|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float
and array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp3[1] := sqrt(array_tmp2[1]);
> #emit pre tanh $eq_no = 1
> array_tmp4_a1[1] := sinh(array_tmp3[1]);
> array_tmp4_a2[1] := cosh(array_tmp3[1]);
> array_tmp4[1] := (array_tmp4_a1[1] / array_tmp4_a2[1]);
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp5[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp6[1] := array_tmp5[1] + array_const_1D0[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp7[1] := sqrt(array_tmp6[1]);
> #emit pre tanh $eq_no = 1
> array_tmp8_a1[1] := sinh(array_tmp7[1]);
> array_tmp8_a2[1] := cosh(array_tmp7[1]);
> array_tmp8[1] := (array_tmp8_a1[1] / array_tmp8_a2[1]);
> # emit pre mult FULL FULL $eq_no = 1 i = 1
> array_tmp9[1] := (array_tmp4[1] * (array_tmp8[1]));
> #emit pre sub CONST FULL $eq_no = 1 i = 1
> array_tmp10[1] := array_const_1D0[1] - array_tmp9[1];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp11[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp12[1] := array_tmp11[1] + array_const_1D0[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp13[1] := sqrt(array_tmp12[1]);
> #emit pre div FULL - FULL $eq_no = 1 i = 1
> array_tmp14[1] := (array_tmp10[1] / (array_tmp13[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp15[1] := array_const_0D0[1] + array_tmp14[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_tmp15[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0;
> #emit pre tanh $eq_no = 1
> array_tmp4_a1[2] := att(1,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[2] := att(1,array_tmp4_a1,array_tmp3,1);
> array_tmp4[2] := (array_tmp4_a1[2] - ats(2,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp5[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp6[2] := array_tmp5[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp7[2] := array_tmp6[2] / array_tmp7[1]/2.0;
> #emit pre tanh $eq_no = 1
> array_tmp8_a1[2] := att(1,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[2] := att(1,array_tmp8_a1,array_tmp7,1);
> array_tmp8[2] := (array_tmp8_a1[2] - ats(2,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 2
> array_tmp9[2] := ats(2,array_tmp4,array_tmp8,1);
> #emit pre sub CONST FULL $eq_no = 1 i = 2
> array_tmp10[2] := array_const_1D0[2] - array_tmp9[2];
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp11[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp12[2] := array_tmp11[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp13[2] := array_tmp12[2] / array_tmp13[1]/2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 2
> array_tmp14[2] := ((array_tmp10[2] - ats(2,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp15[2] := array_tmp14[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_tmp15[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 sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := 0.0;
> array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre tanh $eq_no = 1
> array_tmp4_a1[3] := att(2,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[3] := att(2,array_tmp4_a1,array_tmp3,1);
> array_tmp4[3] := (array_tmp4_a1[3] - ats(3,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp7[3] := 0.0;
> array_tmp7[3] := -ats(3,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0;
> #emit pre tanh $eq_no = 1
> array_tmp8_a1[3] := att(2,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[3] := att(2,array_tmp8_a1,array_tmp7,1);
> array_tmp8[3] := (array_tmp8_a1[3] - ats(3,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 3
> array_tmp9[3] := ats(3,array_tmp4,array_tmp8,1);
> #emit pre sub CONST FULL $eq_no = 1 i = 3
> array_tmp10[3] := array_const_1D0[3] - array_tmp9[3];
> #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp13[3] := 0.0;
> array_tmp13[3] := -ats(3,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 3
> array_tmp14[3] := ((array_tmp10[3] - ats(3,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp15[3] := array_tmp14[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_tmp15[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 sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := 0.0;
> array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre tanh $eq_no = 1
> array_tmp4_a1[4] := att(3,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[4] := att(3,array_tmp4_a1,array_tmp3,1);
> array_tmp4[4] := (array_tmp4_a1[4] - ats(4,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp7[4] := 0.0;
> array_tmp7[4] := -ats(4,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0;
> #emit pre tanh $eq_no = 1
> array_tmp8_a1[4] := att(3,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[4] := att(3,array_tmp8_a1,array_tmp7,1);
> array_tmp8[4] := (array_tmp8_a1[4] - ats(4,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 4
> array_tmp9[4] := ats(4,array_tmp4,array_tmp8,1);
> #emit pre sub CONST FULL $eq_no = 1 i = 4
> array_tmp10[4] := array_const_1D0[4] - array_tmp9[4];
> #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp13[4] := 0.0;
> array_tmp13[4] := -ats(4,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 4
> array_tmp14[4] := ((array_tmp10[4] - ats(4,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp15[4] := array_tmp14[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_tmp15[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 sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := 0.0;
> array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre tanh $eq_no = 1
> array_tmp4_a1[5] := att(4,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[5] := att(4,array_tmp4_a1,array_tmp3,1);
> array_tmp4[5] := (array_tmp4_a1[5] - ats(5,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp7[5] := 0.0;
> array_tmp7[5] := -ats(5,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0;
> #emit pre tanh $eq_no = 1
> array_tmp8_a1[5] := att(4,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[5] := att(4,array_tmp8_a1,array_tmp7,1);
> array_tmp8[5] := (array_tmp8_a1[5] - ats(5,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> # emit pre mult FULL FULL $eq_no = 1 i = 5
> array_tmp9[5] := ats(5,array_tmp4,array_tmp8,1);
> #emit pre sub CONST FULL $eq_no = 1 i = 5
> array_tmp10[5] := array_const_1D0[5] - array_tmp9[5];
> #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp13[5] := 0.0;
> array_tmp13[5] := -ats(5,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0;
> #emit pre div FULL - FULL $eq_no = 1 i = 5
> array_tmp14[5] := ((array_tmp10[5] - ats(5,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp15[5] := array_tmp14[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_tmp15[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 sqrt LINEAR $eq_no = 1
> array_tmp3[kkk] := 0.0;
> array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0;
> array_tmp4_a1[kkk] := att(kkk-1 ,array_tmp4_a2,array_tmp3,1);
> array_tmp4_a2[kkk] := att(kkk-1,array_tmp4_a1,array_tmp3,1);
> array_tmp4[kkk] := (array_tmp4_a1[kkk] - ats(kkk ,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1];
> #emit sqrt LINEAR $eq_no = 1
> array_tmp7[kkk] := 0.0;
> array_tmp7[kkk] := -ats(kkk,array_tmp7,array_tmp7,2) /array_tmp7[1] / 2.0;
> array_tmp8_a1[kkk] := att(kkk-1 ,array_tmp8_a2,array_tmp7,1);
> array_tmp8_a2[kkk] := att(kkk-1,array_tmp8_a1,array_tmp7,1);
> array_tmp8[kkk] := (array_tmp8_a1[kkk] - ats(kkk ,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1];
> #emit mult FULL FULL $eq_no = 1
> array_tmp9[kkk] := ats(kkk,array_tmp4,array_tmp8,1);
> #emit NOT FULL - FULL sub $eq_no = 1
> array_tmp10[kkk] := - array_tmp9[kkk];
> #emit sqrt LINEAR $eq_no = 1
> array_tmp13[kkk] := 0.0;
> array_tmp13[kkk] := -ats(kkk,array_tmp13,array_tmp13,2) /array_tmp13[1] / 2.0;
> #emit div FULL FULL $eq_no = 1
> array_tmp14[kkk] := ((array_tmp10[kkk] - ats(kkk,array_tmp13,array_tmp14,2))/array_tmp13[1]);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp15[kkk] := array_tmp14[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp15[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_const_2D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
array_tmp3[1] := sqrt(array_tmp2[1]);
array_tmp4_a1[1] := sinh(array_tmp3[1]);
array_tmp4_a2[1] := cosh(array_tmp3[1]);
array_tmp4[1] := array_tmp4_a1[1]/array_tmp4_a2[1];
array_tmp5[1] := array_const_2D0[1]*array_x[1];
array_tmp6[1] := array_tmp5[1] + array_const_1D0[1];
array_tmp7[1] := sqrt(array_tmp6[1]);
array_tmp8_a1[1] := sinh(array_tmp7[1]);
array_tmp8_a2[1] := cosh(array_tmp7[1]);
array_tmp8[1] := array_tmp8_a1[1]/array_tmp8_a2[1];
array_tmp9[1] := array_tmp4[1]*array_tmp8[1];
array_tmp10[1] := array_const_1D0[1] - array_tmp9[1];
array_tmp11[1] := array_const_2D0[1]*array_x[1];
array_tmp12[1] := array_tmp11[1] + array_const_1D0[1];
array_tmp13[1] := sqrt(array_tmp12[1]);
array_tmp14[1] := array_tmp10[1]/array_tmp13[1];
array_tmp15[1] := array_const_0D0[1] + array_tmp14[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp15[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_2D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0);
array_tmp4_a1[2] := att(1, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[2] := att(1, array_tmp4_a1, array_tmp3, 1);
array_tmp4[2] := (
array_tmp4_a1[2] - ats(2, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp5[2] := array_const_2D0[1]*array_x[2];
array_tmp6[2] := array_tmp5[2];
array_tmp7[2] := array_tmp6[2]/(array_tmp7[1]*2.0);
array_tmp8_a1[2] := att(1, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[2] := att(1, array_tmp8_a1, array_tmp7, 1);
array_tmp8[2] := (
array_tmp8_a1[2] - ats(2, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[2] := ats(2, array_tmp4, array_tmp8, 1);
array_tmp10[2] := array_const_1D0[2] - array_tmp9[2];
array_tmp11[2] := array_const_2D0[1]*array_x[2];
array_tmp12[2] := array_tmp11[2];
array_tmp13[2] := array_tmp12[2]/(array_tmp13[1]*2.0);
array_tmp14[2] := (array_tmp10[2] - ats(2, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[2] := array_tmp14[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp15[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 0.;
array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4_a1[3] := att(2, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[3] := att(2, array_tmp4_a1, array_tmp3, 1);
array_tmp4[3] := (
array_tmp4_a1[3] - ats(3, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[3] := 0.;
array_tmp7[3] := -ats(3, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0)
;
array_tmp8_a1[3] := att(2, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[3] := att(2, array_tmp8_a1, array_tmp7, 1);
array_tmp8[3] := (
array_tmp8_a1[3] - ats(3, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[3] := ats(3, array_tmp4, array_tmp8, 1);
array_tmp10[3] := array_const_1D0[3] - array_tmp9[3];
array_tmp13[3] := 0.;
array_tmp13[3] :=
-ats(3, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[3] := (array_tmp10[3] - ats(3, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[3] := array_tmp14[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp15[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 0.;
array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4_a1[4] := att(3, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[4] := att(3, array_tmp4_a1, array_tmp3, 1);
array_tmp4[4] := (
array_tmp4_a1[4] - ats(4, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[4] := 0.;
array_tmp7[4] := -ats(4, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0)
;
array_tmp8_a1[4] := att(3, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[4] := att(3, array_tmp8_a1, array_tmp7, 1);
array_tmp8[4] := (
array_tmp8_a1[4] - ats(4, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[4] := ats(4, array_tmp4, array_tmp8, 1);
array_tmp10[4] := array_const_1D0[4] - array_tmp9[4];
array_tmp13[4] := 0.;
array_tmp13[4] :=
-ats(4, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[4] := (array_tmp10[4] - ats(4, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[4] := array_tmp14[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp15[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 0.;
array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4_a1[5] := att(4, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[5] := att(4, array_tmp4_a1, array_tmp3, 1);
array_tmp4[5] := (
array_tmp4_a1[5] - ats(5, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[5] := 0.;
array_tmp7[5] := -ats(5, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0)
;
array_tmp8_a1[5] := att(4, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[5] := att(4, array_tmp8_a1, array_tmp7, 1);
array_tmp8[5] := (
array_tmp8_a1[5] - ats(5, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[5] := ats(5, array_tmp4, array_tmp8, 1);
array_tmp10[5] := array_const_1D0[5] - array_tmp9[5];
array_tmp13[5] := 0.;
array_tmp13[5] :=
-ats(5, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[5] := (array_tmp10[5] - ats(5, array_tmp13, array_tmp14, 2)
)/array_tmp13[1];
array_tmp15[5] := array_tmp14[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp15[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := 0.;
array_tmp3[kkk] :=
-ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0);
array_tmp4_a1[kkk] := att(kkk - 1, array_tmp4_a2, array_tmp3, 1);
array_tmp4_a2[kkk] := att(kkk - 1, array_tmp4_a1, array_tmp3, 1);
array_tmp4[kkk] := (
array_tmp4_a1[kkk] - ats(kkk, array_tmp4_a2, array_tmp4, 2))/
array_tmp4_a2[1];
array_tmp7[kkk] := 0.;
array_tmp7[kkk] :=
-ats(kkk, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0);
array_tmp8_a1[kkk] := att(kkk - 1, array_tmp8_a2, array_tmp7, 1);
array_tmp8_a2[kkk] := att(kkk - 1, array_tmp8_a1, array_tmp7, 1);
array_tmp8[kkk] := (
array_tmp8_a1[kkk] - ats(kkk, array_tmp8_a2, array_tmp8, 2))/
array_tmp8_a2[1];
array_tmp9[kkk] := ats(kkk, array_tmp4, array_tmp8, 1);
array_tmp10[kkk] := -array_tmp9[kkk];
array_tmp13[kkk] := 0.;
array_tmp13[kkk] :=
-ats(kkk, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0);
array_tmp14[kkk] := (
array_tmp10[kkk] - ats(kkk, array_tmp13, array_tmp14, 2))/
array_tmp13[1];
array_tmp15[kkk] := array_tmp14[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp15[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 16
> # Begin Function number 17
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 26
> # Begin Function number 27
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 27
> # Begin Function number 28
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(tanh(sqrt(2.0*x + 1.0)));
> end;
exact_soln_y := proc(x) return tanh(sqrt(2.0*x + 1.0)) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4_a1,
> array_tmp4_a2,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8_g,
> array_tmp8_a1,
> array_tmp8_a2,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_max_h := 0.1;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-200;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/tanh_sqrt_newpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 1.0 ;");
> 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,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(tanh(sqrt(2.0*x + 1.0)));");
> 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 := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4_g:= Array(0..(max_terms + 1),[]);
> array_tmp4_a1:= Array(0..(max_terms + 1),[]);
> array_tmp4_a2:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_tmp7:= Array(0..(max_terms + 1),[]);
> array_tmp8_g:= Array(0..(max_terms + 1),[]);
> array_tmp8_a1:= Array(0..(max_terms + 1),[]);
> array_tmp8_a2:= Array(0..(max_terms + 1),[]);
> array_tmp8:= Array(0..(max_terms + 1),[]);
> array_tmp9:= Array(0..(max_terms + 1),[]);
> array_tmp10:= Array(0..(max_terms + 1),[]);
> array_tmp11:= Array(0..(max_terms + 1),[]);
> array_tmp12:= Array(0..(max_terms + 1),[]);
> array_tmp13:= Array(0..(max_terms + 1),[]);
> array_tmp14:= Array(0..(max_terms + 1),[]);
> array_tmp15:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp10 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp11 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp12 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp13 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp14 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp15 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1D0[1] := 1.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 1.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 1000000;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> if (glob_max_h < glob_h) then # if number 2
> glob_h := glob_max_h;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T20:08:38-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"tanh_sqrt_new")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"tanh_sqrt_new diffeq.mxt")
> ;
> logitem_str(html_log_file,"tanh_sqrt_new maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp,
subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_1D0, array_const_2D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1,
array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g,
array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10,
array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_max_h := 0.1;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-200);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/tanh_sqrt_newpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0\
* x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0\
* x + 1.0 ) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 1.0 ;");
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, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(tanh(sqrt(2.0*x + 1.0)));");
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 := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4_g := Array(0 .. max_terms + 1, []);
array_tmp4_a1 := Array(0 .. max_terms + 1, []);
array_tmp4_a2 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_tmp7 := Array(0 .. max_terms + 1, []);
array_tmp8_g := Array(0 .. max_terms + 1, []);
array_tmp8_a1 := Array(0 .. max_terms + 1, []);
array_tmp8_a2 := Array(0 .. max_terms + 1, []);
array_tmp8 := Array(0 .. max_terms + 1, []);
array_tmp9 := Array(0 .. max_terms + 1, []);
array_tmp10 := Array(0 .. max_terms + 1, []);
array_tmp11 := Array(0 .. max_terms + 1, []);
array_tmp12 := Array(0 .. max_terms + 1, []);
array_tmp13 := Array(0 .. max_terms + 1, []);
array_tmp14 := Array(0 .. max_terms + 1, []);
array_tmp15 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp9[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp10[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp11[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp12[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp13[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp14[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp15[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_g[term] := 0.; term := term + 1
end do;
array_tmp4_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a1[term] := 0.; term := term + 1
end do;
array_tmp4_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_a2[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp8_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp8_g[term] := 0.; term := term + 1
end do;
array_tmp8_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp8_a1[term] := 0.; term := term + 1
end do;
array_tmp8_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp8_a2[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1
end do;
array_tmp10 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp10[term] := 0.; term := term + 1
end do;
array_tmp11 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp11[term] := 0.; term := term + 1
end do;
array_tmp12 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp12[term] := 0.; term := term + 1
end do;
array_tmp13 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp13[term] := 0.; term := term + 1
end do;
array_tmp14 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp14[term] := 0.; term := term + 1
end do;
array_tmp15 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp15[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_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_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 := 0.1;
x_end := 1.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2\
.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt\
( 2.0 * x + 1.0 ) ;");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-28T20:08:38-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"tanh_sqrt_new");
logitem_str(html_log_file, "diff ( y , x , 1 ) = ( 1.0 - ( ta\
nh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1\
.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file, "tanh_sqrt_new diffeq.mxt");
logitem_str(html_log_file, "tanh_sqrt_new maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/tanh_sqrt_newpostode.ode#################
diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 1.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(tanh(sqrt(2.0*x + 1.0)));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
memory used=3.8MB, alloc=2.8MB, time=0.15
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 0.9
estimated_steps = 900
step_error = 1.1111111111111111111111111111111e-13
est_needed_step_err = 1.1111111111111111111111111111111e-13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.4212789910658452163148110502310e-75
max_value3 = 1.4212789910658452163148110502310e-75
value3 = 1.4212789910658452163148110502310e-75
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 0.79885692505176302212099519039871
y[1] (numeric) = 0.79885692505176302212099519039871
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.015
Order of pole = 0.1243
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.8MB, time=0.28
x[1] = 0.101
y[1] (analytic) = 0.79918684886066994956419751065329
y[1] (numeric) = 0.79918684886066994956419751065327
absolute error = 2e-32
relative error = 2.5025436828086238160101711876177e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.016
Order of pole = 0.1244
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 0.79951601806046328131122773518083
y[1] (numeric) = 0.79951601806046328131122773518081
absolute error = 2e-32
relative error = 2.5015133591091483223596769990346e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.017
Order of pole = 0.1244
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=3.9MB, time=0.42
x[1] = 0.103
y[1] (analytic) = 0.7998444350317593564753200623953
y[1] (numeric) = 0.79984443503175935647532006239529
absolute error = 1e-32
relative error = 1.2502431175385912176150558591353e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.019
Order of pole = 0.1244
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 0.80017210214502406193183729659957
y[1] (numeric) = 0.80017210214502406193183729659957
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.02
Order of pole = 0.1245
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=3.9MB, time=0.56
x[1] = 0.105
y[1] (analytic) = 0.8004990217606297060114613306007
y[1] (numeric) = 0.80049902176062970601146133060069
absolute error = 1e-32
relative error = 1.2492207645683124165906900933943e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.021
Order of pole = 0.1245
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 0.80082519622891148719603804928797
y[1] (numeric) = 0.80082519622891148719603804928796
absolute error = 1e-32
relative error = 1.2487119595000298770212136627676e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.022
Order of pole = 0.1246
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.0MB, time=0.70
x[1] = 0.107
y[1] (analytic) = 0.8011506278902235613588470659497
y[1] (numeric) = 0.8011506278902235613588470659497
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.023
Order of pole = 0.1246
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 0.80147531907499471105418589612191
y[1] (numeric) = 0.80147531907499471105418589612192
absolute error = 1e-32
relative error = 1.2476990572262764459759181240884e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.024
Order of pole = 0.1246
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.0MB, time=0.85
x[1] = 0.109
y[1] (analytic) = 0.80179927210378362032472315021605
y[1] (numeric) = 0.80179927210378362032472315021604
absolute error = 1e-32
relative error = 1.2471949461567503060007197087572e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.026
Order of pole = 0.1247
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0.8021224892873337584590799560613
y[1] (numeric) = 0.8021224892873337584590799560613
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.027
Order of pole = 0.1247
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.0MB, time=0.99
x[1] = 0.111
y[1] (analytic) = 0.80244497292662787609653707022607
y[1] (numeric) = 0.80244497292662787609653707022608
absolute error = 1e-32
relative error = 1.2461913697993042416284670801334e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.028
Order of pole = 0.1247
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.1MB, time=1.13
x[1] = 0.112
y[1] (analytic) = 0.80276672531294211704063105975462
y[1] (numeric) = 0.80276672531294211704063105975463
absolute error = 1e-32
relative error = 1.2456918908916790771117364764582e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.029
Order of pole = 0.1248
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 0.80308774872789974910869068219427
y[1] (numeric) = 0.80308774872789974910869068219428
absolute error = 1e-32
relative error = 1.2451939424851288375942367182143e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.03
Order of pole = 0.1248
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.1MB, time=1.27
x[1] = 0.114
y[1] (analytic) = 0.80340804544352451731006839958754
y[1] (numeric) = 0.80340804544352451731006839958754
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.031
Order of pole = 0.1249
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 0.80372761772229362261193615770792
y[1] (numeric) = 0.80372761772229362261193615770792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.033
Order of pole = 0.1249
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.1MB, time=1.41
x[1] = 0.116
y[1] (analytic) = 0.80404646781719032951803355813126
y[1] (numeric) = 0.80404646781719032951803355813126
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.034
Order of pole = 0.1249
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 0.80436459797175620565267484585376
y[1] (numeric) = 0.80436459797175620565267484585376
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.035
Order of pole = 0.125
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.1MB, time=1.55
x[1] = 0.118
y[1] (analytic) = 0.80468201042014299650963331094844
y[1] (numeric) = 0.80468201042014299650963331094845
absolute error = 1e-32
relative error = 1.2427269244876954389753771629639e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.036
Order of pole = 0.125
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 0.80499870738716413849322242339593
y[1] (numeric) = 0.80499870738716413849322242339594
absolute error = 1e-32
relative error = 1.2422380195438624317688173652926e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.037
Order of pole = 0.1251
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.1MB, time=1.70
x[1] = 0.12
y[1] (analytic) = 0.80531469108834591334697703089616
y[1] (numeric) = 0.80531469108834591334697703089616
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.038
Order of pole = 0.1251
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 0.8056299637299782470338000749328
y[1] (numeric) = 0.80562996372997824703380007493278
absolute error = 2e-32
relative error = 2.4825293125149164843566480242891e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.04
Order of pole = 0.1251
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.1MB, time=1.84
x[1] = 0.122
y[1] (analytic) = 0.8059445275091651561002754236566
y[1] (numeric) = 0.80594452750916515610027542365659
absolute error = 1e-32
relative error = 1.2407801850712709950346963197036e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.041
Order of pole = 0.1252
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 0.8062583846138748445270505612736
y[1] (numeric) = 0.80625838461387484452705056127357
absolute error = 3e-32
relative error = 3.7208915370681445046285243984536e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.042
Order of pole = 0.1252
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.1MB, time=1.98
x[1] = 0.124
y[1] (analytic) = 0.80657153722298945403675906823646
y[1] (numeric) = 0.80657153722298945403675906823646
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.043
Order of pole = 0.1252
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 0.80688398750635447080087720472571
y[1] (numeric) = 0.80688398750635447080087720472572
absolute error = 1e-32
relative error = 1.2393355370583862014206509656360e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.044
Order of pole = 0.1253
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.1MB, time=2.12
x[1] = 0.126
y[1] (analytic) = 0.80719573762482779145718667492013
y[1] (numeric) = 0.80719573762482779145718667492013
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.045
Order of pole = 0.1253
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.1MB, time=2.26
x[1] = 0.127
y[1] (analytic) = 0.80750678973032845132014207660783
y[1] (numeric) = 0.80750678973032845132014207660781
absolute error = 2e-32
relative error = 2.4767593603366623485721055201943e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.047
Order of pole = 0.1254
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 0.80781714596588501763741197574687
y[1] (numeric) = 0.80781714596588501763741197574687
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.048
Order of pole = 0.1254
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.1MB, time=2.41
x[1] = 0.129
y[1] (analytic) = 0.80812680846568365071717240421157
y[1] (numeric) = 0.80812680846568365071717240421155
absolute error = 2e-32
relative error = 2.4748591174660036413094119382855e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.049
Order of pole = 0.1254
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0.80843577935511583572237634515325
y[1] (numeric) = 0.80843577935511583572237634515323
absolute error = 2e-32
relative error = 2.4739132669207039421653057698302e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.05
Order of pole = 0.1255
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.1MB, time=2.55
x[1] = 0.131
y[1] (analytic) = 0.80874406075082578790019799547305
y[1] (numeric) = 0.80874406075082578790019799547305
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.051
Order of pole = 0.1255
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 0.80905165476075753398715189634792
y[1] (numeric) = 0.8090516547607575339871518963479
absolute error = 2e-32
relative error = 2.4720300468224301011530030672579e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.052
Order of pole = 0.1256
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.1MB, time=2.69
x[1] = 0.133
y[1] (analytic) = 0.80935856348420167250301008318662
y[1] (numeric) = 0.8093585634842016725030100831866
absolute error = 2e-32
relative error = 2.4710926531625425014855823697271e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.053
Order of pole = 0.1256
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 0.80966478901184181561958097246813
y[1] (numeric) = 0.80966478901184181561958097246812
absolute error = 1e-32
relative error = 1.2350790272360163384650529349042e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.055
Order of pole = 0.1256
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.1MB, time=2.83
x[1] = 0.135
y[1] (analytic) = 0.80997033342580071526366758426513
y[1] (numeric) = 0.80997033342580071526366758426512
absolute error = 1e-32
relative error = 1.2346131194342161797066743881755e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.056
Order of pole = 0.1257
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 0.81027519879968607608708576747527
y[1] (numeric) = 0.81027519879968607608708576747525
absolute error = 2e-32
relative error = 2.4682971945367839111423932303248e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.057
Order of pole = 0.1257
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.1MB, time=2.97
x[1] = 0.137
y[1] (analytic) = 0.81057938719863605791049128240156
y[1] (numeric) = 0.81057938719863605791049128240156
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.058
Order of pole = 0.1258
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 0.8108829006793644702219338948203
y[1] (numeric) = 0.81088290067936447022193389482029
absolute error = 1e-32
relative error = 1.2332236863820801297399387497976e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.059
Order of pole = 0.1258
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.1MB, time=3.12
x[1] = 0.139
y[1] (analytic) = 0.8111857412902056612855230984955
y[1] (numeric) = 0.81118574129020566128552309849551
absolute error = 1e-32
relative error = 1.2327632860132401111498497181523e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.06
Order of pole = 0.1258
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 0.81148791107115910439034981869922
y[1] (numeric) = 0.8114879110711591043903498186992
absolute error = 2e-32
relative error = 2.4646084959663935976418807524484e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.062
Order of pole = 0.1259
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.1MB, time=3.26
x[1] = 0.141
y[1] (analytic) = 0.81178941205393368374485762419242
y[1] (numeric) = 0.81178941205393368374485762419242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.063
Order of pole = 0.1259
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.1MB, time=3.40
x[1] = 0.142
y[1] (analytic) = 0.81209024626199168249719181197597
y[1] (numeric) = 0.81209024626199168249719181197598
absolute error = 1e-32
relative error = 1.2313902360026449575889290368657e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.064
Order of pole = 0.126
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 0.81239041571059247533767150581492
y[1] (numeric) = 0.81239041571059247533767150581492
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.065
Order of pole = 0.126
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.1MB, time=3.55
x[1] = 0.144
y[1] (analytic) = 0.81268992240683592811542495830351
y[1] (numeric) = 0.81268992240683592811542495830352
absolute error = 1e-32
relative error = 1.2304816048886550290532166912312e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.066
Order of pole = 0.126
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 0.81298876834970550687739795274691
y[1] (numeric) = 0.8129887683497055068773979527469
absolute error = 1e-32
relative error = 1.2300292930613427399724366973392e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.067
Order of pole = 0.1261
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.1MB, time=3.69
x[1] = 0.146
y[1] (analytic) = 0.81328695553011109871438600366887
y[1] (numeric) = 0.81328695553011109871438600366888
absolute error = 1e-32
relative error = 1.2295783095994536041007274916114e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.069
Order of pole = 0.1261
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 0.81358448593093154677544944333854
y[1] (numeric) = 0.81358448593093154677544944333855
absolute error = 1e-32
relative error = 1.2291286489512707037988502920226e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.07
Order of pole = 0.1262
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.1MB, time=3.83
x[1] = 0.148
y[1] (analytic) = 0.81388136152705690178904299728258
y[1] (numeric) = 0.81388136152705690178904299728257
absolute error = 1e-32
relative error = 1.2286803055960579552371972126619e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.071
Order of pole = 0.1262
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 0.81417758428543039240642468535831
y[1] (numeric) = 0.81417758428543039240642468535831
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.072
Order of pole = 0.1262
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.1MB, time=3.98
x[1] = 0.15
y[1] (analytic) = 0.8144731561650901166603994769422
y[1] (numeric) = 0.81447315616509011666039947694218
absolute error = 2e-32
relative error = 2.4555750976703875807752513263077e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.073
Order of pole = 0.1263
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 0.81476807911721045681019776798432
y[1] (numeric) = 0.81476807911721045681019776798432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.074
Order of pole = 0.1263
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.1MB, time=4.12
x[1] = 0.152
y[1] (analytic) = 0.81506235508514321982128417067296
y[1] (numeric) = 0.81506235508514321982128417067295
absolute error = 1e-32
relative error = 1.2268999957623337713371328482440e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.075
Order of pole = 0.1264
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 0.81535598600445850570713509678839
y[1] (numeric) = 0.81535598600445850570713509678839
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.077
Order of pole = 0.1264
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.1MB, time=4.26
x[1] = 0.154
y[1] (analytic) = 0.81564897380298530593851100328074
y[1] (numeric) = 0.81564897380298530593851100328073
absolute error = 1e-32
relative error = 1.2260176033048543784830481089758e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.078
Order of pole = 0.1264
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 0.8159413204008518341044778284357
y[1] (numeric) = 0.8159413204008518341044778284357
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.079
Order of pole = 0.1265
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.1MB, time=4.41
x[1] = 0.156
y[1] (analytic) = 0.81623302771052559098839899922624
y[1] (numeric) = 0.81623302771052559098839899922623
absolute error = 1e-32
relative error = 1.2251403288653087591728323784114e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.08
Order of pole = 0.1265
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.1MB, time=4.55
x[1] = 0.157
y[1] (analytic) = 0.81652409763685316620132139916381
y[1] (numeric) = 0.8165240976368531662013213991638
absolute error = 1e-32
relative error = 1.2247035977188602630236819841559e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.081
Order of pole = 0.1266
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 0.81681453207709977849461285860321
y[1] (numeric) = 0.81681453207709977849461285860321
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.082
Order of pole = 0.1266
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.1MB, time=4.69
x[1] = 0.159
y[1] (analytic) = 0.81710433292098855685337211612957
y[1] (numeric) = 0.81710433292098855685337211612958
absolute error = 1e-32
relative error = 1.2238339214592035265908796917113e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.084
Order of pole = 0.1266
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0.81739350205073956445202189247954
y[1] (numeric) = 0.81739350205073956445202189247953
absolute error = 1e-32
relative error = 1.2234009659865453246968188406911e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.085
Order of pole = 0.1267
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.1MB, time=4.83
x[1] = 0.161
y[1] (analytic) = 0.81768204134110856753360885086932
y[1] (numeric) = 0.81768204134110856753360885086931
absolute error = 1e-32
relative error = 1.2229692587596340617279887243413e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.086
Order of pole = 0.1267
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 0.81796995265942555125466796375887
y[1] (numeric) = 0.81796995265942555125466796375888
absolute error = 1e-32
relative error = 1.2225387946693507408875406457758e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.087
Order of pole = 0.1268
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.1MB, time=4.98
x[1] = 0.163
y[1] (analytic) = 0.8182572378656329845180603801582
y[1] (numeric) = 0.81825723786563298451806038015818
absolute error = 2e-32
relative error = 2.4442191372689359952336507455752e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.088
Order of pole = 0.1268
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 0.81854389881232383579696054318602
y[1] (numeric) = 0.81854389881232383579696054318604
absolute error = 2e-32
relative error = 2.4433631512029155371822205722089e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.089
Order of pole = 0.1268
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.1MB, time=5.12
x[1] = 0.165
y[1] (analytic) = 0.8188299373447793419341473371318
y[1] (numeric) = 0.8188299373447793419341473371318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.09
Order of pole = 0.1269
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 0.81911535530100653188194277734988
y[1] (numeric) = 0.81911535530100653188194277734989
absolute error = 1e-32
relative error = 1.2208292684642963577206935649584e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.092
Order of pole = 0.1269
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.1MB, time=5.26
x[1] = 0.167
y[1] (analytic) = 0.81940015451177550732953756314224
y[1] (numeric) = 0.81940015451177550732953756314225
absolute error = 1e-32
relative error = 1.2204049443898769885237227171789e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.093
Order of pole = 0.127
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 0.81968433680065648214604309857062
y[1] (numeric) = 0.81968433680065648214604309857062
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.094
Order of pole = 0.127
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.1MB, time=5.41
x[1] = 0.169
y[1] (analytic) = 0.81996790398405658254941179054556
y[1] (numeric) = 0.81996790398405658254941179054556
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.095
Order of pole = 0.1271
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0.82025085787125640989336903508775
y[1] (numeric) = 0.82025085787125640989336903508776
absolute error = 1e-32
relative error = 1.2191392308875297286483270658765e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.096
Order of pole = 0.1271
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.1MB, time=5.55
x[1] = 0.171
y[1] (analytic) = 0.82053320026444636794669881419043
y[1] (numeric) = 0.82053320026444636794669881419045
absolute error = 2e-32
relative error = 2.4374394593118572019937937881349e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.097
Order of pole = 0.1271
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 0.82081493295876275652161779483684
y[1] (numeric) = 0.82081493295876275652161779483684
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.099
Order of pole = 0.1272
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.1MB, time=5.69
x[1] = 0.173
y[1] (analytic) = 0.82109605774232363329055783028108
y[1] (numeric) = 0.82109605774232363329055783028108
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.1
Order of pole = 0.1272
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.1MB, time=5.83
x[1] = 0.174
y[1] (analytic) = 0.82137657639626444561345142722181
y[1] (numeric) = 0.8213765763962644456134514272218
absolute error = 1e-32
relative error = 1.2174683680260691681719399891673e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.101
Order of pole = 0.1273
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 0.82165649069477343418057670970255
y[1] (numeric) = 0.82165649069477343418057670970256
absolute error = 1e-32
relative error = 1.2170536122150309824236732324718e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.102
Order of pole = 0.1273
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.1MB, time=5.98
x[1] = 0.176
y[1] (analytic) = 0.82193580240512681025916536285023
y[1] (numeric) = 0.82193580240512681025916536285023
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.103
Order of pole = 0.1273
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 0.82221451328772370831530669046557
y[1] (numeric) = 0.82221451328772370831530669046557
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.104
Order of pole = 0.1274
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.1MB, time=6.12
x[1] = 0.178
y[1] (analytic) = 0.82249262509612091576619101523729
y[1] (numeric) = 0.82249262509612091576619101523731
absolute error = 2e-32
relative error = 2.4316327453589863297668317313599e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.105
Order of pole = 0.1274
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 0.82277013957706738160142396537701
y[1] (numeric) = 0.82277013957706738160142396537703
absolute error = 2e-32
relative error = 2.4308125730329371534423939434725e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.107
Order of pole = 0.1275
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.1MB, time=6.26
x[1] = 0.18
y[1] (analytic) = 0.82304705847053850559600753389265
y[1] (numeric) = 0.82304705847053850559600753389266
absolute error = 1e-32
relative error = 1.2149973561150824984183454736780e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.108
Order of pole = 0.1275
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 0.82332338350977020982162200389812
y[1] (numeric) = 0.82332338350977020982162200389811
absolute error = 1e-32
relative error = 1.2145895768647668987126200583685e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.109
Order of pole = 0.1275
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.1MB, time=6.41
x[1] = 0.182
y[1] (analytic) = 0.82359911642129279414705277244102
y[1] (numeric) = 0.82359911642129279414705277244103
absolute error = 1e-32
relative error = 1.2141829441794513471053117745196e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.11
Order of pole = 0.1276
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 0.82387425892496457740298567278845
y[1] (numeric) = 0.82387425892496457740298567278847
absolute error = 2e-32
relative error = 2.4275549069947973800256944704268e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.111
Order of pole = 0.1276
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.1MB, time=6.55
x[1] = 0.184
y[1] (analytic) = 0.82414881273400532587094151629012
y[1] (numeric) = 0.8241488127340053258709415162901
absolute error = 2e-32
relative error = 2.4267462005620841254702412205116e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.112
Order of pole = 0.1277
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 0.82442277955502947074083320362817
y[1] (numeric) = 0.82442277955502947074083320362815
absolute error = 2e-32
relative error = 2.4259397600336464489409520610083e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.114
Order of pole = 0.1277
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.1MB, time=6.69
x[1] = 0.186
y[1] (analytic) = 0.82469616108807911616650487325906
y[1] (numeric) = 0.82469616108807911616650487325905
absolute error = 1e-32
relative error = 1.2125677882150322037476373067385e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.115
Order of pole = 0.1278
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 0.82496895902665683953365017153353
y[1] (numeric) = 0.82496895902665683953365017153354
absolute error = 1e-32
relative error = 1.2121668204096482417835130462567e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.116
Order of pole = 0.1278
memory used=183.1MB, alloc=4.1MB, time=6.84
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 0.82524117505775828553970388089679
y[1] (numeric) = 0.82524117505775828553970388089678
absolute error = 1e-32
relative error = 1.2117669721581820214127164947981e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.117
Order of pole = 0.1278
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.1MB, time=6.98
x[1] = 0.189
y[1] (analytic) = 0.82551281086190455567065589302029
y[1] (numeric) = 0.82551281086190455567065589302028
absolute error = 1e-32
relative error = 1.2113682390415191693698545340193e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.118
Order of pole = 0.1279
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0.82578386811317439464524695235881
y[1] (numeric) = 0.8257838681131743946452469523588
absolute error = 1e-32
relative error = 1.2109706166637650198391826568389e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.119
Order of pole = 0.1279
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.1MB, time=7.12
x[1] = 0.191
y[1] (analytic) = 0.82605434847923617538266983806846
y[1] (numeric) = 0.82605434847923617538266983806846
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.12
Order of pole = 0.128
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 0.82632425362137968403571583964331
y[1] (numeric) = 0.82632425362137968403571583964332
absolute error = 1e-32
relative error = 1.2101786866565800169713483462542e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.122
Order of pole = 0.128
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.1MB, time=7.26
x[1] = 0.193
y[1] (analytic) = 0.82659358519454770661727268038371
y[1] (numeric) = 0.82659358519454770661727268038371
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.123
Order of pole = 0.128
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 0.82686234484736741873419464406178
y[1] (numeric) = 0.82686234484736741873419464406176
absolute error = 2e-32
relative error = 2.4187822948560863358506339647393e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.124
Order of pole = 0.1281
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.1MB, time=7.41
x[1] = 0.195
y[1] (analytic) = 0.82713053422218157992882677949075
y[1] (numeric) = 0.82713053422218157992882677949076
absolute error = 1e-32
relative error = 1.2089990136083921779438192980986e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.125
Order of pole = 0.1281
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 0.82739815495507953411487093479482
y[1] (numeric) = 0.82739815495507953411487093479482
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.126
Order of pole = 0.1282
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.1MB, time=7.55
x[1] = 0.197
y[1] (analytic) = 0.82766520867592801758083027138148
y[1] (numeric) = 0.82766520867592801758083027138147
absolute error = 1e-32
relative error = 1.2082179962593421046435237940174e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.127
Order of pole = 0.1282
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 0.82793169700840177602095911366337
y[1] (numeric) = 0.82793169700840177602095911366336
absolute error = 1e-32
relative error = 1.2078291042767651042043277998902e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.128
Order of pole = 0.1283
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.1MB, time=7.70
x[1] = 0.199
y[1] (analytic) = 0.82819762157001399204047481418375
y[1] (numeric) = 0.82819762157001399204047481418375
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.13
Order of pole = 0.1283
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 0.82846298397214652456875608736621
y[1] (numeric) = 0.82846298397214652456875608736621
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.131
Order of pole = 0.1283
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.1MB, time=7.84
x[1] = 0.201
y[1] (analytic) = 0.82872778582007996160135634335106
y[1] (numeric) = 0.82872778582007996160135634335107
absolute error = 1e-32
relative error = 1.2066688448371922995925161643201e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.132
Order of pole = 0.1284
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 0.82899202871302348767889931301712
y[1] (numeric) = 0.82899202871302348767889931301711
absolute error = 1e-32
relative error = 1.2062842166919981776739864238377e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.133
Order of pole = 0.1284
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.1MB, time=7.98
x[1] = 0.203
y[1] (analytic) = 0.82925571424414456749829609470404
y[1] (numeric) = 0.82925571424414456749829609470405
absolute error = 1e-32
relative error = 1.2059006441836660154504069061952e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.134
Order of pole = 0.1285
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.1MB, time=8.12
x[1] = 0.204
y[1] (analytic) = 0.82951884400059844703922609208884
y[1] (numeric) = 0.82951884400059844703922609208884
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.135
Order of pole = 0.1285
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 0.82978141956355747357645759190148
y[1] (numeric) = 0.82978141956355747357645759190148
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.136
Order of pole = 0.1286
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.1MB, time=8.27
x[1] = 0.206
y[1] (analytic) = 0.83004344250824023593634541119424
y[1] (numeric) = 0.83004344250824023593634541119425
absolute error = 1e-32
relative error = 1.2047562197204786959132246422032e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.138
Order of pole = 0.1286
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 0.83030491440394052634373160862402
y[1] (numeric) = 0.83030491440394052634373160862402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.139
Order of pole = 0.1286
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.1MB, time=8.41
x[1] = 0.208
y[1] (analytic) = 0.83056583681405612519348920471233
y[1] (numeric) = 0.83056583681405612519348920471233
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.14
Order of pole = 0.1287
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 0.83082621129611741006908671417984
y[1] (numeric) = 0.83082621129611741006908671417985
absolute error = 1e-32
relative error = 1.2036211501319459724153464027009e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.141
Order of pole = 0.1287
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.2MB, time=8.55
x[1] = 0.21
y[1] (analytic) = 0.831086039401815790318811600614
y[1] (numeric) = 0.83108603940181579031881160061398
absolute error = 2e-32
relative error = 2.4064897076595392504514160771311e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.142
Order of pole = 0.1288
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 0.83134532267703196848867208057126
y[1] (numeric) = 0.83134532267703196848867208057124
absolute error = 2e-32
relative error = 2.4057391621086642493999412337081e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.143
Order of pole = 0.1288
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.2MB, time=8.69
x[1] = 0.212
y[1] (analytic) = 0.83160406266186402989949761036076
y[1] (numeric) = 0.83160406266186402989949761036074
absolute error = 2e-32
relative error = 2.4049906557674115746480631554436e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.144
Order of pole = 0.1288
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 0.83186226089065536164437748251061
y[1] (numeric) = 0.83186226089065536164437748251061
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.146
Order of pole = 0.1289
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.2MB, time=8.83
x[1] = 0.214
y[1] (analytic) = 0.8321199188920224022713128570165
y[1] (numeric) = 0.8321199188920224022713128570165
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.147
Order of pole = 0.1289
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 0.83237703818888222340480888978964
y[1] (numeric) = 0.83237703818888222340480888978962
absolute error = 2e-32
relative error = 2.4027572941604401393600836393281e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.148
Order of pole = 0.129
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.2MB, time=8.98
x[1] = 0.216
y[1] (analytic) = 0.83263362029847994454909905002843
y[1] (numeric) = 0.83263362029847994454909905002842
absolute error = 1e-32
relative error = 1.2010084335070724977017006439966e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.149
Order of pole = 0.129
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 0.83288966673241598230477190992877
y[1] (numeric) = 0.83288966673241598230477190992877
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.15
Order of pole = 0.1291
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.2MB, time=9.12
x[1] = 0.218
y[1] (analytic) = 0.83314517899667313521976033198781
y[1] (numeric) = 0.83314517899667313521976033198782
absolute error = 1e-32
relative error = 1.2002710034333561682027873299122e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.151
Order of pole = 0.1291
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.2MB, time=9.26
x[1] = 0.219
y[1] (analytic) = 0.83340015859164350548495277603628
y[1] (numeric) = 0.83340015859164350548495277603627
absolute error = 1e-32
relative error = 1.1999037793439975826645739617336e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.152
Order of pole = 0.1291
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 0.83365460701215525867409512181231
y[1] (numeric) = 0.83365460701215525867409512181232
absolute error = 1e-32
relative error = 1.1995375441923507667499199315681e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.154
Order of pole = 0.1292
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.2MB, time=9.41
x[1] = 0.221
y[1] (analytic) = 0.83390852574749922271716769176101
y[1] (numeric) = 0.83390852574749922271716769176101
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.155
Order of pole = 0.1292
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 0.83416191628145532728604481758594
y[1] (numeric) = 0.83416191628145532728604481758595
absolute error = 1e-32
relative error = 1.1988080257341658531961235109597e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.156
Order of pole = 0.1293
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.2MB, time=9.55
x[1] = 0.223
y[1] (analytic) = 0.83441478009231888476097209383404
y[1] (numeric) = 0.83441478009231888476097209383404
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.157
Order of pole = 0.1293
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 0.83466711865292671393622818931692
y[1] (numeric) = 0.83466711865292671393622818931692
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.158
Order of pole = 0.1294
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.2MB, time=9.69
x[1] = 0.225
y[1] (analytic) = 0.83491893343068310761327254501921
y[1] (numeric) = 0.83491893343068310761327254501918
absolute error = 3e-32
relative error = 3.5931632160657749749975922120084e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.159
Order of pole = 0.1294
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 0.83517022588758564521971629333599
y[1] (numeric) = 0.83517022588758564521971629333597
absolute error = 2e-32
relative error = 2.3947213849421890901637860741780e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.16
Order of pole = 0.1294
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.2MB, time=9.83
x[1] = 0.227
y[1] (analytic) = 0.83542099748025085158259012129298
y[1] (numeric) = 0.83542099748025085158259012129296
absolute error = 2e-32
relative error = 2.3940025520453590367316591335773e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.162
Order of pole = 0.1295
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 0.83567124965993970297461841813108
y[1] (numeric) = 0.83567124965993970297461841813105
absolute error = 3e-32
relative error = 3.5899284571783367412100572291093e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.163
Order of pole = 0.1295
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.2MB, time=9.98
x[1] = 0.229
y[1] (analytic) = 0.83592098387258298154254275840415
y[1] (numeric) = 0.83592098387258298154254275840414
absolute error = 1e-32
relative error = 1.1962853179821923317595794505633e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.164
Order of pole = 0.1296
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 0.83617020155880647921696845326333
y[1] (numeric) = 0.83617020155880647921696845326331
absolute error = 2e-32
relative error = 2.3918575384192799166342897856188e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.165
Order of pole = 0.1296
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.2MB, time=10.12
x[1] = 0.231
y[1] (analytic) = 0.83641890415395605219373444700401
y[1] (numeric) = 0.83641890415395605219373444700399
absolute error = 2e-32
relative error = 2.3911463383566334956115591637052e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.166
Order of pole = 0.1297
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 0.83666709308812252706742814954592
y[1] (numeric) = 0.83666709308812252706742814954589
absolute error = 3e-32
relative error = 3.5856555430273423844997561542776e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.167
Order of pole = 0.1297
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.2MB, time=10.26
x[1] = 0.233
y[1] (analytic) = 0.83691476978616645968838179860259
y[1] (numeric) = 0.83691476978616645968838179860257
absolute error = 2e-32
relative error = 2.3897296023476851068806935474676e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.168
Order of pole = 0.1297
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.2MB, time=10.41
x[1] = 0.234
y[1] (analytic) = 0.83716193566774274780529457197329
y[1] (numeric) = 0.83716193566774274780529457197326
absolute error = 3e-32
relative error = 3.5835360784853646888433512339524e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.17
Order of pole = 0.1298
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 0.83740859214732509854652386834956
y[1] (numeric) = 0.83740859214732509854652386834954
absolute error = 2e-32
relative error = 2.3883203716258746792145971977201e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.171
Order of pole = 0.1298
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.2MB, time=10.55
x[1] = 0.236
y[1] (analytic) = 0.83765474063423035178407890537226
y[1] (numeric) = 0.83765474063423035178407890537225
absolute error = 1e-32
relative error = 1.1938092766512010933125167478392e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.172
Order of pole = 0.1299
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 0.83790038253264266041542902071656
y[1] (numeric) = 0.83790038253264266041542902071655
absolute error = 1e-32
relative error = 1.1934592952176415953677802183402e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.173
Order of pole = 0.1299
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.2MB, time=10.69
x[1] = 0.238
y[1] (analytic) = 0.83814551924163752858940679307248
y[1] (numeric) = 0.83814551924163752858940679307245
absolute error = 3e-32
relative error = 3.5793307142110955701642002796948e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.174
Order of pole = 0.13
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 0.83839015215520570889374132521757
y[1] (numeric) = 0.83839015215520570889374132521755
absolute error = 2e-32
relative error = 2.3855242035688332189545107520324e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.175
Order of pole = 0.13
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.2MB, time=10.84
x[1] = 0.24
y[1] (analytic) = 0.83863428266227695951309876381015
y[1] (numeric) = 0.83863428266227695951309876381012
absolute error = 3e-32
relative error = 3.5772446488550217537157556288598e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.176
Order of pole = 0.13
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 0.838877912146743662357934395412
y[1] (numeric) = 0.83887791214674366235793439541195
absolute error = 5e-32
relative error = 5.9603428909037212262178500758211e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.178
Order of pole = 0.1301
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.2MB, time=10.98
x[1] = 0.242
y[1] (analytic) = 0.83912104198748430315597249324664
y[1] (numeric) = 0.83912104198748430315597249324661
absolute error = 3e-32
relative error = 3.5751695522905809079716373716534e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.179
Order of pole = 0.1301
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 0.83936367355838681448972554411377
y[1] (numeric) = 0.83936367355838681448972554411374
absolute error = 3e-32
relative error = 3.5741360920253330203643656437654e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.18
Order of pole = 0.1302
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.2MB, time=11.13
x[1] = 0.244
y[1] (analytic) = 0.83960580822837178275514262149166
y[1] (numeric) = 0.83960580822837178275514262149162
absolute error = 4e-32
relative error = 4.7641404582946914896083461925585e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.181
Order of pole = 0.1302
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 0.8398474473614155200082365627499
y[1] (numeric) = 0.83984744736141552000823656274987
absolute error = 3e-32
relative error = 3.5720772974011265001203910054461e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.182
Order of pole = 0.1303
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.2MB, time=11.27
x[1] = 0.246
y[1] (analytic) = 0.84008859231657300165838034078462
y[1] (numeric) = 0.84008859231657300165838034078459
absolute error = 3e-32
relative error = 3.5710519431378034559513144872210e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.183
Order of pole = 0.1303
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 0.84032924444800067095888368998031
y[1] (numeric) = 0.84032924444800067095888368998028
absolute error = 3e-32
relative error = 3.5700292710515552297333220165474e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.184
Order of pole = 0.1303
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.2MB, time=11.41
x[1] = 0.248
y[1] (analytic) = 0.84056940510497911123746076121579
y[1] (numeric) = 0.84056940510497911123746076121575
absolute error = 4e-32
relative error = 4.7586790284145996307499343815327e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.186
Order of pole = 0.1304
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 0.84080907563193558680127745984722
y[1] (numeric) = 0.84080907563193558680127745984719
absolute error = 3e-32
relative error = 3.5679919341323223984016418113568e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.187
Order of pole = 0.1304
memory used=309.0MB, alloc=4.2MB, time=11.55
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 0.84104825736846645344342229440905
y[1] (numeric) = 0.84104825736846645344342229440903
absolute error = 2e-32
relative error = 2.3779848331863225800295398983525e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.188
Order of pole = 0.1305
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.2MB, time=11.69
x[1] = 0.251
y[1] (analytic) = 0.84128695164935943946987617321537
y[1] (numeric) = 0.84128695164935943946987617321533
absolute error = 4e-32
relative error = 4.7546202780845728835402975083481e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.189
Order of pole = 0.1305
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 0.84152515980461579815836378287038
y[1] (numeric) = 0.84152515980461579815836378287034
absolute error = 4e-32
relative error = 4.7532744011227361579987070061035e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.19
Order of pole = 0.1306
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.2MB, time=11.84
x[1] = 0.253
y[1] (analytic) = 0.84176288315947233255285112921089
y[1] (numeric) = 0.84176288315947233255285112921086
absolute error = 3e-32
relative error = 3.5639490170198544346560394543975e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.191
Order of pole = 0.1306
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 0.84200012303442329348990969012268
y[1] (numeric) = 0.84200012303442329348990969012265
absolute error = 3e-32
relative error = 3.5629448475476668117119801509670e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.192
Order of pole = 0.1306
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.2MB, time=11.98
x[1] = 0.255
y[1] (analytic) = 0.84223688074524215174569660398302
y[1] (numeric) = 0.84223688074524215174569660398299
absolute error = 3e-32
relative error = 3.5619432829223646955934847671288e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.194
Order of pole = 0.1307
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 0.84247315760300324518490159029361
y[1] (numeric) = 0.84247315760300324518490159029359
absolute error = 2e-32
relative error = 2.3739628757910593962692982644551e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.195
Order of pole = 0.1307
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.2MB, time=12.12
x[1] = 0.257
y[1] (analytic) = 0.84270895491410330178568407348232
y[1] (numeric) = 0.84270895491410330178568407348229
absolute error = 3e-32
relative error = 3.5599479304284689522952710847390e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.196
Order of pole = 0.1308
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 0.84294427398028283940736746981951
y[1] (numeric) = 0.84294427398028283940736746981946
absolute error = 5e-32
relative error = 5.9315902063022426043163888171128e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.197
Order of pole = 0.1308
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.2MB, time=12.27
x[1] = 0.259
y[1] (analytic) = 0.84317911609864744316047102358284
y[1] (numeric) = 0.8431791160986474431604710235828
absolute error = 4e-32
relative error = 4.7439505125646653367250734870001e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.198
Order of pole = 0.1309
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 0.84341348256168892123154217426275
y[1] (numeric) = 0.84341348256168892123154217426273
absolute error = 2e-32
relative error = 2.3713161353852510482118528970400e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.199
Order of pole = 0.1309
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.2MB, time=12.41
x[1] = 0.261
y[1] (analytic) = 0.84364737465730634000820344343267
y[1] (numeric) = 0.84364737465730634000820344343263
absolute error = 4e-32
relative error = 4.7413174273490976278580268616096e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.2
Order of pole = 0.131
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 0.84388079366882693934284649894065
y[1] (numeric) = 0.84388079366882693934284649894061
absolute error = 4e-32
relative error = 4.7400059700490852557954239122340e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.201
Order of pole = 0.131
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.2MB, time=12.55
x[1] = 0.263
y[1] (analytic) = 0.84411374087502692878649164553446
y[1] (numeric) = 0.84411374087502692878649164553441
absolute error = 5e-32
relative error = 5.9233723583469802034224012054262e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.203
Order of pole = 0.131
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 0.8443462175501521656174827742043
y[1] (numeric) = 0.84434621755015216561748277420425
absolute error = 5e-32
relative error = 5.9217414563748097109654866179692e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.204
Order of pole = 0.1311
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.2MB, time=12.70
x[1] = 0.265
y[1] (analytic) = 0.84457822496393871548290505566117
y[1] (numeric) = 0.84457822496393871548290505566114
absolute error = 3e-32
relative error = 3.5520688449291860031571382011477e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.205
Order of pole = 0.1311
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.2MB, time=12.84
x[1] = 0.266
y[1] (analytic) = 0.84480976438163329646389467353151
y[1] (numeric) = 0.84480976438163329646389467353147
absolute error = 4e-32
relative error = 4.7347937590752621197775742090738e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.206
Order of pole = 0.1312
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 0.84504083706401360736935595581839
y[1] (numeric) = 0.84504083706401360736935595581835
absolute error = 4e-32
relative error = 4.7334990506464620126857824488339e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.207
Order of pole = 0.1312
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.2MB, time=12.98
x[1] = 0.268
y[1] (analytic) = 0.84527144426740854105601068332365
y[1] (numeric) = 0.84527144426740854105601068332361
absolute error = 4e-32
relative error = 4.7322076560468393804185234834176e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.208
Order of pole = 0.1313
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 0.84550158724371828356617644388077
y[1] (numeric) = 0.84550158724371828356617644388073
absolute error = 4e-32
relative error = 4.7309195634271333476656079300627e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.209
Order of pole = 0.1313
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.2MB, time=13.12
x[1] = 0.27
y[1] (analytic) = 0.84573126724043429986820498261792
y[1] (numeric) = 0.8457312672404342998682049826179
absolute error = 2e-32
relative error = 2.3648173804970802726677740298862e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.211
Order of pole = 0.1313
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 0.84596048550065920697810690049751
y[1] (numeric) = 0.84596048550065920697810690049747
absolute error = 4e-32
relative error = 4.7283532370104809541381449545050e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.212
Order of pole = 0.1314
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.2MB, time=13.27
x[1] = 0.272
y[1] (analytic) = 0.84618924326312653523454511364373
y[1] (numeric) = 0.84618924326312653523454511364371
absolute error = 2e-32
relative error = 2.3635374898970330793799041591850e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.213
Order of pole = 0.1314
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 0.84641754176222037849309555008328
y[1] (numeric) = 0.84641754176222037849309555008325
absolute error = 3e-32
relative error = 3.5443499832884774941424090792478e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.214
Order of pole = 0.1315
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.2MB, time=13.41
x[1] = 0.274
y[1] (analytic) = 0.84664538222799493399944898200715
y[1] (numeric) = 0.84664538222799493399944898200712
absolute error = 3e-32
relative error = 3.5433961644075011624666383621766e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.215
Order of pole = 0.1315
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 0.84687276588619393269506203185758
y[1] (numeric) = 0.84687276588619393269506203185756
absolute error = 2e-32
relative error = 2.3616298463762002771099149536244e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.216
Order of pole = 0.1316
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.2MB, time=13.55
x[1] = 0.276
y[1] (analytic) = 0.84709969395826996070265761849385
y[1] (numeric) = 0.84709969395826996070265761849382
absolute error = 3e-32
relative error = 3.5414957901611362859196084491045e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.217
Order of pole = 0.1316
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 0.84732616766140367273292480204797
y[1] (numeric) = 0.84732616766140367273292480204794
absolute error = 3e-32
relative error = 3.5405492176406110493231307716401e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.219
Order of pole = 0.1316
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.2MB, time=13.70
x[1] = 0.278
y[1] (analytic) = 0.84755218820852289814777452699912
y[1] (numeric) = 0.8475521882085228981477745269991
absolute error = 2e-32
relative error = 2.3597366956569532982622175831756e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.22
Order of pole = 0.1317
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 0.84777775680832164040957054402922
y[1] (numeric) = 0.84777775680832164040957054402918
absolute error = 4e-32
relative error = 4.7182176789575528163958980252430e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.221
Order of pole = 0.1317
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.2MB, time=13.84
x[1] = 0.28
y[1] (analytic) = 0.84800287466527897063987321123506
y[1] (numeric) = 0.84800287466527897063987321123502
absolute error = 4e-32
relative error = 4.7169651418680242419483560898529e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.222
Order of pole = 0.1318
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.2MB, time=13.98
x[1] = 0.281
y[1] (analytic) = 0.84822754297967781600540734033223
y[1] (numeric) = 0.8482275429796778160054073403322
absolute error = 3e-32
relative error = 3.5367868266355920873941015061978e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.223
Order of pole = 0.1318
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 0.84845176294762364364319317677218
y[1] (numeric) = 0.84845176294762364364319317677214
absolute error = 4e-32
relative error = 4.7144695487502060115569057377614e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.224
Order of pole = 0.1319
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.2MB, time=14.13
x[1] = 0.283
y[1] (analytic) = 0.84867553576106304083106140440635
y[1] (numeric) = 0.84867553576106304083106140440633
absolute error = 2e-32
relative error = 2.3566132352412736454392441523696e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.225
Order of pole = 0.1319
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 0.84889886260780219210410817259016
y[1] (numeric) = 0.84889886260780219210410817259014
absolute error = 2e-32
relative error = 2.3559932615011823765138631884201e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.226
Order of pole = 0.1319
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.2MB, time=14.27
x[1] = 0.285
y[1] (analytic) = 0.84912174467152525401203399037977
y[1] (numeric) = 0.84912174467152525401203399037974
absolute error = 3e-32
relative error = 3.5330622714891393249940398642715e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.228
Order of pole = 0.132
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 0.84934418313181262820675035943521
y[1] (numeric) = 0.84934418313181262820675035943518
absolute error = 3e-32
relative error = 3.5321369823691601607962749094066e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.229
Order of pole = 0.132
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.2MB, time=14.42
x[1] = 0.287
y[1] (analytic) = 0.84956617916415913354412967175235
y[1] (numeric) = 0.84956617916415913354412967175232
absolute error = 3e-32
relative error = 3.5312140167250219204589294018066e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.23
Order of pole = 0.1321
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 0.84978773393999207787831663432236
y[1] (numeric) = 0.84978773393999207787831663432233
absolute error = 3e-32
relative error = 3.5302933664277220191075270806588e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.231
Order of pole = 0.1321
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.2MB, time=14.56
x[1] = 0.289
y[1] (analytic) = 0.85000884862668923022161276065538
y[1] (numeric) = 0.85000884862668923022161276065535
absolute error = 3e-32
relative error = 3.5293750233858491358091553299489e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.232
Order of pole = 0.1322
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 0.85022952438759669393758875559585
y[1] (numeric) = 0.85022952438759669393758875559581
absolute error = 4e-32
relative error = 4.7046119727271526189812224969337e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.233
Order of pole = 0.1322
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.2MB, time=14.71
x[1] = 0.291
y[1] (analytic) = 0.85044976238204668162977238809996
y[1] (numeric) = 0.85044976238204668162977238809992
absolute error = 4e-32
relative error = 4.7033936358525126720230153770308e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.234
Order of pole = 0.1323
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 0.85066956376537519238300117597021
y[1] (numeric) = 0.85066956376537519238300117597019
absolute error = 2e-32
relative error = 2.3510891716253102533512031806861e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.235
Order of pole = 0.1323
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.2MB, time=14.85
x[1] = 0.293
y[1] (analytic) = 0.85088892968893959200931938242064
y[1] (numeric) = 0.85088892968893959200931938242061
absolute error = 3e-32
relative error = 3.5257245632478886769706270376350e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.237
Order of pole = 0.1323
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 0.85110786130013609694513693831924
y[1] (numeric) = 0.85110786130013609694513693831921
absolute error = 3e-32
relative error = 3.5248176364124487767641295811384e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.238
Order of pole = 0.1324
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.2MB, time=14.99
x[1] = 0.295
y[1] (analytic) = 0.851326359742417162441253453548
y[1] (numeric) = 0.85132635974241716244125345354798
absolute error = 2e-32
relative error = 2.3492753127074944575355425869511e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.239
Order of pole = 0.1324
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 0.85154442615530877568228296956816
y[1] (numeric) = 0.85154442615530877568228296956813
absolute error = 3e-32
relative error = 3.5230105533599553433538687732572e-30 %
Correct digits = 31
h = 0.001
memory used=404.3MB, alloc=4.2MB, time=15.13
Complex estimate of poles used for equation 1
Radius of convergence = 1.24
Order of pole = 0.1325
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 0.85176206167442765446699404224637
y[1] (numeric) = 0.85176206167442765446699404224636
absolute error = 1e-32
relative error = 1.1740367938367204627992356319810e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.241
Order of pole = 0.1325
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.2MB, time=15.27
x[1] = 0.298
y[1] (analytic) = 0.85197926743149835207610464430703
y[1] (numeric) = 0.85197926743149835207610464430702
absolute error = 1e-32
relative error = 1.1737374819163694634638684243019e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.242
Order of pole = 0.1326
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 0.85219604455437026894914176112709
y[1] (numeric) = 0.85219604455437026894914176112705
absolute error = 4e-32
relative error = 4.6937556511326886860085182049502e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.243
Order of pole = 0.1326
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.2MB, time=15.42
x[1] = 0.3
y[1] (analytic) = 0.85241239416703457178709094829414
y[1] (numeric) = 0.85241239416703457178709094829411
absolute error = 3e-32
relative error = 3.5194232516193736200276631448468e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.245
Order of pole = 0.1326
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 0.85262831738964102069272105624676
y[1] (numeric) = 0.85262831738964102069272105624675
absolute error = 1e-32
relative error = 1.1728439926339109255701587623692e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.246
Order of pole = 0.1327
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.2MB, time=15.56
x[1] = 0.302
y[1] (analytic) = 0.85284381533851470495567334371406
y[1] (numeric) = 0.85284381533851470495567334371402
absolute error = 4e-32
relative error = 4.6901905460993482506539496806811e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.247
Order of pole = 0.1327
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 0.85305888912617268808465184026849
y[1] (numeric) = 0.85305888912617268808465184026847
absolute error = 2e-32
relative error = 2.3445040260335270063753609619375e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.248
Order of pole = 0.1328
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.2MB, time=15.70
x[1] = 0.304
y[1] (analytic) = 0.85327353986134056268434262712114
y[1] (numeric) = 0.85327353986134056268434262712113
absolute error = 1e-32
relative error = 1.1719571195920395173166986692802e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.249
Order of pole = 0.1328
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 0.85348776864896891577002323759382
y[1] (numeric) = 0.85348776864896891577002323759381
absolute error = 1e-32
relative error = 1.1716629537444374519267504470277e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.25
Order of pole = 0.1329
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.2MB, time=15.85
x[1] = 0.306
y[1] (analytic) = 0.8537015765902497051081991929624
y[1] (numeric) = 0.85370157659024970510819919296238
absolute error = 2e-32
relative error = 2.3427390259581750857429802160418e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.251
Order of pole = 0.1329
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 0.85391496478263254716702234915462
y[1] (numeric) = 0.85391496478263254716702234915458
absolute error = 4e-32
relative error = 4.6843071792496527096708364531304e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.252
Order of pole = 0.1329
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.2MB, time=15.99
x[1] = 0.308
y[1] (analytic) = 0.85412793431984091725570480374001
y[1] (numeric) = 0.85412793431984091725570480373998
absolute error = 3e-32
relative error = 3.5123543903161998095640843926697e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.254
Order of pole = 0.133
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 0.85434048629188826242764217438984
y[1] (numeric) = 0.85434048629188826242764217438981
absolute error = 3e-32
relative error = 3.5114805491905952399735560129772e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.255
Order of pole = 0.133
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.2MB, time=16.14
x[1] = 0.31
y[1] (analytic) = 0.8545526217850940277175006880574
y[1] (numeric) = 0.85455262178509402771750068805738
absolute error = 2e-32
relative error = 2.3404059024734549419084903300480e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.256
Order of pole = 0.1331
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 0.85476434188209959627810329794374
y[1] (numeric) = 0.85476434188209959627810329794371
absolute error = 3e-32
relative error = 3.5097392965578338082132751649784e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.257
Order of pole = 0.1331
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.2MB, time=16.28
x[1] = 0.312
y[1] (analytic) = 0.85497564766188414397857056107686
y[1] (numeric) = 0.85497564766188414397857056107685
absolute error = 1e-32
relative error = 1.1696239568164500579812601064647e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.258
Order of pole = 0.1332
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.2MB, time=16.42
x[1] = 0.313
y[1] (analytic) = 0.85518654019978040902083185599269
y[1] (numeric) = 0.85518654019978040902083185599267
absolute error = 2e-32
relative error = 2.3386710454221827929850017114537e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.259
Order of pole = 0.1332
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 0.8553970205674903771273212951854
y[1] (numeric) = 0.85539702056749037712732129518537
absolute error = 3e-32
relative error = 3.5071433823907054051784157378436e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.26
Order of pole = 0.1332
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.2MB, time=16.57
x[1] = 0.315
y[1] (analytic) = 0.85560708983310088284840999293966
y[1] (numeric) = 0.85560708983310088284840999293963
absolute error = 3e-32
relative error = 3.5062823060351164473888383341807e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.261
Order of pole = 0.1333
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 0.85581674906109912753390179266688
y[1] (numeric) = 0.85581674906109912753390179266687
absolute error = 1e-32
relative error = 1.1684744439707234929655808602316e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.263
Order of pole = 0.1333
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.2MB, time=16.71
x[1] = 0.317
y[1] (analytic) = 0.85602599931238811450873275024924
y[1] (numeric) = 0.85602599931238811450873275024922
absolute error = 2e-32
relative error = 2.3363776352663599365032487895040e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.264
Order of pole = 0.1334
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 0.85623484164430200198886522689629
y[1] (numeric) = 0.85623484164430200198886522689625
absolute error = 4e-32
relative error = 4.6716155492089684179557340754422e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.265
Order of pole = 0.1334
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.2MB, time=16.85
x[1] = 0.319
y[1] (analytic) = 0.85644327711062137426925498677838
y[1] (numeric) = 0.85644327711062137426925498677835
absolute error = 3e-32
relative error = 3.5028589518748816436470648782018e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.266
Order of pole = 0.1335
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 0.85665130676158843171169384568792
y[1] (numeric) = 0.85665130676158843171169384568787
absolute error = 5e-32
relative error = 5.8366805262943842772560671545433e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.267
Order of pole = 0.1335
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.2MB, time=17.00
x[1] = 0.321
y[1] (analytic) = 0.85685893164392210005629080594216
y[1] (numeric) = 0.85685893164392210005629080594213
absolute error = 3e-32
relative error = 3.5011597466158940733810738456569e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.268
Order of pole = 0.1335
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 0.85706615280083305957635087265469
y[1] (numeric) = 0.85706615280083305957635087265466
absolute error = 3e-32
relative error = 3.5003132374277142618918425182599e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.269
Order of pole = 0.1336
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.2MB, time=17.14
x[1] = 0.323
y[1] (analytic) = 0.85727297127203869459244251450506
y[1] (numeric) = 0.85727297127203869459244251450503
absolute error = 3e-32
relative error = 3.4994687812780803058517347079133e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.27
Order of pole = 0.1336
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 0.85747938809377796385751164949509
y[1] (numeric) = 0.85747938809377796385751164949506
absolute error = 3e-32
relative error = 3.4986263712637556048224104869801e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.272
Order of pole = 0.1337
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.2MB, time=17.29
x[1] = 0.325
y[1] (analytic) = 0.85768540429882619232100174821823
y[1] (numeric) = 0.85768540429882619232100174821819
absolute error = 4e-32
relative error = 4.6637146673494748010009846810996e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.273
Order of pole = 0.1337
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 0.85789102091650978477607580323245
y[1] (numeric) = 0.85789102091650978477607580323241
absolute error = 4e-32
relative error = 4.6625968829079063379734093139708e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.274
Order of pole = 0.1338
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.2MB, time=17.43
x[1] = 0.327
y[1] (analytic) = 0.85809623897272086189020616652401
y[1] (numeric) = 0.85809623897272086189020616652397
absolute error = 4e-32
relative error = 4.6614817992777162210575626092918e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.275
Order of pole = 0.1338
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 0.85830105948993181911560226500275
y[1] (numeric) = 0.85830105948993181911560226500271
absolute error = 4e-32
relative error = 4.6603694074164444651742647021688e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.276
Order of pole = 0.1338
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.2MB, time=17.58
x[1] = 0.329
y[1] (analytic) = 0.85850548348720980897218362757034
y[1] (numeric) = 0.85850548348720980897218362757029
absolute error = 5e-32
relative error = 5.8240746229019176986854657992423e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.277
Order of pole = 0.1339
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.2MB, time=17.72
x[1] = 0.33
y[1] (analytic) = 0.85870951198023114719207616145811
y[1] (numeric) = 0.85870951198023114719207616145807
absolute error = 4e-32
relative error = 4.6581526630301101571497215454972e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.278
Order of pole = 0.1339
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 0.85891314598129564321091286891999
y[1] (numeric) = 0.85891314598129564321091286891994
absolute error = 5e-32
relative error = 5.8213103657734490724181300427469e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.279
Order of pole = 0.134
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.2MB, time=17.86
x[1] = 0.332
y[1] (analytic) = 0.8591163864993408554875558703892
y[1] (numeric) = 0.85911638649934085548755587038915
absolute error = 5e-32
relative error = 5.8199332227541398164759247895715e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.281
Order of pole = 0.134
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 0.85931923453995627213022437294559
y[1] (numeric) = 0.85931923453995627213022437294553
absolute error = 6e-32
relative error = 6.9822712664079375604763774043866e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.282
Order of pole = 0.1341
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.2MB, time=18.01
x[1] = 0.334
y[1] (analytic) = 0.85952169110539741730341277310038
y[1] (numeric) = 0.85952169110539741730341277310032
absolute error = 6e-32
relative error = 6.9806266230275507762298603196948e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.283
Order of pole = 0.1341
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 0.85972375719459988388641409378656
y[1] (numeric) = 0.85972375719459988388641409378649
absolute error = 7e-32
relative error = 8.1421502446809068552927721677619e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.284
Order of pole = 0.1341
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.2MB, time=18.16
x[1] = 0.336
y[1] (analytic) = 0.85992543380319329285072611388015
y[1] (numeric) = 0.85992543380319329285072611388008
absolute error = 7e-32
relative error = 8.1402406823125247439634242755927e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.285
Order of pole = 0.1342
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 0.86012672192351517982011054490863
y[1] (numeric) = 0.86012672192351517982011054490856
absolute error = 7e-32
relative error = 8.1383356912174380066596071870957e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.286
Order of pole = 0.1342
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.2MB, time=18.30
x[1] = 0.338
y[1] (analytic) = 0.86032762254462480927359913761497
y[1] (numeric) = 0.86032762254462480927359913761491
absolute error = 6e-32
relative error = 6.9740873625021643212332437542377e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.287
Order of pole = 0.1343
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 0.86052813665231691684829435794303
y[1] (numeric) = 0.86052813665231691684829435794295
absolute error = 8e-32
relative error = 9.2966164141036985728850464811499e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.288
Order of pole = 0.1343
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.2MB, time=18.45
x[1] = 0.34
y[1] (analytic) = 0.86072826522913538019539595836125
y[1] (numeric) = 0.86072826522913538019539595836117
absolute error = 8e-32
relative error = 9.2944548508236935312535260552767e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.29
Order of pole = 0.1343
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 0.86092800925438681883949809014848
y[1] (numeric) = 0.86092800925438681883949809014841
absolute error = 7e-32
relative error = 8.1307611376965220090052424695971e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.291
Order of pole = 0.1344
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.2MB, time=18.59
x[1] = 0.342
y[1] (analytic) = 0.86112736970415412348784426251136
y[1] (numeric) = 0.86112736970415412348784426251129
absolute error = 7e-32
relative error = 8.1288787771371095391883651878230e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.292
Order of pole = 0.1344
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 0.86132634755130991523289916562319
y[1] (numeric) = 0.86132634755130991523289916562313
absolute error = 6e-32
relative error = 6.9660007696938297722219617244097e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.293
Order of pole = 0.1345
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.2MB, time=18.73
x[1] = 0.344
y[1] (analytic) = 0.86152494376552993508829685050689
y[1] (numeric) = 0.86152494376552993508829685050682
absolute error = 7e-32
relative error = 8.1251274854615227123731737457806e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.294
Order of pole = 0.1345
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.2MB, time=18.87
x[1] = 0.345
y[1] (analytic) = 0.86172315931330636429495371593675
y[1] (numeric) = 0.86172315931330636429495371593668
absolute error = 7e-32
relative error = 8.1232585249051330246701470392635e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.295
Order of pole = 0.1346
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 0.861920995157961075830891911142
y[1] (numeric) = 0.86192099515796107583089191114194
absolute error = 6e-32
relative error = 6.9611948585849242146253229304187e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.296
Order of pole = 0.1346
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.2MB, time=19.02
x[1] = 0.347
y[1] (analytic) = 0.86211845225965881755510384608345
y[1] (numeric) = 0.86211845225965881755510384608337
absolute error = 8e-32
relative error = 9.2794673156937655816067874838357e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.297
Order of pole = 0.1346
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 0.86231553157542032741260123452213
y[1] (numeric) = 0.86231553157542032741260123452207
absolute error = 6e-32
relative error = 6.9580098934762427106926151151699e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.299
Order of pole = 0.1347
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.2MB, time=19.16
x[1] = 0.349
y[1] (analytic) = 0.86251223405913538112463220809957
y[1] (numeric) = 0.86251223405913538112463220809951
absolute error = 6e-32
relative error = 6.9564230663290849862988110621077e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.3
Order of pole = 0.1347
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 0.86270856066157577278491726427189
y[1] (numeric) = 0.86270856066157577278491726427183
absolute error = 6e-32
relative error = 6.9548399930085849119543879957389e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.301
Order of pole = 0.1348
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.2MB, time=19.31
x[1] = 0.351
y[1] (analytic) = 0.86290451233040822877964888220303
y[1] (numeric) = 0.86290451233040822877964888220295
absolute error = 8e-32
relative error = 9.2710142149966885492794795363802e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.302
Order of pole = 0.1348
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 0.86310009001020725544592029654043
y[1] (numeric) = 0.86310009001020725544592029654037
absolute error = 6e-32
relative error = 6.9516850588314066504441221497503e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.303
Order of pole = 0.1348
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.2MB, time=19.45
x[1] = 0.353
y[1] (analytic) = 0.86329529464246792088019590016539
y[1] (numeric) = 0.86329529464246792088019590016531
absolute error = 8e-32
relative error = 9.2668175647976681614673114241908e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.304
Order of pole = 0.1349
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 0.86349012716561857130540879715254
y[1] (numeric) = 0.86349012716561857130540879715247
absolute error = 7e-32
relative error = 8.1066358256779356974141492263876e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.305
Order of pole = 0.1349
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.2MB, time=19.60
x[1] = 0.355
y[1] (analytic) = 0.86368458851503348240226989272258
y[1] (numeric) = 0.86368458851503348240226989272251
absolute error = 7e-32
relative error = 8.1048105906756682536443646251573e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.306
Order of pole = 0.135
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 0.86387867962304544600739733711929
y[1] (numeric) = 0.86387867962304544600739733711921
absolute error = 8e-32
relative error = 9.2605596002100782413325733058843e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.307
Order of pole = 0.135
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.2MB, time=19.74
x[1] = 0.357
y[1] (analytic) = 0.86407240141895829257792488702381
y[1] (numeric) = 0.86407240141895829257792488702375
absolute error = 6e-32
relative error = 6.9438625630756735588387836400355e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.309
Order of pole = 0.1351
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 0.86426575482905934981932256596272
y[1] (numeric) = 0.86426575482905934981932256596266
absolute error = 6e-32
relative error = 6.9423090831439026858444036812394e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.31
Order of pole = 0.1351
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.2MB, time=19.88
x[1] = 0.359
y[1] (analytic) = 0.8644587407766318378702626514748
y[1] (numeric) = 0.86445874077663183787026265147474
absolute error = 6e-32
relative error = 6.9407592485091716333567279060445e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.311
Order of pole = 0.1351
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.2MB, time=20.02
x[1] = 0.36
y[1] (analytic) = 0.8646513601819672014354882515121
y[1] (numeric) = 0.86465136018196720143548825151203
absolute error = 7e-32
relative error = 8.0957485552637531176418408055407e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.312
Order of pole = 0.1352
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 0.8648436139623773792547903182036
y[1] (numeric) = 0.86484361396237737925479031820353
absolute error = 7e-32
relative error = 8.0939488792993684162383085746912e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.313
Order of pole = 0.1352
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.2MB, time=20.17
x[1] = 0.362
y[1] (analytic) = 0.8650355030322070112933716488224
y[1] (numeric) = 0.86503550303220701129337164882232
absolute error = 8e-32
relative error = 9.2481753314836419062626904149262e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.314
Order of pole = 0.1353
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 0.86522702830284558403607300922516
y[1] (numeric) = 0.8652270283028455840360730092251
absolute error = 6e-32
relative error = 6.9345961276418750359125467146281e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.315
Order of pole = 0.1353
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.2MB, time=20.31
x[1] = 0.364
y[1] (analytic) = 0.86541819068273951426515675434778
y[1] (numeric) = 0.86541819068273951426515675434771
absolute error = 7e-32
relative error = 8.0885750673643804360183200309680e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.316
Order of pole = 0.1353
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 0.86560899107740417169858698619241
y[1] (numeric) = 0.86560899107740417169858698619233
absolute error = 8e-32
relative error = 9.2420481793316156946900316672168e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.318
Order of pole = 0.1354
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.2MB, time=20.46
x[1] = 0.366
y[1] (analytic) = 0.86579943038943584086301215723605
y[1] (numeric) = 0.86579943038943584086301215723596
absolute error = 9e-32
relative error = 1.0395017233901167759754930779943e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.319
Order of pole = 0.1354
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 0.86598950951852362257294587385145
y[1] (numeric) = 0.86598950951852362257294587385138
absolute error = 7e-32
relative error = 8.0832387956892093683978507141891e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.32
Order of pole = 0.1355
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.2MB, time=20.60
x[1] = 0.368
y[1] (analytic) = 0.86617922936146127538495426008287
y[1] (numeric) = 0.86617922936146127538495426008279
absolute error = 8e-32
relative error = 9.2359637922713992351302634141436e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.321
Order of pole = 0.1355
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 0.86636859081215899739299338924344
y[1] (numeric) = 0.86636859081215899739299338924335
absolute error = 9e-32
relative error = 1.0388188232404800663930377361956e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.322
Order of pole = 0.1356
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.2MB, time=20.74
x[1] = 0.37
y[1] (analytic) = 0.86655759476165514872839776392532
y[1] (numeric) = 0.86655759476165514872839776392525
absolute error = 7e-32
relative error = 8.0779397033907888571280114984648e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.323
Order of pole = 0.1356
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 0.86674624209812791512540041106652
y[1] (numeric) = 0.86674624209812791512540041106646
absolute error = 6e-32
relative error = 6.9224413197060221758876949868118e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.324
Order of pole = 0.1356
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.2MB, time=20.89
x[1] = 0.372
y[1] (analytic) = 0.86693453370690691291046664691677
y[1] (numeric) = 0.8669345337069069129104666469167
absolute error = 7e-32
relative error = 8.0744274542494564751603897124061e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.325
Order of pole = 0.1357
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 0.86712247047048473577114674855799
y[1] (numeric) = 0.86712247047048473577114674855792
absolute error = 7e-32
relative error = 8.0726774341367586638995391167343e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.326
Order of pole = 0.1357
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.2MB, time=21.03
x[1] = 0.374
y[1] (analytic) = 0.8673100532685284436575974377587
y[1] (numeric) = 0.86731005326852844365759743775862
absolute error = 8e-32
relative error = 9.2239216758197943636340308981143e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.328
Order of pole = 0.1358
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 0.86749728297789099416738803527656
y[1] (numeric) = 0.8674972829778909941673880352765
absolute error = 6e-32
relative error = 6.9164481753805283019548621241526e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.329
Order of pole = 0.1358
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.2MB, time=21.18
x[1] = 0.376
y[1] (analytic) = 0.86768416047262261676169417734444
y[1] (numeric) = 0.86768416047262261676169417734436
absolute error = 8e-32
relative error = 9.2199447269412473736467008617689e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.33
Order of pole = 0.1358
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.2MB, time=21.32
x[1] = 0.377
y[1] (analytic) = 0.86787068662398213015848990120518
y[1] (numeric) = 0.86787068662398213015848990120512
absolute error = 6e-32
relative error = 6.9134723553574625435755506783866e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.331
Order of pole = 0.1359
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 0.86805686230044820324587750555247
y[1] (numeric) = 0.8680568623004482032458775055524
absolute error = 7e-32
relative error = 8.0639878607136560326528638482575e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.332
Order of pole = 0.1359
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.2MB, time=21.46
x[1] = 0.379
y[1] (analytic) = 0.86824268836773055985624367903266
y[1] (numeric) = 0.86824268836773055985624367903259
absolute error = 7e-32
relative error = 8.0622619617560889785411425599109e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.333
Order of pole = 0.136
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 0.86842816568878112773949977209587
y[1] (numeric) = 0.86842816568878112773949977209579
absolute error = 8e-32
relative error = 9.2120457581599932723355243192421e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.334
Order of pole = 0.136
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.2MB, time=21.61
x[1] = 0.381
y[1] (analytic) = 0.86861329512380513207125357302159
y[1] (numeric) = 0.8686132951238051320712535730215
absolute error = 9e-32
relative error = 1.0361342671731973204590090578942e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.335
Order of pole = 0.136
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 0.86879807753027213382936934849036
y[1] (numeric) = 0.86879807753027213382936934849029
absolute error = 7e-32
relative error = 8.0571080680782171117148273018052e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.337
Order of pole = 0.1361
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.2MB, time=21.75
x[1] = 0.383
y[1] (analytic) = 0.86898251376292701337000203522814
y[1] (numeric) = 0.86898251376292701337000203522806
absolute error = 8e-32
relative error = 9.2061691383844508671640736876514e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.338
Order of pole = 0.1361
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 0.86916660467380089953184013659745
y[1] (numeric) = 0.86916660467380089953184013659738
absolute error = 7e-32
relative error = 8.0536918495932169837393350178155e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.339
Order of pole = 0.1362
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.2MB, time=21.90
x[1] = 0.385
y[1] (analytic) = 0.86935035111222204459495990308856
y[1] (numeric) = 0.8693503511122220445949599030885
absolute error = 6e-32
relative error = 6.9017053853187856025464241411336e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.34
Order of pole = 0.1362
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 0.86953375392482664541838057694218
y[1] (numeric) = 0.86953375392482664541838057694211
absolute error = 7e-32
relative error = 8.0502912835804271735561764186470e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.341
Order of pole = 0.1362
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.2MB, time=22.04
x[1] = 0.387
y[1] (analytic) = 0.8697168139555696110781166789985
y[1] (numeric) = 0.86971681395556961107811667899844
absolute error = 6e-32
relative error = 6.8987972909381009698745629489013e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.342
Order of pole = 0.1363
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 0.86989953204573527732524833258264
y[1] (numeric) = 0.86989953204573527732524833258256
absolute error = 8e-32
relative error = 9.1964643102939353625919162262440e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.343
Order of pole = 0.1363
TOP MAIN SOLVE Loop
memory used=591.3MB, alloc=4.2MB, time=22.19
x[1] = 0.389
y[1] (analytic) = 0.87008190903394806818127427893968
y[1] (numeric) = 0.8700819090339480681812742789396
absolute error = 8e-32
relative error = 9.1945366487189693343619023746030e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.344
Order of pole = 0.1364
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 0.87026394575618310498577436740651
y[1] (numeric) = 0.87026394575618310498577436740645
absolute error = 6e-32
relative error = 6.8944600419893596743780229571097e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.345
Order of pole = 0.1364
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.2MB, time=22.33
x[1] = 0.391
y[1] (analytic) = 0.87044564304577676320918872895188
y[1] (numeric) = 0.87044564304577676320918872895182
absolute error = 6e-32
relative error = 6.8930208887086816229621716045002e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.347
Order of pole = 0.1364
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 0.87062700173343717734131939353937
y[1] (numeric) = 0.8706270017334371773413193935393
absolute error = 7e-32
memory used=598.9MB, alloc=4.2MB, time=22.47
relative error = 8.0401825191073200219721975078988e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.348
Order of pole = 0.1365
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 0.87080802264725469416397662135465
y[1] (numeric) = 0.87080802264725469416397662135459
absolute error = 6e-32
relative error = 6.8901524147193909360513626621545e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.349
Order of pole = 0.1365
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.2MB, time=22.62
x[1] = 0.394
y[1] (analytic) = 0.87098870661271227471402651843487
y[1] (numeric) = 0.8709887066127122747140265184348
absolute error = 7e-32
relative error = 8.0368435857487769595201082109965e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.35
Order of pole = 0.1366
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 0.87116905445269584524094843353093
y[1] (numeric) = 0.87116905445269584524094843353086
absolute error = 7e-32
relative error = 8.0351798129442135612363169582553e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.351
Order of pole = 0.1366
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.2MB, time=22.76
x[1] = 0.396
y[1] (analytic) = 0.87134906698750459746088002173013
y[1] (numeric) = 0.87134906698750459746088002173005
absolute error = 8e-32
relative error = 9.1811655088565354013415690267719e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.352
Order of pole = 0.1366
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 0.87152874503486123840701454977039
y[1] (numeric) = 0.87152874503486123840701454977031
absolute error = 8e-32
relative error = 9.1792726809945886370791499611823e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.353
Order of pole = 0.1367
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.2MB, time=22.90
x[1] = 0.398
y[1] (analytic) = 0.87170808940992219017411884807809
y[1] (numeric) = 0.87170808940992219017411884807802
absolute error = 7e-32
relative error = 8.0302111280605981239492869417196e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.354
Order of pole = 0.1367
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 0.87188710092528773985286112700392
y[1] (numeric) = 0.87188710092528773985286112700384
absolute error = 8e-32
relative error = 9.1754998915685556573899978494124e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.355
Order of pole = 0.1367
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.2MB, time=23.05
x[1] = 0.4
y[1] (analytic) = 0.87206578039101213994757551280601
y[1] (numeric) = 0.87206578039101213994757551280592
absolute error = 9e-32
relative error = 1.0320322391235932519739460926443e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.357
Order of pole = 0.1368
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 0.87224412861461365956904446754936
y[1] (numeric) = 0.87224412861461365956904446754928
absolute error = 8e-32
relative error = 9.1717441683515933649924037398430e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.358
Order of pole = 0.1368
TOP MAIN SOLVE Loop
memory used=618.0MB, alloc=4.2MB, time=23.19
x[1] = 0.402
y[1] (analytic) = 0.87242214640108458669185108277068
y[1] (numeric) = 0.87242214640108458669185108277059
absolute error = 9e-32
relative error = 1.0316106757636535953827492600396e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.359
Order of pole = 0.1369
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 0.87259983455290118176384042760208
y[1] (numeric) = 0.87259983455290118176384042760199
absolute error = 9e-32
relative error = 1.0314006081162483751980436504771e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.36
Order of pole = 0.1369
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.2MB, time=23.34
x[1] = 0.404
y[1] (analytic) = 0.87277719387003358295323253772611
y[1] (numeric) = 0.87277719387003358295323253772603
absolute error = 8e-32
relative error = 9.1661423513219006952442662744499e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.361
Order of pole = 0.1369
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 0.87295422514995566331694910326729
y[1] (numeric) = 0.87295422514995566331694910326721
absolute error = 8e-32
relative error = 9.1642834979414456574073170268524e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.362
Order of pole = 0.137
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.2MB, time=23.48
x[1] = 0.406
y[1] (analytic) = 0.87313092918765484017175130426604
y[1] (numeric) = 0.87313092918765484017175130426594
absolute error = 1.0e-31
relative error = 1.1453036040429604747573745737830e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.363
Order of pole = 0.137
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 0.87330730677564183694783740599512
y[1] (numeric) = 0.87330730677564183694783740599504
absolute error = 8e-32
relative error = 9.1605783415885818635595594044028e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.364
Order of pole = 0.1371
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.2MB, time=23.63
x[1] = 0.408
y[1] (analytic) = 0.87348335870396039780261551883249
y[1] (numeric) = 0.8734833587039603978026155188324
absolute error = 9e-32
relative error = 1.0303573514387084968393381172923e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.365
Order of pole = 0.1371
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.2MB, time=23.77
x[1] = 0.409
y[1] (analytic) = 0.87365908576019695527044920594016
y[1] (numeric) = 0.87365908576019695527044920594008
absolute error = 8e-32
relative error = 9.1568898331080254595238911472681e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.367
Order of pole = 0.1371
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 0.87383448872949025122227124532869
y[1] (numeric) = 0.87383448872949025122227124532859
absolute error = 1.0e-31
relative error = 1.1443814737204385451556637194313e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.368
Order of pole = 0.1372
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.2MB, time=23.91
x[1] = 0.411
y[1] (analytic) = 0.8740095683945409114070736811609
y[1] (numeric) = 0.87400956839454091140707368116081
absolute error = 9e-32
relative error = 1.0297370103775873325634249857392e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.369
Order of pole = 0.1372
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 0.87418432553562097384541019395799
y[1] (numeric) = 0.87418432553562097384541019395789
absolute error = 1.0e-31
relative error = 1.1439235076507355320371999299901e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.37
Order of pole = 0.1373
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.2MB, time=24.05
x[1] = 0.413
y[1] (analytic) = 0.87435876093058337134318964370993
y[1] (numeric) = 0.87435876093058337134318964370983
absolute error = 1.0e-31
relative error = 1.1436952938353315950919016639491e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.371
Order of pole = 0.1373
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 0.87453287535487136839219725816393
y[1] (numeric) = 0.87453287535487136839219725816384
absolute error = 9e-32
relative error = 1.0291208316608960895010170133583e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.372
Order of pole = 0.1373
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.2MB, time=24.20
x[1] = 0.415
y[1] (analytic) = 0.87470666958152795272195221654467
y[1] (numeric) = 0.87470666958152795272195221654459
absolute error = 8e-32
relative error = 9.1459231742537337630884892320378e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.373
Order of pole = 0.1374
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 0.87488014438120518176569718379879
y[1] (numeric) = 0.87488014438120518176569718379871
absolute error = 8e-32
relative error = 9.1441096833421996214330189158929e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.374
Order of pole = 0.1374
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.3MB, time=24.34
x[1] = 0.417
y[1] (analytic) = 0.87505330052217348430151655065033
y[1] (numeric) = 0.87505330052217348430151655065024
absolute error = 9e-32
relative error = 1.0285087770801389906619083171997e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.375
Order of pole = 0.1374
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 0.87522613877033091752779560013795
y[1] (numeric) = 0.87522613877033091752779560013785
absolute error = 1.0e-31
relative error = 1.1425618542482894614884727241686e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.377
Order of pole = 0.1375
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.3MB, time=24.49
x[1] = 0.419
y[1] (analytic) = 0.8753986598892123798304624230349
y[1] (numeric) = 0.8753986598892123798304624230348
absolute error = 1.0e-31
relative error = 1.1423366813544776986060613270836e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.378
Order of pole = 0.1375
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 0.87557086463999877949769801508938
y[1] (numeric) = 0.87557086463999877949769801508928
absolute error = 1.0e-31
relative error = 1.1421120098727379622259619621891e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.379
Order of pole = 0.1376
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.3MB, time=24.63
x[1] = 0.421
y[1] (analytic) = 0.87574275378152615963605748212015
y[1] (numeric) = 0.87574275378152615963605748212004
absolute error = 1.1e-31
relative error = 1.2560766221017683503687224237008e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.38
Order of pole = 0.1376
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 0.87591432807029477954021652968941
y[1] (numeric) = 0.87591432807029477954021652968932
absolute error = 9e-32
relative error = 1.0274977485329732753142106398135e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.381
Order of pole = 0.1376
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.3MB, time=24.78
x[1] = 0.423
y[1] (analytic) = 0.87608558826047815276684229864485
y[1] (numeric) = 0.87608558826047815276684229864475
absolute error = 1.0e-31
relative error = 1.1414409886430862731939960510837e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.382
Order of pole = 0.1377
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 0.87625653510393204216138600381587
y[1] (numeric) = 0.87625653510393204216138600381576
absolute error = 1.1e-31
relative error = 1.2553401383414845925400290277198e-29 %
Correct digits = 30
h = 0.001
memory used=663.7MB, alloc=4.3MB, time=24.92
Complex estimate of poles used for equation 1
Radius of convergence = 1.383
Order of pole = 0.1377
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 0.87642716935020341208490661934301
y[1] (numeric) = 0.87642716935020341208490661934292
absolute error = 9e-32
relative error = 1.0268965083171415683591848277552e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.384
Order of pole = 0.1377
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.3MB, time=25.06
x[1] = 0.426
y[1] (analytic) = 0.87659749174653933808635991050777
y[1] (numeric) = 0.87659749174653933808635991050768
absolute error = 9e-32
relative error = 1.0266969829069820072817877562731e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.385
Order of pole = 0.1378
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 0.87676750303789587426412531971845
y[1] (numeric) = 0.87676750303789587426412531971836
absolute error = 9e-32
relative error = 1.0264978992510628723400494705536e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.387
Order of pole = 0.1378
TOP MAIN SOLVE Loop
memory used=671.4MB, alloc=4.3MB, time=25.21
x[1] = 0.428
y[1] (analytic) = 0.87693720396694687855889445589302
y[1] (numeric) = 0.87693720396694687855889445589292
absolute error = 1.0e-31
relative error = 1.1403325066793397772487624058874e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.388
Order of pole = 0.1379
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 0.87710659527409279621840909543798
y[1] (numeric) = 0.87710659527409279621840909543789
absolute error = 9e-32
relative error = 1.0261010518553370283281473716653e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.389
Order of pole = 0.1379
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.3MB, time=25.35
x[1] = 0.43
y[1] (analytic) = 0.87727567769746940167291356410033
y[1] (numeric) = 0.87727567769746940167291356410022
absolute error = 1.1e-31
relative error = 1.2538817933344523990882966495738e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.39
Order of pole = 0.1379
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 0.87744445197295649905857601806395
y[1] (numeric) = 0.87744445197295649905857601806386
absolute error = 9e-32
relative error = 1.0257059554896344366798824021750e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.391
Order of pole = 0.138
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.3MB, time=25.50
x[1] = 0.432
y[1] (analytic) = 0.87761291883418658162453536681591
y[1] (numeric) = 0.87761291883418658162453536681579
absolute error = 1.2e-31
relative error = 1.3673454141879196940428294938908e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.392
Order of pole = 0.138
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 0.87778107901255345025764526768609
y[1] (numeric) = 0.87778107901255345025764526768598
absolute error = 1.1e-31
relative error = 1.2531598439526953169083533338787e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.393
Order of pole = 0.138
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.3MB, time=25.64
x[1] = 0.434
y[1] (analytic) = 0.87794893323722079135741366185828
y[1] (numeric) = 0.87794893323722079135741366185817
absolute error = 1.1e-31
relative error = 1.2529202535095298828214852210951e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.394
Order of pole = 0.1381
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 0.87811648223513071429207560444218
y[1] (numeric) = 0.87811648223513071429207560444208
absolute error = 1.0e-31
relative error = 1.1388010818959128570111789815090e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.395
Order of pole = 0.1381
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.3MB, time=25.78
x[1] = 0.436
y[1] (analytic) = 0.87828372673101224866518855837402
y[1] (numeric) = 0.87828372673101224866518855837391
absolute error = 1.1e-31
relative error = 1.2524426520962874821238580629744e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.396
Order of pole = 0.1381
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 0.87845066744738980162060276603155
y[1] (numeric) = 0.87845066744738980162060276603144
absolute error = 1.1e-31
relative error = 1.2522046379637804013790857296503e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.398
Order of pole = 0.1382
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.3MB, time=25.92
x[1] = 0.438
y[1] (analytic) = 0.87861730510459157541213467714072
y[1] (numeric) = 0.87861730510459157541213467714062
absolute error = 1.0e-31
relative error = 1.1381519510146216553121338603424e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.399
Order of pole = 0.1382
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 0.87878364042075794546275859149704
y[1] (numeric) = 0.87878364042075794546275859149693
absolute error = 1.1e-31
relative error = 1.2517301749874685688260348491662e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.4
Order of pole = 0.1383
memory used=694.3MB, alloc=4.3MB, time=26.07
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 0.87894967411184979913663056595525
y[1] (numeric) = 0.87894967411184979913663056595513
absolute error = 1.2e-31
relative error = 1.3652658796563764191035345427958e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.401
Order of pole = 0.1383
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.3MB, time=26.21
x[1] = 0.441
y[1] (analytic) = 0.87911540689165683544576913381726
y[1] (numeric) = 0.87911540689165683544576913381716
absolute error = 1.0e-31
relative error = 1.1375070805956664536247617405730e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.402
Order of pole = 0.1383
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 0.87928083947180582591173938895261
y[1] (numeric) = 0.8792808394718058259117393889525
absolute error = 1.1e-31
relative error = 1.2510223703507320001119812617953e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.403
Order of pole = 0.1384
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.3MB, time=26.35
x[1] = 0.443
y[1] (analytic) = 0.87944597256176883680122039551191
y[1] (numeric) = 0.87944597256176883680122039551178
absolute error = 1.3e-31
relative error = 1.4782033695750344655830527644870e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.404
Order of pole = 0.1384
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 0.87961080686887141295288059673512
y[1] (numeric) = 0.87961080686887141295288059673499
absolute error = 1.3e-31
relative error = 1.4779263622596651380646338795002e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.405
Order of pole = 0.1384
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.3MB, time=26.49
x[1] = 0.445
y[1] (analytic) = 0.8797753430983007234115418138916
y[1] (numeric) = 0.87977534309830072341154181389148
absolute error = 1.2e-31
relative error = 1.3639845778968589817259202902660e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.406
Order of pole = 0.1385
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 0.87993958195311366908417945057799
y[1] (numeric) = 0.87993958195311366908417945057787
absolute error = 1.2e-31
relative error = 1.3637299930712064453249771532739e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.408
Order of pole = 0.1385
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.3MB, time=26.64
x[1] = 0.447
y[1] (analytic) = 0.88010352413424495263088455116758
y[1] (numeric) = 0.88010352413424495263088455116746
absolute error = 1.2e-31
relative error = 1.3634759628765675002004485703476e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.409
Order of pole = 0.1385
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 0.88026717034051511080250230883167
y[1] (numeric) = 0.88026717034051511080250230883153
absolute error = 1.4e-31
relative error = 1.5904262332746498258628414258656e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.41
Order of pole = 0.1386
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.3MB, time=26.78
x[1] = 0.449
y[1] (analytic) = 0.88043052126863850943526138286708
y[1] (numeric) = 0.88043052126863850943526138286694
absolute error = 1.4e-31
relative error = 1.5901311530893981096181133678475e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.411
Order of pole = 0.1386
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 0.88059357761323130131131887262762
y[1] (numeric) = 0.88059357761323130131131887262749
absolute error = 1.3e-31
relative error = 1.4762769489229431042239820652506e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.412
Order of pole = 0.1386
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.3MB, time=26.93
x[1] = 0.451
y[1] (analytic) = 0.88075634006681934709276691265748
y[1] (numeric) = 0.88075634006681934709276691265734
absolute error = 1.4e-31
relative error = 1.5895429147791178889027647586242e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.413
Order of pole = 0.1387
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 0.88091880931984609953527850806627
y[1] (numeric) = 0.88091880931984609953527850806615
absolute error = 1.2e-31
relative error = 1.3622140738787439623596707962751e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.414
Order of pole = 0.1387
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.3MB, time=27.07
x[1] = 0.453
y[1] (analytic) = 0.88108098606068045118621232907691
y[1] (numeric) = 0.88108098606068045118621232907678
absolute error = 1.3e-31
relative error = 1.4754602818207546750892892490781e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.415
Order of pole = 0.1387
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 0.88124287097562454577064863822103
y[1] (numeric) = 0.88124287097562454577064863822091
absolute error = 1.2e-31
relative error = 1.3617131434736932770060946961031e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.416
Order of pole = 0.1388
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.3MB, time=27.21
x[1] = 0.455
y[1] (analytic) = 0.88140446474892155346749124294664
y[1] (numeric) = 0.88140446474892155346749124294653
absolute error = 1.1e-31
relative error = 1.2480082005408810360991716392962e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.417
Order of pole = 0.1388
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.3MB, time=27.35
x[1] = 0.456
y[1] (analytic) = 0.88156576806276341027644326140015
y[1] (numeric) = 0.88156576806276341027644326140003
absolute error = 1.2e-31
relative error = 1.3612143795431103257432083177309e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.419
Order of pole = 0.1388
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 0.88172678159729852167534747168755
y[1] (numeric) = 0.88172678159729852167534747168744
absolute error = 1.1e-31
relative error = 1.2475519888454415011689184614823e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.42
Order of pole = 0.1389
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.3MB, time=27.50
x[1] = 0.458
y[1] (analytic) = 0.88188750603063943076607499769563
y[1] (numeric) = 0.88188750603063943076607499769551
absolute error = 1.2e-31
relative error = 1.3607177693231866492897725815876e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.421
Order of pole = 0.1389
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 0.88204794203887045110584898110187
y[1] (numeric) = 0.88204794203887045110584898110175
absolute error = 1.2e-31
relative error = 1.3604702678928963557072818466840e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.422
Order of pole = 0.139
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.3MB, time=27.64
x[1] = 0.46
y[1] (analytic) = 0.88220809029605526441960261390198
y[1] (numeric) = 0.88220809029605526441960261390185
absolute error = 1.3e-31
relative error = 1.4735752418272884939636432480045e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.423
Order of pole = 0.139
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 0.88236795147424448338769337384051
y[1] (numeric) = 0.88236795147424448338769337384038
absolute error = 1.3e-31
relative error = 1.4733082698980435664887221320159e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.424
Order of pole = 0.139
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.3MB, time=27.79
x[1] = 0.462
y[1] (analytic) = 0.88252752624348317970202743257581
y[1] (numeric) = 0.88252752624348317970202743257569
absolute error = 1.2e-31
relative error = 1.3597309594499020560338299541059e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.425
Order of pole = 0.1391
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 0.88268681527181837758238991008346
y[1] (numeric) = 0.88268681527181837758238991008333
absolute error = 1.3e-31
relative error = 1.4727760486596510495187703871860e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.426
Order of pole = 0.1391
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.3MB, time=27.93
x[1] = 0.464
y[1] (analytic) = 0.88284581922530651294352784634965
y[1] (numeric) = 0.88284581922530651294352784634952
absolute error = 1.3e-31
relative error = 1.4725107959855827637835704641217e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.427
Order of pole = 0.1391
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 0.88300453876802085840229337126631
y[1] (numeric) = 0.88300453876802085840229337126617
absolute error = 1.4e-31
relative error = 1.5854958140456421345180255693380e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.428
Order of pole = 0.1392
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.3MB, time=28.07
x[1] = 0.466
y[1] (analytic) = 0.88316297456205891431292449503902
y[1] (numeric) = 0.8831629745620589143129244950389
absolute error = 1.2e-31
relative error = 1.3587526136895102456252036700876e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.43
Order of pole = 0.1392
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 0.88332112726754976601732013436281
y[1] (numeric) = 0.88332112726754976601732013436269
absolute error = 1.2e-31
relative error = 1.3585093381747351146951624861125e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.431
Order of pole = 0.1392
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.3MB, time=28.22
x[1] = 0.468
y[1] (analytic) = 0.88347899754266140749595435488133
y[1] (numeric) = 0.8834789975426614074959543548812
absolute error = 1.3e-31
relative error = 1.4714554659656475181282281889797e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.432
Order of pole = 0.1393
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 0.88363658604360803160387226956017
y[1] (numeric) = 0.88363658604360803160387226956004
absolute error = 1.3e-31
relative error = 1.4711930453452774613648535049537e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.433
Order of pole = 0.1393
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.3MB, time=28.36
x[1] = 0.47
y[1] (analytic) = 0.88379389342465728707501650786122
y[1] (numeric) = 0.88379389342465728707501650786109
absolute error = 1.3e-31
relative error = 1.4709311861870472927105556512879e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.434
Order of pole = 0.1393
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.3MB, time=28.50
x[1] = 0.471
y[1] (analytic) = 0.88395092033813750247694858503817
y[1] (numeric) = 0.88395092033813750247694858503802
absolute error = 1.5e-31
relative error = 1.6969267925262246601756614397875e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.435
Order of pole = 0.1394
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 0.88410766743444487729685377825485
y[1] (numeric) = 0.8841076674344448772968537782547
absolute error = 1.5e-31
relative error = 1.6966259373734280180370175908010e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.436
Order of pole = 0.1394
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.3MB, time=28.65
x[1] = 0.473
y[1] (analytic) = 0.88426413536205064033855118105921
y[1] (numeric) = 0.88426413536205064033855118105908
absolute error = 1.3e-31
relative error = 1.4701489611672779505145611314680e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.437
Order of pole = 0.1394
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 0.88442032476750817560907238524933
y[1] (numeric) = 0.88442032476750817560907238524918
absolute error = 1.5e-31
relative error = 1.6960261518122757007529879430820e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.438
Order of pole = 0.1395
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.3MB, time=28.79
x[1] = 0.475
y[1] (analytic) = 0.88457623629546011587222265528217
y[1] (numeric) = 0.88457623629546011587222265528204
absolute error = 1.3e-31
relative error = 1.4696302553235025799096797824849e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.439
Order of pole = 0.1395
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 0.88473187058864540404539744174517
y[1] (numeric) = 0.88473187058864540404539744174502
absolute error = 1.5e-31
relative error = 1.6954289201789391380814805316505e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.441
Order of pole = 0.1395
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.3MB, time=28.94
x[1] = 0.477
y[1] (analytic) = 0.88488722828790632261479455437554
y[1] (numeric) = 0.8848872282879063226147945543754
absolute error = 1.4e-31
relative error = 1.5821225069648049288984237976101e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.442
Order of pole = 0.1395
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 0.88504231003219549124303820971331
y[1] (numeric) = 0.88504231003219549124303820971318
absolute error = 1.3e-31
relative error = 1.4688563306682021211716880085540e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.443
Order of pole = 0.1396
TOP MAIN SOLVE Loop
memory used=774.4MB, alloc=4.3MB, time=29.08
x[1] = 0.479
y[1] (analytic) = 0.8851971164585828327421154124236
y[1] (numeric) = 0.88519711645858283274211541242348
absolute error = 1.2e-31
relative error = 1.3556302632354387762539353905080e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.444
Order of pole = 0.1396
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 0.88535164820226250758341765202557
y[1] (numeric) = 0.88535164820226250758341765202544
absolute error = 1.3e-31
relative error = 1.4683431183978653856642424515411e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.445
Order of pole = 0.1396
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.3MB, time=29.23
x[1] = 0.481
y[1] (analytic) = 0.88550590589655981711558162828114
y[1] (numeric) = 0.885505905896559817115581628281
absolute error = 1.4e-31
relative error = 1.5810171232935183838027146607013e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.446
Order of pole = 0.1397
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 0.8856598901729380756597315895597
y[1] (numeric) = 0.88565989017293807565973158955956
absolute error = 1.4e-31
relative error = 1.5807422415015649840941409805669e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.447
Order of pole = 0.1397
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.3MB, time=29.37
x[1] = 0.483
y[1] (analytic) = 0.88581360166100545165064281048913
y[1] (numeric) = 0.88581360166100545165064281048901
absolute error = 1.2e-31
relative error = 1.3546868074162079105609512013578e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.448
Order of pole = 0.1397
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 0.88596704098852177799127068016584
y[1] (numeric) = 0.88596704098852177799127068016572
absolute error = 1.2e-31
relative error = 1.3544521912023888741373968479317e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.449
Order of pole = 0.1398
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.3MB, time=29.52
x[1] = 0.485
y[1] (analytic) = 0.88612020878140533178702275280319
y[1] (numeric) = 0.88612020878140533178702275280306
absolute error = 1.3e-31
relative error = 1.4670695771488646722221509560321e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.45
Order of pole = 0.1398
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 0.88627310566373958362509186226364
y[1] (numeric) = 0.88627310566373958362509186226351
absolute error = 1.3e-31
relative error = 1.4668164831950032357009490856352e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.452
Order of pole = 0.1398
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.3MB, time=29.66
x[1] = 0.487
y[1] (analytic) = 0.88642573225777991656311695438561
y[1] (numeric) = 0.88642573225777991656311695438549
absolute error = 1.2e-31
relative error = 1.3537513142172976756205618389855e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.453
Order of pole = 0.1399
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.3MB, time=29.80
x[1] = 0.488
y[1] (analytic) = 0.88657808918396031499039458094812
y[1] (numeric) = 0.886578089183960314990394580948
absolute error = 1.2e-31
relative error = 1.3535186743725247628097529391459e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.454
Order of pole = 0.1399
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 0.88673017706090002352382796169387
y[1] (numeric) = 0.88673017706090002352382796169374
absolute error = 1.3e-31
relative error = 1.4660604021720542922499063787415e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.455
Order of pole = 0.1399
TOP MAIN SOLVE Loop
memory used=797.3MB, alloc=4.3MB, time=29.95
x[1] = 0.49
y[1] (analytic) = 0.88688199650541017609977209184606
y[1] (numeric) = 0.88688199650541017609977209184594
absolute error = 1.2e-31
relative error = 1.3530548649407381841108522971313e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.456
Order of pole = 0.14
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 0.88703354813250039542191248839808
y[1] (numeric) = 0.88703354813250039542191248839794
absolute error = 1.4e-31
relative error = 1.5782943079745563130620371527002e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.457
Order of pole = 0.14
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.3MB, time=30.10
x[1] = 0.492
y[1] (analytic) = 0.88718483255538536292430176611851
y[1] (numeric) = 0.88718483255538536292430176611838
absolute error = 1.3e-31
relative error = 1.4653090903905227936056294036671e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.458
Order of pole = 0.14
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 0.88733585038549135940767225127956
y[1] (numeric) = 0.88733585038549135940767225127942
absolute error = 1.4e-31
relative error = 1.5777566063534888858625039744694e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.459
Order of pole = 0.14
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.3MB, time=30.24
x[1] = 0.494
y[1] (analytic) = 0.88748660223246277650614421574586
y[1] (numeric) = 0.88748660223246277650614421574573
absolute error = 1.3e-31
relative error = 1.4648108452903562862433969624764e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.46
Order of pole = 0.1401
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 0.88763708870416859914045798500226
y[1] (numeric) = 0.88763708870416859914045798500213
absolute error = 1.3e-31
relative error = 1.4645625070689937992356506191861e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.461
Order of pole = 0.1401
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.3MB, time=30.38
x[1] = 0.496
y[1] (analytic) = 0.88778731040670885911287408026385
y[1] (numeric) = 0.88778731040670885911287408026372
absolute error = 1.3e-31
relative error = 1.4643146897475367643524406208144e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.462
Order of pole = 0.1401
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 0.88793726794442105999790863688677
y[1] (numeric) = 0.88793726794442105999790863688664
absolute error = 1.3e-31
relative error = 1.4640673918434644571425808168627e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.464
Order of pole = 0.1402
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.3MB, time=30.53
x[1] = 0.498
y[1] (analytic) = 0.88808696191988657348210153932413
y[1] (numeric) = 0.88808696191988657348210153932399
absolute error = 1.4e-31
relative error = 1.5764221974089656592360908812567e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.465
Order of pole = 0.1402
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 0.88823639293393700730505196784754
y[1] (numeric) = 0.88823639293393700730505196784739
absolute error = 1.5e-31
relative error = 1.6887396327517546266786981204979e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.466
Order of pole = 0.1402
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.3MB, time=30.67
x[1] = 0.5
y[1] (analytic) = 0.88838556158566054495300030572803
y[1] (numeric) = 0.88838556158566054495300030572789
absolute error = 1.4e-31
relative error = 1.5758923383459426062610863536831e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.467
Order of pole = 0.1403
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 0.88853446847240825725528654963114
y[1] (numeric) = 0.88853446847240825725528654963101
absolute error = 1.3e-31
relative error = 1.4630833649424924023862592068787e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.468
Order of pole = 0.1403
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.3MB, time=30.81
x[1] = 0.502
y[1] (analytic) = 0.88868311418980038603307344325787
y[1] (numeric) = 0.88868311418980038603307344325773
absolute error = 1.4e-31
relative error = 1.5753646914697595721574225738507e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.469
Order of pole = 0.1403
TOP MAIN SOLVE Loop
memory used=824.0MB, alloc=4.3MB, time=30.96
x[1] = 0.503
y[1] (analytic) = 0.88883149933173259994878745791778
y[1] (numeric) = 0.88883149933173259994878745791764
absolute error = 1.4e-31
relative error = 1.5751016936872614366802341897000e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.47
Order of pole = 0.1403
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 0.88897962449038222270380241743923
y[1] (numeric) = 0.88897962449038222270380241743909
absolute error = 1.4e-31
relative error = 1.5748392442656557795253036006109e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.471
Order of pole = 0.1404
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.3MB, time=31.10
x[1] = 0.505
y[1] (analytic) = 0.88912749025621443373096895281386
y[1] (numeric) = 0.88912749025621443373096895281371
absolute error = 1.5e-31
relative error = 1.6870471517731997796300118715114e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.472
Order of pole = 0.1404
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 0.88927509721798844152767801896363
y[1] (numeric) = 0.88927509721798844152767801896348
absolute error = 1.5e-31
relative error = 1.6867671260475027818897580588687e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.473
Order of pole = 0.1404
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.3MB, time=31.24
x[1] = 0.507
y[1] (analytic) = 0.88942244596276362977423835724405
y[1] (numeric) = 0.88942244596276362977423835724392
absolute error = 1.3e-31
relative error = 1.4616226585026228609957586378423e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.474
Order of pole = 0.1405
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 0.88956953707590567638144598849802
y[1] (numeric) = 0.88956953707590567638144598849788
absolute error = 1.4e-31
relative error = 1.5737948992744566450738327247554e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.476
Order of pole = 0.1405
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.3MB, time=31.38
x[1] = 0.509
y[1] (analytic) = 0.88971637114109264561032851889268
y[1] (numeric) = 0.88971637114109264561032851889253
absolute error = 1.5e-31
relative error = 1.6859305377018038483641758073615e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.477
Order of pole = 0.1405
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 0.88986294874032105340615818114468
y[1] (numeric) = 0.88986294874032105340615818114454
absolute error = 1.4e-31
relative error = 1.5732759769151222952948413596619e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.478
Order of pole = 0.1406
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.3MB, time=31.53
x[1] = 0.511
y[1] (analytic) = 0.89000927045391190608794506429194
y[1] (numeric) = 0.8900092704539119060879450642918
absolute error = 1.4e-31
relative error = 1.5730173229386573789681509704201e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.479
Order of pole = 0.1406
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 0.89015533686051671253374585361676
y[1] (numeric) = 0.89015533686051671253374585361662
absolute error = 1.4e-31
relative error = 1.5727592050817234209512034718171e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.48
Order of pole = 0.1406
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.3MB, time=31.67
x[1] = 0.513
y[1] (analytic) = 0.89030114853712347000125355685792
y[1] (numeric) = 0.89030114853712347000125355685778
absolute error = 1.4e-31
relative error = 1.5725016218392795695856916440726e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.481
Order of pole = 0.1406
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 0.89044670605906262372227008213451
y[1] (numeric) = 0.89044670605906262372227008213437
absolute error = 1.4e-31
relative error = 1.5722445717117842990387851503184e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.482
Order of pole = 0.1407
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.3MB, time=31.82
x[1] = 0.515
y[1] (analytic) = 0.89059201000001300040880610618173
y[1] (numeric) = 0.89059201000001300040880610618159
absolute error = 1.4e-31
relative error = 1.5719880532051703040909495895781e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.483
Order of pole = 0.1407
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 0.89073706093200771580770137817149
y[1] (numeric) = 0.89073706093200771580770137817135
absolute error = 1.4e-31
relative error = 1.5717320648308195332024311084603e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.484
Order of pole = 0.1407
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.3MB, time=31.96
x[1] = 0.517
y[1] (analytic) = 0.89088185942544005643981339462349
y[1] (numeric) = 0.89088185942544005643981339462335
absolute error = 1.4e-31
relative error = 1.5714766051055383589644442567880e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.485
Order of pole = 0.1407
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.3MB, time=32.11
x[1] = 0.518
y[1] (analytic) = 0.89102640604906933565898320522682
y[1] (numeric) = 0.89102640604906933565898320522667
absolute error = 1.5e-31
relative error = 1.6834517920194995196940082534276e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.486
Order of pole = 0.1408
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 0.89117070137002672416515391876067
y[1] (numeric) = 0.89117070137002672416515391876053
absolute error = 1.4e-31
relative error = 1.5709672656963843887678236246290e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.488
Order of pole = 0.1408
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.3MB, time=32.25
x[1] = 0.52
y[1] (analytic) = 0.89131474595382105510519022414581
y[1] (numeric) = 0.89131474595382105510519022414566
absolute error = 1.5e-31
relative error = 1.6829071961496695339920634680028e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.489
Order of pole = 0.1408
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 0.89145854036434460389412587583734
y[1] (numeric) = 0.8914585403643446038941258758372
absolute error = 1.4e-31
relative error = 1.5704600232197129043246968909749e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.49
Order of pole = 0.1409
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.3MB, time=32.39
x[1] = 0.522
y[1] (analytic) = 0.89160208516387884288875056758699
y[1] (numeric) = 0.89160208516387884288875056758686
absolute error = 1.3e-31
relative error = 1.4580495286314371173474677263369e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.491
Order of pole = 0.1409
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 0.89174538091310017104463788679052
y[1] (numeric) = 0.89174538091310017104463788679039
absolute error = 1.3e-31
relative error = 1.4578152327168419551046880948174e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.492
Order of pole = 0.1409
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.3MB, time=32.54
x[1] = 0.524
y[1] (analytic) = 0.89188842817108561868691205636013
y[1] (numeric) = 0.89188842817108561868691205636
absolute error = 1.3e-31
relative error = 1.4575814181890347177848822870968e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.493
Order of pole = 0.1409
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 0.89203122749531852752425288590883
y[1] (numeric) = 0.89203122749531852752425288590869
absolute error = 1.4e-31
relative error = 1.5694517824571868425106065780766e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.494
Order of pole = 0.141
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.3MB, time=32.68
x[1] = 0.526
y[1] (analytic) = 0.89217377944169420603484572301388
y[1] (numeric) = 0.89217377944169420603484572301375
absolute error = 1.3e-31
relative error = 1.4571152279475371650554071356462e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.495
Order of pole = 0.141
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 0.89231608456452556035219617286612
y[1] (numeric) = 0.89231608456452556035219617286598
absolute error = 1.4e-31
relative error = 1.5689507610783884429423980963266e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.496
Order of pole = 0.141
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.3MB, time=32.83
x[1] = 0.528
y[1] (analytic) = 0.89245814341654870077794789554731
y[1] (numeric) = 0.89245814341654870077794789554719
absolute error = 1.2e-31
relative error = 1.3446008743963113267322429613001e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.497
Order of pole = 0.141
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 0.89259995654892852404806584975777
y[1] (numeric) = 0.89259995654892852404806584975765
absolute error = 1.2e-31
relative error = 1.3443872489525727600231077910937e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.498
Order of pole = 0.1411
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.3MB, time=32.97
x[1] = 0.53
y[1] (analytic) = 0.89274152451126427147797688568788
y[1] (numeric) = 0.89274152451126427147797688568776
absolute error = 1.2e-31
relative error = 1.3441740605232246687866616248851e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.5
Order of pole = 0.1411
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 0.89288284785159506311149455394451
y[1] (numeric) = 0.89288284785159506311149455394439
absolute error = 1.2e-31
relative error = 1.3439613078998808285759287540143e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.501
Order of pole = 0.1411
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.3MB, time=33.12
x[1] = 0.532
y[1] (analytic) = 0.89302392711640540799759534844864
y[1] (numeric) = 0.89302392711640540799759534844851
absolute error = 1.3e-31
relative error = 1.4557280723683738205173604916117e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.502
Order of pole = 0.1411
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 0.89316476285063069071835929585547
y[1] (numeric) = 0.89316476285063069071835929585535
memory used=885.0MB, alloc=4.3MB, time=33.26
absolute error = 1.2e-31
relative error = 1.3435371052593609869121602961918e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.503
Order of pole = 0.1412
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 0.89330535559766263429063879953789
y[1] (numeric) = 0.89330535559766263429063879953776
absolute error = 1.3e-31
relative error = 1.4552694572509753090830558489654e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.504
Order of pole = 0.1412
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.3MB, time=33.40
x[1] = 0.535
y[1] (analytic) = 0.89344570589935473956327590012871
y[1] (numeric) = 0.89344570589935473956327590012858
absolute error = 1.3e-31
relative error = 1.4550408507379887338879856610042e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.505
Order of pole = 0.1412
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 0.89358581429602770123094958503016
y[1] (numeric) = 0.89358581429602770123094958503003
absolute error = 1.3e-31
relative error = 1.4548127098729156165573957916724e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.506
Order of pole = 0.1413
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.3MB, time=33.55
x[1] = 0.537
y[1] (analytic) = 0.89372568132647480058500142453501
y[1] (numeric) = 0.89372568132647480058500142453488
absolute error = 1.3e-31
relative error = 1.4545850333745916397081830668723e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.507
Order of pole = 0.1413
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 0.8938653075279672751208595910071
y[1] (numeric) = 0.89386530752796727512085959100697
absolute error = 1.3e-31
relative error = 1.4543578199664333373010174430418e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.508
Order of pole = 0.1413
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.3MB, time=33.69
x[1] = 0.539
y[1] (analytic) = 0.89400469343625966512095818904675
y[1] (numeric) = 0.89400469343625966512095818904661
absolute error = 1.4e-31
relative error = 1.5659873044053728507624736009246e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.509
Order of pole = 0.1413
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 0.8941438395855951373313307481963
y[1] (numeric) = 0.89414383958559513733133074819616
absolute error = 1.4e-31
relative error = 1.5657436063629893867738344476171e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.51
Order of pole = 0.1414
TOP MAIN SOLVE Loop
memory used=900.3MB, alloc=4.3MB, time=33.84
x[1] = 0.541
y[1] (analytic) = 0.89428274650871078584934366535907
y[1] (numeric) = 0.89428274650871078584934366535894
absolute error = 1.3e-31
relative error = 1.4536789455854019587878808086785e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.512
Order of pole = 0.1414
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 0.89442141473684291033932729190766
y[1] (numeric) = 0.89442141473684291033932729190753
absolute error = 1.3e-31
relative error = 1.4534535718629753648378041253614e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.513
Order of pole = 0.1414
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.3MB, time=33.98
x[1] = 0.543
y[1] (analytic) = 0.89455984479973227169215920099536
y[1] (numeric) = 0.89455984479973227169215920099522
absolute error = 1.4e-31
relative error = 1.5650154745247056040724478140742e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.514
Order of pole = 0.1414
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 0.89469803722562932524415590475917
y[1] (numeric) = 0.89469803722562932524415590475904
absolute error = 1.3e-31
relative error = 1.4530041934943461200920705050410e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.515
Order of pole = 0.1414
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.3MB, time=34.12
x[1] = 0.545
y[1] (analytic) = 0.89483599254129943166993588016447
y[1] (numeric) = 0.89483599254129943166993588016433
absolute error = 1.4e-31
relative error = 1.5645325083807306695642739570903e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.516
Order of pole = 0.1415
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 0.8949737112720280456632281677831
y[1] (numeric) = 0.89497371127202804566322816778298
absolute error = 1.2e-31
relative error = 1.3408215066948027325358921182862e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.517
Order of pole = 0.1415
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.3MB, time=34.27
x[1] = 0.547
y[1] (analytic) = 0.89511119394162588251891699175541
y[1] (numeric) = 0.89511119394162588251891699175528
absolute error = 1.3e-31
relative error = 1.4523335299555852589408498920799e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.518
Order of pole = 0.1415
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 0.8952484410724340627289337738319
y[1] (numeric) = 0.89524844107243406272893377383177
absolute error = 1.3e-31
relative error = 1.4521108782303008886858248912153e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.519
Order of pole = 0.1415
memory used=915.5MB, alloc=4.3MB, time=34.41
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 0.89538545318532923470393354233341
y[1] (numeric) = 0.89538545318532923470393354233328
absolute error = 1.3e-31
relative error = 1.4518886758493300905007401502311e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.52
Order of pole = 0.1416
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.3MB, time=34.55
x[1] = 0.55
y[1] (analytic) = 0.89552223079972867573202303104263
y[1] (numeric) = 0.89552223079972867573202303104248
absolute error = 1.5e-31
relative error = 1.6750002941417258094366775952519e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.521
Order of pole = 0.1416
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 0.89565877443359537128514268671484
y[1] (numeric) = 0.8956587744335953712851426867147
absolute error = 1.4e-31
relative error = 1.5630952768651704438878120313793e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.522
Order of pole = 0.1416
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.3MB, time=34.70
x[1] = 0.552
y[1] (analytic) = 0.89579508460344307278304432065969
y[1] (numeric) = 0.89579508460344307278304432065955
absolute error = 1.4e-31
relative error = 1.5628574258361352121816776655273e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.523
Order of pole = 0.1416
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 0.89593116182434133392415021361015
y[1] (numeric) = 0.89593116182434133392415021361
absolute error = 1.5e-31
relative error = 1.6742357715805112517476021709362e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.525
Order of pole = 0.1417
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.3MB, time=34.84
x[1] = 0.554
y[1] (analytic) = 0.89606700660992052569192807809159
y[1] (numeric) = 0.89606700660992052569192807809145
absolute error = 1.4e-31
relative error = 1.5623831584834298012815924568364e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.526
Order of pole = 0.1417
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 0.89620261947237683014476936327592
y[1] (numeric) = 0.89620261947237683014476936327579
absolute error = 1.3e-31
relative error = 1.4505648295977438823743609512045e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.527
Order of pole = 0.1417
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.3MB, time=34.99
x[1] = 0.556
y[1] (analytic) = 0.89633800092247721309671591871061
y[1] (numeric) = 0.89633800092247721309671591871047
absolute error = 1.4e-31
relative error = 1.5619107954356201369582393891674e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.528
Order of pole = 0.1417
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 0.89647315146956437579574198051755
y[1] (numeric) = 0.89647315146956437579574198051741
absolute error = 1.4e-31
relative error = 1.5616753248047836972112833865821e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.529
Order of pole = 0.1418
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.3MB, time=35.13
x[1] = 0.558
y[1] (analytic) = 0.89660807162156168570566477213216
y[1] (numeric) = 0.89660807162156168570566477213201
absolute error = 1.5e-31
relative error = 1.6729717782789676018373932846727e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.53
Order of pole = 0.1418
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 0.89674276188497808649712768717498
y[1] (numeric) = 0.89674276188497808649712768717483
absolute error = 1.5e-31
relative error = 1.6727204988495903940545650173387e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.531
Order of pole = 0.1418
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.3MB, time=35.27
x[1] = 0.56
y[1] (analytic) = 0.89687722276491298735247501069154
y[1] (numeric) = 0.8968772227649129873524750106914
absolute error = 1.4e-31
relative error = 1.5609717411309085986785852552474e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.532
Order of pole = 0.1418
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 0.89701145476506113168871640313269
y[1] (numeric) = 0.89701145476506113168871640313255
absolute error = 1.4e-31
relative error = 1.5607381517404123396619688547625e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.533
Order of pole = 0.1418
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.3MB, time=35.41
x[1] = 0.562
y[1] (analytic) = 0.89714545838771744540216288574435
y[1] (numeric) = 0.89714545838771744540216288574421
absolute error = 1.4e-31
relative error = 1.5605050294920681373255177179431e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.534
Order of pole = 0.1419
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 0.89727923413378186473770379344989
y[1] (numeric) = 0.89727923413378186473770379344974
absolute error = 1.5e-31
relative error = 1.6717203997795341016411333312167e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.535
Order of pole = 0.1419
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.3MB, time=35.56
x[1] = 0.564
y[1] (analytic) = 0.89741278250276414388508606908658
y[1] (numeric) = 0.89741278250276414388508606908644
absolute error = 1.4e-31
relative error = 1.5600401813929899360132125205750e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.536
Order of pole = 0.1419
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.3MB, time=35.70
x[1] = 0.565
y[1] (analytic) = 0.89754610399278864240395332853233
y[1] (numeric) = 0.89754610399278864240395332853219
absolute error = 1.4e-31
relative error = 1.5598084530388071703291569409122e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.538
Order of pole = 0.1419
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 0.89767919910059909257880229764429
y[1] (numeric) = 0.89767919910059909257880229764413
absolute error = 1.6e-31
relative error = 1.7823739277941036486329427416365e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.539
Order of pole = 0.142
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.3MB, time=35.84
x[1] = 0.567
y[1] (analytic) = 0.89781206832156334680441847712396
y[1] (numeric) = 0.89781206832156334680441847712382
absolute error = 1.4e-31
relative error = 1.5593463814952544820761157825191e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.54
Order of pole = 0.142
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 0.8979447121496781051017611987956
y[1] (numeric) = 0.89794471214967810510176119879546
absolute error = 1.4e-31
relative error = 1.5591160358285338018933791980912e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.541
Order of pole = 0.142
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.3MB, time=35.99
x[1] = 0.569
y[1] (analytic) = 0.89807713107757362286368056498361
y[1] (numeric) = 0.89807713107757362286368056498348
absolute error = 1.3e-31
relative error = 1.4475371379740759705166431765020e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.542
Order of pole = 0.142
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 0.89820932559651839892926508062313
y[1] (numeric) = 0.898209325596518398929265080623
absolute error = 1.3e-31
relative error = 1.4473240957909722743604592765423e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.543
Order of pole = 0.142
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.3MB, time=36.14
x[1] = 0.571
y[1] (analytic) = 0.89834129619642384408503906462117
y[1] (numeric) = 0.89834129619642384408503906462102
absolute error = 1.5e-31
relative error = 1.6697440119373321813063949994690e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.544
Order of pole = 0.1421
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 0.8984730433658489300906531322645
y[1] (numeric) = 0.89847304336584893009065313226435
absolute error = 1.5e-31
relative error = 1.6694991698145088532568564870163e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.545
Order of pole = 0.1421
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.3MB, time=36.28
x[1] = 0.573
y[1] (analytic) = 0.89860456759200481932613914386382
y[1] (numeric) = 0.89860456759200481932613914386367
absolute error = 1.5e-31
relative error = 1.6692548136268186868112891907455e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.546
Order of pole = 0.1421
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 0.89873586936075947515723298631415
y[1] (numeric) = 0.89873586936075947515723298631401
absolute error = 1.4e-31
relative error = 1.5577435459383331410551723334171e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.547
Order of pole = 0.1421
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.3MB, time=36.42
x[1] = 0.575
y[1] (analytic) = 0.89886694915664225311470436408386
y[1] (numeric) = 0.89886694915664225311470436408372
absolute error = 1.4e-31
relative error = 1.5575163836133295456252690105410e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.548
Order of pole = 0.1421
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 0.89899780746284847298307239481506
y[1] (numeric) = 0.89899780746284847298307239481492
absolute error = 1.4e-31
relative error = 1.5572896712074080217298464617580e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.549
Order of pole = 0.1422
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.3MB, time=36.57
x[1] = 0.577
y[1] (analytic) = 0.89912844476124397189352920298362
y[1] (numeric) = 0.89912844476124397189352920298349
absolute error = 1.3e-31
relative error = 1.4458445926991044224076974866453e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.551
Order of pole = 0.1422
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 0.89925886153236963851534085393029
y[1] (numeric) = 0.89925886153236963851534085393015
absolute error = 1.4e-31
relative error = 1.5568375913631246767986191414354e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.552
Order of pole = 0.1422
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.3MB, time=36.71
x[1] = 0.579
y[1] (analytic) = 0.8993890582554459284394458412931
y[1] (numeric) = 0.89938905825544592843944584129295
absolute error = 1.5e-31
relative error = 1.6677988087931214133557307408458e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.553
Order of pole = 0.1422
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 0.8995190354083773608474259049472
y[1] (numeric) = 0.89951903540837736084742590494706
absolute error = 1.4e-31
relative error = 1.5563872968673827599977793075456e-29 %
Correct digits = 30
h = 0.001
memory used=980.4MB, alloc=4.3MB, time=36.86
Complex estimate of poles used for equation 1
Radius of convergence = 1.554
Order of pole = 0.1422
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 0.89964879346775699655848218573814
y[1] (numeric) = 0.899648793467756996558482185738
absolute error = 1.4e-31
relative error = 1.5561628161625221620853429797740e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.555
Order of pole = 0.1423
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.3MB, time=37.00
x[1] = 0.582
y[1] (analytic) = 0.89977833290887089754651158956966
y[1] (numeric) = 0.89977833290887089754651158956952
absolute error = 1.4e-31
relative error = 1.5559387782477212688497714425971e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.556
Order of pole = 0.1423
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 0.89990765420570256801884370900705
y[1] (numeric) = 0.89990765420570256801884370900691
absolute error = 1.4e-31
relative error = 1.5557151819490862914331543849855e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.557
Order of pole = 0.1423
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.3MB, time=37.15
x[1] = 0.584
y[1] (analytic) = 0.90003675783093737714766770794936
y[1] (numeric) = 0.90003675783093737714766770794921
absolute error = 1.5e-31
relative error = 1.6665985993893813061963767114601e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.558
Order of pole = 0.1423
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 0.90016564425596696354465118681351
y[1] (numeric) = 0.90016564425596696354465118681336
absolute error = 1.5e-31
relative error = 1.6663599744909470208098831667079e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.559
Order of pole = 0.1423
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.3MB, time=37.29
x[1] = 0.586
y[1] (analytic) = 0.9002943139508936215687291849965
y[1] (numeric) = 0.90029431395089362156872918499636
absolute error = 1.4e-31
relative error = 1.5550470310716221273238289292545e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.56
Order of pole = 0.1423
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 0.90042276738453466955652111730785
y[1] (numeric) = 0.9004227673845346695565211173077
absolute error = 1.5e-31
relative error = 1.6658841316918964532361768781197e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.561
Order of pole = 0.1424
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.3MB, time=37.44
x[1] = 0.588
y[1] (analytic) = 0.90055100502442680006431655498972
y[1] (numeric) = 0.90055100502442680006431655498958
absolute error = 1.4e-31
relative error = 1.5546037838934242310812871118146e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.562
Order of pole = 0.1424
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 0.90067902733683041221005732349288
y[1] (numeric) = 0.90067902733683041221005732349274
absolute error = 1.4e-31
relative error = 1.5543828128646284070857784279912e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.563
Order of pole = 0.1424
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.3MB, time=37.58
x[1] = 0.59
y[1] (analytic) = 0.90080683478673392620323337219873
y[1] (numeric) = 0.90080683478673392620323337219859
absolute error = 1.4e-31
relative error = 1.5541622753466897112367468475624e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.565
Order of pole = 0.1424
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 0.90093442783785808015010324984688
y[1] (numeric) = 0.90093442783785808015010324984673
absolute error = 1.5e-31
relative error = 1.6649380394973165018788893723352e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.566
Order of pole = 0.1424
TOP MAIN SOLVE Loop
memory used=1003.3MB, alloc=4.3MB, time=37.72
x[1] = 0.592
y[1] (analytic) = 0.90106180695266020922114676783212
y[1] (numeric) = 0.90106180695266020922114676783197
absolute error = 1.5e-31
relative error = 1.6647026745844601937765027716188e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.567
Order of pole = 0.1425
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 0.90118897259233850726715752628788
y[1] (numeric) = 0.90118897259233850726715752628774
absolute error = 1.4e-31
relative error = 1.5535032524563562928345818071505e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.568
Order of pole = 0.1425
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.3MB, time=37.87
x[1] = 0.594
y[1] (analytic) = 0.90131592521683627096988638970035
y[1] (numeric) = 0.9013159252168362709698863897002
absolute error = 1.5e-31
relative error = 1.6642333259995754003419398103205e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.569
Order of pole = 0.1425
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 0.90144266528484612661265370464027
y[1] (numeric) = 0.90144266528484612661265370464013
absolute error = 1.4e-31
relative error = 1.5530660505819470516387425121081e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.57
Order of pole = 0.1425
memory used=1010.9MB, alloc=4.3MB, time=38.01
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 0.90156919325381423955585802721207
y[1] (numeric) = 0.90156919325381423955585802721193
absolute error = 1.4e-31
relative error = 1.5528480902805926320284825976849e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.571
Order of pole = 0.1425
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.3MB, time=38.16
x[1] = 0.597
y[1] (analytic) = 0.90169550957994450650182234736426
y[1] (numeric) = 0.90169550957994450650182234736412
absolute error = 1.4e-31
relative error = 1.5526305555765615315563258144320e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.572
Order of pole = 0.1425
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 0.90182161471820273063293523685615
y[1] (numeric) = 0.901821614718202730632935236856
absolute error = 1.5e-31
relative error = 1.6633001200228644242025117981796e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.573
Order of pole = 0.1426
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.3MB, time=38.30
x[1] = 0.599
y[1] (analytic) = 0.90194750912232077970656398320909
y[1] (numeric) = 0.90194750912232077970656398320895
absolute error = 1.4e-31
relative error = 1.5521967585035306996361435997464e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.574
Order of pole = 0.1426
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 0.90207319324480072718973957937136
y[1] (numeric) = 0.90207319324480072718973957937124
absolute error = 1.2e-31
relative error = 1.3302689947847160809253064849469e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.575
Order of pole = 0.1426
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.3MB, time=38.44
x[1] = 0.601
y[1] (analytic) = 0.90219866753691897651613939427787
y[1] (numeric) = 0.90219866753691897651613939427774
absolute error = 1.3e-31
relative error = 1.4409243183090852314197335221701e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.576
Order of pole = 0.1426
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 0.90232393244873036854742242937646
y[1] (numeric) = 0.90232393244873036854742242937634
absolute error = 1.2e-31
relative error = 1.3298993375288574083167538976128e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.577
Order of pole = 0.1426
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.3MB, time=38.59
x[1] = 0.603
y[1] (analytic) = 0.90244898842907227232050424710665
y[1] (numeric) = 0.90244898842907227232050424710653
absolute error = 1.2e-31
relative error = 1.3297150480371042787406297213138e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.579
Order of pole = 0.1426
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 0.90257383592556865916189391603391
y[1] (numeric) = 0.90257383592556865916189391603378
absolute error = 1.3e-31
relative error = 1.4403253764462161398306274037701e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.58
Order of pole = 0.1427
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.3MB, time=38.73
x[1] = 0.605
y[1] (analytic) = 0.90269847538463416024975363084343
y[1] (numeric) = 0.90269847538463416024975363084332
absolute error = 1.1e-31
relative error = 1.2185685807559350282874985890549e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.581
Order of pole = 0.1427
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 0.90282290725147810770388301084833
y[1] (numeric) = 0.9028229072514781077038830108482
absolute error = 1.3e-31
relative error = 1.4399280186162684800470832250222e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.582
Order of pole = 0.1427
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.3MB, time=38.88
x[1] = 0.607
y[1] (analytic) = 0.90294713197010855928337443543138
y[1] (numeric) = 0.90294713197010855928337443543127
absolute error = 1.1e-31
relative error = 1.2182330072857629273873355212346e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.583
Order of pole = 0.1427
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 0.90307114998333630677123311646961
y[1] (numeric) = 0.90307114998333630677123311646949
absolute error = 1.2e-31
relative error = 1.3287989545697951907129988703618e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.584
Order of pole = 0.1427
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.3MB, time=39.02
x[1] = 0.609
y[1] (analytic) = 0.90319496173277886812480591402157
y[1] (numeric) = 0.90319496173277886812480591402145
absolute error = 1.2e-31
relative error = 1.3286168001843155599595244182132e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.585
Order of pole = 0.1427
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 0.90331856765886446347041615031993
y[1] (numeric) = 0.90331856765886446347041615031981
absolute error = 1.2e-31
relative error = 1.3284349984192690545141481273664e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.586
Order of pole = 0.1427
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.3MB, time=39.17
x[1] = 0.611
y[1] (analytic) = 0.90344196820083597502015784650989
y[1] (numeric) = 0.90344196820083597502015784650977
absolute error = 1.2e-31
relative error = 1.3282535483598863580147052026754e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.587
Order of pole = 0.1428
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.3MB, time=39.31
x[1] = 0.612
y[1] (analytic) = 0.90356516379675489098836187490467
y[1] (numeric) = 0.90356516379675489098836187490455
absolute error = 1.2e-31
relative error = 1.3280724490944675570643826671816e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.588
Order of pole = 0.1428
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 0.90368815488350523358480846526338
y[1] (numeric) = 0.90368815488350523358480846526327
absolute error = 1.1e-31
relative error = 1.2172340580715052055403511257615e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.589
Order of pole = 0.1428
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.3MB, time=39.46
x[1] = 0.614
y[1] (analytic) = 0.90381094189679747116132530538751
y[1] (numeric) = 0.90381094189679747116132530538739
absolute error = 1.2e-31
relative error = 1.3277112993139921110369634362280e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.59
Order of pole = 0.1428
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 0.90393352527117241458797811301086
y[1] (numeric) = 0.90393352527117241458797811301074
absolute error = 1.2e-31
relative error = 1.3275312469907675415761618228170e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.591
Order of pole = 0.1428
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.3MB, time=39.60
x[1] = 0.616
y[1] (analytic) = 0.90405590544000509793463100653049
y[1] (numeric) = 0.90405590544000509793463100653037
absolute error = 1.2e-31
relative error = 1.3273515418451456880166533561778e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.592
Order of pole = 0.1428
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 0.90417808283550864353322724577319
y[1] (numeric) = 0.90417808283550864353322724577308
absolute error = 1.1e-31
relative error = 1.2165745010655340004775994588968e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.594
Order of pole = 0.1428
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.3MB, time=39.74
x[1] = 0.618
y[1] (analytic) = 0.90430005788873811149571693006869
y[1] (numeric) = 0.90430005788873811149571693006858
absolute error = 1.1e-31
relative error = 1.2164104053782335585105566733751e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.595
Order of pole = 0.1429
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 0.90442183102959433376213700893033
y[1] (numeric) = 0.90442183102959433376213700893023
absolute error = 1.0e-31
relative error = 1.1056787504361758092346282850394e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.596
Order of pole = 0.1429
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.3MB, time=39.89
x[1] = 0.62
y[1] (analytic) = 0.90454340268682773275293046032288
y[1] (numeric) = 0.90454340268682773275293046032277
absolute error = 1.1e-31
relative error = 1.2160831605565791966231232305602e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.597
Order of pole = 0.1429
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 0.90466477328804212469917570268624
y[1] (numeric) = 0.90466477328804212469917570268613
absolute error = 1.1e-31
relative error = 1.2159200097976665848506931742718e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.598
Order of pole = 0.1429
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.3MB, time=40.03
x[1] = 0.622
y[1] (analytic) = 0.90478594325969850772398420961498
y[1] (numeric) = 0.90478594325969850772398420961486
absolute error = 1.2e-31
relative error = 1.3262805517034507242551969700640e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.599
Order of pole = 0.1429
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 0.90490691302711883474791387055814
y[1] (numeric) = 0.90490691302711883474791387055803
absolute error = 1.1e-31
relative error = 1.2155946475425306974451697046576e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.6
Order of pole = 0.1429
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.3MB, time=40.18
x[1] = 0.624
y[1] (analytic) = 0.90502768301448977129083786746299
y[1] (numeric) = 0.90502768301448977129083786746287
absolute error = 1.2e-31
relative error = 1.3259262921140807040692017036466e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.601
Order of pole = 0.1429
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 0.9051482536448664382423036964565
y[1] (numeric) = 0.90514825364486643824230369645638
absolute error = 1.2e-31
relative error = 1.3257496715790142847327985470394e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.602
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.3MB, time=40.32
x[1] = 0.626
y[1] (analytic) = 0.90526862534017613967201443612385
y[1] (numeric) = 0.90526862534017613967201443612374
absolute error = 1.1e-31
relative error = 1.2151089402735557430997782058160e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.603
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.3MB, time=40.46
x[1] = 0.627
y[1] (analytic) = 0.9053887985212220757516644305397
y[1] (numeric) = 0.90538879852122207575166443053958
absolute error = 1.2e-31
relative error = 1.3253974446778759379890689585450e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.604
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 0.90550877360768704085896419693525
y[1] (numeric) = 0.90550877360768704085896419693513
absolute error = 1.2e-31
relative error = 1.3252218365803506838545062446868e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.605
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.3MB, time=40.61
x[1] = 0.629
y[1] (analytic) = 0.90562855101813710693429456589517
y[1] (numeric) = 0.90562855101813710693429456589505
absolute error = 1.2e-31
relative error = 1.3250465642353268616986703892484e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.606
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 0.90574813117002529216003779757934
y[1] (numeric) = 0.90574813117002529216003779757923
absolute error = 1.1e-31
relative error = 1.2144656578855365274826928019511e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.607
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1083.4MB, alloc=4.3MB, time=40.75
x[1] = 0.631
y[1] (analytic) = 0.90586751447969521503224367211958
y[1] (numeric) = 0.90586751447969521503224367211945
absolute error = 1.3e-31
relative error = 1.4350884419855627378546747779530e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.609
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 0.90598670136238473389390130766158
y[1] (numeric) = 0.90598670136238473389390130766146
absolute error = 1.2e-31
relative error = 1.3245227531436062156564003800091e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.61
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.3MB, time=40.89
x[1] = 0.633
y[1] (analytic) = 0.90610569223222957199870269727362
y[1] (numeric) = 0.9061056922322295719987026972735
absolute error = 1.2e-31
relative error = 1.3243488152510657017892963648421e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.611
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 0.9062244875022669281738016580364
y[1] (numeric) = 0.90622448750226692817380165803628
absolute error = 1.2e-31
relative error = 1.3241752088463601464002775489532e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.612
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.3MB, time=41.04
x[1] = 0.635
y[1] (analytic) = 0.90634308758443907314969203412721
y[1] (numeric) = 0.90634308758443907314969203412708
absolute error = 1.3e-31
relative error = 1.4343354275087203618303056407062e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.613
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 0.90646149288959693162495157282049
y[1] (numeric) = 0.90646149288959693162495157282038
absolute error = 1.1e-31
relative error = 1.2135099048647345210510556098336e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.614
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.3MB, time=41.18
x[1] = 0.637
y[1] (analytic) = 0.90657970382750365013322288040115
y[1] (numeric) = 0.90657970382750365013322288040103
absolute error = 1.2e-31
relative error = 1.3236563701279660374185719252423e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.615
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 0.90669772080683815077943024652071
y[1] (numeric) = 0.90669772080683815077943024652059
absolute error = 1.2e-31
relative error = 1.3234840812571609326341518484691e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.616
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.3MB, time=41.33
x[1] = 0.639
y[1] (analytic) = 0.90681554423519867091186088316191
y[1] (numeric) = 0.90681554423519867091186088316179
absolute error = 1.2e-31
relative error = 1.3233121196792792826783261756769e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.617
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 0.90693317451910628879637124089087
y[1] (numeric) = 0.90693317451910628879637124089075
absolute error = 1.2e-31
relative error = 1.3231404845635842332766685840996e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.618
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.3MB, time=41.48
x[1] = 0.641
y[1] (analytic) = 0.90705061206400843535861352339189
y[1] (numeric) = 0.90705061206400843535861352339175
absolute error = 1.4e-31
relative error = 1.5434640375957381327704881838508e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.619
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 0.90716785727428239205981430445428
y[1] (numeric) = 0.90716785727428239205981430445416
absolute error = 1.2e-31
relative error = 1.3227981904094070521307217355996e-29 %
Correct digits = 30
h = 0.001
memory used=1106.3MB, alloc=4.3MB, time=41.62
Complex estimate of poles used for equation 1
Radius of convergence = 1.62
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 0.90728491055323877497127624281236
y[1] (numeric) = 0.90728491055323877497127624281222
absolute error = 1.4e-31
relative error = 1.5430654513435215846345451195477e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.621
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.3MB, time=41.76
x[1] = 0.644
y[1] (analytic) = 0.90740177230312500511241527285883
y[1] (numeric) = 0.9074017723031250051124152728587
absolute error = 1.3e-31
relative error = 1.4326619582198968161043341025910e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.622
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 0.90751844292512876511678930673033
y[1] (numeric) = 0.9075184429251287651167893067302
absolute error = 1.3e-31
relative error = 1.4324777751180659806886632986290e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.623
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.3MB, time=41.91
x[1] = 0.646
y[1] (analytic) = 0.90763492281938144229022039919814
y[1] (numeric) = 0.90763492281938144229022039919802
absolute error = 1.2e-31
relative error = 1.3221174833956878860354435982581e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.625
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 0.90775121238496155812476048492681
y[1] (numeric) = 0.90775121238496155812476048492667
absolute error = 1.4e-31
relative error = 1.5422727955622760011990113902361e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.626
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1117.7MB, alloc=4.3MB, time=42.05
x[1] = 0.648
y[1] (analytic) = 0.90786731201989818433190118184959
y[1] (numeric) = 0.90786731201989818433190118184947
absolute error = 1.2e-31
relative error = 1.3217790574815838249589768654622e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.627
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 0.90798322212117434545808074865233
y[1] (numeric) = 0.90798322212117434545808074865221
absolute error = 1.2e-31
relative error = 1.3216103235879558290875413951928e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.628
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.3MB, time=42.20
x[1] = 0.65
y[1] (analytic) = 0.90809894308473040814519607277722
y[1] (numeric) = 0.90809894308473040814519607277709
absolute error = 1.3e-31
relative error = 1.4315620669968153038343304343442e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.629
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 0.90821447530546745709848453221266
y[1] (numeric) = 0.90821447530546745709848453221253
absolute error = 1.3e-31
relative error = 1.4313799607331296974243030313134e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.63
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.3MB, time=42.34
x[1] = 0.652
y[1] (analytic) = 0.90832981917725065782379970400056
y[1] (numeric) = 0.90832981917725065782379970400043
absolute error = 1.3e-31
relative error = 1.4311981975638731926355123057139e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.631
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 0.90844497509291260619596616937563
y[1] (numeric) = 0.9084449750929126061959661693755
absolute error = 1.3e-31
relative error = 1.4310167766264990367451602776621e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.632
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.3MB, time=42.48
x[1] = 0.654
y[1] (analytic) = 0.90855994344425666491956207438224
y[1] (numeric) = 0.90855994344425666491956207438212
absolute error = 1.2e-31
relative error = 1.3207714126719303286357514506211e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.633
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 0.90867472462206028694314363044541
y[1] (numeric) = 0.90867472462206028694314363044527
absolute error = 1.4e-31
relative error = 1.5407053393966622477330829634528e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.634
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1133.0MB, alloc=4.3MB, time=42.63
x[1] = 0.656
y[1] (analytic) = 0.90878931901607832588759336658009
y[1] (numeric) = 0.90878931901607832588759336657995
absolute error = 1.4e-31
relative error = 1.5405110631314881915921032235890e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.635
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 0.90890372701504633354894365870423
y[1] (numeric) = 0.90890372701504633354894365870409
absolute error = 1.4e-31
relative error = 1.5403171517381442912311757077349e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.636
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.3MB, time=42.77
x[1] = 0.658
y[1] (analytic) = 0.90901794900668384453569884699102
y[1] (numeric) = 0.90901794900668384453569884699088
absolute error = 1.4e-31
relative error = 1.5401236043026759345794620236064e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.637
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.3MB, time=42.92
x[1] = 0.659
y[1] (analytic) = 0.90913198537769764810035309459377
y[1] (numeric) = 0.90913198537769764810035309459363
absolute error = 1.4e-31
relative error = 1.5399304199140809045017401925316e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.638
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 0.9092458365137850472244770257535
y[1] (numeric) = 0.90924583651378504722447702575336
absolute error = 1.4e-31
relative error = 1.5397375976642975197202289879324e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.639
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.3MB, time=43.06
x[1] = 0.661
y[1] (analytic) = 0.90935950279963710501642409372847
y[1] (numeric) = 0.90935950279963710501642409372832
absolute error = 1.5e-31
relative error = 1.6495126464087780354415918720350e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.641
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 0.90947298461894187848038755475168
y[1] (numeric) = 0.90947298461894187848038755475155
absolute error = 1.3e-31
relative error = 1.4293992476804401091942887723993e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.642
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.3MB, time=43.21
x[1] = 0.663
y[1] (analytic) = 0.90958628235438763971522084903
y[1] (numeric) = 0.90958628235438763971522084902987
absolute error = 1.3e-31
relative error = 1.4292212022316995228278494127903e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.643
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 0.90969939638766608460111809946156
y[1] (numeric) = 0.90969939638766608460111809946143
absolute error = 1.3e-31
relative error = 1.4290434897089986697317695916796e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.644
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.3MB, time=43.35
x[1] = 0.665
y[1] (analytic) = 0.90981232709947552903193731919721
y[1] (numeric) = 0.90981232709947552903193731919708
absolute error = 1.3e-31
relative error = 1.4288661092826265782869578086000e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.645
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 0.90992507486952409275063675644477
y[1] (numeric) = 0.90992507486952409275063675644464
absolute error = 1.3e-31
relative error = 1.4286890601255378101291687315070e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.646
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.3MB, time=43.50
x[1] = 0.667
y[1] (analytic) = 0.91003764007653287084498458516614
y[1] (numeric) = 0.910037640076532870844984585166
absolute error = 1.4e-31
relative error = 1.5383979061374450311103485793883e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.647
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 0.9101500230982390929603938598064
y[1] (numeric) = 0.91015002309823909296039385980626
absolute error = 1.4e-31
relative error = 1.5382079486569302062627922254460e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.648
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.3MB, time=43.65
x[1] = 0.669
y[1] (analytic) = 0.91026222431139927028642827729217
y[1] (numeric) = 0.91026222431139927028642827729202
absolute error = 1.5e-31
relative error = 1.6478767985068579177059519959235e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.649
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 0.91037424409179233037321981672175
y[1] (numeric) = 0.91037424409179233037321981672162
absolute error = 1.3e-31
relative error = 1.4279841597418061469687793902274e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.65
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.3MB, time=43.79
x[1] = 0.671
y[1] (analytic) = 0.91048608281422273983373674302822
y[1] (numeric) = 0.91048608281422273983373674302809
absolute error = 1.3e-31
relative error = 1.4278087546180037531384619942657e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.651
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 0.91059774085252361498753975211847
y[1] (numeric) = 0.91059774085252361498753975211834
absolute error = 1.3e-31
relative error = 1.4276336758565956662497158300664e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.652
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.3MB, time=43.93
x[1] = 0.673
y[1] (analytic) = 0.91070921857955982050136518837588
y[1] (numeric) = 0.91070921857955982050136518837575
absolute error = 1.3e-31
relative error = 1.4274589226488999510890329096198e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.653
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.3MB, time=44.08
x[1] = 0.674
y[1] (analytic) = 0.91082051636723105608157726785947
y[1] (numeric) = 0.91082051636723105608157726785933
absolute error = 1.4e-31
relative error = 1.5370756091264177241954790936666e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.654
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 0.91093163458647493127323607904542
y[1] (numeric) = 0.91093163458647493127323607904528
absolute error = 1.4e-31
relative error = 1.5368881119553409319478500734691e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.655
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.3MB, time=44.22
x[1] = 0.676
y[1] (analytic) = 0.91104257360727002842023479464291
y[1] (numeric) = 0.91104257360727002842023479464278
absolute error = 1.3e-31
relative error = 1.4269366082999330540877217702631e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.656
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 0.91115333379863895384066800008389
y[1] (numeric) = 0.91115333379863895384066800008376
absolute error = 1.3e-31
relative error = 1.4267631492717498198376155071534e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.658
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.3MB, time=44.37
x[1] = 0.678
y[1] (analytic) = 0.91126391552865137727130331404542
y[1] (numeric) = 0.91126391552865137727130331404528
absolute error = 1.4e-31
relative error = 1.5363277050071912951890427144453e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.659
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 0.91137431916442705963474053122171
y[1] (numeric) = 0.91137431916442705963474053122157
absolute error = 1.4e-31
relative error = 1.5361415946891704706928859035686e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.66
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1182.5MB, alloc=4.3MB, time=44.51
x[1] = 0.68
y[1] (analytic) = 0.91148454507213886918255634502923
y[1] (numeric) = 0.91148454507213886918255634502908
absolute error = 1.5e-31
relative error = 1.6456669595876509858806779946380e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.661
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 0.91159459361701578606744829560715
y[1] (numeric) = 0.91159459361701578606744829560701
absolute error = 1.4e-31
relative error = 1.5357704069361515126331662283410e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.662
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.3MB, time=44.65
x[1] = 0.682
y[1] (analytic) = 0.91170446516334589539710892407175
y[1] (numeric) = 0.91170446516334589539710892407161
absolute error = 1.4e-31
relative error = 1.5355853278059447034416738748235e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.663
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 0.91181416007447936882228018529394
y[1] (numeric) = 0.9118141600744793688222801852938
absolute error = 1.4e-31
relative error = 1.5354005907142792486511114619584e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.664
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.3MB, time=44.80
x[1] = 0.684
y[1] (analytic) = 0.91192367871283143471115896639166
y[1] (numeric) = 0.91192367871283143471115896639151
absolute error = 1.5e-31
relative error = 1.6448744944502710392406556287402e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.665
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 0.91203302143988533696204706465008
y[1] (numeric) = 0.91203302143988533696204706464994
absolute error = 1.4e-31
relative error = 1.5350321392856255696500386169472e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.666
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.3MB, time=44.95
x[1] = 0.686
y[1] (analytic) = 0.91214218861619528250586318478864
y[1] (numeric) = 0.9121421886161952825058631847885
absolute error = 1.4e-31
relative error = 1.5348484232748081620543363240660e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.667
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 0.91225118060138937754986040955853
y[1] (numeric) = 0.91225118060138937754986040955839
absolute error = 1.4e-31
relative error = 1.5346650459548528545237761391412e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.668
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.3MB, time=45.09
x[1] = 0.688
y[1] (analytic) = 0.912359997754172552613620167849
y[1] (numeric) = 0.91235999775417255261362016784886
absolute error = 1.4e-31
relative error = 1.5344820064954423776886203607441e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.669
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 0.91246864043232947640812295916308
y[1] (numeric) = 0.91246864043232947640812295916294
absolute error = 1.4e-31
relative error = 1.5342993040688797646991503962286e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.67
Order of pole = 0.1434
memory used=1201.6MB, alloc=4.3MB, time=45.24
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 0.91257710899272745860842698094616
y[1] (numeric) = 0.91257710899272745860842698094602
absolute error = 1.4e-31
relative error = 1.5341169378500780791884052678114e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.671
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.3MB, time=45.38
x[1] = 0.691
y[1] (analytic) = 0.91268540379131934157021833435347
y[1] (numeric) = 0.91268540379131934157021833435333
absolute error = 1.4e-31
relative error = 1.5339349070165501916853702748837e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.672
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 0.91279352518314638104023064325541
y[1] (numeric) = 0.91279352518314638104023064325528
absolute error = 1.3e-31
relative error = 1.4241994099806558467671110432895e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.673
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1209.3MB, alloc=4.3MB, time=45.52
x[1] = 0.693
y[1] (analytic) = 0.91290147352234111591026769932094
y[1] (numeric) = 0.91290147352234111591026769932081
absolute error = 1.3e-31
relative error = 1.4240310019262835140183945103530e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.675
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 0.91300924916213022706430013169397
y[1] (numeric) = 0.91300924916213022706430013169383
absolute error = 1.4e-31
relative error = 1.5333908186415217776127227501868e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.676
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1213.1MB, alloc=4.3MB, time=45.67
x[1] = 0.695
y[1] (analytic) = 0.91311685245483738536784608197927
y[1] (numeric) = 0.91311685245483738536784608197914
absolute error = 1.3e-31
relative error = 1.4236951125204403055527240486195e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.677
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 0.9132242837518860888485864329609
y[1] (numeric) = 0.91322428375188608884858643296077
absolute error = 1.3e-31
relative error = 1.4235276296629854050484101197735e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.678
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.3MB, time=45.81
x[1] = 0.697
y[1] (analytic) = 0.91333154340380248911690728175072
y[1] (numeric) = 0.91333154340380248911690728175059
absolute error = 1.3e-31
relative error = 1.4233604537024552385183286149588e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.679
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 0.91343863176021820707480605405779
y[1] (numeric) = 0.91343863176021820707480605405766
absolute error = 1.3e-31
relative error = 1.4231935838917484160284517689732e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.68
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.3MB, time=45.96
x[1] = 0.699
y[1] (analytic) = 0.91354554916987313796134291521096
y[1] (numeric) = 0.91354554916987313796134291521083
absolute error = 1.3e-31
relative error = 1.4230270194861032975117900351227e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.681
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 0.91365229598061824578256593477462
y[1] (numeric) = 0.91365229598061824578256593477448
absolute error = 1.4e-31
relative error = 1.5323115874156341928262565821025e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.682
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.3MB, time=46.10
x[1] = 0.701
y[1] (analytic) = 0.91375887253941834717358679446761
y[1] (numeric) = 0.91375887253941834717358679446748
absolute error = 1.3e-31
relative error = 1.4226948039225958074589542514152e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.683
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 0.91386527919235488474023368310888
y[1] (numeric) = 0.91386527919235488474023368310875
absolute error = 1.3e-31
relative error = 1.4225291512868272228828160850036e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.684
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.3MB, time=46.25
x[1] = 0.703
y[1] (analytic) = 0.91397151628462868992745938702942
y[1] (numeric) = 0.91397151628462868992745938702928
absolute error = 1.4e-31
relative error = 1.5317764011849276161347413412724e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.685
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 0.91407758416056273546143544945171
y[1] (numeric) = 0.91407758416056273546143544945157
absolute error = 1.4e-31
relative error = 1.5315986566782304225662790062124e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.686
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.3MB, time=46.39
x[1] = 0.705
y[1] (analytic) = 0.91418348316360487741201762746385
y[1] (numeric) = 0.91418348316360487741201762746371
absolute error = 1.4e-31
relative error = 1.5314212363093547779263996319392e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.687
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1236.0MB, alloc=4.3MB, time=46.53
x[1] = 0.706
y[1] (analytic) = 0.91428921363633058692202371020659
y[1] (numeric) = 0.91428921363633058692202371020644
absolute error = 1.5e-31
relative error = 1.6406187206717313928975529641896e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.688
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 0.91439477592044567164952206662578
y[1] (numeric) = 0.91439477592044567164952206662564
absolute error = 1.4e-31
relative error = 1.5310673648487718786681696815836e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.689
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.3MB, time=46.68
x[1] = 0.708
y[1] (analytic) = 0.91450017035678898696908805557505
y[1] (numeric) = 0.9145001703567889869690880555749
absolute error = 1.5e-31
relative error = 1.6402402630660859671078472184386e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.69
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 0.91460539728533513697774564521659
y[1] (numeric) = 0.91460539728533513697774564521645
absolute error = 1.4e-31
relative error = 1.5307147805549558641151248337565e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.691
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.3MB, time=46.82
x[1] = 0.71
y[1] (analytic) = 0.91471045704519716535107324267231
y[1] (numeric) = 0.91471045704519716535107324267216
absolute error = 1.5e-31
relative error = 1.6398631812360300070829278419952e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.692
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 0.91481534997462923609471581890429
y[1] (numeric) = 0.91481534997462923609471581890415
absolute error = 1.4e-31
relative error = 1.5303634772184643496305340804469e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.694
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.3MB, time=46.96
x[1] = 0.712
y[1] (analytic) = 0.91492007641102930423630991811684
y[1] (numeric) = 0.91492007641102930423630991811669
absolute error = 1.5e-31
relative error = 1.6394874685492447391634839322178e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.695
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 0.91502463669094177650259405590143
y[1] (numeric) = 0.91502463669094177650259405590129
absolute error = 1.4e-31
relative error = 1.5300134486683370454128829621216e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.696
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.3MB, time=47.11
x[1] = 0.714
y[1] (analytic) = 0.91512903115006016202624432630316
y[1] (numeric) = 0.91512903115006016202624432630302
absolute error = 1.4e-31
relative error = 1.5298389105201844757269950730517e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.697
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 0.91523326012322971312674374544922
y[1] (numeric) = 0.91523326012322971312674374544908
absolute error = 1.4e-31
relative error = 1.5296646887717999444453552074978e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.698
Order of pole = 0.1434
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.3MB, time=47.25
x[1] = 0.716
y[1] (analytic) = 0.91533732394445005620936394890389
y[1] (numeric) = 0.91533732394445005620936394890376
absolute error = 1.3e-31
relative error = 1.4202414410437548509920835775167e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.699
Order of pole = 0.1434
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 0.91544122294687781282610932212309
y[1] (numeric) = 0.91544122294687781282610932212295
absolute error = 1.4e-31
relative error = 1.5293171914339722432311793269168e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.7
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.3MB, time=47.40
x[1] = 0.718
y[1] (analytic) = 0.91554495746282921094224646897242
y[1] (numeric) = 0.91554495746282921094224646897229
absolute error = 1.3e-31
relative error = 1.4199193490209130692541431778515e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.701
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 0.91564852782378268645181610301385
y[1] (numeric) = 0.91564852782378268645181610301372
absolute error = 1.3e-31
relative error = 1.4197587398406062539110711715589e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.702
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1262.7MB, alloc=4.3MB, time=47.54
x[1] = 0.72
y[1] (analytic) = 0.91575193436038147498529997099316
y[1] (numeric) = 0.91575193436038147498529997099304
absolute error = 1.2e-31
relative error = 1.3103985424154797804289673828637e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.703
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.3MB, time=47.69
x[1] = 0.721
y[1] (analytic) = 0.91585517740243619405239227858272
y[1] (numeric) = 0.91585517740243619405239227858259
absolute error = 1.3e-31
relative error = 1.4194383916538876713375399401131e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.704
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 0.91595825727892741556260327592519
y[1] (numeric) = 0.91595825727892741556260327592505
absolute error = 1.4e-31
relative error = 1.5284539321246298835493529913512e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.705
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.3MB, time=47.83
x[1] = 0.723
y[1] (analytic) = 0.91606117431800822876620216592993
y[1] (numeric) = 0.9160611743180082287662021659298
absolute error = 1.3e-31
relative error = 1.4191191990729523234817274166437e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.706
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 0.91616392884700679365778731270561
y[1] (numeric) = 0.91616392884700679365778731270547
absolute error = 1.4e-31
relative error = 1.5281108062854006686174470691138e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.707
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.3MB, time=47.98
x[1] = 0.725
y[1] (analytic) = 0.91626652119242888488455384214962
y[1] (numeric) = 0.91626652119242888488455384214948
absolute error = 1.4e-31
relative error = 1.5279397070822150730915306669428e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.708
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 0.91636895167996042620111213280401
y[1] (numeric) = 0.91636895167996042620111213280386
absolute error = 1.5e-31
relative error = 1.6368952671847739158923748924311e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.709
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.3MB, time=48.12
x[1] = 0.727
y[1] (analytic) = 0.91647122063447001551249538393868
y[1] (numeric) = 0.91647122063447001551249538393854
absolute error = 1.4e-31
relative error = 1.5275984324208070591514122110026e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.71
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 0.91657332838001144054678041081575
y[1] (numeric) = 0.9165733283800114405467804108156
absolute error = 1.5e-31
relative error = 1.6365302737437934405791526242109e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.711
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.3MB, time=48.26
x[1] = 0.729
y[1] (analytic) = 0.91667527523982618519853304566377
y[1] (numeric) = 0.91667527523982618519853304566363
absolute error = 1.4e-31
relative error = 1.5272583845285054163002861222158e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.712
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 0.91677706153634592658407800855717
y[1] (numeric) = 0.91677706153634592658407800855702
absolute error = 1.5e-31
relative error = 1.6361665915662005349853681158934e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.714
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1285.5MB, alloc=4.3MB, time=48.41
x[1] = 0.731
y[1] (analytic) = 0.91687868759119502284938284672152
y[1] (numeric) = 0.91687868759119502284938284672137
absolute error = 1.5e-31
relative error = 1.6359852402511060533665717880262e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.715
Order of pole = 0.1433
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 0.91698015372519299177113651540815
y[1] (numeric) = 0.91698015372519299177113651540801
absolute error = 1.4e-31
relative error = 1.5267506001221066391052755789479e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.716
Order of pole = 0.1433
TOP MAIN SOLVE Loop
memory used=1289.4MB, alloc=4.3MB, time=48.55
x[1] = 0.733
y[1] (analytic) = 0.91708146025835698019139538009417
y[1] (numeric) = 0.91708146025835698019139538009402
absolute error = 1.5e-31
relative error = 1.6356235132890215100157054221774e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.717
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 0.91718260750990422432596285012945
y[1] (numeric) = 0.91718260750990422432596285012931
absolute error = 1.4e-31
relative error = 1.5264135936909183674788403924754e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.718
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.3MB, time=48.70
x[1] = 0.735
y[1] (analytic) = 0.91728359579825450098646349988998
y[1] (numeric) = 0.91728359579825450098646349988983
absolute error = 1.5e-31
relative error = 1.6352630820729371971797677368811e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.719
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 0.91738442544103256975586838688856
y[1] (numeric) = 0.91738442544103256975586838688841
absolute error = 1.5e-31
relative error = 1.6350833504491587462762651542821e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.72
Order of pole = 0.1432
memory used=1297.0MB, alloc=4.3MB, time=48.84
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 0.9174850967550706061570253290857
y[1] (numeric) = 0.91748509675507060615702532908555
absolute error = 1.5e-31
relative error = 1.6349039404619735541370236920418e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.721
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1300.8MB, alloc=4.3MB, time=48.99
x[1] = 0.738
y[1] (analytic) = 0.91758561005641062585354614783461
y[1] (numeric) = 0.91758561005641062585354614783447
absolute error = 1.4e-31
relative error = 1.5257431945929621449721973718301e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.722
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 0.91768596566030689992220231055219
y[1] (numeric) = 0.91768596566030689992220231055204
absolute error = 1.5e-31
relative error = 1.6345460823525811943541997104213e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.723
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.3MB, time=49.13
x[1] = 0.74
y[1] (analytic) = 0.91778616388122836123578101045159
y[1] (numeric) = 0.91778616388122836123578101045144
absolute error = 1.5e-31
relative error = 1.6343676327137532682183795065550e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.724
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 0.9178862050328610019951554916857
y[1] (numeric) = 0.91788620503286100199515549168555
absolute error = 1.5e-31
relative error = 1.6341895016782596656683477996033e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.725
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.3MB, time=49.28
x[1] = 0.742
y[1] (analytic) = 0.91798608942811026244912635927134
y[1] (numeric) = 0.91798608942811026244912635927119
absolute error = 1.5e-31
relative error = 1.6340116884935310029453990302940e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.726
Order of pole = 0.1432
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 0.9180858173791034108403946964915
y[1] (numeric) = 0.91808581737910341084039469649135
absolute error = 1.5e-31
relative error = 1.6338341924092787558115394759269e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.727
Order of pole = 0.1432
TOP MAIN SOLVE Loop
memory used=1312.3MB, alloc=4.3MB, time=49.42
x[1] = 0.744
y[1] (analytic) = 0.91818538919719191461583304045977
y[1] (numeric) = 0.91818538919719191461583304045962
absolute error = 1.5e-31
relative error = 1.6336570126774866876525130266113e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.728
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 0.91828480519295380293902663159051
y[1] (numeric) = 0.91828480519295380293902663159036
absolute error = 1.5e-31
relative error = 1.6334801485524023163068758555466e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.729
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1316.1MB, alloc=4.3MB, time=49.56
x[1] = 0.746
y[1] (analytic) = 0.91838406567619602054286484731725
y[1] (numeric) = 0.91838406567619602054286484731709
absolute error = 1.6e-31
relative error = 1.7421905059098969807105344320681e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.73
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 0.91848317095595677295977134706502
y[1] (numeric) = 0.91848317095595677295977134706486
absolute error = 1.6e-31
relative error = 1.7420025217606555499649491203532e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.731
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.3MB, time=49.71
x[1] = 0.748
y[1] (analytic) = 0.91858212134050786316697118678862
y[1] (numeric) = 0.91858212134050786316697118678846
absolute error = 1.6e-31
relative error = 1.7418148718865586759460303391911e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.732
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 0.91868091713735701968400399997262
y[1] (numeric) = 0.91868091713735701968400399997246
absolute error = 1.6e-31
relative error = 1.7416275555017055280541420725135e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.733
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.3MB, time=49.85
x[1] = 0.75
y[1] (analytic) = 0.91877955865325021615950428053994
y[1] (numeric) = 0.91877955865325021615950428053976
absolute error = 1.8e-31
relative error = 1.9591206433003856799799152398744e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.735
Order of pole = 0.1431
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 0.91887804619417398248408283437594
y[1] (numeric) = 0.91887804619417398248408283437578
absolute error = 1.6e-31
relative error = 1.7412539200679670954118997260755e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.736
Order of pole = 0.1431
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.3MB, time=50.00
x[1] = 0.752
y[1] (analytic) = 0.91897638006535770746595758294248
y[1] (numeric) = 0.91897638006535770746595758294231
absolute error = 1.7e-31
relative error = 1.8498843244252869714435440899984e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.737
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.3MB, time=50.14
x[1] = 0.753
y[1] (analytic) = 0.9190745605712759331057970975789
y[1] (numeric) = 0.91907456057127593310579709757873
absolute error = 1.7e-31
relative error = 1.8496867097956867600688210991710e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.738
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 0.91917258801565064050705650947089
y[1] (numeric) = 0.91917258801565064050705650947073
absolute error = 1.6e-31
relative error = 1.7406959485749557551826857163904e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.739
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.3MB, time=50.28
x[1] = 0.755
y[1] (analytic) = 0.91927046270145352745790277086434
y[1] (numeric) = 0.91927046270145352745790277086417
absolute error = 1.7e-31
relative error = 1.8492925303008454886250020585981e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.74
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 0.91936818493090827772064463092024
y[1] (numeric) = 0.91936818493090827772064463092008
absolute error = 1.6e-31
relative error = 1.7403256129863163515149259413384e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.741
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1339.0MB, alloc=4.3MB, time=50.43
x[1] = 0.757
y[1] (analytic) = 0.91946575500549282206440212770579
y[1] (numeric) = 0.91946575500549282206440212770563
absolute error = 1.6e-31
relative error = 1.7401409365055055426928794941526e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.742
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 0.91956317322594159107657087930443
y[1] (numeric) = 0.91956317322594159107657087930426
absolute error = 1.7e-31
relative error = 1.8487038732055670366200224424865e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.743
Order of pole = 0.143
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.3MB, time=50.57
x[1] = 0.759
y[1] (analytic) = 0.91966043989224775978845797506678
y[1] (numeric) = 0.91966043989224775978845797506662
absolute error = 1.6e-31
relative error = 1.7397725623464508172727368183555e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.744
Order of pole = 0.143
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 0.91975755530366548415028881582313
y[1] (numeric) = 0.91975755530366548415028881582296
absolute error = 1.7e-31
relative error = 1.8483131670918768231848789269979e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.745
Order of pole = 0.1429
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.3MB, time=50.72
x[1] = 0.761
y[1] (analytic) = 0.91985451975871212939060782269808
y[1] (numeric) = 0.91985451975871212939060782269791
absolute error = 1.7e-31
relative error = 1.8481183311964684771767814807710e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.746
Order of pole = 0.1429
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 0.91995133355517049029492052131962
y[1] (numeric) = 0.91995133355517049029492052131945
absolute error = 1.7e-31
relative error = 1.8479238390038695843408815942304e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.747
Order of pole = 0.1429
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.3MB, time=50.86
x[1] = 0.763
y[1] (analytic) = 0.92004799699009100343825010505509
y[1] (numeric) = 0.92004799699009100343825010505492
absolute error = 1.7e-31
relative error = 1.8477296897134695323318159126704e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.748
Order of pole = 0.1429
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 0.92014451035979395140610818084533
y[1] (numeric) = 0.92014451035979395140610818084517
absolute error = 1.6e-31
relative error = 1.7388573012019271414978038717045e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.749
Order of pole = 0.1429
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.3MB, time=51.00
x[1] = 0.765
y[1] (analytic) = 0.92024087395987165903820699769967
y[1] (numeric) = 0.9202408739598716590382069976995
absolute error = 1.7e-31
relative error = 1.8473424166487640564946958374554e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.75
Order of pole = 0.1429
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 0.92033708808519068172906904446245
y[1] (numeric) = 0.9203370880851906817290690444623
absolute error = 1.5e-31
relative error = 1.6298376099574866018004537772399e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.751
Order of pole = 0.1429
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.3MB, time=51.15
x[1] = 0.767
y[1] (analytic) = 0.92043315302989398581951947361887
y[1] (numeric) = 0.92043315302989398581951947361872
absolute error = 1.5e-31
relative error = 1.6296675049809757805579250238880e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.752
Order of pole = 0.1428
TOP MAIN SOLVE Loop
x[1] = 0.768
memory used=1361.8MB, alloc=4.3MB, time=51.29
y[1] (analytic) = 0.92052906908740312111287735526925
y[1] (numeric) = 0.9205290690874031211128773552691
absolute error = 1.5e-31
relative error = 1.6294976990645982688195824264690e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.753
Order of pole = 0.1428
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 0.92062483655042038554949328361553
y[1] (numeric) = 0.92062483655042038554949328361538
absolute error = 1.5e-31
relative error = 1.6293281915144689281877546278077e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.754
Order of pole = 0.1428
TOP MAIN SOLVE Loop
memory used=1365.7MB, alloc=4.3MB, time=51.43
x[1] = 0.77
y[1] (analytic) = 0.92072045571093098207311334105877
y[1] (numeric) = 0.92072045571093098207311334105863
absolute error = 1.4e-31
relative error = 1.5205483828628473827939790545020e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.755
Order of pole = 0.1428
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 0.92081592686020516772238286604207
y[1] (numeric) = 0.92081592686020516772238286604191
absolute error = 1.6e-31
relative error = 1.7375894066642333605856393643001e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.756
Order of pole = 0.1428
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.3MB, time=51.58
x[1] = 0.772
y[1] (analytic) = 0.92091125028880039498063786387037
y[1] (numeric) = 0.92091125028880039498063786387022
absolute error = 1.5e-31
relative error = 1.6288214521536095050039853861776e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.757
Order of pole = 0.1428
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 0.92100642628656344541696723872691
y[1] (numeric) = 0.92100642628656344541696723872676
absolute error = 1.5e-31
relative error = 1.6286531311707563996329556162263e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.759
Order of pole = 0.1427
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.3MB, time=51.72
x[1] = 0.774
y[1] (analytic) = 0.92110145514263255565136530385529
y[1] (numeric) = 0.92110145514263255565136530385514
absolute error = 1.5e-31
relative error = 1.6284851051155108723796255634238e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.76
Order of pole = 0.1427
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 0.92119633714543953567663123930819
y[1] (numeric) = 0.92119633714543953567663123930804
absolute error = 1.5e-31
relative error = 1.6283173733062491294862229914904e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.761
Order of pole = 0.1427
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.3MB, time=51.87
x[1] = 0.776
y[1] (analytic) = 0.92129107258271187956951030673497
y[1] (numeric) = 0.92129107258271187956951030673482
absolute error = 1.5e-31
relative error = 1.6281499350633647420369776232639e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.762
Order of pole = 0.1427
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 0.92138566174147486862341069239997
y[1] (numeric) = 0.92138566174147486862341069239982
absolute error = 1.5e-31
relative error = 1.6279827897092612502455167662402e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.763
Order of pole = 0.1427
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.3MB, time=52.01
x[1] = 0.778
y[1] (analytic) = 0.92148010490805366693486982703758
y[1] (numeric) = 0.92148010490805366693486982703743
absolute error = 1.5e-31
relative error = 1.6278159365683448003171374402798e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.764
Order of pole = 0.1426
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 0.92157440236807540947578491835154
y[1] (numeric) = 0.92157440236807540947578491835139
absolute error = 1.5e-31
relative error = 1.6276493749670168137178900285984e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.765
Order of pole = 0.1426
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.3MB, time=52.16
x[1] = 0.78
y[1] (analytic) = 0.92166855440647128268326422308883
y[1] (numeric) = 0.92166855440647128268326422308867
absolute error = 1.6e-31
relative error = 1.7359819778492444679289639960941e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.766
Order of pole = 0.1426
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 0.92176256130747859759879827483947
y[1] (numeric) = 0.92176256130747859759879827483931
absolute error = 1.6e-31
relative error = 1.7358049319452421693881310267543e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.767
Order of pole = 0.1426
TOP MAIN SOLVE Loop
memory used=1388.5MB, alloc=4.3MB, time=52.30
x[1] = 0.782
y[1] (analytic) = 0.92185642335464285558829386525154
y[1] (numeric) = 0.92185642335464285558829386525139
absolute error = 1.5e-31
relative error = 1.6271514326943539335026044212449e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.768
Order of pole = 0.1426
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 0.92195014083081980667435804446614
y[1] (numeric) = 0.92195014083081980667435804446598
absolute error = 1.6e-31
relative error = 1.7354517659253810616496046486304e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.769
Order of pole = 0.1425
TOP MAIN SOLVE Loop
memory used=1392.4MB, alloc=4.3MB, time=52.44
x[1] = 0.784
y[1] (analytic) = 0.92204371401817750051206475557172
y[1] (numeric) = 0.92204371401817750051206475557157
absolute error = 1.5e-31
relative error = 1.6268209166170059285878464539986e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.77
Order of pole = 0.1425
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.3MB, time=52.59
x[1] = 0.785
y[1] (analytic) = 0.92213714319819833003928294209469
y[1] (numeric) = 0.92213714319819833003928294209455
absolute error = 1.4e-31
relative error = 1.5182123508705611779184572771374e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.771
Order of pole = 0.1425
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 0.92223042865168106783249206136563
y[1] (numeric) = 0.92223042865168106783249206136548
absolute error = 1.5e-31
relative error = 1.6264915506995679494318090949387e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.772
Order of pole = 0.1425
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.3MB, time=52.73
x[1] = 0.787
y[1] (analytic) = 0.92232357065874289519885889445376
y[1] (numeric) = 0.92232357065874289519885889445361
absolute error = 1.5e-31
relative error = 1.6263272974024381135225485874316e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.773
Order of pole = 0.1425
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 0.92241656949882142403519835970937
y[1] (numeric) = 0.92241656949882142403519835970922
absolute error = 1.5e-31
relative error = 1.6261633296711031783077614893989e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.774
Order of pole = 0.1424
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.3MB, time=52.87
x[1] = 0.789
y[1] (analytic) = 0.9225094254506767114842907062983
y[1] (numeric) = 0.92250942545067671148429070629814
absolute error = 1.6e-31
relative error = 1.7343996233082892148964523143145e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.775
Order of pole = 0.1424
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 0.92260213879239326741887798099886
y[1] (numeric) = 0.92260213879239326741887798099871
absolute error = 1.5e-31
relative error = 1.6258362482915667196602521566461e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.776
Order of pole = 0.1424
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.3MB, time=53.02
x[1] = 0.791
y[1] (analytic) = 0.92269470980138205478351402054104
y[1] (numeric) = 0.92269470980138205478351402054088
absolute error = 1.6e-31
relative error = 1.7340513422304260468705805641378e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.777
Order of pole = 0.1424
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 0.92278713875438248282429441752155
y[1] (numeric) = 0.92278713875438248282429441752139
absolute error = 1.6e-31
relative error = 1.7338776547750203578121992846596e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.778
Order of pole = 0.1423
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.3MB, time=53.16
x[1] = 0.793
y[1] (analytic) = 0.92287942592746439323634593508751
y[1] (numeric) = 0.92287942592746439323634593508734
absolute error = 1.7e-31
relative error = 1.8420607852337310602831249383148e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.779
Order of pole = 0.1423
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 0.92297157159603003925880869884142
y[1] (numeric) = 0.92297157159603003925880869884127
absolute error = 1.5e-31
relative error = 1.6251854836722166303473313786308e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.78
Order of pole = 0.1423
TOP MAIN SOLVE Loop
memory used=1415.3MB, alloc=4.3MB, time=53.31
x[1] = 0.795
y[1] (analytic) = 0.92306357603481605774689916851983
y[1] (numeric) = 0.92306357603481605774689916851967
absolute error = 1.6e-31
relative error = 1.7333583964747963297083460552966e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.781
Order of pole = 0.1423
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 0.92315543951789543425049738170708
y[1] (numeric) = 0.92315543951789543425049738170693
absolute error = 1.5e-31
relative error = 1.6248617901047664169334450154028e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.782
Order of pole = 0.1423
TOP MAIN SOLVE Loop
memory used=1419.1MB, alloc=4.3MB, time=53.45
x[1] = 0.797
y[1] (analytic) = 0.92324716231867946112855826197909
y[1] (numeric) = 0.92324716231867946112855826197894
absolute error = 1.5e-31
relative error = 1.6247003632622499886332857387514e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.783
Order of pole = 0.1422
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 0.92333874470991968872850388927236
y[1] (numeric) = 0.92333874470991968872850388927221
absolute error = 1.5e-31
relative error = 1.6245392155305329912413121132874e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.785
Order of pole = 0.1422
TOP MAIN SOLVE Loop
memory used=1422.9MB, alloc=4.3MB, time=53.60
x[1] = 0.799
y[1] (analytic) = 0.9234301869637098696596115358306
y[1] (numeric) = 0.92343018696370986965961153583045
absolute error = 1.5e-31
relative error = 1.6243783462744313576445858382615e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.786
Order of pole = 0.1422
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.3MB, time=53.74
x[1] = 0.8
y[1] (analytic) = 0.92352148935148789618927097171088
y[1] (numeric) = 0.92352148935148789618927097171072
absolute error = 1.6e-31
relative error = 1.7324989385179835192228741491518e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.787
Order of pole = 0.1422
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 0.92361265214403773079084403449402
y[1] (numeric) = 0.92361265214403773079084403449386
absolute error = 1.6e-31
relative error = 1.7323279367014121575848050319902e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.788
Order of pole = 0.1421
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.3MB, time=53.88
x[1] = 0.802
y[1] (analytic) = 0.92370367561149132987171973353027
y[1] (numeric) = 0.92370367561149132987171973353012
absolute error = 1.5e-31
relative error = 1.6238974030356659752842150020878e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.789
Order of pole = 0.1421
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 0.9237945600233305607100192147905
y[1] (numeric) = 0.92379456002333056071001921479033
absolute error = 1.7e-31
relative error = 1.8402359935493301264208947337345e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.79
Order of pole = 0.1421
TOP MAIN SOLVE Loop
memory used=1434.3MB, alloc=4.3MB, time=54.03
x[1] = 0.804
y[1] (analytic) = 0.9238853056483891116282667432485
y[1] (numeric) = 0.92388530564838911162826674324834
absolute error = 1.6e-31
relative error = 1.7318166986941186484514143359063e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.791
Order of pole = 0.1421
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 0.92397591275485439543220546079068
y[1] (numeric) = 0.92397591275485439543220546079052
absolute error = 1.6e-31
relative error = 1.7316468729466821280290726457170e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.792
Order of pole = 0.142
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.3MB, time=54.17
x[1] = 0.806
y[1] (analytic) = 0.9240663816102694461428000440668
y[1] (numeric) = 0.92406638161026944614280004406665
absolute error = 1.5e-31
relative error = 1.6232600058300075904356084319495e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.793
Order of pole = 0.142
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 0.92415671248153480904933251363053
y[1] (numeric) = 0.92415671248153480904933251363037
absolute error = 1.6e-31
relative error = 1.7313080978481438391556376696769e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.794
Order of pole = 0.142
TOP MAIN SOLVE Loop
memory used=1442.0MB, alloc=4.3MB, time=54.32
x[1] = 0.808
y[1] (analytic) = 0.92424690563491042411136232836954
y[1] (numeric) = 0.92424690563491042411136232836939
absolute error = 1.5e-31
relative error = 1.6229429504766116614741044571354e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.795
Order of pole = 0.1419
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 0.92433696133601750273718753283117
y[1] (numeric) = 0.92433696133601750273718753283101
absolute error = 1.6e-31
relative error = 1.7309704868746059151567577210968e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.796
Order of pole = 0.1419
TOP MAIN SOLVE Loop
memory used=1445.8MB, alloc=4.3MB, time=54.47
x[1] = 0.81
y[1] (analytic) = 0.92442687984984039796631010487719
y[1] (numeric) = 0.92442687984984039796631010487704
absolute error = 1.5e-31
relative error = 1.6226269840224172431787494812232e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.797
Order of pole = 0.1419
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 0.92451666144072846808327577245688
y[1] (numeric) = 0.92451666144072846808327577245672
absolute error = 1.6e-31
relative error = 1.7306340347686392998856285412376e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.798
Order of pole = 0.1419
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.3MB, time=54.61
x[1] = 0.812
y[1] (analytic) = 0.92460630637239793369012642650288
y[1] (numeric) = 0.92460630637239793369012642650273
absolute error = 1.5e-31
relative error = 1.6223121015528249334492873890864e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.799
Order of pole = 0.1418
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 0.92469581490793372826457184740273
y[1] (numeric) = 0.92469581490793372826457184740258
absolute error = 1.5e-31
relative error = 1.6221550652841937746170677532034e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.8
Order of pole = 0.1418
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.3MB, time=54.75
x[1] = 0.814
y[1] (analytic) = 0.92478518730979134223085678057752
y[1] (numeric) = 0.92478518730979134223085678057738
absolute error = 1.4e-31
relative error = 1.5138650783027926088917304177560e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.801
Order of pole = 0.1418
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 0.92487442383979866057016943784581
y[1] (numeric) = 0.92487442383979866057016943784567
absolute error = 1.4e-31
relative error = 1.5137190129959738333107545246650e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.802
Order of pole = 0.1417
memory used=1457.2MB, alloc=4.3MB, time=54.90
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 0.92496352475915779399730826092805
y[1] (numeric) = 0.92496352475915779399730826092791
absolute error = 1.4e-31
relative error = 1.5135731977804555135295668590586e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.803
Order of pole = 0.1417
TOP MAIN SOLVE Loop
memory used=1461.0MB, alloc=4.3MB, time=55.04
x[1] = 0.817
y[1] (analytic) = 0.92505249032844690373019525715492
y[1] (numeric) = 0.92505249032844690373019525715478
absolute error = 1.4e-31
relative error = 1.5134276320935251795486335801581e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.804
Order of pole = 0.1417
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 0.92514132080762201987869640070976
y[1] (numeric) = 0.92514132080762201987869640070961
absolute error = 1.5e-31
relative error = 1.6213739093293797842353295216623e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.805
Order of pole = 0.1417
TOP MAIN SOLVE Loop
memory used=1464.8MB, alloc=4.3MB, time=55.19
x[1] = 0.819
y[1] (analytic) = 0.92523001645601885347908248112214
y[1] (numeric) = 0.925230016456018853479082481122
absolute error = 1.4e-31
relative error = 1.5131372470626600244646522686025e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.806
Order of pole = 0.1416
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 0.92531857753235460220033736982871
y[1] (numeric) = 0.92531857753235460220033736982857
absolute error = 1.4e-31
relative error = 1.5129924266013644710436927508530e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.807
Order of pole = 0.1416
TOP MAIN SOLVE Loop
memory used=1468.7MB, alloc=4.3MB, time=55.33
x[1] = 0.821
y[1] (analytic) = 0.92540700429472974974839496105034
y[1] (numeric) = 0.9254070042947297497483949610502
absolute error = 1.4e-31
relative error = 1.5128478534339240107480568386549e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.808
Order of pole = 0.1416
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 0.9254952970006298589942610206566
y[1] (numeric) = 0.92549529700062985899426102065646
absolute error = 1.4e-31
relative error = 1.5127035270056560968973407098260e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.809
Order of pole = 0.1415
TOP MAIN SOLVE Loop
memory used=1472.5MB, alloc=4.3MB, time=55.47
x[1] = 0.823
y[1] (analytic) = 0.92558345590692735885185184178106
y[1] (numeric) = 0.92558345590692735885185184178091
absolute error = 1.5e-31
relative error = 1.6205994072465719040202483942170e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.81
Order of pole = 0.1415
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 0.92567148126988332493125795442984
y[1] (numeric) = 0.92567148126988332493125795442969
absolute error = 1.5e-31
relative error = 1.6204452987384072113454828162389e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.811
Order of pole = 0.1415
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.3MB, time=55.61
x[1] = 0.825
y[1] (analytic) = 0.92575937334514925399301816393413
y[1] (numeric) = 0.92575937334514925399301816393397
absolute error = 1.6e-31
relative error = 1.7283108830089855196761093509804e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.812
Order of pole = 0.1414
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 0.92584713238776883222886689560808
y[1] (numeric) = 0.92584713238776883222886689560792
absolute error = 1.6e-31
relative error = 1.7281470601670324475977103853839e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.813
Order of pole = 0.1414
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.3MB, time=55.76
x[1] = 0.827
y[1] (analytic) = 0.92593475865217969739429619619119
y[1] (numeric) = 0.92593475865217969739429619619104
absolute error = 1.5e-31
relative error = 1.6199845464095635221193140259070e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.815
Order of pole = 0.1414
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 0.92602225239221519481815278240927
y[1] (numeric) = 0.92602225239221519481815278240912
absolute error = 1.5e-31
relative error = 1.6198314847456575791203603125392e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.816
Order of pole = 0.1413
TOP MAIN SOLVE Loop
memory used=1483.9MB, alloc=4.3MB, time=55.91
x[1] = 0.829
y[1] (analytic) = 0.92610961386110612731437022914299
y[1] (numeric) = 0.92610961386110612731437022914285
absolute error = 1.4e-31
relative error = 1.5117001044435393171994802090071e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.817
Order of pole = 0.1413
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 0.92619684331148249902081675013777
y[1] (numeric) = 0.92619684331148249902081675013763
absolute error = 1.4e-31
relative error = 1.5115577321495752714154003362781e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.818
Order of pole = 0.1413
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.3MB, time=56.05
x[1] = 0.831
y[1] (analytic) = 0.92628394099537525319012003884062
y[1] (numeric) = 0.92628394099537525319012003884047
absolute error = 1.5e-31
relative error = 1.6193738589358629440906140403278e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.819
Order of pole = 0.1412
TOP MAIN SOLVE Loop
memory used=1491.5MB, alloc=4.3MB, time=56.19
x[1] = 0.832
y[1] (analytic) = 0.92637090716421800395721230175773
y[1] (numeric) = 0.92637090716421800395721230175758
absolute error = 1.5e-31
relative error = 1.6192218347959135792742248757923e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.82
Order of pole = 0.1412
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 0.92645774206884876210822092766393
y[1] (numeric) = 0.92645774206884876210822092766378
absolute error = 1.5e-31
relative error = 1.6190700685930789383061728125246e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.821
Order of pole = 0.1412
TOP MAIN SOLVE Loop
memory used=1495.4MB, alloc=4.3MB, time=56.34
x[1] = 0.834
y[1] (analytic) = 0.92654444595951165487521318906584
y[1] (numeric) = 0.9265444459595116548752131890657
absolute error = 1.4e-31
relative error = 1.5109906557695533487134254774470e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.822
Order of pole = 0.1411
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 0.92663101908585863978118696355548
y[1] (numeric) = 0.92663101908585863978118696355534
absolute error = 1.4e-31
relative error = 1.5108494871897662192504078199867e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.823
Order of pole = 0.1411
TOP MAIN SOLVE Loop
memory used=1499.2MB, alloc=4.3MB, time=56.48
x[1] = 0.836
y[1] (analytic) = 0.92671746169695121255958368814695
y[1] (numeric) = 0.92671746169695121255958368814681
absolute error = 1.4e-31
relative error = 1.5107085577479043948363223676207e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.824
Order of pole = 0.141
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 0.92680377404126210917248461545337
y[1] (numeric) = 0.92680377404126210917248461545323
absolute error = 1.4e-31
relative error = 1.5105678669125389035834975016545e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.825
Order of pole = 0.141
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.3MB, time=56.63
x[1] = 0.838
y[1] (analytic) = 0.92688995636667700195153692274421
y[1] (numeric) = 0.92688995636667700195153692274407
absolute error = 1.4e-31
relative error = 1.5104274141537477228987163373303e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.826
Order of pole = 0.141
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 0.92697600892049618988554232966652
y[1] (numeric) = 0.92697600892049618988554232966637
absolute error = 1.5e-31
relative error = 1.6181648560104755326479496670466e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.827
Order of pole = 0.1409
TOP MAIN SOLVE Loop
memory used=1506.8MB, alloc=4.3MB, time=56.77
x[1] = 0.84
y[1] (analytic) = 0.92706193194943628307852760388126
y[1] (numeric) = 0.92706193194943628307852760388111
absolute error = 1.5e-31
relative error = 1.6180148793789677973053136129995e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.828
Order of pole = 0.1409
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 0.92714772569963188140200367225189
y[1] (numeric) = 0.92714772569963188140200367225174
absolute error = 1.5e-31
relative error = 1.6178651561358142327944059430966e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.829
Order of pole = 0.1409
TOP MAIN SOLVE Loop
memory used=1510.6MB, alloc=4.3MB, time=56.92
x[1] = 0.842
y[1] (analytic) = 0.92723339041663724736500800474398
y[1] (numeric) = 0.92723339041663724736500800474384
absolute error = 1.4e-31
relative error = 1.5098679733383336893246837840226e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.83
Order of pole = 0.1408
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 0.92731892634542797322541349509796
y[1] (numeric) = 0.92731892634542797322541349509782
absolute error = 1.4e-31
relative error = 1.5097287030659584251596455309347e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.831
Order of pole = 0.1408
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.3MB, time=57.06
x[1] = 0.844
y[1] (analytic) = 0.92740433373040264236587622289135
y[1] (numeric) = 0.9274043337304026423658762228912
absolute error = 1.5e-31
relative error = 1.6174175011306896528866354607570e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.832
Order of pole = 0.1407
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 0.92748961281538448495768424210953
y[1] (numeric) = 0.9274896128153844849576842421094
absolute error = 1.3e-31
relative error = 1.4016329477306644387677642457035e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.833
Order of pole = 0.1407
TOP MAIN SOLVE Loop
memory used=1518.3MB, alloc=4.3MB, time=57.20
x[1] = 0.846
y[1] (analytic) = 0.92757476384362302793565989811587
y[1] (numeric) = 0.92757476384362302793565989811572
absolute error = 1.5e-31
relative error = 1.6171203211527651902414010220947e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.834
Order of pole = 0.1407
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 0.92765978705779573930715912429986
y[1] (numeric) = 0.92765978705779573930715912429972
absolute error = 1.4e-31
relative error = 1.5091739660725168147099184426207e-29 %
Correct digits = 30
memory used=1522.1MB, alloc=4.3MB, time=57.35
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.835
Order of pole = 0.1406
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 0.92774468270000966681810270805969
y[1] (numeric) = 0.92774468270000966681810270805955
absolute error = 1.4e-31
relative error = 1.5090358652615378793857678383061e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.836
Order of pole = 0.1406
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.3MB, time=57.49
x[1] = 0.849
y[1] (analytic) = 0.9278294510118030709988666395362
y[1] (numeric) = 0.92782945101180307099886663953605
absolute error = 1.5e-31
relative error = 1.6166764251385228483891875373639e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.837
Order of pole = 0.1405
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 0.92791409223414705261275136208496
y[1] (numeric) = 0.92791409223414705261275136208482
absolute error = 1.4e-31
relative error = 1.5087603601635227763830080276710e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.838
Order of pole = 0.1405
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.3MB, time=57.63
x[1] = 0.851
y[1] (analytic) = 0.92799860660744717452964302729445
y[1] (numeric) = 0.9279986066074471745296430272943
absolute error = 1.5e-31
relative error = 1.6163817373429691129187944350839e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.839
Order of pole = 0.1405
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 0.92808299437154507804737371590276
y[1] (numeric) = 0.92808299437154507804737371590262
absolute error = 1.4e-31
relative error = 1.5084857803563304307288640669986e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.84
Order of pole = 0.1404
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.3MB, time=57.78
x[1] = 0.853
y[1] (analytic) = 0.92816725576572009368318201572844
y[1] (numeric) = 0.92816725576572009368318201572829
absolute error = 1.5e-31
relative error = 1.6160880387474226459002301736715e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.841
Order of pole = 0.1404
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 0.92825139102869084645757034522888
y[1] (numeric) = 0.92825139102869084645757034522873
absolute error = 1.5e-31
relative error = 1.6159415590400524041285008013541e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.842
Order of pole = 0.1403
TOP MAIN SOLVE Loop
memory used=1537.3MB, alloc=4.3MB, time=57.92
x[1] = 0.855
y[1] (analytic) = 0.9283354003986168556927509730774
y[1] (numeric) = 0.92833540039861685569275097307725
absolute error = 1.5e-31
relative error = 1.6157953250042137228675903992804e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.843
Order of pole = 0.1403
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 0.92841928411310012934776880677049
y[1] (numeric) = 0.92841928411310012934776880677033
absolute error = 1.6e-31
relative error = 1.7233592918402671192040713114522e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.844
Order of pole = 0.1402
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.3MB, time=58.07
x[1] = 0.857
y[1] (analytic) = 0.92850304240918675291228570333142
y[1] (numeric) = 0.92850304240918675291228570333127
absolute error = 1.5e-31
relative error = 1.6155035917900173459607341875699e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.845
Order of pole = 0.1402
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 0.92858667552336847288090828927646
y[1] (numeric) = 0.9285866755233684728809082892763
absolute error = 1.6e-31
relative error = 1.7230486309726667888146205491509e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.846
Order of pole = 0.1402
TOP MAIN SOLVE Loop
memory used=1545.0MB, alloc=4.3MB, time=58.21
x[1] = 0.859
y[1] (analytic) = 0.92867018369158427482983906179061
y[1] (numeric) = 0.92867018369158427482983906179045
absolute error = 1.6e-31
relative error = 1.7228936904593972696491026773241e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.847
Order of pole = 0.1401
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 0.92875356714922195611752887518124
y[1] (numeric) = 0.92875356714922195611752887518108
absolute error = 1.6e-31
relative error = 1.7227390091336569964173308629534e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.848
Order of pole = 0.1401
TOP MAIN SOLVE Loop
memory used=1548.8MB, alloc=4.3MB, time=58.35
x[1] = 0.861
y[1] (analytic) = 0.92883682613111969323090779281839
y[1] (numeric) = 0.92883682613111969323090779281823
absolute error = 1.6e-31
relative error = 1.7225845864278159417672513796949e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.849
Order of pole = 0.14
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 0.92891996087156760379867070163652
y[1] (numeric) = 0.92891996087156760379867070163636
absolute error = 1.6e-31
relative error = 1.7224304217758281828532435817731e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.85
Order of pole = 0.14
TOP MAIN SOLVE Loop
memory used=1552.6MB, alloc=4.3MB, time=58.50
x[1] = 0.863
y[1] (analytic) = 0.92900297160430930329299404058761
y[1] (numeric) = 0.92900297160430930329299404058745
absolute error = 1.6e-31
relative error = 1.7222765146132264407755000171771e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.851
Order of pole = 0.1399
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.3MB, time=58.64
x[1] = 0.864
y[1] (analytic) = 0.92908585856254345644096048294935
y[1] (numeric) = 0.9290858585625434564409604829492
absolute error = 1.5e-31
relative error = 1.6144901853535468524386998041259e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.852
Order of pole = 0.1399
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 0.92916862197892532336686943187431
y[1] (numeric) = 0.92916862197892532336686943187416
absolute error = 1.5e-31
relative error = 1.6143463785995367242425569231587e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.853
Order of pole = 0.1398
TOP MAIN SOLVE Loop
memory used=1560.2MB, alloc=4.3MB, time=58.79
x[1] = 0.866
y[1] (analytic) = 0.92925126208556830048651273580841
y[1] (numeric) = 0.92925126208556830048651273580826
absolute error = 1.5e-31
relative error = 1.6142028116630907613073964539393e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.855
Order of pole = 0.1398
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 0.92933377911404545617439710222431
y[1] (numeric) = 0.92933377911404545617439710222415
absolute error = 1.6e-31
relative error = 1.7216634496222827024874995152998e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.856
Order of pole = 0.1397
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.3MB, time=58.93
x[1] = 0.868
y[1] (analytic) = 0.92941617329539106122479728134111
y[1] (numeric) = 0.92941617329539106122479728134095
absolute error = 1.6e-31
relative error = 1.7215108214944749961100305414955e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.857
Order of pole = 0.1397
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 0.92949844486010211412742720299485
y[1] (numeric) = 0.9294984448601021141274272029947
absolute error = 1.5e-31
relative error = 1.6137735445332170589669843657260e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.858
Order of pole = 0.1396
TOP MAIN SOLVE Loop
memory used=1567.8MB, alloc=4.3MB, time=59.08
x[1] = 0.87
y[1] (analytic) = 0.92958059403813986117841987646055
y[1] (numeric) = 0.92958059403813986117841987646038
absolute error = 1.7e-31
relative error = 1.8287817225348085514970322467557e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.859
Order of pole = 0.1396
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 0.92966262105893131144721100170613
y[1] (numeric) = 0.92966262105893131144721100170597
absolute error = 1.6e-31
relative error = 1.7210544597109019440904953610307e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.86
Order of pole = 0.1395
TOP MAIN SOLVE Loop
memory used=1571.7MB, alloc=4.3MB, time=59.22
x[1] = 0.872
y[1] (analytic) = 0.92974452615137074661982588820166
y[1] (numeric) = 0.9297445261513707466198258882015
absolute error = 1.6e-31
relative error = 1.7209028448095489529356973194782e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.861
Order of pole = 0.1395
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 0.92982630954382122573897443095212
y[1] (numeric) = 0.92982630954382122573897443095197
absolute error = 1.5e-31
relative error = 1.6132045142236399590918149699074e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.862
Order of pole = 0.1394
TOP MAIN SOLVE Loop
memory used=1575.5MB, alloc=4.3MB, time=59.37
x[1] = 0.874
y[1] (analytic) = 0.92990797146411608486126454983374
y[1] (numeric) = 0.92990797146411608486126454983358
absolute error = 1.6e-31
relative error = 1.7206003702504467429159400711275e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.863
Order of pole = 0.1394
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 0.92998951213956043165175065456954
y[1] (numeric) = 0.9299895121395604316517506545694
absolute error = 1.4e-31
relative error = 1.5053933208118874552875932159897e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.864
Order of pole = 0.1393
TOP MAIN SOLVE Loop
memory used=1579.3MB, alloc=4.3MB, time=59.51
x[1] = 0.876
y[1] (analytic) = 0.93007093179693263493594035078571
y[1] (numeric) = 0.93007093179693263493594035078556
absolute error = 1.5e-31
relative error = 1.6127802178506348903573394612629e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.865
Order of pole = 0.1393
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 0.93015223066248580922928974956433
y[1] (numeric) = 0.93015223066248580922928974956418
absolute error = 1.5e-31
relative error = 1.6126392546859231615931055742732e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.866
Order of pole = 0.1392
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.3MB, time=59.66
x[1] = 0.878
y[1] (analytic) = 0.93023340896194929426412538079651
y[1] (numeric) = 0.93023340896194929426412538079637
absolute error = 1.4e-31
relative error = 1.5049986234769453004614862299381e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.867
Order of pole = 0.1392
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 0.93031446692053012953383883650019
y[1] (numeric) = 0.93031446692053012953383883650004
absolute error = 1.5e-31
relative error = 1.6123580287482876300253227980172e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.868
Order of pole = 0.1391
memory used=1586.9MB, alloc=4.3MB, time=59.80
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 0.93039540476291452387410888118422
y[1] (numeric) = 0.93039540476291452387410888118407
absolute error = 1.5e-31
relative error = 1.6122177649643845956281363439318e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.869
Order of pole = 0.1391
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.3MB, time=59.94
x[1] = 0.881
y[1] (analytic) = 0.93047622271326932010081485941408
y[1] (numeric) = 0.93047622271326932010081485941393
absolute error = 1.5e-31
relative error = 1.6120777332987606546493030543756e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.87
Order of pole = 0.139
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 0.93055692099524345472421480308461
y[1] (numeric) = 0.93055692099524345472421480308446
absolute error = 1.5e-31
relative error = 1.6119379332494022208892435911756e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.871
Order of pole = 0.139
TOP MAIN SOLVE Loop
memory used=1594.5MB, alloc=4.3MB, time=60.09
x[1] = 0.883
y[1] (analytic) = 0.93063749983196941275887168967319
y[1] (numeric) = 0.93063749983196941275887168967304
absolute error = 1.5e-31
relative error = 1.6117983643156776141840978673104e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.872
Order of pole = 0.1389
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 0.93071795944606467764872182508976
y[1] (numeric) = 0.9307179594460646776487218250896
absolute error = 1.6e-31
relative error = 1.7191029610648878559220190271280e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.873
Order of pole = 0.1389
TOP MAIN SOLVE Loop
memory used=1598.4MB, alloc=4.3MB, time=60.23
x[1] = 0.885
y[1] (analytic) = 0.9307983000596331763265903178367
y[1] (numeric) = 0.93079830005963317632659031783655
absolute error = 1.5e-31
relative error = 1.6115199177994845377221370126035e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.874
Order of pole = 0.1388
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 0.93087852189426671942737007223876
y[1] (numeric) = 0.93087852189426671942737007223861
absolute error = 1.5e-31
relative error = 1.6113810392226200740826000910917e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.875
Order of pole = 0.1387
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.3MB, time=60.38
x[1] = 0.887
y[1] (analytic) = 0.93095862517104643667399265471494
y[1] (numeric) = 0.93095862517104643667399265471479
absolute error = 1.5e-31
relative error = 1.6112423897725881540775353040820e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.876
Order of pole = 0.1387
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 0.93103861011054420745523177567648
y[1] (numeric) = 0.93103861011054420745523177567633
absolute error = 1.5e-31
relative error = 1.6111039689555965768420981355585e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.877
Order of pole = 0.1386
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.3MB, time=60.52
x[1] = 0.889
y[1] (analytic) = 0.93111847693282408661429297789786
y[1] (numeric) = 0.9311184769328240866142929778977
absolute error = 1.6e-31
relative error = 1.7183634946978209705154220124383e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.878
Order of pole = 0.1386
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 0.93119822585744372546705642739334
y[1] (numeric) = 0.93119822585744372546705642739319
absolute error = 1.5e-31
relative error = 1.6108278112523311569175905325740e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.879
Order of pole = 0.1385
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.3MB, time=60.67
x[1] = 0.891
y[1] (analytic) = 0.93127785710345578806875346222789
y[1] (numeric) = 0.93127785710345578806875346222774
absolute error = 1.5e-31
relative error = 1.6106900733852246946782212953805e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.88
Order of pole = 0.1385
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 0.93135737088940936274777176560498
y[1] (numeric) = 0.93135737088940936274777176560482
absolute error = 1.6e-31
relative error = 1.7179227330021165095742755493951e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.881
Order of pole = 0.1384
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.3MB, time=60.81
x[1] = 0.893
y[1] (analytic) = 0.93143676743335136892519868933014
y[1] (numeric) = 0.93143676743335136892519868932998
absolute error = 1.6e-31
relative error = 1.7177762956565781461898905530813e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.882
Order of pole = 0.1383
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 0.9315160469528279592386273596896
y[1] (numeric) = 0.93151604695282795923862735968945
absolute error = 1.5e-31
relative error = 1.6102782178651615968675694706784e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.883
Order of pole = 0.1383
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.3MB, time=60.96
x[1] = 0.895
y[1] (analytic) = 0.93159520966488591698866574726843
y[1] (numeric) = 0.93159520966488591698866574726827
absolute error = 1.6e-31
relative error = 1.7174841426841955569545293733285e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.884
Order of pole = 0.1382
TOP MAIN SOLVE Loop
memory used=1621.3MB, alloc=4.3MB, time=61.10
x[1] = 0.896
y[1] (analytic) = 0.93167425578607404892650487263948
y[1] (numeric) = 0.93167425578607404892650487263933
absolute error = 1.5e-31
relative error = 1.6100047743987699093363429932859e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.885
Order of pole = 0.1382
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 0.93175318553244457340081874857871
y[1] (numeric) = 0.93175318553244457340081874857856
absolute error = 1.5e-31
relative error = 1.6098683892804018826489261844131e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.886
Order of pole = 0.1381
TOP MAIN SOLVE Loop
memory used=1625.1MB, alloc=4.3MB, time=61.24
x[1] = 0.898
y[1] (analytic) = 0.93183199911955450388218552391394
y[1] (numeric) = 0.93183199911955450388218552391379
absolute error = 1.5e-31
relative error = 1.6097322279308732583099019122528e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.887
Order of pole = 0.138
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 0.93191069676246702788313659172554
y[1] (numeric) = 0.93191069676246702788313659172538
absolute error = 1.6e-31
relative error = 1.7169027091957728685142099635835e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.888
Order of pole = 0.138
TOP MAIN SOLVE Loop
memory used=1628.9MB, alloc=4.3MB, time=61.39
x[1] = 0.9
y[1] (analytic) = 0.93198927867575288129185815283089
y[1] (numeric) = 0.93198927867575288129185815283074
absolute error = 1.5e-31
relative error = 1.6094605746230509524947814254557e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.889
Order of pole = 0.1379
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 0.9320677450734917181374878817665
y[1] (numeric) = 0.93206774507349171813748788176634
absolute error = 1.6e-31
relative error = 1.7166134204910643381938313240765e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.89
Order of pole = 0.1378
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.3MB, time=61.53
x[1] = 0.902
y[1] (analytic) = 0.93214609616927347580486792430863
y[1] (numeric) = 0.93214609616927347580486792430849
absolute error = 1.4e-31
relative error = 1.5019104899472393338424051638818e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.891
Order of pole = 0.1378
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 0.9322243321761997357165344604451
y[1] (numeric) = 0.93222433217619973571653446044496
absolute error = 1.4e-31
relative error = 1.5017844435918306173710950628356e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.892
Order of pole = 0.1377
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.3MB, time=61.67
x[1] = 0.904
y[1] (analytic) = 0.93230245330688507949964349213629
y[1] (numeric) = 0.93230245330688507949964349213614
absolute error = 1.5e-31
relative error = 1.6089199322381773017672473488815e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.893
Order of pole = 0.1376
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 0.93238045977345844065545235871575
y[1] (numeric) = 0.9323804597734584406554523587156
absolute error = 1.5e-31
relative error = 1.6087853239271624546197402867148e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.894
Order of pole = 0.1376
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.3MB, time=61.82
x[1] = 0.906
y[1] (analytic) = 0.9324583517875644517488967419217
y[1] (numeric) = 0.93245835178756445174889674192156
absolute error = 1.4e-31
relative error = 1.5014075398822234302677148575051e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.895
Order of pole = 0.1375
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 0.93253612956036478713572359488434
y[1] (numeric) = 0.9325361295603647871357235948842
absolute error = 1.4e-31
relative error = 1.5012823156353379792413143392272e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.896
Order of pole = 0.1374
TOP MAIN SOLVE Loop
memory used=1644.1MB, alloc=4.3MB, time=61.96
x[1] = 0.908
y[1] (analytic) = 0.93261379330253950124456151249664
y[1] (numeric) = 0.9326137933025395012445615124965
absolute error = 1.4e-31
relative error = 1.5011572958216377359888425278626e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.897
Order of pole = 0.1374
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 0.93269134322428836243123155206169
y[1] (numeric) = 0.93269134322428836243123155206155
absolute error = 1.4e-31
relative error = 1.5010324800059132564537841961592e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.898
Order of pole = 0.1373
TOP MAIN SOLVE Loop
memory used=1648.0MB, alloc=4.3MB, time=62.11
x[1] = 0.91
y[1] (analytic) = 0.93276877953533218242252341054722
y[1] (numeric) = 0.93276877953533218242252341054708
absolute error = 1.4e-31
relative error = 1.5009078677541325764507004979106e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.899
Order of pole = 0.1372
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 0.93284610244491414136658416581203
y[1] (numeric) = 0.9328461024449141413665841658119
absolute error = 1.3e-31
relative error = 1.3935846401596203340320356008698e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.9
Order of pole = 0.1372
memory used=1651.8MB, alloc=4.3MB, time=62.25
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 0.932923312161801108506989491441
y[1] (numeric) = 0.93292331216180110850698949144087
absolute error = 1.3e-31
relative error = 1.3934693056255572716134677377831e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.901
Order of pole = 0.1371
TOP MAIN SOLVE Loop
memory used=1655.6MB, alloc=4.3MB, time=62.40
x[1] = 0.913
y[1] (analytic) = 0.93300040889428495849749035598963
y[1] (numeric) = 0.9330004088942849584974903559895
absolute error = 1.3e-31
relative error = 1.3933541589125911012726458366031e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.902
Order of pole = 0.137
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 0.93307739285018388337435171516882
y[1] (numeric) = 0.93307739285018388337435171516868
absolute error = 1.4e-31
relative error = 1.5004114457468007866979371354905e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.903
Order of pole = 0.137
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.3MB, time=62.54
x[1] = 0.915
y[1] (analytic) = 0.93315426423684370020312359747977
y[1] (numeric) = 0.93315426423684370020312359747963
absolute error = 1.4e-31
relative error = 1.5002878448451972946855587440112e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.904
Order of pole = 0.1369
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 0.93323102326113915441660926774168
y[1] (numeric) = 0.93323102326113915441660926774154
absolute error = 1.4e-31
relative error = 1.5001644449278539740161190626176e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.905
Order of pole = 0.1368
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.3MB, time=62.69
x[1] = 0.917
y[1] (analytic) = 0.93330767012947521886071982655543
y[1] (numeric) = 0.93330767012947521886071982655529
absolute error = 1.4e-31
relative error = 1.5000412455688720863398277996526e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.906
Order of pole = 0.1367
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 0.9333842050477883885648296647478
y[1] (numeric) = 0.93338420504778838856482966474766
absolute error = 1.4e-31
relative error = 1.4999182463434993781882766595628e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.907
Order of pole = 0.1367
TOP MAIN SOLVE Loop
memory used=1667.0MB, alloc=4.3MB, time=62.83
x[1] = 0.919
y[1] (analytic) = 0.93346062822154797125317263798825
y[1] (numeric) = 0.93346062822154797125317263798811
absolute error = 1.4e-31
relative error = 1.4997954468281262757881236188047e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.908
Order of pole = 0.1366
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 0.933536939855757373613744655825
y[1] (numeric) = 0.93353693985575737361374465582487
absolute error = 1.3e-31
relative error = 1.3925533575574048025106303676259e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.909
Order of pole = 0.1365
TOP MAIN SOLVE Loop
memory used=1670.8MB, alloc=4.3MB, time=62.98
x[1] = 0.921
y[1] (analytic) = 0.93361314015495538334110458912465
y[1] (numeric) = 0.93361314015495538334110458912451
absolute error = 1.4e-31
relative error = 1.4995504452386312663923344386794e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.91
Order of pole = 0.1365
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 0.93368922932321744696939198810915
y[1] (numeric) = 0.93368922932321744696939198810901
absolute error = 1.4e-31
relative error = 1.4994282423229695751396174046849e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.911
Order of pole = 0.1364
TOP MAIN SOLVE Loop
memory used=1674.7MB, alloc=4.3MB, time=63.12
x[1] = 0.923
y[1] (analytic) = 0.93376520756415694351180706767122
y[1] (numeric) = 0.93376520756415694351180706767108
absolute error = 1.4e-31
relative error = 1.4993062374342204160760966515172e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.912
Order of pole = 0.1363
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 0.93384107508092645392272575523053
y[1] (numeric) = 0.93384107508092645392272575523039
absolute error = 1.4e-31
relative error = 1.4991844301544310634348993122401e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.913
Order of pole = 0.1362
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.3MB, time=63.27
x[1] = 0.925
y[1] (analytic) = 0.93391683207621902639855030690334
y[1] (numeric) = 0.93391683207621902639855030690321
absolute error = 1.3e-31
relative error = 1.3919869043477140300551786857285e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.914
Order of pole = 0.1361
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 0.93399247875226943753332407804257
y[1] (numeric) = 0.93399247875226943753332407804243
absolute error = 1.4e-31
relative error = 1.4989414067555179936305835414773e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.915
Order of pole = 0.1361
TOP MAIN SOLVE Loop
memory used=1682.3MB, alloc=4.3MB, time=63.41
x[1] = 0.927
y[1] (analytic) = 0.93406801531085544934506748212469
y[1] (numeric) = 0.93406801531085544934506748212455
absolute error = 1.4e-31
relative error = 1.4988201898060748567762201646688e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.916
Order of pole = 0.136
TOP MAIN SOLVE Loop
memory used=1686.1MB, alloc=4.3MB, time=63.56
x[1] = 0.928
y[1] (analytic) = 0.93414344195329906218872098538992
y[1] (numeric) = 0.93414344195329906218872098538978
absolute error = 1.4e-31
relative error = 1.4986991688049453294563462791878e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.917
Order of pole = 0.1359
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 0.93421875888046776357151016146888
y[1] (numeric) = 0.93421875888046776357151016146874
absolute error = 1.4e-31
relative error = 1.4985783433397406450952035521395e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.918
Order of pole = 0.1358
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.3MB, time=63.70
x[1] = 0.93
y[1] (analytic) = 0.93429396629277577288647736835674
y[1] (numeric) = 0.9342939662927757728864773683566
absolute error = 1.4e-31
relative error = 1.4984577129991738434699080488362e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.919
Order of pole = 0.1358
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 0.93436906439018528207985450743836
y[1] (numeric) = 0.93436906439018528207985450743822
absolute error = 1.4e-31
relative error = 1.4983372773730561425965970171910e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.92
Order of pole = 0.1357
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.3MB, time=63.84
x[1] = 0.932
y[1] (analytic) = 0.93444405337220769226788157875489
y[1] (numeric) = 0.93444405337220769226788157875474
absolute error = 1.5e-31
relative error = 1.6052325386274571338559967331316e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.921
Order of pole = 0.1356
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 0.93451893343790484631860635627559
y[1] (numeric) = 0.93451893343790484631860635627545
absolute error = 1.4e-31
relative error = 1.4980969886288821378262032422500e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.922
Order of pole = 0.1355
TOP MAIN SOLVE Loop
memory used=1697.5MB, alloc=4.3MB, time=63.99
x[1] = 0.934
y[1] (analytic) = 0.93459370478589025741413146955455
y[1] (numeric) = 0.93459370478589025741413146955441
absolute error = 1.4e-31
relative error = 1.4979771346959067081553448899855e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.923
Order of pole = 0.1354
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 0.93466836761433033360870649177764
y[1] (numeric) = 0.93466836761433033360870649177749
absolute error = 1.5e-31
relative error = 1.6048472934080731832979522785186e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.924
Order of pole = 0.1353
TOP MAIN SOLVE Loop
memory used=1701.4MB, alloc=4.3MB, time=64.14
x[1] = 0.936
y[1] (analytic) = 0.9347429221209455983979942968244
y[1] (numeric) = 0.93474292212094559839799429682426
absolute error = 1.4e-31
relative error = 1.4977380056790151128416171486441e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.925
Order of pole = 0.1353
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 0.93481736850301190731477295757546
y[1] (numeric) = 0.93481736850301190731477295757532
absolute error = 1.4e-31
relative error = 1.4976187297866720275779883919841e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.926
Order of pole = 0.1352
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.3MB, time=64.28
x[1] = 0.938
y[1] (analytic) = 0.93489170695736166056626681229695
y[1] (numeric) = 0.9348917069573616605662668122968
absolute error = 1.5e-31
relative error = 1.6044639061798969157407146454240e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.927
Order of pole = 0.1351
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 0.93496593768038501172823302355021
y[1] (numeric) = 0.93496593768038501172823302355007
absolute error = 1.4e-31
relative error = 1.4973807532211781301054803231736e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.928
Order of pole = 0.135
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.3MB, time=64.42
x[1] = 0.94
y[1] (analytic) = 0.93504006086803107251086299274003
y[1] (numeric) = 0.9350400608680310725108629927399
absolute error = 1.3e-31
relative error = 1.3903147623355983119291648458327e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.929
Order of pole = 0.1349
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 0.93511407671580911361149137117381
y[1] (numeric) = 0.93511407671580911361149137117367
absolute error = 1.4e-31
relative error = 1.4971435409430528227963320901895e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.93
Order of pole = 0.1348
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.3MB, time=64.57
x[1] = 0.942
y[1] (analytic) = 0.93518798541878976166903912341645
y[1] (numeric) = 0.93518798541878976166903912341631
absolute error = 1.4e-31
relative error = 1.4970252204139055151893549477320e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.931
Order of pole = 0.1347
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 0.93526178717160619233505114886113
y[1] (numeric) = 0.93526178717160619233505114886099
absolute error = 1.4e-31
relative error = 1.4969070897612985379533323419786e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.932
Order of pole = 0.1347
memory used=1716.6MB, alloc=4.3MB, time=64.71
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 0.93533548216845531947612335087791
y[1] (numeric) = 0.93533548216845531947612335087776
absolute error = 1.5e-31
relative error = 1.6037026592024953846446029195676e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.933
Order of pole = 0.1346
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.3MB, time=64.86
x[1] = 0.945
y[1] (analytic) = 0.93540907060309898052244875774601
y[1] (numeric) = 0.93540907060309898052244875774586
absolute error = 1.5e-31
relative error = 1.6035764962519388976212249891962e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.934
Order of pole = 0.1345
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 0.93548255266886511797714734392898
y[1] (numeric) = 0.93548255266886511797714734392884
absolute error = 1.4e-31
relative error = 1.4965538331055984717721082645668e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.935
Order of pole = 0.1344
TOP MAIN SOLVE Loop
memory used=1724.3MB, alloc=4.3MB, time=65.00
x[1] = 0.947
y[1] (analytic) = 0.93555592855864895710097957223376
y[1] (numeric) = 0.93555592855864895710097957223361
absolute error = 1.5e-31
relative error = 1.6033247764363524889659728125612e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.936
Order of pole = 0.1343
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 0.93562919846491417978697937513772
y[1] (numeric) = 0.93562919846491417978697937513758
absolute error = 1.4e-31
relative error = 1.4963192708147399580295206932628e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.937
Order of pole = 0.1342
TOP MAIN SOLVE Loop
memory used=1728.1MB, alloc=4.3MB, time=65.15
x[1] = 0.949
y[1] (analytic) = 0.93570236257969409463947831521482
y[1] (numeric) = 0.93570236257969409463947831521467
absolute error = 1.5e-31
relative error = 1.6030738619325057864573649506042e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.938
Order of pole = 0.1341
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 0.93577542109459280327192900829811
y[1] (numeric) = 0.93577542109459280327192900829796
absolute error = 1.5e-31
relative error = 1.6029487056257834628825402984178e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.939
Order of pole = 0.134
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.3MB, time=65.29
x[1] = 0.951
y[1] (analytic) = 0.93584837420078636283787255694967
y[1] (numeric) = 0.93584837420078636283787255694952
absolute error = 1.5e-31
relative error = 1.6028237493931627529751791927701e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.94
Order of pole = 0.1339
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 0.9359212220890239448093317241471
y[1] (numeric) = 0.93592122208902394480933172414694
absolute error = 1.6e-31
relative error = 1.7095455923402594962618172450229e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.941
Order of pole = 0.1338
TOP MAIN SOLVE Loop
memory used=1735.7MB, alloc=4.3MB, time=65.44
x[1] = 0.953
y[1] (analytic) = 0.93599396494962899001684887603073
y[1] (numeric) = 0.93599396494962899001684887603057
absolute error = 1.6e-31
relative error = 1.7094127311879674841151296726885e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.942
Order of pole = 0.1337
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 0.93606660297250035996532533628781
y[1] (numeric) = 0.93606660297250035996532533628765
absolute error = 1.6e-31
relative error = 1.7092800821214690713378431980768e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.943
Order of pole = 0.1336
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.3MB, time=65.58
x[1] = 0.955
y[1] (analytic) = 0.93613913634711348443975672149336
y[1] (numeric) = 0.9361391363471134844397567214932
absolute error = 1.6e-31
relative error = 1.7091476447008960488816361906368e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.944
Order of pole = 0.1335
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 0.93621156526252150541489706470639
y[1] (numeric) = 0.93621156526252150541489706470623
absolute error = 1.6e-31
relative error = 1.7090154184875367348846855485564e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.945
Order of pole = 0.1334
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.3MB, time=65.73
x[1] = 0.957
y[1] (analytic) = 0.93628388990735641728282308207116
y[1] (numeric) = 0.936283889907356417282823082071
absolute error = 1.6e-31
relative error = 1.7088834030438322300983968151990e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.946
Order of pole = 0.1333
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 0.93635611046983020341230879234236
y[1] (numeric) = 0.93635611046983020341230879234219
absolute error = 1.7e-31
relative error = 1.8155485728042084808251764499169e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.947
Order of pole = 0.1332
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.3MB, time=65.87
x[1] = 0.959
y[1] (analytic) = 0.93642822713773596905385986039975
y[1] (numeric) = 0.93642822713773596905385986039958
absolute error = 1.7e-31
relative error = 1.8154087528909494482717102721564e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.948
Order of pole = 0.1331
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 0.93650024009844907060419650121036
y[1] (numeric) = 0.9365002400984490706041965012102
absolute error = 1.6e-31
memory used=1751.0MB, alloc=4.3MB, time=66.01
relative error = 1.7084886169722720877479227901126e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.949
Order of pole = 0.133
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 0.9365721495389282412439135486153
y[1] (numeric) = 0.93657214953892824124391354861514
absolute error = 1.6e-31
relative error = 1.7083574402545232308714271593581e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.95
Order of pole = 0.1329
TOP MAIN SOLVE Loop
memory used=1754.8MB, alloc=4.3MB, time=66.16
x[1] = 0.962
y[1] (analytic) = 0.93664395564571671296198636205467
y[1] (numeric) = 0.93664395564571671296198636205451
absolute error = 1.6e-31
relative error = 1.7082264721357963789109420721268e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.951
Order of pole = 0.1328
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 0.93671565860494333498073161219997
y[1] (numeric) = 0.93671565860494333498073161219982
absolute error = 1.5e-31
relative error = 1.6013397301737857820580224936806e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.952
Order of pole = 0.1327
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.3MB, time=66.30
x[1] = 0.964
y[1] (analytic) = 0.93678725860232368859477265175079
y[1] (numeric) = 0.93678725860232368859477265175064
absolute error = 1.5e-31
relative error = 1.6012173374753020680496650901488e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.953
Order of pole = 0.1326
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 0.93685875582316119843750013869519
y[1] (numeric) = 0.93685875582316119843750013869504
absolute error = 1.5e-31
relative error = 1.6010951391301676061736277523795e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.954
Order of pole = 0.1325
TOP MAIN SOLVE Loop
memory used=1762.4MB, alloc=4.3MB, time=66.45
x[1] = 0.966
y[1] (analytic) = 0.93693015045234824018845983446514
y[1] (numeric) = 0.93693015045234824018845983446499
absolute error = 1.5e-31
relative error = 1.6009731347377417835389121704386e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.955
Order of pole = 0.1324
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 0.93700144267436724473504104698264
y[1] (numeric) = 0.93700144267436724473504104698249
absolute error = 1.5e-31
relative error = 1.6008513238984303542535772884053e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.956
Order of pole = 0.1323
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.3MB, time=66.59
x[1] = 0.968
y[1] (analytic) = 0.93707263267329179880178102694524
y[1] (numeric) = 0.93707263267329179880178102694509
absolute error = 1.5e-31
relative error = 1.6007297062136820752950380858145e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.957
Order of pole = 0.1322
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 0.93714372063278774206054275320503
y[1] (numeric) = 0.93714372063278774206054275320488
absolute error = 1.5e-31
relative error = 1.6006082812859853553323018998648e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.958
Order of pole = 0.1321
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.3MB, time=66.73
x[1] = 0.97
y[1] (analytic) = 0.93721470673611426073476595812931
y[1] (numeric) = 0.93721470673611426073476595812916
absolute error = 1.5e-31
relative error = 1.6004870487188649164418312106255e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.959
Order of pole = 0.132
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 0.93728559116612497771093394477889
y[1] (numeric) = 0.93728559116612497771093394477874
absolute error = 1.5e-31
relative error = 1.6003660081168784686590228738955e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.96
Order of pole = 0.1319
TOP MAIN SOLVE Loop
memory used=1773.8MB, alloc=4.3MB, time=66.88
x[1] = 0.972
y[1] (analytic) = 0.93735637410526903917034173299762
y[1] (numeric) = 0.93735637410526903917034173299747
absolute error = 1.5e-31
relative error = 1.6002451590856133973075930940650e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.961
Order of pole = 0.1318
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 0.93742705573559219775419433947933
y[1] (numeric) = 0.93742705573559219775419433947918
absolute error = 1.5e-31
relative error = 1.6001245012316834630494549937176e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.962
Order of pole = 0.1317
TOP MAIN SOLVE Loop
memory used=1777.7MB, alloc=4.3MB, time=67.02
x[1] = 0.974
y[1] (analytic) = 0.9374976362387378922750075459825
y[1] (numeric) = 0.93749763623873789227500754598236
absolute error = 1.4e-31
relative error = 1.4933370985518771469581067044897e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.963
Order of pole = 0.1315
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 0.93756811579594832398722733852374
y[1] (numeric) = 0.93756811579594832398722733852359
absolute error = 1.5e-31
relative error = 1.5998837574873962140377601321782e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.964
Order of pole = 0.1314
TOP MAIN SOLVE Loop
memory used=1781.5MB, alloc=4.3MB, time=67.17
x[1] = 0.976
y[1] (analytic) = 0.93763849458806552942992830703394
y[1] (numeric) = 0.9376384945880655294299283070338
absolute error = 1.4e-31
relative error = 1.4931127594276775230482182393161e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.965
Order of pole = 0.1313
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.3MB, time=67.31
x[1] = 0.977
y[1] (analytic) = 0.93770877279553244985439567805255
y[1] (numeric) = 0.93770877279553244985439567805241
absolute error = 1.4e-31
relative error = 1.4930008555068410640653941901873e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.966
Order of pole = 0.1312
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 0.93777895059839399724934031101803
y[1] (numeric) = 0.93777895059839399724934031101789
absolute error = 1.4e-31
relative error = 1.4928891281966438968675159716773e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.967
Order of pole = 0.1311
TOP MAIN SOLVE Loop
memory used=1789.1MB, alloc=4.3MB, time=67.46
x[1] = 0.979
y[1] (analytic) = 0.93784902817629811697644092005462
y[1] (numeric) = 0.93784902817629811697644092005448
absolute error = 1.4e-31
relative error = 1.4927775771356092124524100999305e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.968
Order of pole = 0.131
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 0.93791900570849684702885298632768
y[1] (numeric) = 0.93791900570849684702885298632754
absolute error = 1.4e-31
relative error = 1.4926662019631969204446837009213e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.969
Order of pole = 0.1309
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.3MB, time=67.60
x[1] = 0.981
y[1] (analytic) = 0.93798888337384737392526929952891
y[1] (numeric) = 0.93798888337384737392526929952877
absolute error = 1.4e-31
relative error = 1.4925550023198006622256719166665e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.97
Order of pole = 0.1307
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 0.93805866135081308525206280934981
y[1] (numeric) = 0.93805866135081308525206280934967
absolute error = 1.4e-31
relative error = 1.4924439778467448354658090675730e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.971
Order of pole = 0.1306
TOP MAIN SOLVE Loop
memory used=1796.7MB, alloc=4.3MB, time=67.75
x[1] = 0.983
y[1] (analytic) = 0.93812833981746461886598847741108
y[1] (numeric) = 0.93812833981746461886598847741094
absolute error = 1.4e-31
relative error = 1.4923331281862816300085280346877e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.972
Order of pole = 0.1305
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 0.93819791895148090876986709554794
y[1] (numeric) = 0.93819791895148090876986709554781
absolute error = 1.3e-31
relative error = 1.3856351349114746411225490611697e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.973
Order of pole = 0.1304
TOP MAIN SOLVE Loop
memory used=1800.6MB, alloc=4.3MB, time=67.89
x[1] = 0.985
y[1] (analytic) = 0.93826739893015022767362057612919
y[1] (numeric) = 0.93826739893015022767362057612905
absolute error = 1.4e-31
relative error = 1.4921119518767630975997083680722e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.974
Order of pole = 0.1303
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 0.93833677993037122625297502274009
y[1] (numeric) = 0.93833677993037122625297502273996
absolute error = 1.3e-31
relative error = 1.3854300799084799783466553310701e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.975
Order of pole = 0.1301
TOP MAIN SOLVE Loop
memory used=1804.4MB, alloc=4.3MB, time=68.03
x[1] = 0.987
y[1] (analytic) = 0.93840606212865396911809495362755
y[1] (numeric) = 0.93840606212865396911809495362742
absolute error = 1.3e-31
relative error = 1.3853277940800131795845020652406e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.975
Order of pole = 0.13
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 0.93847524570112096750435937433651
y[1] (numeric) = 0.93847524570112096750435937433637
absolute error = 1.4e-31
relative error = 1.4917814896162559074162432707782e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.976
Order of pole = 0.1299
TOP MAIN SOLVE Loop
memory used=1808.2MB, alloc=4.3MB, time=68.18
x[1] = 0.989
y[1] (analytic) = 0.93854433082350820869743797851968
y[1] (numeric) = 0.93854433082350820869743797851955
absolute error = 1.3e-31
relative error = 1.3851237041294994127639723341037e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.977
Order of pole = 0.1298
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 0.93861331767116618220477359554288
y[1] (numeric) = 0.93861331767116618220477359554274
absolute error = 1.4e-31
relative error = 1.4915620454582938720740672579039e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.978
Order of pole = 0.1296
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.3MB, time=68.33
x[1] = 0.991
y[1] (analytic) = 0.93868220641906090268552509881173
y[1] (numeric) = 0.93868220641906090268552509881161
absolute error = 1.2e-31
relative error = 1.2783879270257282381235648322613e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.979
Order of pole = 0.1295
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 0.93875099724177492965097333829785
y[1] (numeric) = 0.93875099724177492965097333829772
absolute error = 1.3e-31
relative error = 1.3848187685761632694683045942100e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.98
Order of pole = 0.1294
TOP MAIN SOLVE Loop
memory used=1815.8MB, alloc=4.3MB, time=68.47
x[1] = 0.993
y[1] (analytic) = 0.9388196903135083839473412631337
y[1] (numeric) = 0.93881969031350838394734126313358
absolute error = 1.2e-31
relative error = 1.2782007156233305665804628751660e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.981
Order of pole = 0.1292
TOP MAIN SOLVE Loop
memory used=1819.6MB, alloc=4.3MB, time=68.62
x[1] = 0.994
y[1] (analytic) = 0.93888828580807996103292825398181
y[1] (numeric) = 0.93888828580807996103292825398168
absolute error = 1.3e-31
relative error = 1.3846162740023104402230928562677e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.982
Order of pole = 0.1291
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 0.93895678389892794106140778877059
y[1] (numeric) = 0.93895678389892794106140778877047
absolute error = 1.2e-31
relative error = 1.2780140902940337192968722233782e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.983
Order of pole = 0.129
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.3MB, time=68.76
x[1] = 0.996
y[1] (analytic) = 0.93902518475911119578308691795041
y[1] (numeric) = 0.93902518475911119578308691795029
absolute error = 1.2e-31
relative error = 1.2779209966640424673701237968099e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.984
Order of pole = 0.1288
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 0.93909348856131019227587562528245
y[1] (numeric) = 0.93909348856131019227587562528233
absolute error = 1.2e-31
relative error = 1.2778280486625439067145576081190e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.985
Order of pole = 0.1287
TOP MAIN SOLVE Loop
memory used=1827.3MB, alloc=4.3MB, time=68.91
x[1] = 0.998
y[1] (analytic) = 0.93916169547782799351766399596911
y[1] (numeric) = 0.939161695477827993517663995969
absolute error = 1.1e-31
relative error = 1.1712573088283168003670192947087e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.986
Order of pole = 0.1286
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 0.93922980568059125581175520430991
y[1] (numeric) = 0.9392298056805912558117552043098
absolute error = 1.1e-31
relative error = 1.1711723726685934164040386676050e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.987
Order of pole = 0.1284
Finished!
diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;
Iterations = 900
Total Elapsed Time = 1 Minutes 8 Seconds
Elapsed Time(since restart) = 1 Minutes 8 Seconds
Time to Timeout = 1 Minutes 51 Seconds
Percent Done = 100.1 %
> quit
memory used=1830.0MB, alloc=4.3MB, time=69.00