911171530179932639064 absolute error = 8e-31 relative error = 4.7161818268746965479329969214430e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.04 Order of pole = 0.3206 TOP MAIN SOLVE Loop x[1] = 1.595 y[1] (analytic) = 1.6972874215440383852326448439572 y[1] (numeric) = 1.697287421544038385232644843958 absolute error = 8e-31 relative error = 4.7134032211953379713349926509845e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.041 Order of pole = 0.3099 TOP MAIN SOLVE Loop x[1] = 1.596 y[1] (analytic) = 1.6982874027103006563781549027467 y[1] (numeric) = 1.6982874027103006563781549027475 absolute error = 8e-31 relative error = 4.7106278873839505285560251627336e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.041 Order of pole = 0.2993 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=14.35 x[1] = 1.597 y[1] (analytic) = 1.6992873839892259690167856321226 y[1] (numeric) = 1.6992873839892259690167856321234 absolute error = 8e-31 relative error = 4.7078558196667707293856986945259e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.042 Order of pole = 0.2888 TOP MAIN SOLVE Loop x[1] = 1.598 y[1] (analytic) = 1.7002873653801403813639825050293 y[1] (numeric) = 1.7002873653801403813639825050301 absolute error = 8e-31 relative error = 4.7050870122836009128373373002335e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.043 Order of pole = 0.2784 TOP MAIN SOLVE Loop x[1] = 1.599 y[1] (analytic) = 1.7012873468823739830291225473403 y[1] (numeric) = 1.7012873468823739830291225473411 absolute error = 8e-31 relative error = 4.7023214594877694954115412031252e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.043 Order of pole = 0.268 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = 1.7022873284952608709013607193432 y[1] (numeric) = 1.702287328495260870901360719344 absolute error = 8e-31 relative error = 4.6995591555460913586568033522794e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.044 Order of pole = 0.2578 TOP MAIN SOLVE Loop x[1] = 1.601 y[1] (analytic) = 1.703287310218139125179706682482 y[1] (numeric) = 1.7032873102181391251797066824828 absolute error = 8e-31 relative error = 4.6968000947388283754604550604826e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.044 Order of pole = 0.2476 TOP MAIN SOLVE Loop x[1] = 1.602 y[1] (analytic) = 1.7042872920503507855464694146466 y[1] (numeric) = 1.7042872920503507855464694146474 absolute error = 8e-31 relative error = 4.6940442713596500745058286664313e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.045 Order of pole = 0.2375 TOP MAIN SOLVE Loop x[1] = 1.603 y[1] (analytic) = 1.7052872739912418274832122939874 y[1] (numeric) = 1.7052872739912418274832122939882 absolute error = 8e-31 relative error = 4.6912916797155944423341307082342e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.045 Order of pole = 0.2276 TOP MAIN SOLVE Loop x[1] = 1.604 y[1] (analytic) = 1.7062872560401621387283663971114 y[1] (numeric) = 1.7062872560401621387283663971122 absolute error = 8e-31 relative error = 4.6885423141270288624521111961298e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.046 Order of pole = 0.2177 TOP MAIN SOLVE Loop x[1] = 1.605 y[1] (analytic) = 1.707287238196465495875654852765 y[1] (numeric) = 1.7072872381964654958756548527658 absolute error = 8e-31 relative error = 4.6857961689276111909291933064971e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.047 Order of pole = 0.2079 TOP MAIN SOLVE Loop x[1] = 1.606 y[1] (analytic) = 1.7082872204595095411124861569133 y[1] (numeric) = 1.7082872204595095411124861569141 absolute error = 8e-31 relative error = 4.6830532384642509679302932626296e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.047 Order of pole = 0.1982 TOP MAIN SOLVE Loop x[1] = 1.607 y[1] (analytic) = 1.7092872028286557590974793896692 y[1] (numeric) = 1.70928720282865575909747938967 absolute error = 8e-31 relative error = 4.6803135170970707646331123959057e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.048 Order of pole = 0.1886 TOP MAIN SOLVE Loop x[1] = 1.608 y[1] (analytic) = 1.7102871853032694539762892789851 y[1] (numeric) = 1.7102871853032694539762892789859 absolute error = 8e-31 relative error = 4.6775769991993676649812224689911e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.049 Order of pole = 0.1792 TOP MAIN SOLVE Loop x[1] = 1.609 y[1] (analytic) = 1.7112871678827197265349040305765 y[1] (numeric) = 1.7112871678827197265349040305774 absolute error = 9e-31 relative error = 5.2591991390522717419426402858027e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.049 Order of pole = 0.1698 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (analytic) = 1.7122871505663794514895937883811 y[1] (numeric) = 1.7122871505663794514895937883819 absolute error = 8e-31 relative error = 4.6721135513712235062193092788127e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.05 Order of pole = 0.1605 memory used=144.9MB, alloc=4.4MB, time=14.74 TOP MAIN SOLVE Loop x[1] = 1.611 y[1] (analytic) = 1.7132871333536252549126925051409 y[1] (numeric) = 1.7132871333536252549126925051418 absolute error = 9e-31 relative error = 5.2530599365345174403240726125660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.051 Order of pole = 0.1513 TOP MAIN SOLVE Loop x[1] = 1.612 y[1] (analytic) = 1.7142871162438374917934008886144 y[1] (numeric) = 1.7142871162438374917934008886152 absolute error = 8e-31 relative error = 4.6666628502282301674574943992998e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.051 Order of pole = 0.1422 TOP MAIN SOLVE Loop x[1] = 1.613 y[1] (analytic) = 1.7152870992364002237328029456401 y[1] (numeric) = 1.7152870992364002237328029456409 absolute error = 8e-31 relative error = 4.6639422657357973896258993593603e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.052 Order of pole = 0.1332 TOP MAIN SOLVE Loop x[1] = 1.614 y[1] (analytic) = 1.7162870823307011967722934739794 y[1] (numeric) = 1.7162870823307011967722934739802 absolute error = 8e-31 relative error = 4.6612248512271488175626939112560e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.053 Order of pole = 0.1244 TOP MAIN SOLVE Loop x[1] = 1.615 y[1] (analytic) = 1.7172870655261318193546186507118 y[1] (numeric) = 1.7172870655261318193546186507126 absolute error = 8e-31 relative error = 4.6585106011667358258040376108958e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.053 Order of pole = 0.1156 TOP MAIN SOLVE Loop x[1] = 1.616 y[1] (analytic) = 1.7182870488220871404167366361364 y[1] (numeric) = 1.7182870488220871404167366361372 absolute error = 8e-31 relative error = 4.6557995100318809447513495189732e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.054 Order of pole = 0.1069 TOP MAIN SOLVE Loop x[1] = 1.617 y[1] (analytic) = 1.7192870322179658276137098538026 y[1] (numeric) = 1.7192870322179658276137098538034 absolute error = 8e-31 relative error = 4.6530915723127405316685219195001e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.055 Order of pole = 0.09835 TOP MAIN SOLVE Loop x[1] = 1.618 y[1] (analytic) = 1.7202870157131701456728453206322 y[1] (numeric) = 1.720287015713170145672845320633 absolute error = 8e-31 relative error = 4.6503867825122675711649498710250e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.056 Order of pole = 0.08989 TOP MAIN SOLVE Loop x[1] = 1.619 y[1] (analytic) = 1.7212869993071059348773040862662 y[1] (numeric) = 1.721286999307105934877304086267 absolute error = 8e-31 relative error = 4.6476851351461746046427813986944e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.056 Order of pole = 0.08154 TOP MAIN SOLVE Loop x[1] = 1.62 y[1] (analytic) = 1.7222869829991825896784054979461 y[1] (numeric) = 1.7222869829991825896784054979469 absolute error = 8e-31 relative error = 4.6449866247428967881891802301886e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.057 Order of pole = 0.0733 TOP MAIN SOLVE Loop x[1] = 1.621 y[1] (analytic) = 1.7232869667888130374358566365845 y[1] (numeric) = 1.7232869667888130374358566365853 absolute error = 8e-31 relative error = 4.6422912458435550783967678678967e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.058 Order of pole = 0.06516 TOP MAIN SOLVE Loop x[1] = 1.622 y[1] (analytic) = 1.7242869506754137172851418713626 y[1] (numeric) = 1.7242869506754137172851418713633 absolute error = 7e-31 relative error = 4.0596491188766796023980527245156e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.059 Order of pole = 0.05714 TOP MAIN SOLVE Loop x[1] = 1.623 y[1] (analytic) = 1.7252869346584045591313120543736 y[1] (numeric) = 1.7252869346584045591313120543743 absolute error = 7e-31 relative error = 4.0572961281863262122498068663860e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.06 Order of pole = 0.04922 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.4MB, time=15.13 x[1] = 1.624 y[1] (analytic) = 1.7262869187372089627684174236831 y[1] (numeric) = 1.7262869187372089627684174236838 absolute error = 7e-31 relative error = 4.0549458632986394246866007243091e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.06 Order of pole = 0.04141 TOP MAIN SOLVE Loop x[1] = 1.625 y[1] (analytic) = 1.7272869029112537771238328028514 y[1] (numeric) = 1.7272869029112537771238328028521 absolute error = 7e-31 relative error = 4.0525983194811804774555495360132e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.061 Order of pole = 0.03371 TOP MAIN SOLVE Loop x[1] = 1.626 y[1] (analytic) = 1.7282868871799692796267281776344 y[1] (numeric) = 1.7282868871799692796267281776351 absolute error = 7e-31 relative error = 4.0502534920124512850839438748773e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.062 Order of pole = 0.02612 TOP MAIN SOLVE Loop x[1] = 1.627 y[1] (analytic) = 1.7292868715427891556999421963988 y[1] (numeric) = 1.7292868715427891556999421963995 absolute error = 7e-31 relative error = 4.0479113761818628887133068026612e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.063 Order of pole = 0.01865 TOP MAIN SOLVE Loop x[1] = 1.628 y[1] (analytic) = 1.7302868559991504783745205799215 y[1] (numeric) = 1.7302868559991504783745205799222 absolute error = 7e-31 relative error = 4.0455719672897040147623047797287e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.064 Order of pole = 0.01128 TOP MAIN SOLVE Loop x[1] = 1.629 y[1] (analytic) = 1.7312868405484936880261858388468 y[1] (numeric) = 1.7312868405484936880261858388474 absolute error = 6e-31 relative error = 3.4656302234118083502707401511109e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.064 Order of pole = 0.004032 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (analytic) = 1.7322868251902625722330090833116 y[1] (numeric) = 1.7322868251902625722330090833123 absolute error = 7e-31 relative error = 4.0409012515760302764731578037984e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.631 y[1] (analytic) = 1.7332868099239042457535590692716 y[1] (numeric) = 1.7332868099239042457535590692722 absolute error = 6e-31 relative error = 3.4616313732078855721906734574491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.632 y[1] (analytic) = 1.7342867947488691306248079600256 y[1] (numeric) = 1.7342867947488691306248079600263 absolute error = 7e-31 relative error = 4.0362413074901056307460681818414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.633 y[1] (analytic) = 1.7352867796646109363790775895067 y[1] (numeric) = 1.7352867796646109363790775895073 absolute error = 6e-31 relative error = 3.4576417398625345520520316854806e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.634 y[1] (analytic) = 1.7362867646705866403793142962232 y[1] (numeric) = 1.7362867646705866403793142962238 absolute error = 6e-31 relative error = 3.4556503695622752719145291870277e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.635 y[1] (analytic) = 1.7372867497662564682719846534679 y[1] (numeric) = 1.7372867497662564682719846534685 absolute error = 6e-31 relative error = 3.4536612915555080286432411638955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.636 y[1] (analytic) = 1.7382867349510838745568886526971 y[1] (numeric) = 1.7382867349510838745568886526977 absolute error = 6e-31 relative error = 3.4516745018875395968106031493374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.637 y[1] (analytic) = 1.7392867202245355232731911029887 y[1] (numeric) = 1.7392867202245355232731911029894 absolute error = 7e-31 relative error = 4.0246383293815557487422031998658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.4MB, time=15.52 x[1] = 1.638 y[1] (analytic) = 1.7402867055860812688009761903502 y[1] (numeric) = 1.7402867055860812688009761903508 absolute error = 6e-31 relative error = 3.4477077717946268253837051740848e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.639 y[1] (analytic) = 1.7412866910351941367776342965285 y[1] (numeric) = 1.7412866910351941367776342965292 absolute error = 7e-31 relative error = 4.0200157940898883343584633873855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (analytic) = 1.7422866765713503051283943080181 y[1] (numeric) = 1.7422866765713503051283943080187 absolute error = 6e-31 relative error = 3.4437501478272294967908940276405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.641 y[1] (analytic) = 1.7432866621940290852103187523115 y[1] (numeric) = 1.7432866621940290852103187523121 absolute error = 6e-31 relative error = 3.4417747408499334893281627789578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.642 y[1] (analytic) = 1.7442866479027129030690831802566 y[1] (numeric) = 1.7442866479027129030690831802572 absolute error = 6e-31 relative error = 3.4398015986731604629890157820960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.643 y[1] (analytic) = 1.7452866336968872808078652707947 y[1] (numeric) = 1.7452866336968872808078652707953 absolute error = 6e-31 relative error = 3.4378307174052707590236200242631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.644 y[1] (analytic) = 1.7462866195760408180676731675267 y[1] (numeric) = 1.7462866195760408180676731675273 absolute error = 6e-31 relative error = 3.4358620931635296399682098849067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.645 y[1] (analytic) = 1.747286605539665173618446565616 y[1] (numeric) = 1.7472866055396651736184465656166 absolute error = 6e-31 relative error = 3.4338957220740818699055096761651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.646 y[1] (analytic) = 1.7482865915872550470602680526409 y[1] (numeric) = 1.7482865915872550470602680526415 absolute error = 6e-31 relative error = 3.4319316002719263815337978678615e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.647 y[1] (analytic) = 1.7492865777183081606340261682944 y[1] (numeric) = 1.749286577718308160634026168295 absolute error = 6e-31 relative error = 3.4299697239008910297002481261736e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.648 y[1] (analytic) = 1.7502865639323252411408755854407 y[1] (numeric) = 1.7502865639323252411408755854413 absolute error = 6e-31 relative error = 3.4280100891136074310557348129862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.649 y[1] (analytic) = 1.7512865502288100019698437291143 y[1] (numeric) = 1.7512865502288100019698437291149 absolute error = 6e-31 relative error = 3.4260526920714858894898352885390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (analytic) = 1.7522865366072691252329370407299 y[1] (numeric) = 1.7522865366072691252329370407306 absolute error = 7e-31 relative error = 3.9947804504354721415073479895613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.651 y[1] (analytic) = 1.7532865230672122440071039622047 y[1] (numeric) = 1.7532865230672122440071039622053 absolute error = 6e-31 relative error = 3.4221445959121137797007767339204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.4MB, time=15.90 x[1] = 1.652 y[1] (analytic) = 1.754286509608151924682415559004 y[1] (numeric) = 1.7542865096081519246824155590046 absolute error = 6e-31 relative error = 3.4201938891613527785041451496084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.653 y[1] (analytic) = 1.755286496229603649415828522467 y[1] (numeric) = 1.7552864962296036494158285224676 absolute error = 6e-31 relative error = 3.4182454048886834143562350479756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.654 y[1] (analytic) = 1.7562864829310857986898990902615 y[1] (numeric) = 1.7562864829310857986898990902621 absolute error = 6e-31 relative error = 3.4162991392990362874763286878049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.655 y[1] (analytic) = 1.7572864697121196339758201996169 y[1] (numeric) = 1.7572864697121196339758201996176 absolute error = 7e-31 relative error = 3.9834142700403006904646245636966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.656 y[1] (analytic) = 1.7582864565722292805001579412116 y[1] (numeric) = 1.7582864565722292805001579412123 absolute error = 7e-31 relative error = 3.9811487905369329035126099432814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.657 y[1] (analytic) = 1.7592864435109417101146671123855 y[1] (numeric) = 1.7592864435109417101146671123862 absolute error = 7e-31 relative error = 3.9788858862746441574868205981177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.658 y[1] (analytic) = 1.7602864305277867242685693768472 y[1] (numeric) = 1.7602864305277867242685693768478 absolute error = 6e-31 relative error = 3.4085361881708193652861638289069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.659 y[1] (analytic) = 1.7612864176222969370826812243747 y[1] (numeric) = 1.7612864176222969370826812243753 absolute error = 6e-31 relative error = 3.4066009593714380283670981897915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.66 y[1] (analytic) = 1.7622864047940077585247825883078 y[1] (numeric) = 1.7622864047940077585247825883084 absolute error = 6e-31 relative error = 3.4046679266650389768469629174574e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.661 y[1] (analytic) = 1.7632863920424573776856206210249 y[1] (numeric) = 1.7632863920424573776856206210255 absolute error = 6e-31 relative error = 3.4027370863164517102230289055234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.662 y[1] (analytic) = 1.7642863793671867461549467482239 y[1] (numeric) = 1.7642863793671867461549467482245 absolute error = 6e-31 relative error = 3.4008084345989660993711654193608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.663 y[1] (analytic) = 1.7652863667677395614969887218101 y[1] (numeric) = 1.7652863667677395614969887218107 absolute error = 6e-31 relative error = 3.3988819677943084779172737722871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.664 y[1] (analytic) = 1.7662863542436622508247629686681 y[1] (numeric) = 1.7662863542436622508247629686687 absolute error = 6e-31 relative error = 3.3969576821926178144500780690150e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.665 y[1] (analytic) = 1.7672863417945039544726360886821 y[1] (numeric) = 1.7672863417945039544726360886827 absolute error = 6e-31 relative error = 3.3950355740924219652576913411966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=16.29 x[1] = 1.666 y[1] (analytic) = 1.7682863294198165097665478902067 y[1] (numeric) = 1.7682863294198165097665478902073 absolute error = 6e-31 relative error = 3.3931156398006140072717935583237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.667 y[1] (analytic) = 1.769286317119154434891311864892 y[1] (numeric) = 1.7692863171191544348913118648925 absolute error = 5e-31 relative error = 2.8259982296936905424205575641475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.668 y[1] (analytic) = 1.7702863048920749128544124964736 y[1] (numeric) = 1.7702863048920749128544124964742 absolute error = 6e-31 relative error = 3.3892822779114187324657551313894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.669 y[1] (analytic) = 1.7712862927381377755457222699636 y[1] (numeric) = 1.7712862927381377755457222699641 absolute error = 5e-31 relative error = 2.8228073691411931548714583394180e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (analytic) = 1.7722862806569054878925646987508 y[1] (numeric) = 1.7722862806569054878925646987513 absolute error = 5e-31 relative error = 2.8212146392888222442980996813476e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.671 y[1] (analytic) = 1.7732862686479431321095531175694 y[1] (numeric) = 1.7732862686479431321095531175699 absolute error = 5e-31 relative error = 2.8196237056593753450216869589245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.672 y[1] (analytic) = 1.7742862567108183920426383992311 y[1] (numeric) = 1.7742862567108183920426383992316 absolute error = 5e-31 relative error = 2.8180345652166789943460536070455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.673 y[1] (analytic) = 1.775286244845101537606802142578 y[1] (numeric) = 1.7752862448451015376068021425784 absolute error = 4e-31 relative error = 2.2531577719451156308618737526439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.674 y[1] (analytic) = 1.7762862330503654093168352484095 y[1] (numeric) = 1.7762862330503654093168352484099 absolute error = 4e-31 relative error = 2.2518893214247991486799017574717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.675 y[1] (analytic) = 1.7772862213261854029106451492955 y[1] (numeric) = 1.7772862213261854029106451492959 absolute error = 4e-31 relative error = 2.2506222981998124987781650083526e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.676 y[1] (analytic) = 1.7782862096721394540645382883251 y[1] (numeric) = 1.7782862096721394540645382883255 absolute error = 4e-31 relative error = 2.2493566998629963596358712585554e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.677 y[1] (analytic) = 1.7792861980878080231999277510799 y[1] (numeric) = 1.7792861980878080231999277510803 absolute error = 4e-31 relative error = 2.2480925240125981348706655050095e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.678 y[1] (analytic) = 1.7802861865727740803809192445777 y[1] (numeric) = 1.7802861865727740803809192445781 absolute error = 4e-31 relative error = 2.2468297682522568007595828781002e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.679 y[1] (analytic) = 1.7812861751266230903022318867271 y[1] (numeric) = 1.7812861751266230903022318867275 absolute error = 4e-31 relative error = 2.2455684301909878045755817144883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=16.68 x[1] = 1.68 y[1] (analytic) = 1.7822861637489429973669135200822 y[1] (numeric) = 1.7822861637489429973669135200826 absolute error = 4e-31 relative error = 2.2443085074431680135416333847996e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.681 y[1] (analytic) = 1.7832861524393242108533134945073 y[1] (numeric) = 1.7832861524393242108533134945078 absolute error = 5e-31 relative error = 2.8038124970356508927565284485623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.682 y[1] (analytic) = 1.7842861411973595901707790748689 y[1] (numeric) = 1.7842861411973595901707790748694 absolute error = 5e-31 relative error = 2.8022411229651258275462326957779e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.683 y[1] (analytic) = 1.7852861300226444302035448221818 y[1] (numeric) = 1.7852861300226444302035448221823 absolute error = 5e-31 relative error = 2.8006715091303489763226028465334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.684 y[1] (analytic) = 1.786286118914776446742287469866 y[1] (numeric) = 1.7862861189147764467422874698665 absolute error = 5e-31 relative error = 2.7991036525759116416271949302015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.685 y[1] (analytic) = 1.7872861078733557620028219710269 y[1] (numeric) = 1.7872861078733557620028219710275 absolute error = 6e-31 relative error = 3.3570450604236165268731218652507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.686 y[1] (analytic) = 1.7882860968979848902314175280781 y[1] (numeric) = 1.7882860968979848902314175280787 absolute error = 6e-31 relative error = 3.3551678394233346295655896781909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.687 y[1] (analytic) = 1.789286085988268723396215532684 y[1] (numeric) = 1.7892860859882687233962155326846 absolute error = 6e-31 relative error = 3.3532927165674826604511521185228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.688 y[1] (analytic) = 1.7902860751438145169642344420326 y[1] (numeric) = 1.7902860751438145169642344420332 absolute error = 6e-31 relative error = 3.3514196883411592174601430953192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.689 y[1] (analytic) = 1.7912860643642318757634496969572 y[1] (numeric) = 1.7912860643642318757634496969578 absolute error = 6e-31 relative error = 3.3495487512373052076486850707701e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (analytic) = 1.7922860536491327399294398485285 y[1] (numeric) = 1.7922860536491327399294398485291 absolute error = 6e-31 relative error = 3.3476799017566820138425565218588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.691 y[1] (analytic) = 1.7932860429981313709360931025419 y[1] (numeric) = 1.7932860429981313709360931025425 absolute error = 6e-31 relative error = 3.3458131364078497340254452651551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.692 y[1] (analytic) = 1.7942860324108443377098715159377 y[1] (numeric) = 1.7942860324108443377098715159383 absolute error = 6e-31 relative error = 3.3439484517071454931899216473737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.693 y[1] (analytic) = 1.7952860218868905028271330857244 y[1] (numeric) = 1.795286021886890502827133085725 absolute error = 6e-31 relative error = 3.3420858441786618273707056604902e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.4MB, time=17.07 x[1] = 1.694 y[1] (analytic) = 1.7962860114258910087940149595361 y[1] (numeric) = 1.7962860114258910087940149595367 absolute error = 6e-31 relative error = 3.3402253103542251395810359921589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.695 y[1] (analytic) = 1.7972860010274692644083839676469 y[1] (numeric) = 1.7972860010274692644083839676475 absolute error = 6e-31 relative error = 3.3383668467733742273741769030956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.696 y[1] (analytic) = 1.7982859906912509312033636292031 y[1] (numeric) = 1.7982859906912509312033636292037 absolute error = 6e-31 relative error = 3.3365104499833388817533206659286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.697 y[1] (analytic) = 1.7992859804168639099719497207151 y[1] (numeric) = 1.7992859804168639099719497207157 absolute error = 6e-31 relative error = 3.3346561165390185571543591375564e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.698 y[1] (analytic) = 1.8002859702039383273722294125864 y[1] (numeric) = 1.800285970203938327372229412587 absolute error = 6e-31 relative error = 3.3328038430029611122272079018533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.699 y[1] (analytic) = 1.8012859600521065226127218797509 y[1] (numeric) = 1.8012859600521065226127218797516 absolute error = 7e-31 relative error = 3.8861125636028985579996654013389e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (analytic) = 1.8022859499610030342173611754443 y[1] (numeric) = 1.802285949961003034217361175445 absolute error = 7e-31 relative error = 3.8839563722679314643442648730379e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.701 y[1] (analytic) = 1.8032859399302645868696450228538 y[1] (numeric) = 1.8032859399302645868696450228545 absolute error = 7e-31 relative error = 3.8818025721814806064874825933749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.702 y[1] (analytic) = 1.8042859299595300783354760279826 y[1] (numeric) = 1.8042859299595300783354760279833 absolute error = 7e-31 relative error = 3.8796511593686313224785431419755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.703 y[1] (analytic) = 1.8052859200484405664642246486209 y[1] (numeric) = 1.8052859200484405664642246486217 absolute error = 8e-31 relative error = 4.4314310055580220621471643472554e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.704 y[1] (analytic) = 1.8062859101966392562675460689494 y[1] (numeric) = 1.8062859101966392562675460689502 absolute error = 8e-31 relative error = 4.4289776910949214683280905658908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.705 y[1] (analytic) = 1.8072859004037714870754859271045 y[1] (numeric) = 1.8072859004037714870754859271053 absolute error = 8e-31 relative error = 4.4265270913764637757285661572011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.706 y[1] (analytic) = 1.8082858906694847197694126241163 y[1] (numeric) = 1.8082858906694847197694126241172 absolute error = 9e-31 relative error = 4.9770891021374473575017021063796e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.707 y[1] (analytic) = 1.8092858809934285240913167070812 y[1] (numeric) = 1.809285880993428524091316707082 absolute error = 8e-31 relative error = 4.4216340181726409334796749100886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=17.46 x[1] = 1.708 y[1] (analytic) = 1.8102858713752545660290205673576 y[1] (numeric) = 1.8102858713752545660290205673584 absolute error = 8e-31 relative error = 4.4191915357116976570974883054448e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.709 y[1] (analytic) = 1.8112858618146165952768444260754 y[1] (numeric) = 1.8112858618146165952768444260762 absolute error = 8e-31 relative error = 4.4167517500441862761252795827122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (analytic) = 1.8122858523111704327712772944134 y[1] (numeric) = 1.8122858523111704327712772944142 absolute error = 8e-31 relative error = 4.4143146567070346460354531679254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.711 y[1] (analytic) = 1.8132858428645739583012042950405 y[1] (numeric) = 1.8132858428645739583012042950412 absolute error = 7e-31 relative error = 3.8603952198411323746357825645502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.712 y[1] (analytic) = 1.8142858334744870981922444139143 y[1] (numeric) = 1.814285833474487098192244413915 absolute error = 7e-31 relative error = 3.8582674630680985245830695893056e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.713 y[1] (analytic) = 1.815285824140571813064755418397 y[1] (numeric) = 1.8152858241405718130647554183977 absolute error = 7e-31 relative error = 3.8561420504201189203674409236257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.714 y[1] (analytic) = 1.8162858148624920856650653284639 y[1] (numeric) = 1.8162858148624920856650653284646 absolute error = 7e-31 relative error = 3.8540189780262959943205042207659e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.715 y[1] (analytic) = 1.8172858056399139087694924627557 y[1] (numeric) = 1.8172858056399139087694924627564 absolute error = 7e-31 relative error = 3.8518982420242460099796620820801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.716 y[1] (analytic) = 1.8182857964725052731607187004429 y[1] (numeric) = 1.8182857964725052731607187004435 absolute error = 6e-31 relative error = 3.2998112901943505942384289335035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.717 y[1] (analytic) = 1.8192857873599361556760832034294 y[1] (numeric) = 1.81928578735993615567608320343 absolute error = 6e-31 relative error = 3.2979975118185933775817090574963e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.718 y[1] (analytic) = 1.8202857783018785073273664314206 y[1] (numeric) = 1.8202857783018785073273664314212 absolute error = 6e-31 relative error = 3.2961857261760973738202707351080e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.719 y[1] (analytic) = 1.8212857692980062414916368548989 y[1] (numeric) = 1.8212857692980062414916368548996 absolute error = 7e-31 relative error = 3.8434385849827783466776471129679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (analytic) = 1.8222857603479952221727353281964 y[1] (numeric) = 1.8222857603479952221727353281971 absolute error = 7e-31 relative error = 3.8413294733001895907369786742165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.721 y[1] (analytic) = 1.8232857514515232523329746267046 y[1] (numeric) = 1.8232857514515232523329746267053 absolute error = 7e-31 relative error = 3.8392226750125585176844979907961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.4MB, time=17.84 x[1] = 1.722 y[1] (analytic) = 1.8242857426082700622946341789231 y[1] (numeric) = 1.8242857426082700622946341789238 absolute error = 7e-31 relative error = 3.8371181863164481618677368135154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.723 y[1] (analytic) = 1.8252857338179172982108325355964 y[1] (numeric) = 1.8252857338179172982108325355971 absolute error = 7e-31 relative error = 3.8350160034167505717802410809379e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.724 y[1] (analytic) = 1.8262857250801485106053626147279 y[1] (numeric) = 1.8262857250801485106053626147286 absolute error = 7e-31 relative error = 3.8329161225266640473270995508497e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.725 y[1] (analytic) = 1.8272857163946491429810772428683 y[1] (numeric) = 1.8272857163946491429810772428689 absolute error = 6e-31 relative error = 3.2835587484580032441916327183249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.726 y[1] (analytic) = 1.8282857077611065204964149798496 y[1] (numeric) = 1.8282857077611065204964149798503 absolute error = 7e-31 relative error = 3.8287232516695125965769514718937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.727 y[1] (analytic) = 1.8292856991792098387096586661628 y[1] (numeric) = 1.8292856991792098387096586661634 absolute error = 6e-31 relative error = 3.2799687892887186028883147836201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.728 y[1] (analytic) = 1.8302856906486501523905215695396 y[1] (numeric) = 1.8302856906486501523905215695402 absolute error = 6e-31 relative error = 3.2781767516707242301969370387428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.729 y[1] (analytic) = 1.8312856821691203643986584300969 y[1] (numeric) = 1.8312856821691203643986584300975 absolute error = 6e-31 relative error = 3.2763866710807911467501492545226e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (analytic) = 1.832285673740315214628701111705 y[1] (numeric) = 1.8322856737403152146287011117056 absolute error = 6e-31 relative error = 3.2745985443154010165325959342101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.731 y[1] (analytic) = 1.8332856653619312690214209611552 y[1] (numeric) = 1.8332856653619312690214209611558 absolute error = 6e-31 relative error = 3.2728123681780203448633451743424e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.732 y[1] (analytic) = 1.8342856570336669086406223562947 y[1] (numeric) = 1.8342856570336669086406223562953 absolute error = 6e-31 relative error = 3.2710281394790814713693489028680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.733 y[1] (analytic) = 1.8352856487552223188153742896699 y[1] (numeric) = 1.8352856487552223188153742896705 absolute error = 6e-31 relative error = 3.2692458550359636248744797905445e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.734 y[1] (analytic) = 1.8362856405262994783471891854437 y[1] (numeric) = 1.8362856405262994783471891854443 absolute error = 6e-31 relative error = 3.2674655116729740399696651587349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.735 y[1] (analytic) = 1.8372856323466021487817604845245 y[1] (numeric) = 1.8372856323466021487817604845252 absolute error = 7e-31 relative error = 3.8099682905915506575357563644037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.4MB, time=18.24 x[1] = 1.736 y[1] (analytic) = 1.8382856242158358637448728560396 y[1] (numeric) = 1.8382856242158358637448728560403 absolute error = 7e-31 relative error = 3.8078957414389917100260651257696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.737 y[1] (analytic) = 1.8392856161337079183421012025915 y[1] (numeric) = 1.8392856161337079183421012025922 absolute error = 7e-31 relative error = 3.8058254458132678628346912899568e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.738 y[1] (analytic) = 1.8402856080999273586219169222364 y[1] (numeric) = 1.8402856080999273586219169222371 absolute error = 7e-31 relative error = 3.8037574000415160395990452785634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.739 y[1] (analytic) = 1.8412856001142049711018221718967 y[1] (numeric) = 1.8412856001142049711018221718975 absolute error = 8e-31 relative error = 4.3447904005243962902140965757112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (analytic) = 1.8422855921762532723571351450531 y[1] (numeric) = 1.8422855921762532723571351450538 absolute error = 7e-31 relative error = 3.7996280434083225048689109077368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.741 y[1] (analytic) = 1.8432855842857864986720516311293 y[1] (numeric) = 1.84328558428578649867205163113 absolute error = 7e-31 relative error = 3.7975667252409362423136618601404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.742 y[1] (analytic) = 1.8442855764425205957526103650791 y[1] (numeric) = 1.8442855764425205957526103650798 absolute error = 7e-31 relative error = 3.7955076423155899024061551226205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.743 y[1] (analytic) = 1.8452855686461732085011919033704 y[1] (numeric) = 1.845285568646173208501191903371 absolute error = 6e-31 relative error = 3.2515292494277768677383278183640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.744 y[1] (analytic) = 1.8462855608964636708521829769367 y[1] (numeric) = 1.8462855608964636708521829769373 absolute error = 6e-31 relative error = 3.2497681437137497411114927349362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.745 y[1] (analytic) = 1.8472855531931129956684404727991 y[1] (numeric) = 1.8472855531931129956684404727998 absolute error = 7e-31 relative error = 3.7893437686989957600826854595829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.746 y[1] (analytic) = 1.8482855455358438646981913840306 y[1] (numeric) = 1.8482855455358438646981913840312 absolute error = 6e-31 relative error = 3.2462516489899378456819317255062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.747 y[1] (analytic) = 1.8492855379243806185920072426255 y[1] (numeric) = 1.8492855379243806185920072426262 absolute error = 7e-31 relative error = 3.7852456294319638663474765630700e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.748 y[1] (analytic) = 1.8502855303584492469794937117254 y[1] (numeric) = 1.850285530358449246979493711726 absolute error = 6e-31 relative error = 3.2427427559451547464586458315908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.749 y[1] (analytic) = 1.8512855228377773786053381626054 y[1] (numeric) = 1.851285522837777378605338162606 absolute error = 6e-31 relative error = 3.2409911523549261183586330893322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=18.63 x[1] = 1.75 y[1] (analytic) = 1.8522855153620942715243601979444 y[1] (numeric) = 1.852285515362094271524360197945 absolute error = 6e-31 relative error = 3.2392414399607769056628847713592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.751 y[1] (analytic) = 1.8532855079311308033552122062334 y[1] (numeric) = 1.853285507931130803355212206234 absolute error = 6e-31 relative error = 3.2374936157019599294551993668143e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.752 y[1] (analytic) = 1.8542855005446194615923791428248 y[1] (numeric) = 1.8542855005446194615923791428254 absolute error = 6e-31 relative error = 3.2357476765243264009574197539191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.753 y[1] (analytic) = 1.8552854932022943339761288311444 y[1] (numeric) = 1.8552854932022943339761288311451 absolute error = 7e-31 relative error = 3.7730042226103595279381164215712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.754 y[1] (analytic) = 1.8562854859038910989200661630704 y[1] (numeric) = 1.8562854859038910989200661630711 absolute error = 7e-31 relative error = 3.7709716814337166801002207749415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.755 y[1] (analytic) = 1.8572854786491470159959466504879 y[1] (numeric) = 1.8572854786491470159959466504886 absolute error = 7e-31 relative error = 3.7689413288749156864387278008929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.756 y[1] (analytic) = 1.8582854714378009164754068406473 y[1] (numeric) = 1.8582854714378009164754068406479 absolute error = 6e-31 relative error = 3.2287827097726019785264776010876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.757 y[1] (analytic) = 1.8592854642695931939282711562419 y[1] (numeric) = 1.8592854642695931939282711562425 absolute error = 6e-31 relative error = 3.2270461504183578780212433008903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.758 y[1] (analytic) = 1.8602854571442657948770967571724 y[1] (numeric) = 1.8602854571442657948770967571729 absolute error = 5e-31 relative error = 2.6877595482983170105630927177300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.759 y[1] (analytic) = 1.8612854500615622095076200448314 y[1] (numeric) = 1.8612854500615622095076200448319 absolute error = 5e-31 relative error = 2.6863155244858463170590142981650e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (analytic) = 1.862285443021227462434770441518 y[1] (numeric) = 1.8622854430212274624347704415185 absolute error = 5e-31 relative error = 2.6848730514095561010939374879955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.761 y[1] (analytic) = 1.8632854360230081035239190773286 y[1] (numeric) = 1.8632854360230081035239190773291 absolute error = 5e-31 relative error = 2.6834321265731501782813240643156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.762 y[1] (analytic) = 1.8642854290666521987670320046582 y[1] (numeric) = 1.8642854290666521987670320046588 absolute error = 6e-31 relative error = 3.2183912969828222283248961669268e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.763 y[1] (analytic) = 1.8652854221519093212133995363445 y[1] (numeric) = 1.8652854221519093212133995363451 absolute error = 6e-31 relative error = 3.2166658939938675334123200982600e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.259 Order of pole = 0.0005012 memory used=186.9MB, alloc=4.4MB, time=19.02 TOP MAIN SOLVE Loop x[1] = 1.764 y[1] (analytic) = 1.8662854152785305419546152675696 y[1] (numeric) = 1.8662854152785305419546152675702 absolute error = 6e-31 relative error = 3.2149423399445793599058895066171e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.26 Order of pole = 0.005466 TOP MAIN SOLVE Loop x[1] = 1.765 y[1] (analytic) = 1.8672854084462684211634802939782 y[1] (numeric) = 1.8672854084462684211634802939787 absolute error = 5e-31 relative error = 2.6776838598874940983167979784814e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.262 Order of pole = 0.01044 TOP MAIN SOLVE Loop x[1] = 1.766 y[1] (analytic) = 1.8682854016548769991865100791332 y[1] (numeric) = 1.8682854016548769991865100791338 absolute error = 6e-31 relative error = 3.2115007667914983696639223627967e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.264 Order of pole = 0.01543 TOP MAIN SOLVE Loop x[1] = 1.767 y[1] (analytic) = 1.8692853949041117876897233534969 y[1] (numeric) = 1.8692853949041117876897233534975 absolute error = 6e-31 relative error = 3.2097827417668238557079183115116e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.266 Order of pole = 0.02042 TOP MAIN SOLVE Loop x[1] = 1.768 y[1] (analytic) = 1.8702853881937297608573943446488 y[1] (numeric) = 1.8702853881937297608573943446494 absolute error = 6e-31 relative error = 3.2080665538400185767317602559459e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.267 Order of pole = 0.02542 TOP MAIN SOLVE Loop x[1] = 1.769 y[1] (analytic) = 1.8712853815234893466434515445185 y[1] (numeric) = 1.8712853815234893466434515445191 absolute error = 6e-31 relative error = 3.2063522000664359284482798104340e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.269 Order of pole = 0.03042 TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (analytic) = 1.8722853748931504180752081140726 y[1] (numeric) = 1.8722853748931504180752081140731 absolute error = 5e-31 relative error = 2.6705330645897639089702068093096e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.271 Order of pole = 0.03542 TOP MAIN SOLVE Loop x[1] = 1.771 y[1] (analytic) = 1.8732853683024742846091109092331 y[1] (numeric) = 1.8732853683024742846091109092336 absolute error = 5e-31 relative error = 2.6691074860264768921311079761531e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.272 Order of pole = 0.04043 TOP MAIN SOLVE Loop x[1] = 1.772 y[1] (analytic) = 1.8742853617512236835381969838791 y[1] (numeric) = 1.8742853617512236835381969838796 absolute error = 5e-31 relative error = 2.6676834285939733316082964738110e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.274 Order of pole = 0.04542 TOP MAIN SOLVE Loop x[1] = 1.773 y[1] (analytic) = 1.8752853552391627714509482866625 y[1] (numeric) = 1.8752853552391627714509482866629 absolute error = 4e-31 relative error = 2.1330087118874043171611027269226e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.276 Order of pole = 0.05042 TOP MAIN SOLVE Loop x[1] = 1.774 y[1] (analytic) = 1.8762853487660571157412371181234 y[1] (numeric) = 1.8762853487660571157412371181239 absolute error = 5e-31 relative error = 2.6648398673945091518518331086618e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.278 Order of pole = 0.0554 TOP MAIN SOLVE Loop x[1] = 1.775 y[1] (analytic) = 1.877285342331673686169056753284 y[1] (numeric) = 1.8772853423316736861690567532845 absolute error = 5e-31 relative error = 2.6634203587770907720573309908632e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.279 Order of pole = 0.06038 TOP MAIN SOLVE Loop x[1] = 1.776 y[1] (analytic) = 1.8782853359357808464717334625951 y[1] (numeric) = 1.8782853359357808464717334625956 absolute error = 5e-31 relative error = 2.6620023615895127971927716820758e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.281 Order of pole = 0.06534 TOP MAIN SOLVE Loop x[1] = 1.777 y[1] (analytic) = 1.8792853295781483460253179808824 y[1] (numeric) = 1.879285329578148346025317980883 absolute error = 6e-31 relative error = 3.1927030481033165205905123743831e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.283 Order of pole = 0.07029 memory used=190.7MB, alloc=4.4MB, time=19.41 TOP MAIN SOLVE Loop x[1] = 1.778 y[1] (analytic) = 1.8802853232585473115558562798439 y[1] (numeric) = 1.8802853232585473115558562798445 absolute error = 6e-31 relative error = 3.1910050702315534789347103218158e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.284 Order of pole = 0.07522 TOP MAIN SOLVE Loop x[1] = 1.779 y[1] (analytic) = 1.8812853169767502389002412947557 y[1] (numeric) = 1.8812853169767502389002412947562 absolute error = 5e-31 relative error = 2.6577574145080048083681628409298e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.286 Order of pole = 0.08014 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (analytic) = 1.8822853107325309848163490404195 y[1] (numeric) = 1.8822853107325309848163490404201 absolute error = 6e-31 relative error = 3.1876145267610751270734877297206e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.288 Order of pole = 0.08503 TOP MAIN SOLVE Loop x[1] = 1.781 y[1] (analytic) = 1.8832853045256647588421643250882 y[1] (numeric) = 1.8832853045256647588421643250887 absolute error = 5e-31 relative error = 2.6549349628463910389085271342510e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.289 Order of pole = 0.0899 TOP MAIN SOLVE Loop x[1] = 1.782 y[1] (analytic) = 1.8842852983559281152036030341992 y[1] (numeric) = 1.8842852983559281152036030341997 absolute error = 5e-31 relative error = 2.6535259837576546744129780995063e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.291 Order of pole = 0.09475 TOP MAIN SOLVE Loop x[1] = 1.783 y[1] (analytic) = 1.8852852922230989447707397083075 y[1] (numeric) = 1.885285292223098944770739708308 absolute error = 5e-31 relative error = 2.6521184993195794588497983495879e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.293 Order of pole = 0.09956 TOP MAIN SOLVE Loop x[1] = 1.784 y[1] (analytic) = 1.8862852861269564670621508816774 y[1] (numeric) = 1.8862852861269564670621508816779 absolute error = 5e-31 relative error = 2.6507125071554393203775905850219e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.294 Order of pole = 0.1043 TOP MAIN SOLVE Loop x[1] = 1.785 y[1] (analytic) = 1.8872852800672812222970863796561 y[1] (numeric) = 1.8872852800672812222970863796565 absolute error = 4e-31 relative error = 2.1194464039148342508936676010413e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.296 Order of pole = 0.1091 TOP MAIN SOLVE Loop x[1] = 1.786 y[1] (analytic) = 1.8882852740438550634951824942516 y[1] (numeric) = 1.888285274043855063495182494252 absolute error = 4e-31 relative error = 2.1183239921337758453660454685174e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.297 Order of pole = 0.1138 TOP MAIN SOLVE Loop x[1] = 1.787 y[1] (analytic) = 1.8892852680564611486234326683506 y[1] (numeric) = 1.8892852680564611486234326683511 absolute error = 5e-31 relative error = 2.6465034606148082105183696527845e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.299 Order of pole = 0.1185 TOP MAIN SOLVE Loop x[1] = 1.788 y[1] (analytic) = 1.8902852621048839327901330197886 y[1] (numeric) = 1.8902852621048839327901330197891 absolute error = 5e-31 relative error = 2.6451034138796407498603754946619e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.301 Order of pole = 0.1231 TOP MAIN SOLVE Loop x[1] = 1.789 y[1] (analytic) = 1.8912852561889091604855217270951 y[1] (numeric) = 1.8912852561889091604855217270956 absolute error = 5e-31 relative error = 2.6437048476100317765425887431434e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.302 Order of pole = 0.1277 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (analytic) = 1.8922852503083238578688329792355 y[1] (numeric) = 1.8922852503083238578688329792361 absolute error = 6e-31 relative error = 3.1707693113511169489442042597932e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.304 Order of pole = 0.1323 TOP MAIN SOLVE Loop x[1] = 1.791 y[1] (analytic) = 1.8932852444629163251014878621227 y[1] (numeric) = 1.8932852444629163251014878621233 memory used=194.5MB, alloc=4.4MB, time=19.80 absolute error = 6e-31 relative error = 3.1690945765026912050164999866919e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.305 Order of pole = 0.1368 TOP MAIN SOLVE Loop x[1] = 1.792 y[1] (analytic) = 1.8942852386524761287261462151304 y[1] (numeric) = 1.894285238652476128726146215131 absolute error = 6e-31 relative error = 3.1674216097825775328169060439365e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.307 Order of pole = 0.1413 TOP MAIN SOLVE Loop x[1] = 1.793 y[1] (analytic) = 1.8952852328767940940913451413767 y[1] (numeric) = 1.8952852328767940940913451413772 absolute error = 5e-31 relative error = 2.6381253403270897655200469230494e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.308 Order of pole = 0.1457 TOP MAIN SOLVE Loop x[1] = 1.794 y[1] (analytic) = 1.8962852271356622978214514962048 y[1] (numeric) = 1.8962852271356622978214514962053 absolute error = 5e-31 relative error = 2.6367341412834276051918103550120e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.31 Order of pole = 0.15 TOP MAIN SOLVE Loop x[1] = 1.795 y[1] (analytic) = 1.8972852214288740603316573091431 y[1] (numeric) = 1.8972852214288740603316573091436 absolute error = 5e-31 relative error = 2.6353444086990909750352660866338e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.311 Order of pole = 0.1543 TOP MAIN SOLVE Loop x[1] = 1.796 y[1] (analytic) = 1.8982852157562239383877487157233 y[1] (numeric) = 1.8982852157562239383877487157239 absolute error = 6e-31 relative error = 3.1607473683082798371208936012174e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.313 Order of pole = 0.1585 TOP MAIN SOLVE Loop x[1] = 1.797 y[1] (analytic) = 1.8992852101175077177103805869436 y[1] (numeric) = 1.8992852101175077177103805869441 absolute error = 5e-31 relative error = 2.6325693336445518816466176085768e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.314 Order of pole = 0.1627 TOP MAIN SOLVE Loop x[1] = 1.798 y[1] (analytic) = 1.9002852045125224056235906459309 y[1] (numeric) = 1.9002852045125224056235906459314 absolute error = 5e-31 relative error = 2.6311839865546094382855396821348e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.316 Order of pole = 0.1668 TOP MAIN SOLVE Loop x[1] = 1.799 y[1] (analytic) = 1.901285198941066223747288453551 y[1] (numeric) = 1.9012851989410662237472884535515 absolute error = 5e-31 relative error = 2.6298000966844869707984103162930e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.317 Order of pole = 0.1709 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = 1.9022851934029386007334562273811 y[1] (numeric) = 1.9022851934029386007334562273816 absolute error = 5e-31 relative error = 2.6284176617364382046350800348572e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.319 Order of pole = 0.1748 TOP MAIN SOLVE Loop x[1] = 1.801 y[1] (analytic) = 1.9032851878979401650458000316701 y[1] (numeric) = 1.9032851878979401650458000316707 absolute error = 6e-31 relative error = 3.1524440153010521489457316272189e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.32 Order of pole = 0.1787 TOP MAIN SOLVE Loop x[1] = 1.802 y[1] (analytic) = 1.9042851824258727377825914397068 y[1] (numeric) = 1.9042851824258727377825914397073 absolute error = 5e-31 relative error = 2.6256571474396969823931691427016e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.322 Order of pole = 0.1825 TOP MAIN SOLVE Loop x[1] = 1.803 y[1] (analytic) = 1.9052851769865393255424413244643 y[1] (numeric) = 1.9052851769865393255424413244648 absolute error = 5e-31 relative error = 2.6242790635195943510769381295156e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.323 Order of pole = 0.1863 TOP MAIN SOLVE Loop x[1] = 1.804 y[1] (analytic) = 1.9062851715797441133327489785427 y[1] (numeric) = 1.9062851715797441133327489785432 absolute error = 5e-31 relative error = 2.6229024253787198762406452425850e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.325 Order of pole = 0.1899 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=20.20 x[1] = 1.805 y[1] (analytic) = 1.9072851662052924575205713003392 y[1] (numeric) = 1.9072851662052924575205713003397 absolute error = 5e-31 relative error = 2.6215272307433340738013180626996e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.326 Order of pole = 0.1935 TOP MAIN SOLVE Loop x[1] = 1.806 y[1] (analytic) = 1.9082851608629908788256583101072 y[1] (numeric) = 1.9082851608629908788256583101076 absolute error = 4e-31 relative error = 2.0961227818755689313974013649424e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.327 Order of pole = 0.197 TOP MAIN SOLVE Loop x[1] = 1.807 y[1] (analytic) = 1.909285155552647055355402777158 y[1] (numeric) = 1.9092851555526470553554027771584 absolute error = 4e-31 relative error = 2.0950249303343012905553076213154e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.329 Order of pole = 0.2004 TOP MAIN SOLVE Loop x[1] = 1.808 y[1] (analytic) = 1.910285150274069815681453247986 y[1] (numeric) = 1.9102851502740698156814532479864 absolute error = 4e-31 relative error = 2.0939282281632757687809587108630e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.33 Order of pole = 0.2038 TOP MAIN SOLVE Loop x[1] = 1.809 y[1] (analytic) = 1.9112851450270691319577412645941 y[1] (numeric) = 1.9112851450270691319577412645945 absolute error = 4e-31 relative error = 2.0928326735586849528901494755585e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.331 Order of pole = 0.207 TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (analytic) = 1.9122851398114561130796750528346 y[1] (numeric) = 1.912285139811456113079675052835 absolute error = 4e-31 relative error = 2.0917382647204927100204195004855e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.333 Order of pole = 0.2101 TOP MAIN SOLVE Loop x[1] = 1.811 y[1] (analytic) = 1.9132851346270429978842534421993 y[1] (numeric) = 1.9132851346270429978842534421997 absolute error = 4e-31 relative error = 2.0906449998524243442853255577050e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.334 Order of pole = 0.2131 TOP MAIN SOLVE Loop x[1] = 1.812 y[1] (analytic) = 1.9142851294736431483908552512532 y[1] (numeric) = 1.9142851294736431483908552512535 absolute error = 3e-31 relative error = 1.5671646578714675881488710953998e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.335 Order of pole = 0.2161 TOP MAIN SOLVE Loop x[1] = 1.813 y[1] (analytic) = 1.91528512435107104308246083686 y[1] (numeric) = 1.9152851243510710430824608368604 absolute error = 4e-31 relative error = 2.0884618948603088007555676782964e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.337 Order of pole = 0.2189 TOP MAIN SOLVE Loop x[1] = 1.814 y[1] (analytic) = 1.9162851192591422702270639605479 y[1] (numeric) = 1.9162851192591422702270639605483 absolute error = 4e-31 relative error = 2.0873720511624312560626028952172e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.338 Order of pole = 0.2216 TOP MAIN SOLVE Loop x[1] = 1.815 y[1] (analytic) = 1.9172851141976735212390335718571 y[1] (numeric) = 1.9172851141976735212390335718575 absolute error = 4e-31 relative error = 2.0862833442869973823999773844863e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.339 Order of pole = 0.2242 TOP MAIN SOLVE Loop x[1] = 1.816 y[1] (analytic) = 1.9182851091664825840801865463622 y[1] (numeric) = 1.9182851091664825840801865463626 absolute error = 4e-31 relative error = 2.0851957724563930916112736208007e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.34 Order of pole = 0.2267 TOP MAIN SOLVE Loop x[1] = 1.817 y[1] (analytic) = 1.9192851041653883367003338453062 y[1] (numeric) = 1.9192851041653883367003338453066 absolute error = 4e-31 relative error = 2.0841093338967073147071029825984e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.342 Order of pole = 0.2291 TOP MAIN SOLVE Loop x[1] = 1.818 y[1] (analytic) = 1.9202850991942107405170639844869 y[1] (numeric) = 1.9202850991942107405170639844872 absolute error = 3e-31 relative error = 1.5622680201282917786807015323314e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.343 Order of pole = 0.2314 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=20.58 x[1] = 1.819 y[1] (analytic) = 1.9212850942527708339345291122402 y[1] (numeric) = 1.9212850942527708339345291122405 absolute error = 3e-31 relative error = 1.5614548871346782780108433709647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.344 Order of pole = 0.2335 TOP MAIN SOLVE Loop x[1] = 1.82 y[1] (analytic) = 1.9222850893408907259010004001263 y[1] (numeric) = 1.9222850893408907259010004001266 absolute error = 3e-31 relative error = 1.5606426001195452290028264028495e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.345 Order of pole = 0.2355 TOP MAIN SOLVE Loop x[1] = 1.821 y[1] (analytic) = 1.9232850844583935895049608452877 y[1] (numeric) = 1.923285084458393589504960845288 absolute error = 3e-31 relative error = 1.5598311577634963847986209511170e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.346 Order of pole = 0.2374 TOP MAIN SOLVE Loop x[1] = 1.822 y[1] (analytic) = 1.9242850796051036556095049704719 y[1] (numeric) = 1.9242850796051036556095049704722 absolute error = 3e-31 relative error = 1.5590205587498768734827759340692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.347 Order of pole = 0.2392 TOP MAIN SOLVE Loop x[1] = 1.823 y[1] (analytic) = 1.9252850747808462065248162864353 y[1] (numeric) = 1.9252850747808462065248162864356 absolute error = 3e-31 relative error = 1.5582108017647660870381784770400e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.349 Order of pole = 0.2408 TOP MAIN SOLVE Loop x[1] = 1.824 y[1] (analytic) = 1.9262850699854475697184947519281 y[1] (numeric) = 1.9262850699854475697184947519284 absolute error = 3e-31 relative error = 1.5574018854969705923947069183703e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.35 Order of pole = 0.2423 TOP MAIN SOLVE Loop x[1] = 1.825 y[1] (analytic) = 1.9272850652187351115635078287443 y[1] (numeric) = 1.9272850652187351115635078287446 absolute error = 3e-31 relative error = 1.5565938086380170644909230286783e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.351 Order of pole = 0.2437 TOP MAIN SOLVE Loop x[1] = 1.826 y[1] (analytic) = 1.9282850604805372311235400834602 y[1] (numeric) = 1.9282850604805372311235400834605 absolute error = 3e-31 relative error = 1.5557865698821452412692778560091e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.352 Order of pole = 0.2449 TOP MAIN SOLVE Loop x[1] = 1.827 y[1] (analytic) = 1.9292850557706833539755176335262 y[1] (numeric) = 1.9292850557706833539755176335266 absolute error = 4e-31 relative error = 2.0733068905684012007008435854668e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.353 Order of pole = 0.246 TOP MAIN SOLVE Loop x[1] = 1.828 y[1] (analytic) = 1.9302850510890039260690850733672 y[1] (numeric) = 1.9302850510890039260690850733676 absolute error = 4e-31 relative error = 2.0722328019601718113789629394977e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.354 Order of pole = 0.247 TOP MAIN SOLVE Loop x[1] = 1.829 y[1] (analytic) = 1.9312850464353304076228138461364 y[1] (numeric) = 1.9312850464353304076228138461367 absolute error = 3e-31 relative error = 1.5533698692159659903695109395030e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.355 Order of pole = 0.2478 TOP MAIN SOLVE Loop x[1] = 1.83 y[1] (analytic) = 1.9322850418094952670569223488049 y[1] (numeric) = 1.9322850418094952670569223488053 absolute error = 4e-31 relative error = 2.0700879598251123624622890851938e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.356 Order of pole = 0.2484 TOP MAIN SOLVE Loop x[1] = 1.831 y[1] (analytic) = 1.9332850372113319749622893723989 y[1] (numeric) = 1.9332850372113319749622893723993 absolute error = 4e-31 relative error = 2.0690172028485784573374620422851e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.357 Order of pole = 0.2489 TOP MAIN SOLVE Loop x[1] = 1.832 y[1] (analytic) = 1.9342850326406749981055437854654 y[1] (numeric) = 1.9342850326406749981055437854658 absolute error = 4e-31 relative error = 2.0679475529721814573898764149908e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.358 Order of pole = 0.2492 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.4MB, time=20.97 x[1] = 1.833 y[1] (analytic) = 1.9352850280973597934700146673113 y[1] (numeric) = 1.9352850280973597934700146673116 absolute error = 3e-31 relative error = 1.5501592563599767666652775558780e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.359 Order of pole = 0.2494 TOP MAIN SOLVE Loop x[1] = 1.834 y[1] (analytic) = 1.9362850235812228023323273882497 y[1] (numeric) = 1.93628502358122280233232738825 absolute error = 3e-31 relative error = 1.5493586757446490917085357718217e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.359 Order of pole = 0.2494 TOP MAIN SOLVE Loop x[1] = 1.835 y[1] (analytic) = 1.9372850190921014443744324170681 y[1] (numeric) = 1.9372850190921014443744324170684 absolute error = 3e-31 relative error = 1.5485589216014969280168622830715e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.36 Order of pole = 0.2493 TOP MAIN SOLVE Loop x[1] = 1.836 y[1] (analytic) = 1.9382850146298341118308549112308 y[1] (numeric) = 1.9382850146298341118308549112311 absolute error = 3e-31 relative error = 1.5477599926515079374704420915947e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.361 Order of pole = 0.249 TOP MAIN SOLVE Loop x[1] = 1.837 y[1] (analytic) = 1.9392850101942601636709544130083 y[1] (numeric) = 1.9392850101942601636709544130086 absolute error = 3e-31 relative error = 1.5469618876183067750926095895690e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.362 Order of pole = 0.2485 TOP MAIN SOLVE Loop x[1] = 1.838 y[1] (analytic) = 1.9402850057852199198159852348205 y[1] (numeric) = 1.9402850057852199198159852348208 absolute error = 3e-31 relative error = 1.5461646052281483011617867582157e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.363 Order of pole = 0.2479 TOP MAIN SOLVE Loop x[1] = 1.839 y[1] (analytic) = 1.9412850014025546553907493696378 y[1] (numeric) = 1.9412850014025546553907493696381 absolute error = 3e-31 relative error = 1.5453681442099108142523259913548e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.363 Order of pole = 0.2471 TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (analytic) = 1.9422849970461065950096350073564 y[1] (numeric) = 1.9422849970461065950096350073567 absolute error = 3e-31 relative error = 1.5445725032950893051291767685357e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.364 Order of pole = 0.2461 TOP MAIN SOLVE Loop x[1] = 1.841 y[1] (analytic) = 1.9432849927157189070968349756842 y[1] (numeric) = 1.9432849927157189070968349756844 absolute error = 2e-31 relative error = 1.0291851208118591542810680530958e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.365 Order of pole = 0.2449 TOP MAIN SOLVE Loop x[1] = 1.842 y[1] (analytic) = 1.9442849884112356982405406542954 y[1] (numeric) = 1.9442849884112356982405406542956 absolute error = 2e-31 relative error = 1.0286557844764782086676505182346e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.366 Order of pole = 0.2436 TOP MAIN SOLVE Loop x[1] = 1.843 y[1] (analytic) = 1.9452849841325020075809081338783 y[1] (numeric) = 1.9452849841325020075809081338784 absolute error = 1e-31 relative error = 5.1406349617505994933066530426185e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.366 Order of pole = 0.242 TOP MAIN SOLVE Loop x[1] = 1.844 y[1] (analytic) = 1.9462849798793638012315946072474 y[1] (numeric) = 1.9462849798793638012315946072475 absolute error = 1e-31 relative error = 5.1379937179702368311098386677587e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.367 Order of pole = 0.2403 TOP MAIN SOLVE Loop x[1] = 1.845 y[1] (analytic) = 1.947284975651667966734664187978 y[1] (numeric) = 1.9472849756516679667346641879781 absolute error = 1e-31 relative error = 5.1353551868562296727632735554749e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.368 Order of pole = 0.2384 TOP MAIN SOLVE Loop x[1] = 1.846 y[1] (analytic) = 1.9482849714492623075486635530712 y[1] (numeric) = 1.9482849714492623075486635530713 absolute error = 1e-31 relative error = 5.1327193642320934653585542456132e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.368 Order of pole = 0.2363 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=21.36 x[1] = 1.847 y[1] (analytic) = 1.9492849672719955375696690000348 y[1] (numeric) = 1.9492849672719955375696690000349 absolute error = 1e-31 relative error = 5.1300862459299104797125995754409e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.369 Order of pole = 0.234 TOP MAIN SOLVE Loop x[1] = 1.848 y[1] (analytic) = 1.9502849631197172756851076954957 y[1] (numeric) = 1.9502849631197172756851076954958 absolute error = 1e-31 relative error = 5.1274558277903078705638441741868e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.369 Order of pole = 0.2315 TOP MAIN SOLVE Loop x[1] = 1.849 y[1] (analytic) = 1.9512849589922780403601570720953 y[1] (numeric) = 1.9512849589922780403601570720954 absolute error = 1e-31 relative error = 5.1248281056624358040742003266036e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.37 Order of pole = 0.2289 TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (analytic) = 1.9522849548895292442565275030021 y[1] (numeric) = 1.9522849548895292442565275030023 absolute error = 2e-31 relative error = 1.0244406150807891304793067891875e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.37 Order of pole = 0.226 TOP MAIN SOLVE Loop x[1] = 1.851 y[1] (analytic) = 1.9532849508113231888834345489421 y[1] (numeric) = 1.9532849508113231888834345489422 absolute error = 1e-31 relative error = 5.1195807328809682550683769489166e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.371 Order of pole = 0.2229 TOP MAIN SOLVE Loop x[1] = 1.852 y[1] (analytic) = 1.9542849467575130592805682312456 y[1] (numeric) = 1.9542849467575130592805682312458 absolute error = 2e-31 relative error = 1.0233922147936184493987140865700e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.371 Order of pole = 0.2196 TOP MAIN SOLVE Loop x[1] = 1.853 y[1] (analytic) = 1.9552849427279529187328679360809 y[1] (numeric) = 1.9552849427279529187328679360811 absolute error = 2e-31 relative error = 1.0228688189096684905549001479970e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.372 Order of pole = 0.2161 TOP MAIN SOLVE Loop x[1] = 1.854 y[1] (analytic) = 1.9562849387224977035169126998209 y[1] (numeric) = 1.9562849387224977035169126998211 absolute error = 2e-31 relative error = 1.0223459581026316694317107558422e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.372 Order of pole = 0.2124 TOP MAIN SOLVE Loop x[1] = 1.855 y[1] (analytic) = 1.9572849347410032176787377634302 y[1] (numeric) = 1.9572849347410032176787377634305 absolute error = 3e-31 relative error = 1.5327354473287117744090115646121e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.372 Order of pole = 0.2085 TOP MAIN SOLVE Loop x[1] = 1.856 y[1] (analytic) = 1.9582849307833261278428894148846 y[1] (numeric) = 1.9582849307833261278428894148849 absolute error = 3e-31 relative error = 1.5319527576612568725139356061764e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.373 Order of pole = 0.2043 TOP MAIN SOLVE Loop x[1] = 1.857 y[1] (analytic) = 1.9592849268493239580525312630025 y[1] (numeric) = 1.9592849268493239580525312630027 absolute error = 2e-31 relative error = 1.0207805779510328347371148863751e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.373 Order of pole = 0.2 TOP MAIN SOLVE Loop x[1] = 1.858 y[1] (analytic) = 1.9602849229388550846404162037078 y[1] (numeric) = 1.960284922938855084640416203708 absolute error = 2e-31 relative error = 1.0202598492680360742274993193833e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.373 Order of pole = 0.1954 TOP MAIN SOLVE Loop x[1] = 1.859 y[1] (analytic) = 1.9612849190517787311305394507006 y[1] (numeric) = 1.9612849190517787311305394507008 absolute error = 2e-31 relative error = 1.0197396515784860194286578272711e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1906 TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (analytic) = 1.9622849151879549631702891068227 y[1] (numeric) = 1.9622849151879549631702891068229 absolute error = 2e-31 relative error = 1.0192199840706784139099255056881e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1856 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.4MB, time=21.75 x[1] = 1.861 y[1] (analytic) = 1.9632849113472446834929118501161 y[1] (numeric) = 1.9632849113472446834929118501163 absolute error = 2e-31 relative error = 1.0187008459345621422032573302360e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1803 TOP MAIN SOLVE Loop x[1] = 1.862 y[1] (analytic) = 1.9642849075295096269101123997127 y[1] (numeric) = 1.9642849075295096269101123997129 absolute error = 2e-31 relative error = 1.0181822363617350259962028039925e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1749 TOP MAIN SOLVE Loop x[1] = 1.863 y[1] (analytic) = 1.9652849037346123553346065113136 y[1] (numeric) = 1.9652849037346123553346065113138 absolute error = 2e-31 relative error = 1.0176641545454396331307764511709e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1692 TOP MAIN SOLVE Loop x[1] = 1.864 y[1] (analytic) = 1.9662848999624162528324483301442 y[1] (numeric) = 1.9662848999624162528324483301444 absolute error = 2e-31 relative error = 1.0171465996805590993628283598545e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1632 TOP MAIN SOLVE Loop x[1] = 1.865 y[1] (analytic) = 1.9672848962127855207049540009585 y[1] (numeric) = 1.9672848962127855207049540009587 absolute error = 2e-31 relative error = 1.0166295709636129628367022399386e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1571 TOP MAIN SOLVE Loop x[1] = 1.866 y[1] (analytic) = 1.9682848924855851726000444999352 y[1] (numeric) = 1.9682848924855851726000444999354 absolute error = 2e-31 relative error = 1.0161130675927530112301508970618e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1507 TOP MAIN SOLVE Loop x[1] = 1.867 y[1] (analytic) = 1.9692848887806810296528317122146 y[1] (numeric) = 1.9692848887806810296528317122148 absolute error = 2e-31 relative error = 1.0155970887677591415246606335558e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.144 TOP MAIN SOLVE Loop x[1] = 1.868 y[1] (analytic) = 1.9702848850979397156552728313939 y[1] (numeric) = 1.9702848850979397156552728313941 absolute error = 2e-31 relative error = 1.0150816336900352323565168774053e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1371 TOP MAIN SOLVE Loop x[1] = 1.869 y[1] (analytic) = 1.9712848814372286522547192035724 y[1] (numeric) = 1.9712848814372286522547192035726 absolute error = 2e-31 relative error = 1.0145667015626050289041233139812e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.13 TOP MAIN SOLVE Loop x[1] = 1.87 y[1] (analytic) = 1.972284877798416054181186778558 y[1] (numeric) = 1.9722848777984160541811867785582 absolute error = 2e-31 relative error = 1.0140522915901080402672659569622e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1227 TOP MAIN SOLVE Loop x[1] = 1.871 y[1] (analytic) = 1.9732848741813709245031763646417 y[1] (numeric) = 1.9732848741813709245031763646419 absolute error = 2e-31 relative error = 1.0135384029787954492941919484449e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.115 TOP MAIN SOLVE Loop x[1] = 1.872 y[1] (analytic) = 1.9742848705859630499118729109631 y[1] (numeric) = 1.9742848705859630499118729109634 absolute error = 3e-31 relative error = 1.5195375524047890522188256416770e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.1072 TOP MAIN SOLVE Loop x[1] = 1.873 y[1] (analytic) = 1.9752848670120629960335540629591 y[1] (numeric) = 1.9752848670120629960335540629594 absolute error = 3e-31 relative error = 1.5187682800091431593306293373319e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.09907 TOP MAIN SOLVE Loop x[1] = 1.874 y[1] (analytic) = 1.976284863459542102770039251746 y[1] (numeric) = 1.9762848634595421027700392517463 absolute error = 3e-31 relative error = 1.5179997860978481755907296306984e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.374 Order of pole = 0.0907 memory used=217.4MB, alloc=4.4MB, time=22.13 TOP MAIN SOLVE Loop x[1] = 1.875 y[1] (analytic) = 1.9772848599282724796670115875758 y[1] (numeric) = 1.9772848599282724796670115875761 absolute error = 3e-31 relative error = 1.5172320694898899363009324656956e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.373 Order of pole = 0.08209 TOP MAIN SOLVE Loop x[1] = 1.876 y[1] (analytic) = 1.9782848564181270013100458307564 y[1] (numeric) = 1.9782848564181270013100458307567 absolute error = 3e-31 relative error = 1.5164651290066413888663975276647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.373 Order of pole = 0.07322 TOP MAIN SOLVE Loop x[1] = 1.877 y[1] (analytic) = 1.9792848529289793027481767106771 y[1] (numeric) = 1.9792848529289793027481767106774 absolute error = 3e-31 relative error = 1.5156989634718565681913178830161e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.373 Order of pole = 0.0641 TOP MAIN SOLVE Loop x[1] = 1.878 y[1] (analytic) = 1.9802848494607037749448428548685 y[1] (numeric) = 1.9802848494607037749448428548688 absolute error = 3e-31 relative error = 1.5149335717116645902903448021073e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.372 Order of pole = 0.05471 TOP MAIN SOLVE Loop x[1] = 1.879 y[1] (analytic) = 1.9812848460131755602560425753837 y[1] (numeric) = 1.9812848460131755602560425753839 absolute error = 2e-31 relative error = 1.0094459683697091093677731838842e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.372 Order of pole = 0.04507 TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (analytic) = 1.9822848425862705479355387392523 y[1] (numeric) = 1.9822848425862705479355387392526 absolute error = 3e-31 relative error = 1.5134051048314151210878526257851e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.372 Order of pole = 0.03517 TOP MAIN SOLVE Loop x[1] = 1.881 y[1] (analytic) = 1.9832848391798653696669509233684 y[1] (numeric) = 1.9832848391798653696669509233687 absolute error = 3e-31 relative error = 1.5126420273754374636110203443083e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.371 Order of pole = 0.025 TOP MAIN SOLVE Loop x[1] = 1.882 y[1] (analytic) = 1.9842848357938373951225740219539 y[1] (numeric) = 1.9842848357938373951225740219542 absolute error = 3e-31 relative error = 1.5118797190222004302687558892705e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.371 Order of pole = 0.01457 TOP MAIN SOLVE Loop x[1] = 1.883 y[1] (analytic) = 1.9852848324280647275487634367405 y[1] (numeric) = 1.9852848324280647275487634367407 absolute error = 2e-31 relative error = 1.0074121190730793865852997373102e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.37 Order of pole = 0.00388 TOP MAIN SOLVE Loop x[1] = 1.884 y[1] (analytic) = 1.9862848290824261993777279362514 y[1] (numeric) = 1.9862848290824261993777279362516 absolute error = 2e-31 relative error = 1.0069049366519652619957188395012e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.885 y[1] (analytic) = 1.9872848257568013678655722210918 y[1] (numeric) = 1.9872848257568013678655722210921 absolute error = 3e-31 relative error = 1.5095973969697748912499078398439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.886 y[1] (analytic) = 1.9882848224510705107564321769938 y[1] (numeric) = 1.988284822451070510756432176994 absolute error = 2e-31 relative error = 1.0058921022866771829411909095848e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.887 y[1] (analytic) = 1.9892848191651146219725467365497 y[1] (numeric) = 1.9892848191651146219725467365499 absolute error = 2e-31 relative error = 1.0053864488039387167159678835948e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.888 y[1] (analytic) = 1.9902848158988154073301112041423 y[1] (numeric) = 1.9902848158988154073301112041425 absolute error = 2e-31 relative error = 1.0048813034313368872976855134141e-29 % Correct digits = 30 h = 0.001 memory used=221.2MB, alloc=4.4MB, time=22.52 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.889 y[1] (analytic) = 1.9912848126520552802807578265625 y[1] (numeric) = 1.9912848126520552802807578265627 absolute error = 2e-31 relative error = 1.0043766654034475164434198010000e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (analytic) = 1.9922848094247173576785103142481 y[1] (numeric) = 1.9922848094247173576785103142483 absolute error = 2e-31 relative error = 1.0038725339563826940428247377285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.891 y[1] (analytic) = 1.9932848062166854555720599349948 y[1] (numeric) = 1.993284806216685455572059934995 absolute error = 2e-31 relative error = 1.0033689083277869279018389547242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.892 y[1] (analytic) = 1.9942848030278440850222117134285 y[1] (numeric) = 1.9942848030278440850222117134287 absolute error = 2e-31 relative error = 1.0028657877568333050872831660631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.893 y[1] (analytic) = 1.9952847998580784479443501755134 y[1] (numeric) = 1.9952847998580784479443501755137 absolute error = 3e-31 relative error = 1.5035447572263294971879181855902e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.894 y[1] (analytic) = 1.9962847967072744329757749779387 y[1] (numeric) = 1.9962847967072744329757749779389 absolute error = 2e-31 relative error = 1.0018610587521647826799123064894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.895 y[1] (analytic) = 1.9972847935753186113677576574048 y[1] (numeric) = 1.9972847935753186113677576574051 absolute error = 3e-31 relative error = 1.5020391732066068500080950265171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.896 y[1] (analytic) = 1.9982847904620982329021716246622 y[1] (numeric) = 1.9982847904620982329021716246624 absolute error = 2e-31 relative error = 1.0008583408861882641318073058403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.897 y[1] (analytic) = 1.9992847873675012218325484126548 y[1] (numeric) = 1.999284787367501221832548412655 absolute error = 2e-31 relative error = 1.0003577342442746804112951512982e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.898 y[1] (analytic) = 2.0002847842914161728494140673418 y[1] (numeric) = 2.000284784291416172849414067342 absolute error = 2e-31 relative error = 9.9985762812692840871850468385265e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.899 y[1] (analytic) = 2.0012847812337323470697604437227 y[1] (numeric) = 2.0012847812337323470697604437229 absolute error = 2e-31 relative error = 9.9935802178391607126574781601487e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.9 y[1] (analytic) = 2.0022847781943396680505070383239 y[1] (numeric) = 2.002284778194339668050507038324 absolute error = 1e-31 relative error = 4.9942945723325128583015429776924e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.901 y[1] (analytic) = 2.0032847751731287178258098529373 y[1] (numeric) = 2.0032847751731287178258098529374 absolute error = 1e-31 relative error = 4.9918015271372367924903790207129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.902 y[1] (analytic) = 2.0042847721699907329680746427721 y[1] (numeric) = 2.0042847721699907329680746427722 absolute error = 1e-31 relative error = 4.9893109696050035006059459645938e-30 % Correct digits = 31 h = 0.001 memory used=225.0MB, alloc=4.4MB, time=22.91 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.903 y[1] (analytic) = 2.0052847691848176006725327554145 y[1] (numeric) = 2.0052847691848176006725327554146 absolute error = 1e-31 relative error = 4.9868228960144998525043645953305e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.904 y[1] (analytic) = 2.0062847662175018548652386151244 y[1] (numeric) = 2.0062847662175018548652386151245 absolute error = 1e-31 relative error = 4.9843373026518297310339178500987e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.905 y[1] (analytic) = 2.0072847632679366723343487500568 y[1] (numeric) = 2.0072847632679366723343487500569 absolute error = 1e-31 relative error = 4.9818541858104955721217664988293e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.906 y[1] (analytic) = 2.0082847603360158688845430980143 y[1] (numeric) = 2.0082847603360158688845430980144 absolute error = 1e-31 relative error = 4.9793735417913799599088053075834e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.907 y[1] (analytic) = 2.009284757421633895514450159341 y[1] (numeric) = 2.0092847574216338955144501593411 absolute error = 1e-31 relative error = 4.9768953669027272767415835214332e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.908 y[1] (analytic) = 2.010284754524685834616938393593 y[1] (numeric) = 2.0102847545246858346169383935931 absolute error = 1e-31 relative error = 4.9744196574601254078309690578874e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.909 y[1] (analytic) = 2.0112847516450673962021370796914 y[1] (numeric) = 2.0112847516450673962021370796915 absolute error = 1e-31 relative error = 4.9719464097864875003879880082091e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.91 y[1] (analytic) = 2.0122847487826749141430506774107 y[1] (numeric) = 2.0122847487826749141430506774108 absolute error = 1e-31 relative error = 4.9694756202120337770480199196623e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.911 y[1] (analytic) = 2.0132847459374053424436315413129 y[1] (numeric) = 2.013284745937405342443631541313 absolute error = 1e-31 relative error = 4.9670072850742734033952748930698e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.912 y[1] (analytic) = 2.0142847431091562515291766466267 y[1] (numeric) = 2.0142847431091562515291766466269 absolute error = 2e-31 relative error = 9.9290828014359728188004415866338e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.913 y[1] (analytic) = 2.0152847402978258245589147901278 y[1] (numeric) = 2.015284740297825824558914790128 absolute error = 2e-31 relative error = 9.9241559269904113291667357033937e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.914 y[1] (analytic) = 2.0162847375033128537606515278266 y[1] (numeric) = 2.0162847375033128537606515278268 absolute error = 2e-31 relative error = 9.9192339395303978134391073086419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.915 y[1] (analytic) = 2.0172847347255167367873399052424 y[1] (numeric) = 2.0172847347255167367873399052426 absolute error = 2e-31 relative error = 9.9143168317889016477952079523261e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.916 y[1] (analytic) = 2.018284731964337473095445825267 y[1] (numeric) = 2.0182847319643374730954458252672 absolute error = 2e-31 relative error = 9.9094045965132903795019483030995e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=228.8MB, alloc=4.4MB, time=23.31 TOP MAIN SOLVE Loop x[1] = 1.917 y[1] (analytic) = 2.0192847292196756603449776831247 y[1] (numeric) = 2.0192847292196756603449776831249 absolute error = 2e-31 relative error = 9.9044972264652941033514033696489e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.918 y[1] (analytic) = 2.0202847264914324908210506777465 y[1] (numeric) = 2.0202847264914324908210506777466 absolute error = 1e-31 relative error = 4.9497973572104849718527236152204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.919 y[1] (analytic) = 2.0212847237795097478768569840248 y[1] (numeric) = 2.0212847237795097478768569840249 absolute error = 1e-31 relative error = 4.9473485265853333208923317732805e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (analytic) = 2.0222847210838098023979137409267 y[1] (numeric) = 2.0222847210838098023979137409269 absolute error = 2e-31 relative error = 9.8898042355189892478385110360088e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.921 y[1] (analytic) = 2.0232847184042356092874615763456 y[1] (numeric) = 2.0232847184042356092874615763458 absolute error = 2e-31 relative error = 9.8849162542847639178351496794885e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.922 y[1] (analytic) = 2.0242847157406907039728871508939 y[1] (numeric) = 2.0242847157406907039728871508941 absolute error = 2e-31 relative error = 9.8800331023010028143107537381312e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.923 y[1] (analytic) = 2.0252847130930791989330439596086 y[1] (numeric) = 2.0252847130930791989330439596088 absolute error = 2e-31 relative error = 9.8751547724148691110195517232789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.924 y[1] (analytic) = 2.0262847104613057802463463827839 y[1] (numeric) = 2.0262847104613057802463463827841 absolute error = 2e-31 relative error = 9.8702812574876421010272412978840e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.925 y[1] (analytic) = 2.0272847078452757041595127248873 y[1] (numeric) = 2.0272847078452757041595127248874 absolute error = 1e-31 relative error = 4.9327062751973412039459143692347e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.926 y[1] (analytic) = 2.0282847052448947936768337237876 y[1] (numeric) = 2.0282847052448947936768337237878 absolute error = 2e-31 relative error = 9.8605486440253972995773380760433e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.927 y[1] (analytic) = 2.0292847026600694351698437513502 y[1] (numeric) = 2.0292847026600694351698437513504 absolute error = 2e-31 relative error = 9.8556895312832061047472243938076e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.928 y[1] (analytic) = 2.0302847000907065750072726608567 y[1] (numeric) = 2.0302847000907065750072726608569 absolute error = 2e-31 relative error = 9.8508352050855057310857090187344e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.929 y[1] (analytic) = 2.031284697536713716205156966727 y[1] (numeric) = 2.0312846975367137162051569667272 absolute error = 2e-31 relative error = 9.8459856583636362852966315326593e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.93 y[1] (analytic) = 2.0322846949979989150969897676636 y[1] (numeric) = 2.0322846949979989150969897676638 absolute error = 2e-31 relative error = 9.8411408840628467944307846760060e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=232.7MB, alloc=4.4MB, time=23.70 TOP MAIN SOLVE Loop x[1] = 1.931 y[1] (analytic) = 2.0332846924744707780237895456488 y[1] (numeric) = 2.033284692474470778023789545649 absolute error = 2e-31 relative error = 9.8363008751422610281940633528308e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.932 y[1] (analytic) = 2.0342846899660384580439686902187 y[1] (numeric) = 2.0342846899660384580439686902189 absolute error = 2e-31 relative error = 9.8314656245748434218901180987471e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.933 y[1] (analytic) = 2.035284687472611651662883310142 y[1] (numeric) = 2.0352846874726116516628833101421 absolute error = 1e-31 relative error = 4.9133175626736825498262782862242e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.934 y[1] (analytic) = 2.0362846849941005955819466030743 y[1] (numeric) = 2.0362846849941005955819466030745 absolute error = 2e-31 relative error = 9.8218093704603699976230839058160e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.935 y[1] (analytic) = 2.0372846825304160634671887579655 y[1] (numeric) = 2.0372846825304160634671887579656 absolute error = 1e-31 relative error = 4.9084941764640705433666570628297e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.936 y[1] (analytic) = 2.0382846800814693627371470649869 y[1] (numeric) = 2.0382846800814693627371470649871 absolute error = 2e-31 relative error = 9.8121720657786666947493203705642e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.937 y[1] (analytic) = 2.0392846776471723313699706035575 y[1] (numeric) = 2.0392846776471723313699706035577 absolute error = 2e-31 relative error = 9.8073605020536069272393212974110e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.938 y[1] (analytic) = 2.0402846752274373347296245706861 y[1] (numeric) = 2.0402846752274373347296245706863 absolute error = 2e-31 relative error = 9.8025536548082601871262249322363e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.939 y[1] (analytic) = 2.0412846728221772624110799993618 y[1] (numeric) = 2.041284672822177262411079999362 absolute error = 2e-31 relative error = 9.7977515171115297924880692971663e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (analytic) = 2.0422846704313055251043753001146 y[1] (numeric) = 2.0422846704313055251043753001148 absolute error = 2e-31 relative error = 9.7929540820458906922707114672488e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.941 y[1] (analytic) = 2.043284668054736051477436738181 y[1] (numeric) = 2.0432846680547360514774367381812 absolute error = 2e-31 relative error = 9.7881613427073562795784233057996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.942 y[1] (analytic) = 2.044284665692383285077545633953 y[1] (numeric) = 2.0442846656923832850775456339532 absolute error = 2e-31 relative error = 9.7833732922054453022093530220878e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.943 y[1] (analytic) = 2.0452846633441621812513407455956 y[1] (numeric) = 2.0452846633441621812513407455958 absolute error = 2e-31 relative error = 9.7785899236631488701041069182702e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.944 y[1] (analytic) = 2.0462846610099882040832449599109 y[1] (numeric) = 2.0462846610099882040832449599111 absolute error = 2e-31 relative error = 9.7738112302168975593769952707932e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=236.5MB, alloc=4.4MB, time=24.09 TOP MAIN SOLVE Loop x[1] = 1.945 y[1] (analytic) = 2.047284658689777323352206080728 y[1] (numeric) = 2.0472846586897773233522060807283 absolute error = 3e-31 relative error = 1.4653555807524792918901155378352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.946 y[1] (analytic) = 2.0482846563834460115066421633336 y[1] (numeric) = 2.0482846563834460115066421633338 absolute error = 2e-31 relative error = 9.7642678412252532350169621697937e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.947 y[1] (analytic) = 2.0492846540909112406574824987479 y[1] (numeric) = 2.0492846540909112406574824987481 absolute error = 2e-31 relative error = 9.7595031320196239863451931033147e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.948 y[1] (analytic) = 2.0502846518120904795891960030274 y[1] (numeric) = 2.0502846518120904795891960030275 absolute error = 1e-31 relative error = 4.8773715352947511339330571477722e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.949 y[1] (analytic) = 2.0512846495469016907886994142468 y[1] (numeric) = 2.0512846495469016907886994142469 absolute error = 1e-31 relative error = 4.8749938250690129522269377035183e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.95 y[1] (analytic) = 2.0522846472952633274920383434228 y[1] (numeric) = 2.0522846472952633274920383434229 absolute error = 1e-31 relative error = 4.8726184319407884106176450120345e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.951 y[1] (analytic) = 2.0532846450570943307487348653908 y[1] (numeric) = 2.0532846450570943307487348653909 absolute error = 1e-31 relative error = 4.8702453525248744072770563133196e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.952 y[1] (analytic) = 2.0542846428323141265036959715782 y[1] (numeric) = 2.0542846428323141265036959715783 absolute error = 1e-31 relative error = 4.8678745834426577084600438055740e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.953 y[1] (analytic) = 2.0552846406208426226965778387398 y[1] (numeric) = 2.0552846406208426226965778387399 absolute error = 1e-31 relative error = 4.8655061213220989278118354724570e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.954 y[1] (analytic) = 2.0562846384226002063785014960656 y[1] (numeric) = 2.0562846384226002063785014960657 absolute error = 1e-31 relative error = 4.8631399627977165523492798165583e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.955 y[1] (analytic) = 2.0572846362375077408460160976556 y[1] (numeric) = 2.0572846362375077408460160976556 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.956 y[1] (analytic) = 2.0582846340654865627922066282062 y[1] (numeric) = 2.0582846340654865627922066282062 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.957 y[1] (analytic) = 2.0592846319064584794748434868901 y[1] (numeric) = 2.0592846319064584794748434868901 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.958 y[1] (analytic) = 2.0602846297603457659014720078538 y[1] (numeric) = 2.0602846297603457659014720078539 absolute error = 1e-31 relative error = 4.8536982975809557672874029813741e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=240.3MB, alloc=4.4MB, time=24.48 TOP MAIN SOLVE Loop x[1] = 1.959 y[1] (analytic) = 2.0612846276270711620313405855356 y[1] (numeric) = 2.0612846276270711620313405855357 absolute error = 1e-31 relative error = 4.8513436067836459574395613525336e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (analytic) = 2.0622846255065578699940666791328 y[1] (numeric) = 2.0622846255065578699940666791329 absolute error = 1e-31 relative error = 4.8489911995264501117773241622193e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.961 y[1] (analytic) = 2.0632846233987295513249405730526 y[1] (numeric) = 2.0632846233987295513249405730527 absolute error = 1e-31 relative error = 4.8466410724893484459091484802895e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.962 y[1] (analytic) = 2.0642846213035103242167673690789 y[1] (numeric) = 2.064284621303510324216767369079 absolute error = 1e-31 relative error = 4.8442932223587529180554826992278e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.963 y[1] (analytic) = 2.0652846192208247607881482813047 y[1] (numeric) = 2.0652846192208247607881482813048 absolute error = 1e-31 relative error = 4.8419476458274916680437479381509e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.964 y[1] (analytic) = 2.0662846171505978843681028966374 y[1] (numeric) = 2.0662846171505978843681028966375 absolute error = 1e-31 relative error = 4.8396043395947935014212682904977e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.965 y[1] (analytic) = 2.0672846150927551667969346519009 y[1] (numeric) = 2.067284615092755166796934651901 absolute error = 1e-31 relative error = 4.8372633003662724185338339571532e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.966 y[1] (analytic) = 2.0682846130472225257432423632564 y[1] (numeric) = 2.0682846130472225257432423632565 absolute error = 1e-31 relative error = 4.8349245248539121884181673213056e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.967 y[1] (analytic) = 2.0692846110139263220369812248678 y[1] (numeric) = 2.0692846110139263220369812248679 absolute error = 1e-31 relative error = 4.8325880097760509673571455089013e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.968 y[1] (analytic) = 2.07028460899279335701847727146 y[1] (numeric) = 2.0702846089927933570184772714602 absolute error = 2e-31 relative error = 9.6605075037147319238944279024144e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.969 y[1] (analytic) = 2.0712846069837508699032998736916 y[1] (numeric) = 2.0712846069837508699032998736918 absolute error = 2e-31 relative error = 9.6558434956577162730560078713839e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.97 y[1] (analytic) = 2.0722846049867265351628974060944 y[1] (numeric) = 2.0722846049867265351628974060946 absolute error = 2e-31 relative error = 9.6511839888556739296494862202734e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.971 y[1] (analytic) = 2.0732846030016484599209017947578 y[1] (numeric) = 2.073284603001648459920901794758 absolute error = 2e-31 relative error = 9.6465289767958104513092428088537e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.972 y[1] (analytic) = 2.0742846010284451813650082159583 y[1] (numeric) = 2.0742846010284451813650082159585 absolute error = 2e-31 relative error = 9.6418784529778876850976917333782e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=244.1MB, alloc=4.4MB, time=24.86 TOP MAIN SOLVE Loop x[1] = 1.973 y[1] (analytic) = 2.0752845990670456641743367775901 y[1] (numeric) = 2.0752845990670456641743367775904 absolute error = 3e-31 relative error = 1.4455848616371290301428059461109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.974 y[1] (analytic) = 2.0762845971173792979621835725529 y[1] (numeric) = 2.0762845971173792979621835725531 absolute error = 2e-31 relative error = 9.6325908441295118123727624297189e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.975 y[1] (analytic) = 2.0772845951793758947340690472165 y[1] (numeric) = 2.0772845951793758947340690472167 absolute error = 2e-31 relative error = 9.6279537461610921840606641519809e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.976 y[1] (analytic) = 2.0782845932529656863609921787394 y[1] (numeric) = 2.0782845932529656863609921787396 absolute error = 2e-31 relative error = 9.6233211105586201928771711513554e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.977 y[1] (analytic) = 2.0792845913380793220677995023733 y[1] (numeric) = 2.0792845913380793220677995023735 absolute error = 2e-31 relative error = 9.6186929308841873751702988874244e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.978 y[1] (analytic) = 2.080284589434647865936578573974 y[1] (numeric) = 2.0802845894346478659365785739741 absolute error = 1e-31 relative error = 4.8070346003561307300882542506116e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.979 y[1] (analytic) = 2.0812845875426027944249859937685 y[1] (numeric) = 2.0812845875426027944249859937686 absolute error = 1e-31 relative error = 4.8047249568148283279382225099206e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.98 y[1] (analytic) = 2.0822845856618759938994206550267 y[1] (numeric) = 2.0822845856618759938994206550268 absolute error = 1e-31 relative error = 4.8024175316177520101751595927212e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.981 y[1] (analytic) = 2.0832845837923997581829534156632 y[1] (numeric) = 2.0832845837923997581829534156633 absolute error = 1e-31 relative error = 4.8001123215706109591732301276482e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.982 y[1] (analytic) = 2.0842845819341067861179249219825 y[1] (numeric) = 2.0842845819341067861179249219826 absolute error = 1e-31 relative error = 4.7978093234852432813888305542452e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.983 y[1] (analytic) = 2.0852845800869301791431238417866 y[1] (numeric) = 2.0852845800869301791431238417867 absolute error = 1e-31 relative error = 4.7955085341796013204305131505524e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.984 y[1] (analytic) = 2.0862845782508034388854582889131 y[1] (numeric) = 2.0862845782508034388854582889132 absolute error = 1e-31 relative error = 4.7932099504777370123090591784558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.985 y[1] (analytic) = 2.0872845764256604647660337429818 y[1] (numeric) = 2.0872845764256604647660337429819 absolute error = 1e-31 relative error = 4.7909135692097872827266387935831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.986 y[1] (analytic) = 2.0882845746114355516205512867174 y[1] (numeric) = 2.0882845746114355516205512867175 absolute error = 1e-31 relative error = 4.7886193872119594862645330613795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=247.9MB, alloc=4.4MB, time=25.26 TOP MAIN SOLVE Loop x[1] = 1.987 y[1] (analytic) = 2.0892845728080633873339404987031 y[1] (numeric) = 2.0892845728080633873339404987032 absolute error = 1e-31 relative error = 4.7863274013265168873294288183528e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.988 y[1] (analytic) = 2.090284571015479050489141851823 y[1] (numeric) = 2.0902845710154790504891418518231 absolute error = 1e-31 relative error = 4.7840376084017641827188302281943e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.989 y[1] (analytic) = 2.0912845692336180080299539769931 y[1] (numeric) = 2.0912845692336180080299539769932 absolute error = 1e-31 relative error = 4.7817500052920330656666617173722e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.99 y[1] (analytic) = 2.0922845674624161129378616580698 y[1] (numeric) = 2.0922845674624161129378616580699 absolute error = 1e-31 relative error = 4.7794645888576678312306655445989e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.991 y[1] (analytic) = 2.0932845657018096019227609270922 y[1] (numeric) = 2.0932845657018096019227609270923 absolute error = 1e-31 relative error = 4.7771813559650110228837235739860e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.992 y[1] (analytic) = 2.0942845639517350931274981292676 y[1] (numeric) = 2.0942845639517350931274981292677 absolute error = 1e-31 relative error = 4.7749003034863891201717568933565e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.993 y[1] (analytic) = 2.0952845622121295838461403243709 y[1] (numeric) = 2.0952845622121295838461403243709 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.994 y[1] (analytic) = 2.0962845604829304482558948855169 y[1] (numeric) = 2.0962845604829304482558948855169 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.995 y[1] (analytic) = 2.0972845587640754351625966475972 y[1] (numeric) = 2.0972845587640754351625966475972 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.996 y[1] (analytic) = 2.0982845570555026657596814460622 y[1] (numeric) = 2.0982845570555026657596814460622 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.997 y[1] (analytic) = 2.099284555357150631400565372203 y[1] (numeric) = 2.099284555357150631400565372203 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.998 y[1] (analytic) = 2.1002845536689581913843495536544 y[1] (numeric) = 2.1002845536689581913843495536543 absolute error = 1e-31 relative error = 4.7612596029100616764503332525401e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.999 y[1] (analytic) = 2.1012845519908645707547707485197 y[1] (numeric) = 2.1012845519908645707547707485196 absolute error = 1e-31 relative error = 4.7589937262544894255067496414768e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 Finished! diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ; Iterations = 900 Total Elapsed Time = 25 Seconds Elapsed Time(since restart) = 25 Seconds Time to Timeout = 2 Minutes 34 Seconds Percent Done = 100.1 % > quit memory used=251.5MB, alloc=4.4MB, time=25.60