|\^/| Maple 11 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > # Begin Function number 3 > display_poles := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole, glob_type_given_pole,array_given_rad_poles,array_given_ord_poles, array_complex_poles,array_poles,array_real_poles,array_x ; > local rad_given; > if (glob_type_given_pole = 4) then # if number 1 > rad_given := sqrt(expt(array_x[1] - array_given_rad_poles[1,1],2.0) + expt(array_given_rad_poles[1,2],2.0)) ; > omniout_float(ALWAYS,"Radius of convergence (given) for eq 1 ",4, rad_given,4," "); > omniout_float(ALWAYS,"Order of pole (given) ",4, array_given_ord_poles[1,1],4," "); > elif > (glob_type_given_pole = 3) then # if number 2 > omniout_str(ALWAYS,"NO POLE (given) for Equation 1"); > else > omniout_str(ALWAYS,"NO INFO (given) for Equation 1"); > fi;# end if 2; > if (array_poles[1,1] <> glob_large_float) then # if number 2 > omniout_float(ALWAYS,"Radius of convergence (ratio test) for eq 1 ",4, array_poles[1,1],4," "); > omniout_str(ALWAYS,"Order of pole (ratio test) Not computed"); > else > omniout_str(ALWAYS,"NO POLE (ratio test) for Equation 1"); > fi;# end if 2; > if ((array_real_poles[1,1] > 0.0) and (array_real_poles[1,1] <> glob_large_float)) then # if number 2 > omniout_float(ALWAYS,"Radius of convergence (three term test) for eq 1 ",4, array_real_poles[1,1],4," "); > omniout_float(ALWAYS,"Order of pole (three term test) ",4, array_real_poles[1,2],4," "); > else > omniout_str(ALWAYS,"NO REAL POLE (three term test) for Equation 1"); > fi;# end if 2; > if ((array_complex_poles[1,1] > 0.0) and (array_complex_poles[1,1] <> glob_large_float)) then # if number 2 > omniout_float(ALWAYS,"Radius of convergence (six term test) for eq 1 ",4, array_complex_poles[1,1],4," "); > omniout_float(ALWAYS,"Order of pole (six term test) ",4, array_complex_poles[1,2],4," "); > else > omniout_str(ALWAYS,"NO COMPLEX POLE (six term test) for Equation 1"); > fi;# end if 2 > ; > end; display_poles := proc() local rad_given; global ALWAYS, glob_display_flag, glob_large_float, array_pole, glob_type_given_pole, array_given_rad_poles, array_given_ord_poles, array_complex_poles, array_poles, array_real_poles, array_x; if glob_type_given_pole = 4 then rad_given := sqrt( expt(array_x[1] - array_given_rad_poles[1, 1], 2.0) + expt(array_given_rad_poles[1, 2], 2.0)); omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4, rad_given, 4, " "); omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles[1, 1], 4, " ") elif glob_type_given_pole = 3 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1") end if; if array_poles[1, 1] <> glob_large_float then omniout_float(ALWAYS, "Radius of convergence (ratio test) for eq 1 ", 4, array_poles[1, 1], 4, " "); omniout_str(ALWAYS, "Order of pole (ratio test) \ Not computed") else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1") end if; if 0. < array_real_poles[1, 1] and array_real_poles[1, 1] <> glob_large_float then omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_real_poles[1, 1], 4, " "); omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_real_poles[1, 2], 4, " ") else omniout_str(ALWAYS, "NO REAL POLE (three term test) for Equation 1") end if; if 0. < array_complex_poles[1, 1] and array_complex_poles[1, 1] <> glob_large_float then omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_complex_poles[1, 1], 4, " "); omniout_float(ALWAYS, "Order of pole (six term test) ", 4, array_complex_poles[1, 2], 4, " ") else omniout_str(ALWAYS, "NO COMPLEX POLE (six term test) for Equation 1") end if end proc > # End Function number 3 > # Begin Function number 4 > check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 2 > ret := 1.0; > else > ret := -1.0; > fi;# end if 2; > 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 4 > # Begin Function number 5 > est_size_answer := proc() > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 2 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 2; > if (min_size < 1.0) then # if number 2 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 2; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, 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 5 > # Begin Function number 6 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > array_fact_2, > glob_last; > local max_estimated_step_error,hn_div_ho,hn_div_ho_2,hn_div_ho_3,no_terms,est_tmp; > max_estimated_step_error := 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,""); > est_tmp := 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 (est_tmp >= max_estimated_step_error) then # if number 2 > max_estimated_step_error := est_tmp; > fi;# end if 2; > omniout_float(ALWAYS,"max_estimated_step_error",32,max_estimated_step_error,32,""); > max_estimated_step_error; > end; test_suggested_h := proc() local max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp; global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, array_fact_2, glob_last; max_estimated_step_error := 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, ""); est_tmp := 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_estimated_step_error <= est_tmp then max_estimated_step_error := est_tmp end if; omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""); max_estimated_step_error end proc > # End Function number 6 > # Begin Function number 7 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 2 > ret := true; > else > ret := false; > fi;# end if 2; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, 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 7 > # Begin Function number 8 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > 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 2 > if (iter >= 0) then # if number 3 > 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 4 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 5 > glob_good_digits := -trunc(log10(relerr)) + 3; > else > glob_good_digits := Digits; > fi;# end if 5; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 4; > if (glob_iter = 1) then # if number 4 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 4; > 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 3; > #BOTTOM DISPLAY ALOT > fi;# end if 2; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, 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)) + 3 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 8 > # Begin Function number 9 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > 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 2 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 3 > glob_normmax := tmp; > fi;# end if 3 > fi;# end if 2; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 2 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 3 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 3 > fi;# end if 2; > if ( not glob_reached_optimal_h) then # if number 2 > 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 2; > 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, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, 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 9 > # Begin Function number 10 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > 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 2 > 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 2; > 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, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, 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 10 > # Begin Function number 11 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad; > #TOP CHECK FOR POLE > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > tmp_rad := glob_large_float; > prev_tmp_rad := glob_large_float; > tmp_ratio := glob_large_float; > rad_c := glob_large_float; > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > #TOP radius ratio test in Henrici1 > found_sing := 1; > n := glob_max_terms - 1 - 10; > cnt := 0; > while ((cnt < 5) and (found_sing = 1)) do # do number 1 > if ((omniabs(array_y_higher[1,n]) = 0.0) or (omniabs(array_y_higher[1,n+1]) = 0.0)) then # if number 2 > found_sing := 0; > else > tmp_rad := omniabs(array_y_higher[1,n] * glob_h / array_y_higher[1,n + 1]); > tmp_ratio := tmp_rad / prev_tmp_rad; > if ((cnt > 0 ) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5)) then # if number 3 > if (tmp_rad < rad_c) then # if number 4 > rad_c := tmp_rad; > fi;# end if 4; > elif > (cnt = 0) then # if number 4 > if (tmp_rad < rad_c) then # if number 5 > rad_c := tmp_rad; > fi;# end if 5; > elif > (cnt > 0) then # if number 5 > found_sing := 0; > fi;# end if 5 > fi;# end if 4; > prev_tmp_rad := tmp_rad;; > cnt := cnt + 1; > n := n + 1; > od;# end do number 1; > if (found_sing = 1) then # if number 4 > if (rad_c < array_pole[1]) then # if number 5 > array_pole[1] := rad_c; > array_poles[1,1] := rad_c; > fi;# end if 5; > fi;# end if 4; > #BOTTOM radius ratio test in Henrici1 > #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]) = 0.0) or (omniabs(array_y_higher[1,m-1]) = 0.0) or (omniabs(array_y_higher[1,m-2]) = 0.0))) do # do number 1 > m := m - 1; > od;# end do number 1; > if (m > 10) then # if number 4 > 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) > 0.0) then # if number 5 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > array_real_poles[1,1] := rcs; > array_real_poles[1,2] := ord_no; > else > array_real_poles[1,1] := glob_large_float; > array_real_poles[1,2] := glob_large_float; > fi;# end if 5 > else > array_real_poles[1,1] := glob_large_float; > array_real_poles[1,2] := glob_large_float; > fi;# end if 4; > #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 1 > if (omniabs(array_y_higher[1,n]) <> 0.0) then # if number 4 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 4; > n := n - 1; > od;# end do number 1; > m := n + cnt; > if (m <= 10) then # if number 4 > 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) = 0.0) or (omniabs(dr1) = 0.0)) then # if number 5 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) <> 0.0) then # if number 6 > 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) <> 0.0) then # if number 7 > if (rcs > 0.0) then # if number 8 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 8 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 7 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 6 > fi;# end if 5; > array_complex_poles[1,1] := rad_c; > array_complex_poles[1,2] := ord_no; > fi;# end if 4; > #BOTTOM RADII COMPLEX EQ = 1 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 4 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 1 > 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 1; > glob_h := h_new; > fi;# end if 4; > #BOTTOM ADJUST ALL SERIES > ; > if (reached_interval()) then # if number 4 > display_poles(); > fi;# end if 4 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad; global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, array_fact_2, glob_last; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; tmp_rad := glob_large_float; prev_tmp_rad := glob_large_float; tmp_ratio := glob_large_float; rad_c := glob_large_float; array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found_sing := 1; n := glob_max_terms - 11; cnt := 0; while cnt < 5 and found_sing = 1 do if omniabs(array_y_higher[1, n]) = 0. or omniabs(array_y_higher[1, n + 1]) = 0. then found_sing := 0 else tmp_rad := omniabs( array_y_higher[1, n]*glob_h/array_y_higher[1, n + 1]); tmp_ratio := tmp_rad/prev_tmp_rad; if 0 < cnt and tmp_ratio < 2.0 and 0.5 < tmp_ratio then if tmp_rad < rad_c then rad_c := tmp_rad end if elif cnt = 0 then if tmp_rad < rad_c then rad_c := tmp_rad end if elif 0 < cnt then found_sing := 0 end if end if; prev_tmp_rad := tmp_rad; cnt := cnt + 1; n := n + 1 end do; if found_sing = 1 then if rad_c < array_pole[1] then array_pole[1] := rad_c; array_poles[1, 1] := rad_c end if end if; n := glob_max_terms; m := n - 2; while 10 <= m and (omniabs(array_y_higher[1, m]) = 0. or omniabs(array_y_higher[1, m - 1]) = 0. or omniabs(array_y_higher[1, m - 2]) = 0.) 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 0. < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; array_real_poles[1, 1] := rcs; array_real_poles[1, 2] := ord_no else array_real_poles[1, 1] := glob_large_float; array_real_poles[1, 2] := glob_large_float end if else array_real_poles[1, 1] := glob_large_float; array_real_poles[1, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if omniabs(array_y_higher[1, n]) <> 0. 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 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) = 0. or omniabs(dr1) = 0. then rad_c := glob_large_float; ord_no := glob_large_float else if omniabs(nr1*dr2 - nr2*dr1) <> 0. 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 omniabs(rcs) <> 0. 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_poles[1, 1] := rad_c; array_complex_poles[1, 2] := ord_no 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_poles() end if end proc > # End Function number 11 > # Begin Function number 12 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 4 > iii := 1; > while (iii <= glob_max_terms) do # do number 1 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 1; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 1 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 5 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 5; > iii := iii + 1; > od;# end do number 1 > #BOTTOM GET NORMS > ; > fi;# end if 4; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, 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 12 > # Begin Function number 13 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre exp 1 $eq_no = 1 > array_tmp1[1] := exp(array_x[1]); > #emit pre div CONST FULL $eq_no = 1 i = 1 > array_tmp2[1] := array_const_2D0[1] / array_tmp1[1]; > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp3[1] := array_const_0D0[1] + array_tmp2[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_tmp3[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 exp ID_LINEAR iii = 2 $eq_no = 1 > array_tmp1[2] := array_tmp1[1] * array_x[2] / 1; > #emit pre div CONST FULL $eq_no = 1 i = 2 > array_tmp2[2] := -ats(2,array_tmp1,array_tmp2,2) / array_tmp1[1]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp3[2] := array_tmp2[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_tmp3[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 exp ID_LINEAR iii = 3 $eq_no = 1 > array_tmp1[3] := array_tmp1[2] * array_x[2] / 2; > #emit pre div CONST FULL $eq_no = 1 i = 3 > array_tmp2[3] := -ats(3,array_tmp1,array_tmp2,2) / array_tmp1[1]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp3[3] := array_tmp2[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_tmp3[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 exp ID_LINEAR iii = 4 $eq_no = 1 > array_tmp1[4] := array_tmp1[3] * array_x[2] / 3; > #emit pre div CONST FULL $eq_no = 1 i = 4 > array_tmp2[4] := -ats(4,array_tmp1,array_tmp2,2) / array_tmp1[1]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp3[4] := array_tmp2[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_tmp3[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 exp ID_LINEAR iii = 5 $eq_no = 1 > array_tmp1[5] := array_tmp1[4] * array_x[2] / 4; > #emit pre div CONST FULL $eq_no = 1 i = 5 > array_tmp2[5] := -ats(5,array_tmp1,array_tmp2,2) / array_tmp1[1]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp3[5] := array_tmp2[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_tmp3[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y_higher[2,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit exp LINEAR $eq_no = 1 > array_tmp1[kkk] := array_tmp1[kkk - 1] * array_x[2] / (kkk - 1); > #emit div CONST FULL $eq_no = 1 i = 1 > array_tmp2[kkk] := -ats(kkk,array_tmp1,array_tmp2,2) / array_tmp1[1]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp3[kkk] := array_tmp2[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d < glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp3[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 1 > 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 1 > 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, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, array_fact_2, glob_last; array_tmp1[1] := exp(array_x[1]); array_tmp2[1] := array_const_2D0[1]/array_tmp1[1]; array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp3[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_tmp1[1]*array_x[2]; array_tmp2[2] := -ats(2, array_tmp1, array_tmp2, 2)/array_tmp1[1]; array_tmp3[2] := array_tmp2[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp3[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_tmp1[3] := 1/2*array_tmp1[2]*array_x[2]; array_tmp2[3] := -ats(3, array_tmp1, array_tmp2, 2)/array_tmp1[1]; array_tmp3[3] := array_tmp2[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp3[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_tmp1[4] := 1/3*array_tmp1[3]*array_x[2]; array_tmp2[4] := -ats(4, array_tmp1, array_tmp2, 2)/array_tmp1[1]; array_tmp3[4] := array_tmp2[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp3[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_tmp1[5] := 1/4*array_tmp1[4]*array_x[2]; array_tmp2[5] := -ats(5, array_tmp1, array_tmp2, 2)/array_tmp1[1]; array_tmp3[5] := array_tmp2[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp3[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_tmp1[kkk] := array_tmp1[kkk - 1]*array_x[2]/(kkk - 1); array_tmp2[kkk] := -ats(kkk, array_tmp1, array_tmp2, 2)/array_tmp1[1]; array_tmp3[kkk] := array_tmp2[kkk]; order_d := 1; if kkk + order_d < glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp3[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 13 > #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 ", 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 ", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s ", 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 ", prelabel, value, postlabel) else printf("%-30s = %-32d %s ", 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, " ") 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 Mi\ nutes %d Seconds ", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf(" = %d Days %d Hours %d Minutes %d\ Seconds ", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf(" = %d Hours %d Minutes %d Second\ s ", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds ", minutes_int, sec_int) else printf(" = %d Seconds ", sec_int) end if else printf(" Unknown ") 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,m,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_int(ALWAYS,"m",4, m ,4," "); > 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, m, 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_int(ALWAYS, "m", 4, m, 4, " "); 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 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # End Function number 16 > # Begin Function number 17 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # End Function number 17 > # Begin Function number 18 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # End Function number 18 > # Begin Function number 19 > logitem_good_digits := proc(file,rel_error) > global glob_small_float; > local good_digits; > fprintf(file,""); > if (rel_error <> -1.0) then # if number 6 > if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7 > good_digits := 1-trunc(log10(rel_error)); > fprintf(file,"%d",good_digits); > else > good_digits := Digits; > fprintf(file,"%d",good_digits); > fi;# end if 7; > else > fprintf(file,"Unknown"); > fi;# end if 6; > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float; fprintf(file, ""); if rel_error <> -1.0 then if 0.1*10^(-33) < rel_error then good_digits := 1 - trunc(log10(rel_error)); fprintf(file, "%d", good_digits) else good_digits := Digits; fprintf(file, "%d", good_digits) end if else fprintf(file, "Unknown") end if; fprintf(file, "") end proc > # End Function number 19 > # Begin Function number 20 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 20 > # Begin Function number 21 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # End Function number 21 > # Begin Function number 22 > logitem_pole := proc(file,pole) > fprintf(file,""); > if (pole = 0) then # if number 6 > fprintf(file,"NA"); > elif > (pole = 1) then # if number 7 > fprintf(file,"Real"); > elif > (pole = 2) then # if number 8 > fprintf(file,"Complex"); > elif > (pole = 4) then # if number 9 > fprintf(file,"Yes"); > else > fprintf(file,"No"); > fi;# end if 9 > 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") elif pole = 4 then fprintf(file, "Yes") else fprintf(file, "No") end if; fprintf(file, "") end proc > # End Function number 22 > # Begin Function number 23 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, " ") end proc > # End Function number 24 > # Begin Function number 25 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 9 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 9; > if (glob_max_iter < 2) then # if number 9 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 9; > if (errflag) then # if number 9 > quit; > fi;# end if 9 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > # End Function number 25 > # Begin Function number 26 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 9 > sec_left := 0.0; > else > if (sub2 > 0.0) then # if number 10 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 10 > fi;# end if 9; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec2; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > # End Function number 26 > # Begin Function number 27 > comp_percent := proc(t_end2,t_start2, t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub2 > glob_small_float) then # if number 9 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 9; > rrr; > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # End Function number 27 > # Begin Function number 28 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 28 > # Begin Function number 29 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 9 > if (array_fact_1[nnn] = 0) then # if number 10 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 10; > else > ret := factorial_2(nnn); > fi;# end if 9; > ret; > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc > # End Function number 29 > # Begin Function number 30 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 9 > if (array_fact_2[mmm,nnn] = 0) then # if number 10 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 10; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 9; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc > # End Function number 30 > # Begin Function number 31 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 31 > # Begin Function number 32 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 33 > # Begin Function number 34 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 34 > # Begin Function number 35 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 35 > # Begin Function number 36 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS; > omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,""); > desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct) * omniabs(estimated_answer); > omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,""); > range := (x_end - x_start); > omniout_float(ALWAYS,"range",32,range,32,""); > estimated_steps := range / estimated_h; > omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,""); > step_error := omniabs(desired_abs_gbl_error / estimated_steps); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS; omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""); desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer); omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""); range := x_end - x_start; omniout_float(ALWAYS, "range", 32, range, 32, ""); estimated_steps := range/estimated_h; omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, ""); step_error := omniabs(desired_abs_gbl_error/estimated_steps); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc > # End Function number 36 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(- 2.0/exp(x)); > end; exact_soln_y := proc(x) return -2.0/exp(x) 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,estimated_step_error,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > 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_min_h, > glob_type_given_pole, > 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_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_real_pole, > array_complex_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_given_rad_poles, > array_given_ord_poles, > array_real_poles, > array_complex_poles, > 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; > glob_yes_pole := 4; > glob_no_pole := 3; > glob_not_given := 0; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_estimated_step_error := 0.0; > glob_ratio_of_radius := 0.1; > 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_min_h := 0.000001; > glob_type_given_pole := 0; > 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 := 0.0; > glob_smallish_float := 0.0; > 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/div_c_exppostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = 2.0 / exp(x);"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 1.0;"); > omniout_str(ALWAYS,"## did poorly with x_start := -5.0;"); > omniout_str(ALWAYS,"x_end := 5.0 ;"); > 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 := 1000000;"); > omniout_str(ALWAYS,"glob_display_interval := 0.1;"); > omniout_str(ALWAYS,"glob_max_minutes := 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:=0.01;"); > 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(- 2.0/exp(x));"); > omniout_str(ALWAYS,"end;"); > 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 := 0.0; > glob_smallish_float := 0.0; > 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..(4 + 1),[]); > array_real_pole:= Array(0..(4 + 1),[]); > array_complex_pole:= Array(0..(4 + 1),[]); > array_1st_rel_error:= Array(0..(2 + 1),[]); > array_last_rel_error:= Array(0..(2 + 1),[]); > array_type_pole:= Array(0..(2 + 1),[]); > array_type_real_pole:= Array(0..(2 + 1),[]); > array_type_complex_pole:= Array(0..(2 + 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:= 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..(2+ 1) ,(0..3+ 1),[]); > array_given_rad_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_given_ord_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_real_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_complex_poles := Array(0..(2+ 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 1 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 4) do # do number 1 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 4) do # do number 1 > array_real_pole[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 4) do # do number 1 > array_complex_pole[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_type_real_pole[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_type_complex_pole[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= max_terms) do # do number 1 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= max_terms) do # do number 2 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= max_terms) do # do number 2 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= max_terms) do # do number 2 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= max_terms) do # do number 2 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 3) do # do number 2 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 3) do # do number 2 > array_given_rad_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 3) do # do number 2 > array_given_ord_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 3) do # do number 2 > array_real_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 3) do # do number 2 > array_complex_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=max_terms) do # do number 1 > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_const_0D0[1] := 0.0; > array_const_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_const_2D0[1] := 2.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 1 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 1; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 1 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 2 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 2; > iiif := iiif + 1; > od;# end do number 1; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 1.0; > ## did poorly with x_start := -5.0; > x_end := 5.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 1000000; > glob_display_interval := 0.1; > glob_max_minutes := 10; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.01; > 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); > found_h := false; > glob_h := glob_min_h; > if (glob_max_h < glob_h) then # if number 4 > glob_h := glob_max_h; > fi;# end if 4; > if (glob_display_interval < glob_h) then # if number 4 > glob_h := glob_display_interval; > fi;# end if 4; > best_h := glob_h; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > 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,""); > estimated_step_error := 0.0; > while ((opt_iter <= 100) and ( not found_h)) do # do number 1 > 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 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 > ; > atomall(); > estimated_step_error := test_suggested_h(); > omniout_float(ALWAYS,"estimated_step_error",32,estimated_step_error,32,""); > if (((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_h >= glob_max_h )) then # if number 4 > found_h := true; > glob_h := glob_max_h; > best_h := glob_h; > elif > ((estimated_step_error > est_needed_step_err) and ( not found_h)) then # if number 5 > glob_h := glob_h/2.0; > best_h := glob_h; > found_h := true; > else > glob_h := glob_h*2.0; > best_h := glob_h; > fi;# end if 5; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > od;# end do number 1; > if (( not found_h) and (opt_iter = 1)) then # if number 5 > omniout_str(ALWAYS,"Beginning glob_h too large."); > found_h := false; > fi;# end if 5; > if (opt_iter > 100) then # if number 5 > glob_h := glob_max_h; > found_h := false; > fi;# end if 5; > if (glob_display_interval < glob_h) then # if number 5 > glob_h := glob_display_interval; > fi;# end if 5; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 5 > html_log_file := fopen("entry.html",WRITE,TEXT); > fi;# end if 5; > #BEGIN SOLUTION CODE > if (found_h) then # if number 5 > 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 1 > 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 1; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 1 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 2 > 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 2; > r_order := r_order + 1; > od;# end do number 1 > ; > 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 1 > #left paren 0001C > if (reached_interval()) then # if number 6 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 6; > 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 6 > #left paren 0004C > check_for_pole(); > fi;# end if 6;#was right paren 0004C > if (reached_interval()) then # if number 6 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 6; > 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 2 > 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 2; > #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 2 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 2; > 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 2 > 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 2; > #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 2 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 2; > 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 2 > 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 2; > #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 2 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 2; > 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 2 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 3 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 3; > term_no := term_no - 1; > od;# end do number 2; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 1;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 6 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 6; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 6 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 6; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = 2.0 / exp(x);"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 6 > logstart(html_log_file); > logitem_str(html_log_file,"2013-05-26T00:25:49-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"div_c_exp") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = 2.0 / exp(x);") > ; > 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_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 7 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 7; > log_revs(html_log_file," 189 ") > ; > logitem_str(html_log_file,"div_c_exp diffeq.mxt") > ; > logitem_str(html_log_file,"div_c_exp maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > logend(html_log_file) > ; > ; > fi;# end if 6; > if (glob_html_log) then # if number 6 > fclose(html_log_file); > fi;# end if 6 > ; > ;; > fi;# end if 5 > #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, estimated_step_error, min_value, est_answer, best_h, found_h, repeat_it; global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, 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_min_h, glob_type_given_pole, 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_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_real_pole, array_complex_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_given_rad_poles, array_given_ord_poles, array_real_poles, array_complex_poles, 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; glob_yes_pole := 4; glob_no_pole := 3; glob_not_given := 0; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_estimated_step_error := 0.; glob_ratio_of_radius := 0.1; 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_min_h := 0.1*10^(-5); glob_type_given_pole := 0; 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.; glob_smallish_float := 0.; 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/div_c_exppostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = 2.0 / exp(x);"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 1.0;"); omniout_str(ALWAYS, "## did poorly with x_start := -5.0;"); omniout_str(ALWAYS, "x_end := 5.0 ;"); 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 := 1000000;"); omniout_str(ALWAYS, "glob_display_interval := 0.1;"); omniout_str(ALWAYS, "glob_max_minutes := 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:=0.01;"); 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(- 2.0/exp(x));"); omniout_str(ALWAYS, "end;"); 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.; glob_smallish_float := 0.; 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 .. 5, []); array_real_pole := Array(0 .. 5, []); array_complex_pole := Array(0 .. 5, []); array_1st_rel_error := Array(0 .. 3, []); array_last_rel_error := Array(0 .. 3, []); array_type_pole := Array(0 .. 3, []); array_type_real_pole := Array(0 .. 3, []); array_type_complex_pole := Array(0 .. 3, []); 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 := 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 .. 3, 0 .. 4, []); array_given_rad_poles := Array(0 .. 3, 0 .. 4, []); array_given_ord_poles := Array(0 .. 3, 0 .. 4, []); array_real_poles := Array(0 .. 3, 0 .. 4, []); array_complex_poles := Array(0 .. 3, 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 <= 4 do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= 4 do array_real_pole[term] := 0.; term := term + 1 end do ; term := 1; while term <= 4 do array_complex_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= 2 do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= 2 do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= 2 do array_type_pole[term] := 0.; term := term + 1 end do ; term := 1; while term <= 2 do array_type_real_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= 2 do array_type_complex_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[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 <= 2 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 <= 2 do term := 1; while term <= 3 do array_given_rad_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_given_ord_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_real_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_complex_poles[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 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[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_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; 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 := 1.0; x_end := 5.0; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; glob_desired_digits_correct := 10; glob_display_interval := 0.01; 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); found_h := false; glob_h := glob_min_h; if glob_max_h < glob_h then glob_h := glob_max_h end if; if glob_display_interval < glob_h then glob_h := glob_display_interval end if; best_h := glob_h; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; 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, ""); estimated_step_error := 0.; while opt_iter <= 100 and not found_h 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(); estimated_step_error := test_suggested_h(); omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32, ""); if est_needed_step_err < estimated_step_error and opt_iter = 1 or glob_max_h <= glob_h then found_h := true; glob_h := glob_max_h; best_h := glob_h elif est_needed_step_err < estimated_step_error and not found_h then glob_h := glob_h/2.0; best_h := glob_h; found_h := true else glob_h := glob_h*2.0; best_h := glob_h end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1 end do; if not found_h and opt_iter = 1 then omniout_str(ALWAYS, "Beginning glob_h too large."); found_h := false end if; if 100 < opt_iter then glob_h := glob_max_h; found_h := false end if; if glob_display_interval < glob_h then glob_h := glob_display_interval end if; if glob_html_log then html_log_file := fopen("entry.html", WRITE, TEXT) end if; if 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 ) = 2.0 / exp(x);"); 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, "2013-05-26T00:25:49-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "div_c_exp"); logitem_str(html_log_file, "diff ( y , x , 1 ) = 2.0 / exp(x);"); 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_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, " 189 "); logitem_str(html_log_file, "div_c_exp diffeq.mxt"); logitem_str(html_log_file, "div_c_exp 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 13 > main(); ##############ECHO OF PROBLEM################# ##############temp/div_c_exppostode.ode################# diff ( y , x , 1 ) = 2.0 / exp(x); ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 1.0; ## did poorly with x_start := -5.0; x_end := 5.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.01; 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(- 2.0/exp(x)); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 4 estimated_steps = 4000000 step_error = 2.5000000000000000000000000000000e-17 est_needed_step_err = 2.5000000000000000000000000000000e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.8243849415069638273310067493493e-183 estimated_step_error = 1.8243849415069638273310067493493e-183 best_h = 2.0e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.2243239865597218625236973167578e-175 estimated_step_error = 1.2243239865597218625236973167578e-175 best_h = 4.00e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.2162988862900641390800296773248e-168 estimated_step_error = 8.2162988862900641390800296773248e-168 best_h = 8.000e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.5138644369995380608137065813461e-160 estimated_step_error = 5.5138644369995380608137065813461e-160 best_h = 1.60000e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.7002912379791636745607763122370e-152 estimated_step_error = 3.7002912379791636745607763122370e-152 best_h = 3.200000e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.4832226787298653605115599105896e-144 estimated_step_error = 2.4832226787298653605115599105896e-144 best_h = 6.4000000e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.6664615427537387019432017630483e-136 estimated_step_error = 1.6664615427537387019432017630483e-136 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.1183420848978399655016352750556e-128 estimated_step_error = 1.1183420848978399655016352750556e-128 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.5050488983806735306293381958378e-121 estimated_step_error = 7.5050488983806735306293381958378e-121 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.0365291815697705874859661956397e-113 estimated_step_error = 5.0365291815697705874859661956397e-113 best_h = 0.001024 opt_iter = 11 bytes used=4000460, alloc=2883056, time=0.31 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.3799254723505066081712118209760e-105 estimated_step_error = 3.3799254723505066081712118209760e-105 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.2681865777313174344765835103479e-97 estimated_step_error = 2.2681865777313174344765835103479e-97 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.5220965207513085540393869716663e-89 estimated_step_error = 1.5220965207513085540393869716663e-89 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.0213842154249593084336319688065e-81 estimated_step_error = 1.0213842154249593084336319688065e-81 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.8533539022595793120966584199305e-74 estimated_step_error = 6.8533539022595793120966584199305e-74 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.5978133177201962413499158357203e-66 estimated_step_error = 4.5978133177201962413499158357203e-66 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.0836700873842923441104624010883e-58 estimated_step_error = 3.0836700873842923441104624010883e-58 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.0669102406911079765287947359026e-50 estimated_step_error = 2.0669102406911079765287947359026e-50 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = -0.73575888234288464319104754032291 y[1] (numeric) = -0.73575888234288464319104754032291 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (analytic) = -0.72843795914304663951409259127469 y[1] (numeric) = -0.72843795914304663951409259127468 absolute error = 1e-32 relative error = 1.3728005075084582469948881583302e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.041e+11 Order of pole (six term test) = 4.329e+20 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (analytic) = -0.72118988034615659656268326930804 y[1] (numeric) = -0.72118988034615659656268326930802 absolute error = 2e-32 relative error = 2.7731947639642979167991997771454e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.454e+11 Order of pole (six term test) = 1.615e+21 TOP MAIN SOLVE Loop x[1] = 1.03 y[1] (analytic) = -0.71401392113829473953486123130269 y[1] (numeric) = -0.71401392113829473953486123130269 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.033e+11 Order of pole (six term test) = 3.556e+20 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = -0.70690936391756029630511653061792 y[1] (numeric) = -0.7069093639175602963051165306179 absolute error = 2e-32 relative error = 2.8292170143515595195194860071813e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.570e+11 Order of pole (six term test) = 1.354e+21 TOP MAIN SOLVE Loop x[1] = 1.05 y[1] (analytic) = -0.69987549822231070934359774715362 y[1] (numeric) = -0.69987549822231070934359774715362 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 8.920e+10 Order of pole (six term test) = 5.474e+20 TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (analytic) = -0.69291162066011487940701669618026 y[1] (numeric) = -0.69291162066011487940701669618025 absolute error = 1e-32 relative error = 1.4431854946339791231206876424608e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (analytic) = -0.68601703483741333626641097879752 y[1] (numeric) = -0.6860170348374133362664109787975 absolute error = 2e-32 relative error = 2.9153794999769966738778707729755e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.129e+11 Order of pole (six term test) = 2.911e+20 TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (analytic) = -0.67919105128987830243022043049529 y[1] (numeric) = -0.67919105128987830243022043049529 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 bytes used=8001312, alloc=3931440, time=0.64 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.156e+11 Order of pole (six term test) = 9.268e+20 TOP MAIN SOLVE Loop x[1] = 1.09 y[1] (analytic) = -0.67243298741346668581101630178611 y[1] (numeric) = -0.6724329874134666858110163017861 absolute error = 1e-32 relative error = 1.4871370362815326581559532945679e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = -0.66574216739615910657769381286262 y[1] (numeric) = -0.66574216739615910657769381286262 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.120e+11 Order of pole (six term test) = 6.398e+20 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = -0.65911792215037813203892896763225 y[1] (numeric) = -0.65911792215037813203892896763225 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.290e+11 Order of pole (six term test) = 1.722e+21 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = -0.65255958924607896132506964748516 y[1] (numeric) = -0.65255958924607896132506964748514 absolute error = 2e-32 relative error = 3.0648542032930020449686230918988e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.093e+11 Order of pole (six term test) = 2.792e+21 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = -0.64606651284450586888117122528068 y[1] (numeric) = -0.64606651284450586888117122528067 absolute error = 1e-32 relative error = 1.5478282500623557451965061635118e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = -0.63963804363260778236032285534765 y[1] (numeric) = -0.63963804363260778236032285534764 absolute error = 1e-32 relative error = 1.5633841825930778780657781205898e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = -0.63327353875810643642039990485905 y[1] (numeric) = -0.63327353875810643642039990485904 absolute error = 1e-32 relative error = 1.5790964548448838136253503140034e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = -0.62697236176521060918551214962199 y[1] (numeric) = -0.62697236176521060918551214962198 absolute error = 1e-32 relative error = 1.5949666380580923363238956180109e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.543e+11 Order of pole (six term test) = 1.112e+21 TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (analytic) = -0.62073388253097001274222223091491 y[1] (numeric) = -0.6207338825309700127422222309149 absolute error = 1e-32 relative error = 1.6109963192642499637752786362050e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = -0.61455747720226247300654539383636 y[1] (numeric) = -0.61455747720226247300654539383635 absolute error = 1e-32 relative error = 1.6271871014448354239410142814865e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = -0.60844252813340809762720634865897 y[1] (numeric) = -0.60844252813340809762720634865894 absolute error = 3e-32 relative error = 4.9306218110746774164762468054117e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.213e+11 Order of pole (six term test) = 4.324e+21 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = -0.60238842382440419328995521416645 y[1] (numeric) = -0.60238842382440419328995521416643 absolute error = 2e-32 relative error = 3.3201169227365474895307674296016e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = -0.59639455885977475586320190075193 y[1] (numeric) = -0.59639455885977475586320190075191 absolute error = 2e-32 relative error = 3.3534846525490236810035894273757e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.771e+11 Order of pole (six term test) = 1.157e+21 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = -0.59046033384802841828302456864059 y[1] (numeric) = -0.59046033384802841828302456864057 absolute error = 2e-32 relative error = 3.3871877336213346338871451880633e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop bytes used=12002172, alloc=4193536, time=0.99 x[1] = 1.23 y[1] (analytic) = -0.58458515536171880192188878381439 y[1] (numeric) = -0.58458515536171880192188878381436 absolute error = 3e-32 relative error = 5.1318443044345103606852285271783e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.518e+11 Order of pole (six term test) = 1.260e+21 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = -0.57876843587810127742626436986212 y[1] (numeric) = -0.5787684358781012774262643698621 absolute error = 2e-32 relative error = 3.4556134647626755980576154941220e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (analytic) = -0.57300959372038020064977085329567 y[1] (numeric) = -0.57300959372038020064977085329565 absolute error = 2e-32 relative error = 3.4903429574618413761305460296723e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = -0.56730805299954074835648401695181 y[1] (numeric) = -0.56730805299954074835648401695179 absolute error = 2e-32 relative error = 3.5254214873653821649737080556228e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.504e+11 Order of pole (six term test) = 2.423e+21 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = -0.56166324355675953682950026030951 y[1] (numeric) = -0.56166324355675953682950026030948 absolute error = 3e-32 relative error = 5.3412788435332807865392070843279e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = -0.55607460090638826439862831202818 y[1] (numeric) = -0.55607460090638826439862831202815 absolute error = 3e-32 relative error = 5.3949595883539221935530776108612e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.561e+11 Order of pole (six term test) = 3.687e+21 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = -0.55054156617950467620394727427232 y[1] (numeric) = -0.55054156617950467620394727427229 absolute error = 3e-32 relative error = 5.4491798336292136357735225537672e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.171e+11 Order of pole (six term test) = 6.915e+20 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = -0.5450635860680252062446663351267 y[1] (numeric) = -0.54506358606802520624466633512667 absolute error = 3e-32 relative error = 5.5039450014288663306862348740172e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.249e+11 Order of pole (six term test) = 7.418e+20 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = -0.53964011276937370793091808153778 y[1] (numeric) = -0.53964011276937370793091808153775 absolute error = 3e-32 relative error = 5.5592605683152980355194875183368e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = -0.5342706039317007399654310472076 y[1] (numeric) = -0.53427060393170073996543104720758 absolute error = 2e-32 relative error = 3.7434213772608625685580558298259e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = -0.52895452259964792943801891542745 y[1] (numeric) = -0.52895452259964792943801891542743 absolute error = 2e-32 relative error = 3.7810433875687807458219777860331e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = -0.52369133716065198852399931102871 y[1] (numeric) = -0.52369133716065198852399931102868 absolute error = 3e-32 relative error = 5.7285652580495036905772798401179e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.077e+11 Order of pole (six term test) = 5.914e+20 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = -0.51848052129178301514346522142309 y[1] (numeric) = -0.51848052129178301514346522142307 absolute error = 2e-32 relative error = 3.8574255306969743381388389099302e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = -0.51332155390711176136717341008552 y[1] (numeric) = -0.51332155390711176136717341008549 absolute error = 3e-32 relative error = 5.8442899526928218559962546569502e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = -0.50821391910560060625202965545668 y[1] (numeric) = -0.50821391910560060625202965545666 absolute error = 2e-32 relative error = 3.9353506954704728989210772223787e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.111e+11 Order of pole (six term test) = 4.417e+20 TOP MAIN SOLVE Loop bytes used=16003116, alloc=4259060, time=1.34 x[1] = 1.38 y[1] (analytic) = -0.50315710611951302216003002973818 y[1] (numeric) = -0.50315710611951302216003002973816 absolute error = 2e-32 relative error = 3.9749016274947481189091677809396e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = -0.49815060926333637546429785699966 y[1] (numeric) = -0.49815060926333637546429785699962 absolute error = 4e-32 relative error = 8.0297001059884037560691317177131e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = -0.49319392788321295387972247966754 y[1] (numeric) = -0.4931939278832129538797224796675 absolute error = 4e-32 relative error = 8.1103999336893491744482177904572e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.528e+10 Order of pole (six term test) = 3.441e+20 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = -0.48828656630687416347879194624471 y[1] (numeric) = -0.48828656630687416347879194624468 absolute error = 3e-32 relative error = 6.1439331061067645010611059195690e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = -0.48342803379407288877059956197097 y[1] (numeric) = -0.48342803379407288877059956197093 absolute error = 4e-32 relative error = 8.2742408805027854924486016180388e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = -0.4786178444875090590377256987904 y[1] (numeric) = -0.47861784448750905903772569879036 absolute error = 4e-32 relative error = 8.3573983838464923131607835287058e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = -0.4738555173642435134467330551028 y[1] (numeric) = -0.47385551736424351344673305510277 absolute error = 3e-32 relative error = 6.3310437254948292385099933939363e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.934e+11 Order of pole (six term test) = 2.478e+21 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = -0.46914057618759530627829783412195 y[1] (numeric) = -0.46914057618759530627829783412192 absolute error = 3e-32 relative error = 6.3946717727532260825829160133714e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.227e+11 Order of pole (six term test) = 7.772e+20 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = -0.4644725494595176419674141413649 y[1] (numeric) = -0.46447254945951764196741414136487 absolute error = 3e-32 relative error = 6.4589392925178091562339848339240e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = -0.45985097037344767750748876862291 y[1] (numeric) = -0.45985097037344767750748876862287 absolute error = 4e-32 relative error = 8.6984702821254818170163438397241e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = -0.45527537676762547715927481158951 y[1] (numeric) = -0.45527537676762547715927481158947 absolute error = 4e-32 relative error = 8.7858913618375133714675752866343e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.224e+11 Order of pole (six term test) = 8.454e+20 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = -0.45074531107887745132121401376173 y[1] (numeric) = -0.4507453110788774513212140137617 absolute error = 3e-32 relative error = 6.6556432785054969130634337810209e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.559e+11 Order of pole (six term test) = 1.206e+21 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = -0.44626032029685965786656094152802 y[1] (numeric) = -0.44626032029685965786656094152799 absolute error = 3e-32 relative error = 6.7225336055070972339030831901790e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = -0.44181995591875639023929199353893 y[1] (numeric) = -0.44181995591875639023929199353889 absolute error = 4e-32 relative error = 9.0534615886285043681686794876231e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.039e+10 Order of pole (six term test) = 2.732e+20 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = -0.43742377390442952212985753283752 y[1] (numeric) = -0.43742377390442952212985753283749 absolute error = 3e-32 relative error = 6.8583377927132388104823546351596e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.418e+11 Order of pole (six term test) = 1.448e+21 bytes used=20005336, alloc=4259060, time=1.69 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = -0.43307133463201412362786904627373 y[1] (numeric) = -0.4330713346320141236278690462737 absolute error = 3e-32 relative error = 6.9272652334496712136192795616319e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = -0.42876220285395590837633282336661 y[1] (numeric) = -0.42876220285395590837633282336659 absolute error = 2e-32 relative error = 4.6645902709881259027933867662438e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.118e+11 Order of pole (six term test) = 5.980e+20 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = -0.42449594765348611543550999515945 y[1] (numeric) = -0.42449594765348611543550999515942 absolute error = 3e-32 relative error = 7.0672052738861119882089597188767e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = -0.42027214240152947330831826638783 y[1] (numeric) = -0.42027214240152947330831826638781 absolute error = 2e-32 relative error = 4.7588212451378540618839355044150e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.57 y[1] (analytic) = -0.41609036471404093688776773145513 y[1] (numeric) = -0.41609036471404093688776773145511 absolute error = 2e-32 relative error = 4.8066481937751781736211397590791e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.58 y[1] (analytic) = -0.41195019640976693096457268007686 y[1] (numeric) = -0.41195019640976693096457268007683 absolute error = 3e-32 relative error = 7.2824337168561499747191030963601e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.254e+11 Order of pole (six term test) = 4.028e+20 TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (analytic) = -0.40785122346842687638409107270102 y[1] (numeric) = -0.407851223468426876384091072701 absolute error = 2e-32 relative error = 4.9037489283266221980462867706038e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = -0.4037930359893108169703585352867 y[1] (numeric) = -0.40379303598931081697035853528668 absolute error = 2e-32 relative error = 4.9530324243951148036542863564240e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (analytic) = -0.39977522815028900694540718427019 y[1] (numeric) = -0.39977522815028900694540718427016 absolute error = 3e-32 relative error = 7.5042168417503815492798251679712e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.62 y[1] (analytic) = -0.39579739816722935976845242258825 y[1] (numeric) = -0.39579739816722935976845242258823 absolute error = 2e-32 relative error = 5.0530903165638672074060929249050e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.342e+10 Order of pole (six term test) = 2.889e+20 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (analytic) = -0.39185914825381870010601272007459 y[1] (numeric) = -0.39185914825381870010601272007457 absolute error = 2e-32 relative error = 5.1038747185367257355366544351225e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.530e+10 Order of pole (six term test) = 7.343e+20 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (analytic) = -0.38796008458178380102467698857468 y[1] (numeric) = -0.38796008458178380102467698857466 absolute error = 2e-32 relative error = 5.1551695122346810458097983038692e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.554e+11 Order of pole (six term test) = 1.051e+21 TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (analytic) = -0.38409981724150822847708958234667 y[1] (numeric) = -0.38409981724150822847708958234664 absolute error = 3e-32 relative error = 7.8104697407697731064859606390684e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.295e+11 Order of pole (six term test) = 8.297e+20 TOP MAIN SOLVE Loop x[1] = 1.66 y[1] (analytic) = -0.38027796020304105473278211658868 y[1] (numeric) = -0.38027796020304105473278211658865 absolute error = 3e-32 relative error = 7.8889662666703481013307057089807e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 4.327e+11 Order of pole (six term test) = 6.308e+21 TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (analytic) = -0.37649413127749354159270234015759 y[1] (numeric) = -0.37649413127749354159270234015756 absolute error = 3e-32 relative error = 7.9682516957717506003785242832470e-30 % Correct digits = 32 h = 0.01 bytes used=24005980, alloc=4324584, time=2.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.785e+10 Order of pole (six term test) = 4.463e+20 TOP MAIN SOLVE Loop x[1] = 1.68 y[1] (analytic) = -0.37274795207881993302359197748017 y[1] (numeric) = -0.37274795207881993302359197748014 absolute error = 3e-32 relative error = 8.0483339566829621550348529003847e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (analytic) = -0.3690390479859785352596275318049 y[1] (numeric) = -0.36903904798597853525962753180488 absolute error = 2e-32 relative error = 5.4194807051312062175548592062532e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (analytic) = -0.36536704810546930044780167551788 y[1] (numeric) = -0.36536704810546930044780167551785 absolute error = 3e-32 relative error = 8.2109210875907996411862939945136e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (analytic) = -0.36173158523424416756419098130371 y[1] (numeric) = -0.36173158523424416756419098130367 absolute error = 4e-32 relative error = 1.1057922955248008111757704702922e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (analytic) = -0.35813229582298645160429346866125 y[1] (numeric) = -0.35813229582298645160429346866122 absolute error = 3e-32 relative error = 8.3767926964140810114692782095290e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.093e+11 Order of pole (six term test) = 5.465e+20 TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (analytic) = -0.35456881993975560895575438851885 y[1] (numeric) = -0.35456881993975560895575438851882 absolute error = 3e-32 relative error = 8.4609808626424811964766450767121e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.617e+11 Order of pole (six term test) = 3.610e+21 TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (analytic) = -0.35104080123399374339972138868441 y[1] (numeric) = -0.35104080123399374339972138868438 absolute error = 3e-32 relative error = 8.5460151340079865179056482545403e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.75 y[1] (analytic) = -0.34754788690089025336143451733274 y[1] (numeric) = -0.34754788690089025336143451733271 absolute error = 3e-32 relative error = 8.6319040140085956552997495572641e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.624e+11 Order of pole (six term test) = 1.301e+21 TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (analytic) = -0.34408972764610105684507989725189 y[1] (numeric) = -0.34408972764610105684507989725186 absolute error = 3e-32 relative error = 8.7186560916038829748205109366746e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (analytic) = -0.34066597765081886594599981232611 y[1] (numeric) = -0.34066597765081886594599981232608 absolute error = 3e-32 relative error = 8.8062800420739016441743808737428e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (analytic) = -0.33727629453719101793860222566362 y[1] (numeric) = -0.33727629453719101793860222566358 absolute error = 4e-32 relative error = 1.1859712837182291823138143164094e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.085e+11 Order of pole (six term test) = 4.528e+20 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (analytic) = -0.33392033933408140469425995016587 y[1] (numeric) = -0.33392033933408140469425995016583 absolute error = 4e-32 relative error = 1.1978904932766226657916933453631e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.323e+10 Order of pole (six term test) = 3.200e+20 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = -0.33059777644317307659360944086443 y[1] (numeric) = -0.33059777644317307659360944086439 absolute error = 4e-32 relative error = 1.2099294928825892167462047906055e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.915e+11 Order of pole (six term test) = 1.834e+21 TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (analytic) = -0.32730827360540813116539251467187 y[1] (numeric) = -0.32730827360540813116539251467183 absolute error = 4e-32 relative error = 1.2220894864461219649458081851989e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop bytes used=28007268, alloc=4324584, time=2.41 x[1] = 1.82 y[1] (analytic) = -0.3240515018677615304127380290285 y[1] (numeric) = -0.32405150186776153041273802902846 absolute error = 4e-32 relative error = 1.2343716899767106254127543291799e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.83 y[1] (analytic) = -0.32082713555034552418092756975611 y[1] (numeric) = -0.32082713555034552418092756975606 absolute error = 5e-32 relative error = 1.5584716646311793259240084424932e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (analytic) = -0.31763485221384138998156885278391 y[1] (numeric) = -0.31763485221384138998156885278387 absolute error = 4e-32 relative error = 1.2593076522053313634424029154050e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.328e+11 Order of pole (six term test) = 6.985e+20 TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (analytic) = -0.31447433262725523242001894980624 y[1] (numeric) = -0.3144743326272552324200189498062 absolute error = 4e-32 relative error = 1.2719639045203663408694443741274e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.459e+11 Order of pole (six term test) = 9.961e+20 TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (analytic) = -0.31134526073599461777912982348316 y[1] (numeric) = -0.31134526073599461777912982348312 absolute error = 4e-32 relative error = 1.2847473542858268086035888585819e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.612e+11 Order of pole (six term test) = 1.203e+21 TOP MAIN SOLVE Loop x[1] = 1.87 y[1] (analytic) = -0.30824732363026285139617165354796 y[1] (numeric) = -0.30824732363026285139617165354792 absolute error = 4e-32 relative error = 1.2976592798573422230058062648698e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.906e+11 Order of pole (six term test) = 2.082e+21 TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (analytic) = -0.30518021151376773723433345617434 y[1] (numeric) = -0.30518021151376773723433345617431 absolute error = 3e-32 relative error = 9.8302572932867228209524272119798e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (analytic) = -0.3021436176727416904986820260546 y[1] (numeric) = -0.30214361767274169049868202605457 absolute error = 3e-32 relative error = 9.9290530215646160257013587451400e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.373e+11 Order of pole (six term test) = 7.765e+21 TOP MAIN SOLVE Loop x[1] = 1.9 y[1] (analytic) = -0.29913723844527010528202413820747 y[1] (numeric) = -0.29913723844527010528202413820744 absolute error = 3e-32 relative error = 1.0028841663418904124108796091539e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 5.241e+11 Order of pole (six term test) = 1.465e+22 TOP MAIN SOLVE Loop x[1] = 1.91 y[1] (analytic) = -0.29616077319092491005187681690838 y[1] (numeric) = -0.29616077319092491005187681690835 absolute error = 3e-32 relative error = 1.0129633197796930023720986878278e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (analytic) = -0.29321392426070027430878891399001 y[1] (numeric) = -0.29321392426070027430878891398998 absolute error = 3e-32 relative error = 1.0231437703936124752419898249413e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.130e+11 Order of pole (six term test) = 8.209e+20 TOP MAIN SOLVE Loop x[1] = 1.93 y[1] (analytic) = -0.29029639696724745996162616737418 y[1] (numeric) = -0.29029639696724745996162616737414 absolute error = 4e-32 relative error = 1.3779020483162586134558038467988e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (analytic) = -0.28740789955540584088015289513921 y[1] (numeric) = -0.28740789955540584088015289513918 absolute error = 3e-32 relative error = 1.0438126455955908151697802188814e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.975e+10 Order of pole (six term test) = 5.599e+20 TOP MAIN SOLVE Loop x[1] = 1.95 y[1] (analytic) = -0.28454814317302714370230801772766 y[1] (numeric) = -0.28454814317302714370230801772763 absolute error = 3e-32 relative error = 1.0543031370883940001436322900347e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (analytic) = -0.28171684184208999229594292219192 y[1] (numeric) = -0.28171684184208999229594292219189 absolute error = 3e-32 relative error = 1.0648990597734949007162153208123e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop bytes used=32008792, alloc=4324584, time=2.76 x[1] = 1.97 y[1] (analytic) = -0.27891371243010186730539604907824 y[1] (numeric) = -0.27891371243010186730539604907821 absolute error = 3e-32 relative error = 1.0756014732519919919816751155846e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.98 y[1] (analytic) = -0.27613847462178562095502707959073 y[1] (numeric) = -0.2761384746217856209550270795907 absolute error = 3e-32 relative error = 1.0864114477741518312768652129717e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.99 y[1] (analytic) = -0.27339085089104771573759642680838 y[1] (numeric) = -0.27339085089104771573759642680834 absolute error = 4e-32 relative error = 1.4631067524619133022870341667028e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.060e+11 Order of pole (six term test) = 2.184e+21 TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = -0.27067056647322538378799898994497 y[1] (numeric) = -0.27067056647322538378799898994493 absolute error = 4e-32 relative error = 1.4778112197861300454460854921150e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.323e+10 Order of pole (six term test) = 4.994e+20 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = -0.26797734933760993163516210074751 y[1] (numeric) = -0.26797734933760993163516210074747 absolute error = 4e-32 relative error = 1.4926634694638388564699529574731e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.462e+11 Order of pole (six term test) = 1.636e+21 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = -0.2653109301602434426396855294633 y[1] (numeric) = -0.26531093016024344263968552946326 absolute error = 4e-32 relative error = 1.5076649867323844222274857354120e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.134e+11 Order of pole (six term test) = 7.992e+20 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = -0.2626710422969861567647978241762 y[1] (numeric) = -0.26267104229698615676479782417617 absolute error = 3e-32 relative error = 1.1421129538169961775025024484204e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = -0.2600574217568518343961621541422 y[1] (numeric) = -0.26005742175685183439616215414217 absolute error = 3e-32 relative error = 1.1535913798318497053412857342226e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.439e+11 Order of pole (six term test) = 1.242e+21 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = -0.25746980717560843772469303348974 y[1] (numeric) = -0.25746980717560843772469303348971 absolute error = 3e-32 relative error = 1.1651851659460157724366996217866e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.583e+11 Order of pole (six term test) = 9.150e+20 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = -0.25490793978964148973852270144483 y[1] (numeric) = -0.2549079397896414897385227014448 absolute error = 3e-32 relative error = 1.1768954715477673160289443122434e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.425e+11 Order of pole (six term test) = 9.866e+20 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = -0.25237156341007749713823574894352 y[1] (numeric) = -0.25237156341007749713823574894349 absolute error = 3e-32 relative error = 1.1887234676774231318025234081519e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = -0.24986042439716484949609962897764 y[1] (numeric) = -0.24986042439716484949609962897761 absolute error = 3e-32 relative error = 1.2006703371444528816359975891804e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = -0.24737427163490963272785765185998 y[1] (numeric) = -0.24737427163490963272785765185995 absolute error = 3e-32 relative error = 1.2127372746457590262460161074663e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = -0.24491285650596382043729475214525 y[1] (numeric) = -0.24491285650596382043729475214522 absolute error = 3e-32 relative error = 1.2249254868851475110174591115718e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.026e+11 Order of pole (six term test) = 6.151e+20 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = -0.24247593286676333193178390681564 y[1] (numeric) = -0.24247593286676333193178390681561 absolute error = 3e-32 relative error = 1.2372361926939991521878330499885e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop bytes used=36009520, alloc=4324584, time=3.11 x[1] = 2.12 y[1] (analytic) = -0.24006325702291347069389640532458 y[1] (numeric) = -0.24006325702291347069389640532455 absolute error = 3e-32 relative error = 1.2496706231531537906250974174170e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.051e+11 Order of pole (six term test) = 1.605e+21 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (analytic) = -0.23767458770481928183241092954488 y[1] (numeric) = -0.23767458770481928183241092954485 absolute error = 3e-32 relative error = 1.2622300217160194017158710932124e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.14 y[1] (analytic) = -0.23530968604355839152815844137813 y[1] (numeric) = -0.2353096860435583915281584413781 absolute error = 3e-32 relative error = 1.2749156443329184723775983595065e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (analytic) = -0.23296831554699391573854142836567 y[1] (numeric) = -0.23296831554699391573854142836565 absolute error = 2e-32 relative error = 8.5848583971778938662399876124018e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.437e+11 Order of pole (six term test) = 1.070e+21 TOP MAIN SOLVE Loop x[1] = 2.16 y[1] (analytic) = -0.23065024207612504943169198345969 y[1] (numeric) = -0.23065024207612504943169198345967 absolute error = 2e-32 relative error = 8.6711376584634548838689864354102e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.595e+11 Order of pole (six term test) = 4.384e+21 TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (analytic) = -0.22835523382167297138948422676448 y[1] (numeric) = -0.22835523382167297138948422676446 absolute error = 2e-32 relative error = 8.7582840407408343822424252687579e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.217e+11 Order of pole (six term test) = 9.605e+20 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (analytic) = -0.2260830612808997231503695594535 y[1] (numeric) = -0.22608306128089972315036955945348 absolute error = 2e-32 relative error = 8.8463062587208823266150074163391e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.116e+11 Order of pole (six term test) = 5.118e+20 TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (analytic) = -0.22383349723465774396061136811429 y[1] (numeric) = -0.22383349723465774396061136811427 absolute error = 2e-32 relative error = 8.9352131146987488146044744309985e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.2 y[1] (analytic) = -0.22160631672466776666828885169988 y[1] (numeric) = -0.22160631672466776666828885169986 absolute error = 2e-32 relative error = 9.0250134994341209264717771668886e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.757e+10 Order of pole (six term test) = 3.047e+20 TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (analytic) = -0.21940129703102280233072422159711 y[1] (numeric) = -0.21940129703102280233072422159709 absolute error = 2e-32 relative error = 9.1157163930403061028202043735619e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.826e+11 Order of pole (six term test) = 1.642e+21 TOP MAIN SOLVE Loop x[1] = 2.22 y[1] (analytic) = -0.21721821764991596391504727554914 y[1] (numeric) = -0.21721821764991596391504727554912 absolute error = 2e-32 relative error = 9.2073308658822509587921440290796e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.535e+11 Order of pole (six term test) = 4.801e+21 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (analytic) = -0.21505686027158990185570719310607 y[1] (numeric) = -0.21505686027158990185570719310605 absolute error = 2e-32 relative error = 9.2998660794835853373932485946045e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.24 y[1] (analytic) = -0.2129170087585056463941117721627 y[1] (numeric) = -0.21291700875850564639411177216268 absolute error = 2e-32 relative error = 9.3933312874427823071052091710136e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (analytic) = -0.2107984491237286735664353784814 y[1] (numeric) = -0.21079844912372867356643537848138 absolute error = 2e-32 relative error = 9.4877358363585257205503690445116e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.097e+10 Order of pole (six term test) = 3.894e+20 TOP MAIN SOLVE Loop x[1] = 2.26 y[1] (analytic) = -0.20870096950953003342818271727923 y[1] (numeric) = -0.20870096950953003342818271727921 absolute error = 2e-32 relative error = 9.5830891667643778717351852852968e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.429e+10 Order of pole (six term test) = 4.334e+20 TOP MAIN SOLVE Loop bytes used=40010420, alloc=4324584, time=3.47 x[1] = 2.27 y[1] (analytic) = -0.20662436016620040061049843066899 y[1] (numeric) = -0.20662436016620040061049843066897 absolute error = 2e-32 relative error = 9.6794008140728407194171550561075e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 4.311e+11 Order of pole (six term test) = 1.077e+22 TOP MAIN SOLVE Loop x[1] = 2.28 y[1] (analytic) = -0.20456841343107492859562313519417 y[1] (numeric) = -0.20456841343107492859562313519415 absolute error = 2e-32 relative error = 9.7766804095289050835042636318176e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (analytic) = -0.20253292370776681017944409869335 y[1] (numeric) = -0.20253292370776681017944409869333 absolute error = 2e-32 relative error = 9.8749376811731831702012210539709e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.3 y[1] (analytic) = -0.20051768744560746745988138759597 y[1] (numeric) = -0.20051768744560746745988138759596 absolute error = 1e-32 relative error = 4.9870912274073603699788075784545e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (analytic) = -0.19852250311929131535297509114374 y[1] (numeric) = -0.19852250311929131535297509114372 absolute error = 2e-32 relative error = 1.0074424655013586200245455289684e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (analytic) = -0.19654717120872306309606247764772 y[1] (numeric) = -0.1965471712087230630960624776477 absolute error = 2e-32 relative error = 1.0175674306073334882894211461532e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.33 y[1] (analytic) = -0.19459149417906553845140142910307 y[1] (numeric) = -0.19459149417906553845140142910306 absolute error = 1e-32 relative error = 5.1389707665217238766190693680524e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.084e+11 Order of pole (six term test) = 5.491e+20 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (analytic) = -0.19265527646098603937603364791825 y[1] (numeric) = -0.19265527646098603937603364791824 absolute error = 1e-32 relative error = 5.1906182813659223978910849912131e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (analytic) = -0.1907383244310992377765931935996 y[1] (numeric) = -0.19073832443109923777659319359959 absolute error = 1e-32 relative error = 5.2427848623637871642843537695544e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (analytic) = -0.18884044639260467962313819571542 y[1] (numeric) = -0.1888404463926046796231381957154 absolute error = 2e-32 relative error = 1.0590951452433780516028994407103e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (analytic) = -0.18696145255611694515588165595398 y[1] (numeric) = -0.18696145255611694515588165595397 absolute error = 1e-32 relative error = 5.3486961420555261889655796190901e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.38 y[1] (analytic) = -0.18510115502068655218486709261196 y[1] (numeric) = -0.18510115502068655218486709261195 absolute error = 1e-32 relative error = 5.4024514319656293150976451646436e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.917e+11 Order of pole (six term test) = 2.955e+21 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (analytic) = -0.18325936775500970455710302844059 y[1] (numeric) = -0.18325936775500970455710302844058 absolute error = 1e-32 relative error = 5.4567469715209868709689093790961e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (analytic) = -0.18143590657882500675034444015938 y[1] (numeric) = -0.18143590657882500675034444015938 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.41 y[1] (analytic) = -0.17963058914449528424947775826781 y[1] (numeric) = -0.17963058914449528424947775826781 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.720e+11 Order of pole (six term test) = 1.974e+21 TOP MAIN SOLVE Loop bytes used=44011380, alloc=4390108, time=3.84 x[1] = 2.42 y[1] (analytic) = -0.17784323491877266787219852147351 y[1] (numeric) = -0.17784323491877266787219852147352 absolute error = 1e-32 relative error = 5.6229296574409230399807946027656e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.094e+11 Order of pole (six term test) = 9.655e+20 TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (analytic) = -0.17607366516474511853721843978805 y[1] (numeric) = -0.17607366516474511853721843978805 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.819e+11 Order of pole (six term test) = 1.166e+21 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (analytic) = -0.1743217029239625871124340741545 y[1] (numeric) = -0.17432170292396258711243407415451 absolute error = 1e-32 relative error = 5.7365203713974166946836126510321e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45 y[1] (analytic) = -0.17258717299874102194414703303231 y[1] (numeric) = -0.17258717299874102194414703303231 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.981e+12 Order of pole (six term test) = 2.107e+23 TOP MAIN SOLVE Loop x[1] = 2.46 y[1] (analytic) = -0.17086990193464245445334189841079 y[1] (numeric) = -0.17086990193464245445334189841079 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.325e+11 Order of pole (six term test) = 8.155e+20 TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (analytic) = -0.16916971800312941079298153170792 y[1] (numeric) = -0.16916971800312941079298153170791 absolute error = 1e-32 relative error = 5.9112234258231804442181766503214e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.528e+11 Order of pole (six term test) = 9.466e+20 TOP MAIN SOLVE Loop x[1] = 2.48 y[1] (analytic) = -0.16748645118439191499303078395017 y[1] (numeric) = -0.16748645118439191499303078395017 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.49 y[1] (analytic) = -0.1658199331503453662792122341894 y[1] (numeric) = -0.16581993315034536627921223418939 absolute error = 1e-32 relative error = 6.0306380602223588640486996748391e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (analytic) = -0.16416999724779759033905734893432 y[1] (numeric) = -0.16416999724779759033905734893431 absolute error = 1e-32 relative error = 6.0912469803517367190350879755840e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (analytic) = -0.16253647848178338122635216367639 y[1] (numeric) = -0.16253647848178338122635216367638 absolute error = 1e-32 relative error = 6.1524650302552058181472092470256e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (analytic) = -0.16091921349906486734428000303859 y[1] (numeric) = -0.16091921349906486734428000303858 absolute error = 1e-32 relative error = 6.2142983317887717199316412325979e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53 y[1] (analytic) = -0.15931804057179605153010981297284 y[1] (numeric) = -0.15931804057179605153010981297283 absolute error = 1e-32 relative error = 6.2767530683341157040160116000376e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.293e+11 Order of pole (six term test) = 7.872e+20 TOP MAIN SOLVE Loop x[1] = 2.54 y[1] (analytic) = -0.15773279958134989168182564520009 y[1] (numeric) = -0.15773279958134989168182564520008 absolute error = 1e-32 relative error = 6.3398354854169380920722045280718e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (analytic) = -0.15616333200230630462128247910557 y[1] (numeric) = -0.15616333200230630462128247910557 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (analytic) = -0.15460948088659949198093132207952 y[1] (numeric) = -0.15460948088659949198093132207952 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop bytes used=48012564, alloc=4390108, time=4.19 x[1] = 2.57 y[1] (analytic) = -0.15307109084782300283349165501697 y[1] (numeric) = -0.15307109084782300283349165501696 absolute error = 1e-32 relative error = 6.5329122204672792491111002445234e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 7.763e+10 Order of pole (six term test) = 8.138e+20 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (analytic) = -0.15154800804569096355775503214886 y[1] (numeric) = -0.15154800804569096355775503214885 absolute error = 1e-32 relative error = 6.5985690798291787552905072689246e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (analytic) = -0.15004008017065392105055739728929 y[1] (numeric) = -0.15004008017065392105055739728929 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.362e+11 Order of pole (six term test) = 6.164e+21 TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (analytic) = -0.14854715642866776085642114033995 y[1] (numeric) = -0.14854715642866776085642114033995 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (analytic) = -0.14706908752611417709398724772342 y[1] (numeric) = -0.14706908752611417709398724772342 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.362e+11 Order of pole (six term test) = 1.002e+21 TOP MAIN SOLVE Loop x[1] = 2.62 y[1] (analytic) = -0.14560572565487118621366387301155 y[1] (numeric) = -0.14560572565487118621366387301155 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.636e+11 Order of pole (six term test) = 1.250e+21 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (analytic) = -0.14415692447753219162542581259969 y[1] (numeric) = -0.14415692447753219162542581259968 absolute error = 1e-32 relative error = 6.9368849510649528444746669083753e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.391e+11 Order of pole (six term test) = 9.504e+20 TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (analytic) = -0.14272253911277212109091017917259 y[1] (numeric) = -0.14272253911277212109091017917259 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (analytic) = -0.14130242612085917348135255637331 y[1] (numeric) = -0.14130242612085917348135255637331 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.161e+10 Order of pole (six term test) = 1.622e+20 TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (analytic) = -0.13989644348931072606396584367654 y[1] (numeric) = -0.13989644348931072606396584367653 absolute error = 1e-32 relative error = 7.1481445493388005623048727555502e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.273e+11 Order of pole (six term test) = 6.113e+20 TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (analytic) = -0.13850445061869196789553697891176 y[1] (numeric) = -0.13850445061869196789553697891175 absolute error = 1e-32 relative error = 7.2199845964014406892841951652971e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (analytic) = -0.13712630830855583917474638648806 y[1] (numeric) = -0.13712630830855583917474638648804 absolute error = 2e-32 relative error = 1.4585093295880789692431122279052e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 7.678e+11 Order of pole (six term test) = 2.810e+22 TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (analytic) = -0.13576187874352287053542862700309 y[1] (numeric) = -0.13576187874352287053542862700308 absolute error = 1e-32 relative error = 7.3658379602212855063587398183621e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.7 y[1] (analytic) = -0.13441102547949953025310340171193 y[1] (numeric) = -0.13441102547949953025310340171192 absolute error = 1e-32 relative error = 7.4398658624364170559344965097343e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.669e+11 Order of pole (six term test) = 2.011e+21 TOP MAIN SOLVE Loop x[1] = 2.71 y[1] (analytic) = -0.13307361343003370118801281601234 y[1] (numeric) = -0.13307361343003370118801281601233 absolute error = 1e-32 relative error = 7.5146377574377011322438273249617e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.258e+11 Order of pole (six term test) = 8.514e+20 bytes used=52013996, alloc=4390108, time=4.55 TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (analytic) = -0.13174950885280592300098873189073 y[1] (numeric) = -0.13174950885280592300098873189072 absolute error = 1e-32 relative error = 7.5901611224769479838955124903649e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (analytic) = -0.13043857933625504875511446038598 y[1] (numeric) = -0.13043857933625504875511446038597 absolute error = 1e-32 relative error = 7.6664435099535978828949226134720e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.74 y[1] (analytic) = -0.12914069378633697845769563692426 y[1] (numeric) = -0.12914069378633697845769563692425 absolute error = 1e-32 relative error = 7.7434925481699673623583983715462e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (analytic) = -0.1278557224134151454048600511159 y[1] (numeric) = -0.12785572241341514540486005111589 absolute error = 1e-32 relative error = 7.8213159420940858051063490230785e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.456e+11 Order of pole (six term test) = 1.229e+21 TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (analytic) = -0.12658353671928144436649625986908 y[1] (numeric) = -0.12658353671928144436649625986906 absolute error = 2e-32 relative error = 1.5799842948260397334859256656509e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (analytic) = -0.12532400948430630369353354844936 y[1] (numeric) = -0.12532400948430630369353354844935 absolute error = 1e-32 relative error = 7.9793170048970143889936526760817e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.104e+11 Order of pole (six term test) = 4.790e+20 TOP MAIN SOLVE Loop x[1] = 2.78 y[1] (analytic) = -0.12407701475471661634406565854311 y[1] (numeric) = -0.1240770147547166163440656585431 absolute error = 1e-32 relative error = 8.0595104740137728142197930833716e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (analytic) = -0.12284242783000025761081913621326 y[1] (numeric) = -0.12284242783000025761081913621325 absolute error = 1e-32 relative error = 8.1405099008942137326412384061343e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 7.113e+11 Order of pole (six term test) = 3.585e+22 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (analytic) = -0.12162012525043592999124277636788 y[1] (numeric) = -0.12162012525043592999124277636787 absolute error = 1e-32 relative error = 8.2223233855485249357490080054626e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.962e+10 Order of pole (six term test) = 4.332e+20 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (analytic) = -0.12040998478474708817431334210487 y[1] (numeric) = -0.12040998478474708817431334210486 absolute error = 1e-32 relative error = 8.3049591093933499858020907441889e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.466e+11 Order of pole (six term test) = 9.572e+20 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (analytic) = -0.11921188541787870952626780936569 y[1] (numeric) = -0.11921188541787870952626780936568 absolute error = 1e-32 relative error = 8.3884253360699366980536000522470e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.394e+11 Order of pole (six term test) = 6.240e+20 TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (analytic) = -0.11802570733889568774212465157395 y[1] (numeric) = -0.11802570733889568774212465157394 absolute error = 1e-32 relative error = 8.4727304122705081519229603507370e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.240e+11 Order of pole (six term test) = 3.048e+21 TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (analytic) = -0.11685133192900163949227461081453 y[1] (numeric) = -0.11685133192900163949227461081452 absolute error = 1e-32 relative error = 8.5578827685729388689038868581297e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.965e+10 Order of pole (six term test) = 7.144e+20 TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (analytic) = -0.1156886417496769259348212535548 y[1] (numeric) = -0.11568864174967692593482125355479 absolute error = 1e-32 relative error = 8.6438909202838196255215153767232e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (analytic) = -0.11453752053093470288593752994038 y[1] (numeric) = -0.11453752053093470288593752994037 absolute error = 1e-32 relative error = 8.7307634682899952085225341249847e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 bytes used=56015400, alloc=4390108, time=4.91 TOP MAIN SOLVE Loop x[1] = 2.87 y[1] (analytic) = -0.11339785315969382524346871484118 y[1] (numeric) = -0.11339785315969382524346871484117 absolute error = 1e-32 relative error = 8.8185090999186602667834537903410e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.705e+11 Order of pole (six term test) = 1.052e+21 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (analytic) = -0.11226952566826744294453481233074 y[1] (numeric) = -0.11226952566826744294453481233073 absolute error = 1e-32 relative error = 8.9071365898060992702389555618283e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.215e+11 Order of pole (six term test) = 2.350e+20 TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (analytic) = -0.11115242522296613730713531516097 y[1] (numeric) = -0.11115242522296613730713531516096 absolute error = 1e-32 relative error = 8.9966548007751574505501623563636e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (analytic) = -0.11004644011281445805989306166835 y[1] (numeric) = -0.11004644011281445805989306166835 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.129e+11 Order of pole (six term test) = 7.500e+20 TOP MAIN SOLVE Loop x[1] = 2.91 y[1] (analytic) = -0.10895145973837973270423724734572 y[1] (numeric) = -0.10895145973837973270423724734572 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (analytic) = -0.10786737460071203108065245281805 y[1] (numeric) = -0.10786737460071203108065245281805 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.173e+10 Order of pole (six term test) = -1.856e+21 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (analytic) = -0.10679407629039417912623358620798 y[1] (numeric) = -0.10679407629039417912623358620799 absolute error = 1e-32 relative error = 9.3638152483364578899453675304496e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.94 y[1] (analytic) = -0.10573145747670072681579747643322 y[1] (numeric) = -0.10573145747670072681579747643322 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95 y[1] (analytic) = -0.10467941189686478617431100509864 y[1] (numeric) = -0.10467941189686478617431100509864 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.422e+11 Order of pole (six term test) = 3.946e+21 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (analytic) = -0.10363783434545166603549268832574 y[1] (numeric) = -0.10363783434545166603549268832574 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 5.285e+11 Order of pole (six term test) = 1.987e+22 TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (analytic) = -0.10260662066383824090120823479189 y[1] (numeric) = -0.10260662066383824090120823479189 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = -0.10158566772979700182977879769406 y[1] (numeric) = -0.10158566772979700182977879769406 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.006e+11 Order of pole (six term test) = 6.159e+20 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = -0.10057487344718374774961076493595 y[1] (numeric) = -0.10057487344718374774961076493595 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3 y[1] (analytic) = -0.099574136735727885958684831300122 y[1] (numeric) = -0.099574136735727885958684831300123 absolute error = 1e-33 relative error = 1.0042768461593833870464264827291e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01 y[1] (analytic) = -0.098583357520924320831446190234969 y[1] (numeric) = -0.09858335752092432083144619023497 absolute error = 1e-33 relative error = 1.0143699962620465300790761327945e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 bytes used=60018092, alloc=4390108, time=5.26 TOP MAIN SOLVE Loop x[1] = 3.02 y[1] (analytic) = -0.097602436724025919913543080119995 y[1] (numeric) = -0.097602436724025919913543080119995 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.536e+11 Order of pole (six term test) = 1.458e+21 TOP MAIN SOLVE Loop x[1] = 3.03 y[1] (analytic) = -0.096631276252135556642683519477524 y[1] (numeric) = -0.096631276252135556642683519477524 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.04 y[1] (analytic) = -0.095669778988396738891625658216285 y[1] (numeric) = -0.095669778988396738891625658216281 absolute error = 4e-33 relative error = 4.1810486470185511681611757055732e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.05 y[1] (analytic) = -0.094717848782281842387981540479467 y[1] (numeric) = -0.094717848782281842387981540479467 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.06 y[1] (analytic) = -0.093775390439976977826083093679625 y[1] (numeric) = -0.093775390439976977826083093679622 absolute error = 3e-33 relative error = 3.1991335743040351878649138007971e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.278e+10 Order of pole (six term test) = 1.252e+21 TOP MAIN SOLVE Loop x[1] = 3.07 y[1] (analytic) = -0.092842309714862530149608892870319 y[1] (numeric) = -0.092842309714862530149608892870318 absolute error = 1e-33 relative error = 1.0770951337501208363479760143213e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.292e+11 Order of pole (six term test) = 8.148e+20 TOP MAIN SOLVE Loop x[1] = 3.08 y[1] (analytic) = -0.091918513298088418050967052756972 y[1] (numeric) = -0.091918513298088418050967052756969 absolute error = 3e-33 relative error = 3.2637603594295616766579582390159e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.09 y[1] (analytic) = -0.091003908809243131205530209038912 y[1] (numeric) = -0.091003908809243131205530209038908 absolute error = 4e-33 relative error = 4.3954155951526842213086355764994e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.410e+10 Order of pole (six term test) = 2.397e+20 TOP MAIN SOLVE Loop x[1] = 3.1 y[1] (analytic) = -0.090098404787115612136670184356672 y[1] (numeric) = -0.090098404787115612136670184356668 absolute error = 4e-33 relative error = 4.4395902562883266809655948762514e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.11 y[1] (analytic) = -0.089201910680549058892080384870443 y[1] (numeric) = -0.089201910680549058892080384870443 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.631e+11 Order of pole (six term test) = 4.087e+21 TOP MAIN SOLVE Loop x[1] = 3.12 y[1] (analytic) = -0.088314336839385733904031703200168 y[1] (numeric) = -0.088314336839385733904031703200167 absolute error = 1e-33 relative error = 1.1323189821587697850912318873809e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 5.089e+11 Order of pole (six term test) = -4.235e+22 TOP MAIN SOLVE Loop x[1] = 3.13 y[1] (analytic) = -0.087435594505501873506901935547708 y[1] (numeric) = -0.087435594505501873506901935547705 absolute error = 3e-33 relative error = 3.4310969313661215935771353041843e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.988e+10 Order of pole (six term test) = -4.255e+19 TOP MAIN SOLVE Loop x[1] = 3.14 y[1] (analytic) = -0.086565595803931801595459532304399 y[1] (numeric) = -0.086565595803931801595459532304398 absolute error = 1e-33 relative error = 1.1551933429361091392289542290008e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 8.049e+10 Order of pole (six term test) = 7.190e+20 TOP MAIN SOLVE Loop x[1] = 3.15 y[1] (analytic) = -0.085704253734080359827870913912309 y[1] (numeric) = -0.085704253734080359827870913912308 absolute error = 1e-33 relative error = 1.1668032290471356861690043782105e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.686e+11 Order of pole (six term test) = 8.117e+21 TOP MAIN SOLVE Loop x[1] = 3.16 y[1] (analytic) = -0.08485148216102277560912865346997 y[1] (numeric) = -0.084851482161022775609128653469967 absolute error = 3e-33 relative error = 3.5355893893602186360284587210425e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 bytes used=64021980, alloc=4390108, time=5.62 TOP MAIN SOLVE Loop x[1] = 3.17 y[1] (analytic) = -0.084007195806891097834448734719998 y[1] (numeric) = -0.084007195806891097834448734719999 absolute error = 1e-33 relative error = 1.1903742178214335158820658201116e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.427e+11 Order of pole (six term test) = 1.414e+21 TOP MAIN SOLVE Loop x[1] = 3.18 y[1] (analytic) = -0.083171310242346339029033231003973 y[1] (numeric) = -0.083171310242346339029033231003971 absolute error = 2e-33 relative error = 2.4046753552064495691167646951714e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.138e+11 Order of pole (six term test) = 1.580e+21 TOP MAIN SOLVE Loop x[1] = 3.19 y[1] (analytic) = -0.082343741878135471091305809546969 y[1] (numeric) = -0.082343741878135471091305809546968 absolute error = 1e-33 relative error = 1.2144213721547277802153549148086e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.412e+11 Order of pole (six term test) = 1.067e+21 TOP MAIN SOLVE Loop x[1] = 3.2 y[1] (analytic) = -0.081524407956732430332158524288851 y[1] (numeric) = -0.081524407956732430332158524288849 absolute error = 2e-33 relative error = 2.4532530197109348643560263727964e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.21 y[1] (analytic) = -0.080713226544062295903747969588037 y[1] (numeric) = -0.080713226544062295903747969588035 absolute error = 2e-33 relative error = 2.4779086224587695927974479188157e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.501e+10 Order of pole (six term test) = 2.013e+20 TOP MAIN SOLVE Loop x[1] = 3.22 y[1] (analytic) = -0.079910116521307814028787133448768 y[1] (numeric) = -0.079910116521307814028787133448768 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.237e+11 Order of pole (six term test) = 8.621e+20 TOP MAIN SOLVE Loop x[1] = 3.23 y[1] (analytic) = -0.079114997576797448675927960221868 y[1] (numeric) = -0.079114997576797448675927960221866 absolute error = 2e-33 relative error = 2.5279656970962892860199012888142e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 8.165e+10 Order of pole (six term test) = -7.832e+20 TOP MAIN SOLVE Loop x[1] = 3.24 y[1] (analytic) = -0.078327790197974147479542180731511 y[1] (numeric) = -0.07832779019797414747954218073151 absolute error = 1e-33 relative error = 1.2766860873675761853412664752027e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.25 y[1] (analytic) = -0.077548415663444019773799670535193 y[1] (numeric) = -0.077548415663444019773799670535192 absolute error = 1e-33 relative error = 1.2895169958596531044540053834688e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.686e+11 Order of pole (six term test) = 2.967e+21 TOP MAIN SOLVE Loop x[1] = 3.26 y[1] (analytic) = -0.076776796035104131602221620427345 y[1] (numeric) = -0.076776796035104131602221620427345 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.27 y[1] (analytic) = -0.076012854150348630475649281811054 y[1] (numeric) = -0.076012854150348630475649281811053 absolute error = 1e-33 relative error = 1.3155669671632946210386362329574e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.28 y[1] (analytic) = -0.075256513614352420484609166127661 y[1] (numeric) = -0.075256513614352420484609166127661 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.434e+11 Order of pole (six term test) = 5.307e+21 TOP MAIN SOLVE Loop x[1] = 3.29 y[1] (analytic) = -0.07450769879243161612715564269026 y[1] (numeric) = -0.07450769879243161612715564269026 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.3 y[1] (analytic) = -0.073766334802480010891207409483032 y[1] (numeric) = -0.07376633480248001089120740948303 absolute error = 2e-33 relative error = 2.7112638920657887426818372110231e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.31 y[1] (analytic) = -0.073032347507480804231933106715629 y[1] (numeric) = -0.073032347507480804231933106715628 absolute error = 1e-33 relative error = 1.3692562735951608549059492421654e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.029e+10 Order of pole (six term test) = 7.954e+20 bytes used=68024824, alloc=4390108, time=6.00 TOP MAIN SOLVE Loop x[1] = 3.32 y[1] (analytic) = -0.072305663508092838110643563374324 y[1] (numeric) = -0.072305663508092838110643563374323 absolute error = 1e-33 relative error = 1.3830175279258375527155453482934e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.33 y[1] (analytic) = -0.071586210135310601712666409183133 y[1] (numeric) = -0.071586210135310601712666409183131 absolute error = 2e-33 relative error = 2.7938341703236505652149863987642e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.34 y[1] (analytic) = -0.070873915443197270338558156312127 y[1] (numeric) = -0.070873915443197270338558156312126 absolute error = 1e-33 relative error = 1.4109563352704306463280552558300e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.651e+10 Order of pole (six term test) = -5.666e+20 TOP MAIN SOLVE Loop x[1] = 3.35 y[1] (analytic) = -0.070168708201690051766487050931066 y[1] (numeric) = -0.070168708201690051766487050931064 absolute error = 2e-33 relative error = 2.8502733643767278370041893023457e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.36 y[1] (analytic) = -0.069470517889477120614427368210285 y[1] (numeric) = -0.069470517889477120614427368210282 absolute error = 3e-33 relative error = 4.3183786318864016628350882152315e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.37 y[1] (analytic) = -0.068779274686945428389665462380541 y[1] (numeric) = -0.068779274686945428389665462380539 absolute error = 2e-33 relative error = 2.9078527057797073771687539613154e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.38 y[1] (analytic) = -0.068094909469198684000745677908606 y[1] (numeric) = -0.068094909469198684000745677908603 absolute error = 3e-33 relative error = 4.4056156669934154230769597849129e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.39 y[1] (analytic) = -0.067417353799144806524088947411793 y[1] (numeric) = -0.067417353799144806524088947411792 absolute error = 1e-33 relative error = 1.4832976135184425829824754411972e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.4 y[1] (analytic) = -0.066746539920652158964800262941896 y[1] (numeric) = -0.066746539920652158964800262941894 absolute error = 2e-33 relative error = 2.9964100047397013348162753033730e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.408e+11 Order of pole (six term test) = 2.457e+20 TOP MAIN SOLVE Loop x[1] = 3.41 y[1] (analytic) = -0.066082400751773878629337943842434 y[1] (numeric) = -0.066082400751773878629337943842432 absolute error = 2e-33 relative error = 3.0265244259400081344601532358897e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.649e+11 Order of pole (six term test) = 9.379e+20 TOP MAIN SOLVE Loop x[1] = 3.42 y[1] (analytic) = -0.065424869878039626537435557928615 y[1] (numeric) = -0.065424869878039626537435557928612 absolute error = 3e-33 relative error = 4.5854122531575315453421861683226e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.43 y[1] (analytic) = -0.064773881545814085042627460724618 y[1] (numeric) = -0.064773881545814085042627460724615 absolute error = 3e-33 relative error = 4.6314964124515562570589568858681e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44 y[1] (analytic) = -0.064129370655721539505605401547277 y[1] (numeric) = -0.064129370655721539505605401547275 absolute error = 2e-33 relative error = 3.1186958168309462222678998645337e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45 y[1] (analytic) = -0.06349127275613588647309399855947 y[1] (numeric) = -0.063491272756135886473093998559467 absolute error = 3e-33 relative error = 4.7250588463121898173058737405767e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46 y[1] (analytic) = -0.062859524036735417357637959073097 y[1] (numeric) = -0.062859524036735417357637959073094 absolute error = 3e-33 relative error = 4.7725464772001536839720195823920e-30 % Correct digits = 32 h = 0.01 bytes used=72025664, alloc=4390108, time=6.35 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 8.008e+11 Order of pole (six term test) = 3.316e+22 TOP MAIN SOLVE Loop x[1] = 3.47 y[1] (analytic) = -0.062234061322121733091297992320118 y[1] (numeric) = -0.062234061322121733091297992320116 absolute error = 2e-33 relative error = 3.2136742444753152582914967864034e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.182e+11 Order of pole (six term test) = 2.308e+21 TOP MAIN SOLVE Loop x[1] = 3.48 y[1] (analytic) = -0.061614822065502151639403195435717 y[1] (numeric) = -0.061614822065502151639403195435714 absolute error = 3e-33 relative error = 4.8689583113795695841186218479486e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.029e+11 Order of pole (six term test) = 8.614e+20 TOP MAIN SOLVE Loop x[1] = 3.49 y[1] (analytic) = -0.061001744342434976609846609938077 y[1] (numeric) = -0.061001744342434976609846609938074 absolute error = 3e-33 relative error = 4.9178921559347830221497349142520e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.5 y[1] (analytic) = -0.060394766844637001479572584727239 y[1] (numeric) = -0.060394766844637001479572584727238 absolute error = 1e-33 relative error = 1.6557725979346156875326624675194e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.51 y[1] (analytic) = -0.059793828873852630183518163993323 y[1] (numeric) = -0.059793828873852630183518163993322 absolute error = 1e-33 relative error = 1.6724133891972455935728870658204e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.52 y[1] (analytic) = -0.059198870335784000972958310966756 y[1] (numeric) = -0.059198870335784000972958310966755 absolute error = 1e-33 relative error = 1.6892214231924776941045504281515e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.53 y[1] (analytic) = -0.058609831734081506550582555054073 y[1] (numeric) = -0.058609831734081506550582555054072 absolute error = 1e-33 relative error = 1.7061983807377182540227991646582e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.872e+10 Order of pole (six term test) = 5.377e+19 TOP MAIN SOLVE Loop x[1] = 3.54 y[1] (analytic) = -0.05802665416439410952930865344351 y[1] (numeric) = -0.05802665416439410952930865344351 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.320e+11 Order of pole (six term test) = 7.542e+20 TOP MAIN SOLVE Loop x[1] = 3.55 y[1] (analytic) = -0.057449279308478858241421061568647 y[1] (numeric) = -0.057449279308478858241421061568648 absolute error = 1e-33 relative error = 1.7406658743801010712670834455867e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.896e+11 Order of pole (six term test) = 4.778e+21 TOP MAIN SOLVE Loop x[1] = 3.56 y[1] (analytic) = -0.056877649428369013844706373088932 y[1] (numeric) = -0.056877649428369013844706373088933 absolute error = 1e-33 relative error = 1.7581598572553305739867046315485e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.57 y[1] (analytic) = -0.056311707360600205533436432653193 y[1] (numeric) = -0.056311707360600205533436432653194 absolute error = 1e-33 relative error = 1.7758296575814237079292689384975e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.280e+11 Order of pole (six term test) = 1.608e+21 TOP MAIN SOLVE Loop x[1] = 3.58 y[1] (analytic) = -0.055751396510494036464908666394755 y[1] (numeric) = -0.055751396510494036464908666394756 absolute error = 1e-33 relative error = 1.7936770423531379650961145659917e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.59 y[1] (analytic) = -0.055196660846498568757372606584414 y[1] (numeric) = -0.055196660846498568757372606584414 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.6 y[1] (analytic) = -0.054647444894585121603126124871106 y[1] (numeric) = -0.054647444894585121603126124871106 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.61 y[1] (analytic) = -0.054103693732700822171923333263377 y[1] (numeric) = -0.054103693732700822171923333263377 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 bytes used=76026804, alloc=4390108, time=6.71 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.627e+11 Order of pole (six term test) = 2.164e+21 TOP MAIN SOLVE Loop x[1] = 3.62 y[1] (analytic) = -0.053565352985276354555161603984964 y[1] (numeric) = -0.053565352985276354555161603984964 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.366e+11 Order of pole (six term test) = 3.161e+21 TOP MAIN SOLVE Loop x[1] = 3.63 y[1] (analytic) = -0.053032368817788357521165235770362 y[1] (numeric) = -0.053032368817788357521165235770362 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.871e+11 Order of pole (six term test) = 2.230e+21 TOP MAIN SOLVE Loop x[1] = 3.64 y[1] (analytic) = -0.052504687931375927316809944658597 y[1] (numeric) = -0.052504687931375927316809944658597 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.959e+11 Order of pole (six term test) = 2.367e+21 TOP MAIN SOLVE Loop x[1] = 3.65 y[1] (analytic) = -0.051982257557510687161282079114776 y[1] (numeric) = -0.051982257557510687161282079114776 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.66 y[1] (analytic) = -0.051465025452719890434480311840354 y[1] (numeric) = -0.051465025452719890434480311840354 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.181e+11 Order of pole (six term test) = 7.316e+20 TOP MAIN SOLVE Loop x[1] = 3.67 y[1] (analytic) = -0.050952939893362029865981219773543 y[1] (numeric) = -0.050952939893362029865981219773542 absolute error = 1e-33 relative error = 1.9625952930152249947053771534425e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.68 y[1] (analytic) = -0.050445949670454430281133975316452 y[1] (numeric) = -0.050445949670454430281133975316452 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.69 y[1] (analytic) = -0.049944004084552307659248404512019 y[1] (numeric) = -0.049944004084552307659248404512018 absolute error = 1e-33 relative error = 2.0022423478643360070810260687583e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.360e+11 Order of pole (six term test) = 9.884e+20 TOP MAIN SOLVE Loop x[1] = 3.7 y[1] (analytic) = -0.049447052940678782405514765966805 y[1] (numeric) = -0.049447052940678782405514765966805 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.240e+11 Order of pole (six term test) = 1.020e+21 TOP MAIN SOLVE Loop x[1] = 3.71 y[1] (analytic) = -0.048955046543305339833757439474213 y[1] (numeric) = -0.048955046543305339833757439474213 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 6.969e+10 Order of pole (six term test) = 6.642e+20 TOP MAIN SOLVE Loop x[1] = 3.72 y[1] (analytic) = -0.048467935691382235901887836166041 y[1] (numeric) = -0.048467935691382235901887836166041 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.73 y[1] (analytic) = -0.047985671673418351236488733125186 y[1] (numeric) = -0.047985671673418351236488733125186 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.74 y[1] (analytic) = -0.047508206262610001427832355579656 y[1] (numeric) = -0.047508206262610001427832355579656 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.260e+11 Order of pole (six term test) = 9.875e+20 TOP MAIN SOLVE Loop x[1] = 3.75 y[1] (analytic) = -0.047035491712018216472302370200866 y[1] (numeric) = -0.047035491712018216472302370200865 absolute error = 1e-33 relative error = 2.1260541000031391527759086310802e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.76 y[1] (analytic) = -0.046567480749794007086145084511088 y[1] (numeric) = -0.046567480749794007086145084511087 absolute error = 1e-33 relative error = 2.1474212989381512456123660353175e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.239e+10 Order of pole (six term test) = 4.354e+20 bytes used=80028892, alloc=4390108, time=7.06 TOP MAIN SOLVE Loop x[1] = 3.77 y[1] (analytic) = -0.046104126574451140413202269518292 y[1] (numeric) = -0.046104126574451140413202269518291 absolute error = 1e-33 relative error = 2.1690032417925808677583263344546e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.78 y[1] (analytic) = -0.045645382850185952400257012152537 y[1] (numeric) = -0.045645382850185952400257012152536 absolute error = 1e-33 relative error = 2.1908020867786984745046437920212e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.79 y[1] (analytic) = -0.045191203702243728817329962734743 y[1] (numeric) = -0.045191203702243728817329962734741 absolute error = 2e-33 relative error = 4.4256400275983368846390927167131e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.8 y[1] (analytic) = -0.044741543712331191557166645081646 y[1] (numeric) = -0.044741543712331191557166645081644 absolute error = 2e-33 relative error = 4.4701184493300823037557828729065e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.147e+11 Order of pole (six term test) = 8.314e+20 TOP MAIN SOLVE Loop x[1] = 3.81 y[1] (analytic) = -0.044296357914074631458722837151075 y[1] (numeric) = -0.044296357914074631458722837151073 absolute error = 2e-33 relative error = 4.5150438866318718558957830086431e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.82 y[1] (analytic) = -0.043855601788523233464145468835525 y[1] (numeric) = -0.043855601788523233464145468835524 absolute error = 1e-33 relative error = 2.2802104160424368546127846612959e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.83 y[1] (analytic) = -0.043419231259697144438017493467177 y[1] (numeric) = -0.043419231259697144438017493467177 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.156e+11 Order of pole (six term test) = 7.291e+20 TOP MAIN SOLVE Loop x[1] = 3.84 y[1] (analytic) = -0.04298720269017983845193870167105 y[1] (numeric) = -0.042987202690179838451938701671049 absolute error = 1e-33 relative error = 2.3262737219894604529581623205560e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.85 y[1] (analytic) = -0.042559472876754338767297894474697 y[1] (numeric) = -0.042559472876754338767297894474696 absolute error = 1e-33 relative error = 2.3496531615789640432415238120581e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.187e+11 Order of pole (six term test) = 6.967e+20 TOP MAIN SOLVE Loop x[1] = 3.86 y[1] (analytic) = -0.042135999046082860134798199089125 y[1] (numeric) = -0.042135999046082860134798199089124 absolute error = 1e-33 relative error = 2.3732675684426763580710055832070e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.87 y[1] (analytic) = -0.041716738850429439371365169807746 y[1] (numeric) = -0.041716738850429439371365169807745 absolute error = 1e-33 relative error = 2.3971193040409625066602092677123e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.88 y[1] (analytic) = -0.041301650363425126473930878432624 y[1] (numeric) = -0.041301650363425126473930878432622 absolute error = 2e-33 relative error = 4.8424215071345176604216766568584e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.776e+11 Order of pole (six term test) = 1.793e+21 TOP MAIN SOLVE Loop x[1] = 3.89 y[1] (analytic) = -0.040890692075875312785676353468485 y[1] (numeric) = -0.040890692075875312785676353468484 absolute error = 1e-33 relative error = 2.4455443261865942332146407278608e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.276e+11 Order of pole (six term test) = 3.117e+21 TOP MAIN SOLVE Loop x[1] = 3.9 y[1] (analytic) = -0.040483822891608776944055087487307 y[1] (numeric) = -0.040483822891608776944055087487306 absolute error = 1e-33 relative error = 2.4701224552765086939880743270610e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.345e+11 Order of pole (six term test) = 6.070e+20 TOP MAIN SOLVE Loop x[1] = 3.91 y[1] (analytic) = -0.04008100212336803351173327510709 y[1] (numeric) = -0.040081002123368033511733275107089 absolute error = 1e-33 relative error = 2.4949475986703930464915145741440e-30 % Correct digits = 32 h = 0.01 bytes used=84030688, alloc=4455632, time=7.42 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.823e+10 Order of pole (six term test) = 5.409e+20 TOP MAIN SOLVE Loop x[1] = 3.92 y[1] (analytic) = -0.039682189488740573321885154718708 y[1] (numeric) = -0.039682189488740573321885154718707 absolute error = 1e-33 relative error = 2.5200222389032743676139702306284e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93 y[1] (analytic) = -0.039287345106130588658487339147276 y[1] (numeric) = -0.039287345106130588658487339147274 absolute error = 2e-33 relative error = 5.0906977669201430973337148919991e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94 y[1] (analytic) = -0.038896429490770780440773257808341 y[1] (numeric) = -0.038896429490770780440773257808339 absolute error = 2e-33 relative error = 5.1418601300526917537017237808153e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.038e+11 Order of pole (six term test) = 6.966e+20 TOP MAIN SOLVE Loop x[1] = 3.95 y[1] (analytic) = -0.038509403550773848589242650711833 y[1] (numeric) = -0.038509403550773848589242650711832 absolute error = 1e-33 relative error = 2.5967683417415717019629951461350e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96 y[1] (analytic) = -0.038126228583223270718972279600075 y[1] (numeric) = -0.038126228583223270718972279600074 absolute error = 1e-33 relative error = 2.6228662974549525156215756559254e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.267e+11 Order of pole (six term test) = 9.481e+20 TOP MAIN SOLVE Loop x[1] = 3.97 y[1] (analytic) = -0.037746866270302978234839492009752 y[1] (numeric) = -0.037746866270302978234839492009751 absolute error = 1e-33 relative error = 2.6492265419838080248302375028925e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.704e+11 Order of pole (six term test) = 1.479e+21 TOP MAIN SOLVE Loop x[1] = 3.98 y[1] (analytic) = -0.037371278675465542793042879942699 y[1] (numeric) = -0.037371278675465542793042879942697 absolute error = 2e-33 relative error = 5.3517034227491161176072934038621e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99 y[1] (analytic) = -0.03699942823963848994437299661867 y[1] (numeric) = -0.036999428239638489944372996618669 absolute error = 1e-33 relative error = 2.7027444681663294076630948882394e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4 y[1] (analytic) = -0.036631277777468360587436042546482 y[1] (numeric) = -0.036631277777468360587436042546481 absolute error = 1e-33 relative error = 2.7299075016572119539055130601431e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.436e+11 Order of pole (six term test) = 4.496e+20 TOP MAIN SOLVE Loop x[1] = 4.01 y[1] (analytic) = -0.036266790473602144634845884059948 y[1] (numeric) = -0.036266790473602144634845884059947 absolute error = 1e-33 relative error = 2.7573435281731907224809331267541e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.02 y[1] (analytic) = -0.035905929879005715032652207912938 y[1] (numeric) = -0.035905929879005715032652207912936 absolute error = 2e-33 relative error = 5.5701105826795614858150315907712e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 8.789e+10 Order of pole (six term test) = 5.390e+19 TOP MAIN SOLVE Loop x[1] = 4.03 y[1] (analytic) = -0.035548659907318893973338772871938 y[1] (numeric) = -0.035548659907318893973338772871937 absolute error = 1e-33 relative error = 2.8130455623563918871367194411499e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.04 y[1] (analytic) = -0.035194944831246786805975603183958 y[1] (numeric) = -0.035194944831246786805975603183956 absolute error = 2e-33 relative error = 5.6826342805469022397620692052799e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.746e+11 Order of pole (six term test) = 4.439e+21 TOP MAIN SOLVE Loop x[1] = 4.05 y[1] (analytic) = -0.034844749278987022773908907373465 y[1] (numeric) = -0.034844749278987022773908907373463 absolute error = 2e-33 relative error = 5.7397457045446197477205057110728e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.06 y[1] (analytic) = -0.034498038230692545301085182050658 bytes used=88032504, alloc=4455632, time=7.79 y[1] (numeric) = -0.034498038230692545301085182050656 absolute error = 2e-33 relative error = 5.7974311078959290818741032291737e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.07 y[1] (analytic) = -0.034154777014969598103090448554437 y[1] (numeric) = -0.034154777014969598103090448554435 absolute error = 2e-33 relative error = 5.8556962591892367028532192341084e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.08 y[1] (analytic) = -0.033814931305410556918597371718443 y[1] (numeric) = -0.033814931305410556918597371718441 absolute error = 2e-33 relative error = 5.9145469849882263960123061503387e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.263e+11 Order of pole (six term test) = 2.428e+21 TOP MAIN SOLVE Loop x[1] = 4.09 y[1] (analytic) = -0.033478467117161260141504088950542 y[1] (numeric) = -0.03347846711716126014150408895054 absolute error = 2e-33 relative error = 5.9739891704145204952943682133228e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.224e+12 Order of pole (six term test) = 8.054e+22 TOP MAIN SOLVE Loop x[1] = 4.1 y[1] (analytic) = -0.033145350803522495083967396166902 y[1] (numeric) = -0.033145350803522495083967396166901 absolute error = 1e-33 relative error = 3.0170143798680984748743609854062e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.525e+11 Order of pole (six term test) = 1.438e+21 TOP MAIN SOLVE Loop x[1] = 4.11 y[1] (analytic) = -0.032815549052585300016124489678115 y[1] (numeric) = -0.032815549052585300016124489678114 absolute error = 1e-33 relative error = 3.0473358784811105424495723619863e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.12 y[1] (analytic) = -0.032489028883899745509903311888252 y[1] (numeric) = -0.032489028883899745509903311888251 absolute error = 1e-33 relative error = 3.0779621132214257513169545877563e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.13 y[1] (analytic) = -0.032165757645176861962279857041206 y[1] (numeric) = -0.032165757645176861962279857041204 absolute error = 2e-33 relative error = 6.2177922934760801607080332059942e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.14 y[1] (analytic) = -0.031845703009023383487986359852932 y[1] (numeric) = -0.03184570300902338348798635985293 absolute error = 2e-33 relative error = 6.2802821449201672763710634207786e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 5.509e+11 Order of pole (six term test) = 1.434e+22 TOP MAIN SOLVE Loop x[1] = 4.15 y[1] (analytic) = -0.031528832969708981653338582022219 y[1] (numeric) = -0.031528832969708981653338582022217 absolute error = 2e-33 relative error = 6.3434000298123323081212027004717e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.077e+11 Order of pole (six term test) = 6.233e+20 TOP MAIN SOLVE Loop x[1] = 4.16 y[1] (analytic) = -0.031215115839965665771861598480226 y[1] (numeric) = -0.031215115839965665771861598480224 absolute error = 2e-33 relative error = 6.4071522599936628851995347043460e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.667e+11 Order of pole (six term test) = 2.298e+21 TOP MAIN SOLVE Loop x[1] = 4.17 y[1] (analytic) = -0.030904520247819029699076470646538 y[1] (numeric) = -0.030904520247819029699076470646537 absolute error = 1e-33 relative error = 3.2357726053701520881190269631465e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.057e+11 Order of pole (six term test) = 6.943e+20 TOP MAIN SOLVE Loop x[1] = 4.18 y[1] (analytic) = -0.030597015133451028248486648885946 y[1] (numeric) = -0.030597015133451028248486648885944 absolute error = 2e-33 relative error = 6.5365853214009918165243590001587e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.19 y[1] (analytic) = -0.030292569746093969503791341104983 y[1] (numeric) = -0.030292569746093969503791341104981 absolute error = 2e-33 relative error = 6.6022790960409921477070149341098e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.2 y[1] (analytic) = -0.029991153640955412423968720457457 y[1] (numeric) = -0.029991153640955412423968720457456 absolute error = 1e-33 relative error = 3.3343165520462570822510867326997e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop bytes used=92033272, alloc=4455632, time=8.15 x[1] = 4.21 y[1] (analytic) = -0.029692736676173662228426886608675 y[1] (numeric) = -0.029692736676173662228426886608674 absolute error = 1e-33 relative error = 3.3678269905058291050690669799292e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.22 y[1] (analytic) = -0.029397289009803559109224000018468 y[1] (numeric) = -0.029397289009803559109224000018467 absolute error = 1e-33 relative error = 3.4016742144709835579774241916368e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 7.638e+11 Order of pole (six term test) = 3.454e+22 TOP MAIN SOLVE Loop x[1] = 4.23 y[1] (analytic) = -0.029104781096832258846716960143819 y[1] (numeric) = -0.029104781096832258846716960143818 absolute error = 1e-33 relative error = 3.4358616086923230704126457106698e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.24 y[1] (analytic) = -0.028815183686224706904213334652431 y[1] (numeric) = -0.02881518368622470690421333465243 absolute error = 1e-33 relative error = 3.4703925919377593664755781815585e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.578e+11 Order of pole (six term test) = 1.631e+21 TOP MAIN SOLVE Loop x[1] = 4.25 y[1] (analytic) = -0.028528467817998510546573891712003 y[1] (numeric) = -0.028528467817998510546573891712002 absolute error = 1e-33 relative error = 3.5052706173343929050865939997547e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.26 y[1] (analytic) = -0.028244604820327916467539980915243 y[1] (numeric) = -0.028244604820327916467539980915242 absolute error = 1e-33 relative error = 3.5404991727138284676469924348244e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.27 y[1] (analytic) = -0.027963566306676604321135135556967 y[1] (numeric) = -0.027963566306676604321135135556966 absolute error = 1e-33 relative error = 3.5760817809609612250531655166339e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.227e+11 Order of pole (six term test) = 9.588e+20 TOP MAIN SOLVE Loop x[1] = 4.28 y[1] (analytic) = -0.027685324172959009434104689735196 y[1] (numeric) = -0.027685324172959009434104689735195 absolute error = 1e-33 relative error = 3.6120220003662681629608861258165e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.29 y[1] (analytic) = -0.027409850594729890829299081946433 y[1] (numeric) = -0.027409850594729890829299081946432 absolute error = 1e-33 relative error = 3.6483234249816400947358218836380e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.343e+10 Order of pole (six term test) = 4.427e+20 TOP MAIN SOLVE Loop x[1] = 4.3 y[1] (analytic) = -0.027137118024401863514461149051535 y[1] (numeric) = -0.027137118024401863514461149051534 absolute error = 1e-33 relative error = 3.6849896849797898455880975585326e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.31 y[1] (analytic) = -0.026867099188490616787327558519805 y[1] (numeric) = -0.026867099188490616787327558519804 absolute error = 1e-33 relative error = 3.7220244470172725490088272640191e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.475e+11 Order of pole (six term test) = 3.523e+21 TOP MAIN SOLVE Loop x[1] = 4.32 y[1] (analytic) = -0.026599767084887543076579230029926 y[1] (numeric) = -0.026599767084887543076579230029925 absolute error = 1e-33 relative error = 3.7594314146011543578407780233068e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.298e+11 Order of pole (six term test) = 1.009e+21 TOP MAIN SOLVE Loop x[1] = 4.33 y[1] (analytic) = -0.026335094980159504579252024594645 y[1] (numeric) = -0.026335094980159504579252024594644 absolute error = 1e-33 relative error = 3.7972143284593662371598300446997e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.678e+11 Order of pole (six term test) = 1.997e+21 TOP MAIN SOLVE Loop x[1] = 4.34 y[1] (analytic) = -0.02607305640687546766902124030864 y[1] (numeric) = -0.02607305640687546766902124030864 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.35 y[1] (analytic) = -0.025813625160959737736572931083345 y[1] (numeric) = -0.025813625160959737736572931083345 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.277e+11 Order of pole (six term test) = 5.468e+20 TOP MAIN SOLVE Loop bytes used=96034072, alloc=4455632, time=8.51 x[1] = 4.36 y[1] (analytic) = -0.025556775299071529783340440515445 y[1] (numeric) = -0.025556775299071529783340440515445 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.37 y[1] (analytic) = -0.025302481136010612723481826091564 y[1] (numeric) = -0.025302481136010612723481826091564 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.38 y[1] (analytic) = -0.025050717242148767956366401183318 y[1] (numeric) = -0.025050717242148767956366401183318 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.885e+11 Order of pole (six term test) = 3.882e+21 TOP MAIN SOLVE Loop x[1] = 4.39 y[1] (analytic) = -0.024801458440886805353287185162491 y[1] (numeric) = -0.024801458440886805353287185162491 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.294e+11 Order of pole (six term test) = 6.589e+20 TOP MAIN SOLVE Loop x[1] = 4.4 y[1] (analytic) = -0.024554679806136882357878772473083 y[1] (numeric) = -0.024554679806136882357878772473084 absolute error = 1e-33 relative error = 4.0725434332484058722200405863091e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 7.687e+10 Order of pole (six term test) = -2.019e+20 TOP MAIN SOLVE Loop x[1] = 4.41 y[1] (analytic) = -0.024310356659829874430052588037247 y[1] (numeric) = -0.024310356659829874430052588037248 absolute error = 1e-33 relative error = 4.1134731752100837737522525468043e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42 y[1] (analytic) = -0.024068464569447547568416724299946 y[1] (numeric) = -0.024068464569447547568416724299947 absolute error = 1e-33 relative error = 4.1548142679171884226716892830652e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43 y[1] (analytic) = -0.023828979345579286126376072142976 y[1] (numeric) = -0.023828979345579286126376072142977 absolute error = 1e-33 relative error = 4.1965708455134415548690703088832e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44 y[1] (analytic) = -0.023591877039503131592658288741304 y[1] (numeric) = -0.023591877039503131592658288741305 absolute error = 1e-33 relative error = 4.2387470836914000596451934215616e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.221e+11 Order of pole (six term test) = 4.244e+20 TOP MAIN SOLVE Loop x[1] = 4.45 y[1] (analytic) = -0.023357133940790890438127847222936 y[1] (numeric) = -0.023357133940790890438127847222937 absolute error = 1e-33 relative error = 4.2813472001100287151552613561508e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 7.628e+11 Order of pole (six term test) = 3.216e+22 TOP MAIN SOLVE Loop x[1] = 4.46 y[1] (analytic) = -0.0231247265749370715376770994238 y[1] (numeric) = -0.023124726574937071537677099423801 absolute error = 1e-33 relative error = 4.3243754548164695996142170277851e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.47 y[1] (analytic) = -0.022894631701011416058960648775872 y[1] (numeric) = -0.022894631701011416058960648775872 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.48 y[1] (analytic) = -0.022666826309334785069005675152334 y[1] (numeric) = -0.022666826309334785069005675152334 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.985e+11 Order of pole (six term test) = 2.252e+21 TOP MAIN SOLVE Loop x[1] = 4.49 y[1] (analytic) = -0.02244128761917817244552210591857 y[1] (numeric) = -0.02244128761917817244552210591857 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.5 y[1] (analytic) = -0.022217993076484612992286268573861 y[1] (numeric) = -0.022217993076484612992286268573861 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.306e+11 Order of pole (six term test) = 1.170e+21 TOP MAIN SOLVE Loop bytes used=100035188, alloc=4455632, time=8.87 x[1] = 4.51 y[1] (analytic) = -0.021996920351613757947511147117173 y[1] (numeric) = -0.021996920351613757947511147117173 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.52 y[1] (analytic) = -0.02177804733710889234087455248789 y[1] (numeric) = -0.02177804733710889234087455248789 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 6.878e+10 Order of pole (six term test) = -2.119e+20 TOP MAIN SOLVE Loop x[1] = 4.53 y[1] (analytic) = -0.021561352145486170899080084826662 y[1] (numeric) = -0.021561352145486170899080084826661 absolute error = 1e-33 relative error = 4.6379280541055870013511501164876e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 9.136e+10 Order of pole (six term test) = 8.250e+20 TOP MAIN SOLVE Loop x[1] = 4.54 y[1] (analytic) = -0.021346813107045851421699134099529 y[1] (numeric) = -0.021346813107045851421699134099529 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.766e+11 Order of pole (six term test) = 1.787e+21 TOP MAIN SOLVE Loop x[1] = 4.55 y[1] (analytic) = -0.021134408767705306748807525018684 y[1] (numeric) = -0.021134408767705306748807525018684 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.213e+11 Order of pole (six term test) = 4.734e+21 TOP MAIN SOLVE Loop x[1] = 4.56 y[1] (analytic) = -0.020924117886853598619807740544615 y[1] (numeric) = -0.020924117886853598619807740544616 absolute error = 1e-33 relative error = 4.7791739915033139608756513610844e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.57 y[1] (analytic) = -0.020715919435227398879034745114834 y[1] (numeric) = -0.020715919435227398879034745114834 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.164e+11 Order of pole (six term test) = 1.611e+21 TOP MAIN SOLVE Loop x[1] = 4.58 y[1] (analytic) = -0.020509792592808045618495896619257 y[1] (numeric) = -0.020509792592808045618495896619257 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.59 y[1] (analytic) = -0.02030571674673952396160676205756 y[1] (numeric) = -0.02030571674673952396160676205756 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.6 y[1] (analytic) = -0.0201036714892671632842661886631 y[1] (numeric) = -0.0201036714892671632842661886631 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.272e+11 Order of pole (six term test) = 6.122e+21 TOP MAIN SOLVE Loop x[1] = 4.61 y[1] (analytic) = -0.01990363661569684474127497995891 y[1] (numeric) = -0.01990363661569684474127497995891 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.498e+11 Order of pole (six term test) = 4.762e+21 TOP MAIN SOLVE Loop x[1] = 4.62 y[1] (analytic) = -0.019705592122374515017150152549829 y[1] (numeric) = -0.019705592122374515017150152549829 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.63 y[1] (analytic) = -0.019509518204685804251026110923004 y[1] (numeric) = -0.019509518204685804251026110923003 absolute error = 1e-33 relative error = 5.1257032055246734965527914165879e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.64 y[1] (analytic) = -0.019315395255075548095768239755011 y[1] (numeric) = -0.019315395255075548095768239755011 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.65 y[1] (analytic) = -0.019123203861087015861854421299449 y[1] (numeric) = -0.01912320386108701586185442129945 absolute error = 1e-33 relative error = 5.2292492788557096461499025048955e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.66 y[1] (analytic) = -0.018932924803420648667204884013348 y[1] (numeric) = -0.018932924803420648667204884013348 absolute error = 0 bytes used=104036280, alloc=4455632, time=9.22 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 5.245e+11 Order of pole (six term test) = 1.509e+22 TOP MAIN SOLVE Loop x[1] = 4.67 y[1] (analytic) = -0.018744539054012113465157641806389 y[1] (numeric) = -0.01874453905401211346515764180639 absolute error = 1e-33 relative error = 5.3348871216225414486381892417709e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.68 y[1] (analytic) = -0.01855802777412948075439069447478 y[1] (numeric) = -0.01855802777412948075439069447478 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.487e+11 Order of pole (six term test) = 1.148e+21 TOP MAIN SOLVE Loop x[1] = 4.69 y[1] (analytic) = -0.018373372312489335686976291012424 y[1] (numeric) = -0.018373372312489335686976291012424 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (analytic) = -0.018190554203391634184108148582775 y[1] (numeric) = -0.018190554203391634184108148582777 absolute error = 2e-33 relative error = 1.0994717245212349887972870045537e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.71 y[1] (analytic) = -0.018009555164873117543558908122057 y[1] (numeric) = -0.018009555164873117543558908122058 absolute error = 1e-33 relative error = 5.5526079952849589742821503111034e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.72 y[1] (analytic) = -0.017830357096879100878789746029528 y[1] (numeric) = -0.017830357096879100878789746029528 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.73 y[1] (analytic) = -0.017652942079453452567032538193552 y[1] (numeric) = -0.017652942079453452567032538193554 absolute error = 2e-33 relative error = 1.1329556234865986705646433913828e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.016e+11 Order of pole (six term test) = 2.362e+21 TOP MAIN SOLVE Loop x[1] = 4.74 y[1] (analytic) = -0.017477292370946583702781029082076 y[1] (numeric) = -0.017477292370946583702781029082077 absolute error = 1e-33 relative error = 5.7217100840079339178806801033004e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.395e+11 Order of pole (six term test) = 1.020e+21 TOP MAIN SOLVE Loop x[1] = 4.75 y[1] (analytic) = -0.017303390406241268354143007914501 y[1] (numeric) = -0.017303390406241268354143007914502 absolute error = 1e-33 relative error = 5.7792142263593829066707133568264e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 8.205e+10 Order of pole (six term test) = -1.367e+19 TOP MAIN SOLVE Loop x[1] = 4.76 y[1] (analytic) = -0.017131218794996117202600639084614 y[1] (numeric) = -0.017131218794996117202600639084616 absolute error = 2e-33 relative error = 1.1674592589898991484904834409238e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.77 y[1] (analytic) = -0.016960760319906528912079146021476 y[1] (numeric) = -0.016960760319906528912079146021477 absolute error = 1e-33 relative error = 5.8959620980335333216738313696793e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.421e+11 Order of pole (six term test) = 2.379e+21 TOP MAIN SOLVE Loop x[1] = 4.78 y[1] (analytic) = -0.016791997934982945321011543333507 y[1] (numeric) = -0.016791997934982945321011543333509 absolute error = 2e-33 relative error = 1.1910435004481384760580862199534e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 2.135e+11 Order of pole (six term test) = 2.381e+21 TOP MAIN SOLVE Loop x[1] = 4.79 y[1] (analytic) = -0.016624914763846238281483831586441 y[1] (numeric) = -0.016624914763846238281483831586442 absolute error = 1e-33 relative error = 6.0150684331607733023126828828634e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (analytic) = -0.016459494098040057682724053532149 y[1] (numeric) = -0.01645949409804005768272405353215 absolute error = 1e-33 relative error = 6.0755208759367440378524058148940e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.730e+11 Order of pole (six term test) = 1.712e+21 TOP MAIN SOLVE Loop bytes used=108037072, alloc=4455632, time=9.59 x[1] = 4.81 y[1] (analytic) = -0.016295719395359971892331179358986 y[1] (numeric) = -0.016295719395359971892331179358987 absolute error = 1e-33 relative error = 6.1365808758632593875535481668830e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.82 y[1] (analytic) = -0.016133574278199233527895556245215 y[1] (numeric) = -0.016133574278199233527895556245216 absolute error = 1e-33 relative error = 6.1982545389911955058345899621240e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.83 y[1] (analytic) = -0.01597304253191100513420955114174 y[1] (numeric) = -0.015973042531911005134209551141741 absolute error = 1e-33 relative error = 6.2605480327382600768966762355853e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.84 y[1] (analytic) = -0.015814108103186880987271291363368 y[1] (numeric) = -0.015814108103186880987271291363369 absolute error = 1e-33 relative error = 6.3234675865057392250239252983628e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.124e+11 Order of pole (six term test) = 4.369e+20 TOP MAIN SOLVE Loop x[1] = 4.85 y[1] (analytic) = -0.015656755098451542875910667028563 y[1] (numeric) = -0.015656755098451542875910667028565 absolute error = 2e-33 relative error = 1.2774038984602885668761799019549e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.86 y[1] (analytic) = -0.015500967782273389325277966639986 y[1] (numeric) = -0.015500967782273389325277966639987 absolute error = 1e-33 relative error = 6.4512101053689105733583411344149e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 3.475e+11 Order of pole (six term test) = 7.806e+21 TOP MAIN SOLVE Loop x[1] = 4.87 y[1] (analytic) = -0.015346730575790979323793014607349 y[1] (numeric) = -0.01534673057579097932379301460735 absolute error = 1e-33 relative error = 6.5160458448229415445939479591788e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88 y[1] (analytic) = -0.015194028055155133196616204361159 y[1] (numeric) = -0.015194028055155133196616204361161 absolute error = 2e-33 relative error = 1.3163066388583022228325601109699e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89 y[1] (analytic) = -0.015042844949986534834430520561019 y[1] (numeric) = -0.015042844949986534834430520561021 absolute error = 2e-33 relative error = 1.3295357405128278224310585398182e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.225e+11 Order of pole (six term test) = 5.398e+20 TOP MAIN SOLVE Loop x[1] = 4.9 y[1] (analytic) = -0.014893166141848681036472092840257 y[1] (numeric) = -0.014893166141848681036472092840259 absolute error = 2e-33 relative error = 1.3428977968493548484005862777435e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.111e+11 Order of pole (six term test) = 2.264e+20 TOP MAIN SOLVE Loop x[1] = 4.91 y[1] (analytic) = -0.014744976662736025261471037686311 y[1] (numeric) = -0.014744976662736025261471037686313 absolute error = 2e-33 relative error = 1.3563941440846520375077355696288e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.92 y[1] (analytic) = -0.014598261693577164599617798133888 y[1] (numeric) = -0.01459826169357716459961779813389 absolute error = 2e-33 relative error = 1.3700261318646899129907518322816e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 1.016e+11 Order of pole (six term test) = 1.078e+21 TOP MAIN SOLVE Loop x[1] = 4.93 y[1] (analytic) = -0.014453006562752920283004829557022 y[1] (numeric) = -0.014453006562752920283004829557024 absolute error = 2e-33 relative error = 1.3837951233996065063205819382868e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.94 y[1] (analytic) = -0.014309196744629163541359738704192 y[1] (numeric) = -0.014309196744629163541359738704194 absolute error = 2e-33 relative error = 1.3977024956000295070162563718432e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 Radius of convergence (six term test) for eq 1 = 7.714e+10 Order of pole (six term test) = 6.149e+20 TOP MAIN SOLVE Loop x[1] = 4.95 y[1] (analytic) = -0.014166817858104240084432800094696 y[1] (numeric) = -0.014166817858104240084432800094698 absolute error = 2e-33 relative error = 1.4117496392147684728431889649845e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop bytes used=112038200, alloc=4455632, time=9.95 x[1] = 4.96 y[1] (analytic) = -0.014025855665170847952276604894962 y[1] (numeric) = -0.014025855665170847952276604894964 absolute error = 2e-33 relative error = 1.4259379589698908697301579351366e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.97 y[1] (analytic) = -0.013886296069492224920004431120137 y[1] (numeric) = -0.013886296069492224920004431120138 absolute error = 1e-33 relative error = 7.2013443685459792456242850418413e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.98 y[1] (analytic) = -0.013748125114992503074581296546882 y[1] (numeric) = -0.013748125114992503074581296546884 absolute error = 2e-33 relative error = 1.4547438165360998102828140547844e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (analytic) = -0.013611328984461089597930665007658 y[1] (numeric) = -0.01361132898446108959793066500766 absolute error = 2e-33 relative error = 1.4693642349569479361641444906233e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 702 Order of pole (three term test) = -1.760e+04 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 2.0 / exp(x); Iterations = 400 Total Elapsed Time = 9 Seconds Elapsed Time(since restart) = 9 Seconds Time to Timeout = 2 Minutes 50 Seconds Percent Done = 100.2 % > quit bytes used=112982704, alloc=4455632, time=10.03