|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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 sin 1 $eq_no = 1
> array_tmp1[1] := sin(array_x[1]);
> array_tmp1_g[1] := cos(array_x[1]);
> if (glob_iter < 2) then # if number 1
> fi;# end if 1;
> #emit pre expt CONST FULL $eq_no = 1 i = 1
> array_tmp2[1] := expt(array_const_2D0[1] , array_tmp1[1]);
> array_tmp2_c1[1] := ln(array_const_2D0[1]);
> #emit pre cos 1 $eq_no = 1
> array_tmp3[1] := cos(array_x[1]);
> array_tmp3_g[1] := sin(array_x[1]);
> # emit pre mult FULL FULL $eq_no = 1 i = 1
> array_tmp4[1] := (array_tmp2[1] * (array_tmp3[1]));
> #emit pre ln ID_CONST $eq_no = 1
> array_tmp5[1] := ln(array_const_2D0[1]);
> #emit pre mult FULL CONST $eq_no = 1 i = 1
> array_tmp6[1] := array_tmp4[1] * array_tmp5[1];
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp7[1] := array_const_0D0[1] + array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp1[2] := array_tmp1_g[1] * array_x[2] / 1;
> array_tmp1_g[2] := -array_tmp1[1] * array_x[2] / 1;
> #emit pre expt CONST FULL $eq_no = 1 iii = 2
> array_tmp2[2] := att(1,array_tmp2,array_tmp1,1) * array_tmp2_c1[1];
> #emit pre cos ID_LINEAR iii = 2 $eq_no = 1
> array_tmp3[2] := -array_tmp3_g[1] * array_x[2] / 1;
> array_tmp3_g[2] := array_tmp3[1] * array_x[2] / 1;
> # emit pre mult FULL FULL $eq_no = 1 i = 2
> array_tmp4[2] := ats(2,array_tmp2,array_tmp3,1);
> #emit pre mult FULL CONST $eq_no = 1 i = 2
> array_tmp6[2] := array_tmp4[2] * array_tmp5[1];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp7[2] := array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 3 $eq_no = 1
> array_tmp1[3] := array_tmp1_g[2] * array_x[2] / 2;
> array_tmp1_g[3] := -array_tmp1[2] * array_x[2] / 2;
> #emit pre expt CONST FULL $eq_no = 1 iii = 3
> array_tmp2[3] := att(2,array_tmp2,array_tmp1,1) * array_tmp2_c1[1];
> #emit pre cos ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := -array_tmp3_g[2] * array_x[2] / 2;
> array_tmp3_g[3] := array_tmp3[2] * array_x[2] / 2;
> # emit pre mult FULL FULL $eq_no = 1 i = 3
> array_tmp4[3] := ats(3,array_tmp2,array_tmp3,1);
> #emit pre mult FULL CONST $eq_no = 1 i = 3
> array_tmp6[3] := array_tmp4[3] * array_tmp5[1];
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp7[3] := array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 4 $eq_no = 1
> array_tmp1[4] := array_tmp1_g[3] * array_x[2] / 3;
> array_tmp1_g[4] := -array_tmp1[3] * array_x[2] / 3;
> #emit pre expt CONST FULL $eq_no = 1 iii = 4
> array_tmp2[4] := att(3,array_tmp2,array_tmp1,1) * array_tmp2_c1[1];
> #emit pre cos ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := -array_tmp3_g[3] * array_x[2] / 3;
> array_tmp3_g[4] := array_tmp3[3] * array_x[2] / 3;
> # emit pre mult FULL FULL $eq_no = 1 i = 4
> array_tmp4[4] := ats(4,array_tmp2,array_tmp3,1);
> #emit pre mult FULL CONST $eq_no = 1 i = 4
> array_tmp6[4] := array_tmp4[4] * array_tmp5[1];
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp7[4] := array_tmp6[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_tmp7[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 sin ID_LINEAR iii = 5 $eq_no = 1
> array_tmp1[5] := array_tmp1_g[4] * array_x[2] / 4;
> array_tmp1_g[5] := -array_tmp1[4] * array_x[2] / 4;
> #emit pre expt CONST FULL $eq_no = 1 iii = 5
> array_tmp2[5] := att(4,array_tmp2,array_tmp1,1) * array_tmp2_c1[1];
> #emit pre cos ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := -array_tmp3_g[4] * array_x[2] / 4;
> array_tmp3_g[5] := array_tmp3[4] * array_x[2] / 4;
> # emit pre mult FULL FULL $eq_no = 1 i = 5
> array_tmp4[5] := ats(5,array_tmp2,array_tmp3,1);
> #emit pre mult FULL CONST $eq_no = 1 i = 5
> array_tmp6[5] := array_tmp4[5] * array_tmp5[1];
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp7[5] := array_tmp6[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_tmp7[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 sin LINEAR $eq_no = 1
> array_tmp1[kkk] := array_tmp1_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp1_g[kkk] := -array_tmp1[kkk - 1] * array_x[2] / (kkk - 1);
> #emit expt CONST FULL $eq_no = 1 i = 1
> array_tmp2[kkk] := att(kkk-1,array_tmp2,array_tmp1,1) * array_tmp2_c1[1];
> #emit cos LINEAR $eq_no = 1
> array_tmp3[kkk] := -array_tmp3_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp3_g[kkk] := array_tmp3[kkk - 1] * array_x[2] / (kkk - 1);
> #emit mult FULL FULL $eq_no = 1
> array_tmp4[kkk] := ats(kkk,array_tmp2,array_tmp3,1);
> #emit mult FULL CONST $eq_no = 1 i = 1
> array_tmp6[kkk] := array_tmp4[kkk] * array_tmp5[1];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp7[kkk] := array_tmp6[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_tmp7[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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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] := sin(array_x[1]);
array_tmp1_g[1] := cos(array_x[1]);
if glob_iter < 2 then end if;
array_tmp2[1] := expt(array_const_2D0[1], array_tmp1[1]);
array_tmp2_c1[1] := ln(array_const_2D0[1]);
array_tmp3[1] := cos(array_x[1]);
array_tmp3_g[1] := sin(array_x[1]);
array_tmp4[1] := array_tmp2[1]*array_tmp3[1];
array_tmp5[1] := ln(array_const_2D0[1]);
array_tmp6[1] := array_tmp4[1]*array_tmp5[1];
array_tmp7[1] := array_const_0D0[1] + array_tmp6[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp7[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_tmp1_g[1]*array_x[2];
array_tmp1_g[2] := -array_tmp1[1]*array_x[2];
array_tmp2[2] := att(1, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[2] := -array_tmp3_g[1]*array_x[2];
array_tmp3_g[2] := array_tmp3[1]*array_x[2];
array_tmp4[2] := ats(2, array_tmp2, array_tmp3, 1);
array_tmp6[2] := array_tmp4[2]*array_tmp5[1];
array_tmp7[2] := array_tmp6[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp7[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := 1/2*array_tmp1_g[2]*array_x[2];
array_tmp1_g[3] := -1/2*array_tmp1[2]*array_x[2];
array_tmp2[3] := att(2, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[3] := -1/2*array_tmp3_g[2]*array_x[2];
array_tmp3_g[3] := 1/2*array_tmp3[2]*array_x[2];
array_tmp4[3] := ats(3, array_tmp2, array_tmp3, 1);
array_tmp6[3] := array_tmp4[3]*array_tmp5[1];
array_tmp7[3] := array_tmp6[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp7[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := 1/3*array_tmp1_g[3]*array_x[2];
array_tmp1_g[4] := -1/3*array_tmp1[3]*array_x[2];
array_tmp2[4] := att(3, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[4] := -1/3*array_tmp3_g[3]*array_x[2];
array_tmp3_g[4] := 1/3*array_tmp3[3]*array_x[2];
array_tmp4[4] := ats(4, array_tmp2, array_tmp3, 1);
array_tmp6[4] := array_tmp4[4]*array_tmp5[1];
array_tmp7[4] := array_tmp6[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp7[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := 1/4*array_tmp1_g[4]*array_x[2];
array_tmp1_g[5] := -1/4*array_tmp1[4]*array_x[2];
array_tmp2[5] := att(4, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[5] := -1/4*array_tmp3_g[4]*array_x[2];
array_tmp3_g[5] := 1/4*array_tmp3[4]*array_x[2];
array_tmp4[5] := ats(5, array_tmp2, array_tmp3, 1);
array_tmp6[5] := array_tmp4[5]*array_tmp5[1];
array_tmp7[5] := array_tmp6[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp7[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_tmp1_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp1_g[kkk] := -array_tmp1[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp2[kkk] :=
att(kkk - 1, array_tmp2, array_tmp1, 1)*array_tmp2_c1[1];
array_tmp3[kkk] := -array_tmp3_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp3_g[kkk] := array_tmp3[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp4[kkk] := ats(kkk, array_tmp2, array_tmp3, 1);
array_tmp6[kkk] := array_tmp4[kkk]*array_tmp5[1];
array_tmp7[kkk] := array_tmp6[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_tmp7[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
> ## Comment 5
> exact_soln_y := proc(x)
> ## Comment 6
> return(expt(2.0,sin(x)));
> ## Comment 7
> end;
exact_soln_y := proc(x) return expt(2.0, sin(x)) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,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_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_g,
> array_tmp1,
> array_tmp2_c1,
> array_tmp2_a1,
> array_tmp2_a2,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> 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/expt_c_sin_newpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"## Comment 1");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"## Comment 2");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"## Comment 3");
> 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,"## Comment 4");
> 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,"## Comment 5");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"## Comment 6");
> omniout_str(ALWAYS,"return(expt(2.0,sin(x)));");
> omniout_str(ALWAYS,"## Comment 7");
> 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
> ## Comment 1
> Digits:=32;
> max_terms:=30;
> ## Comment 2
> #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_g:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2_c1:= Array(0..(max_terms + 1),[]);
> array_tmp2_a1:= Array(0..(max_terms + 1),[]);
> array_tmp2_a2:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3_g:= Array(0..(max_terms + 1),[]);
> array_tmp3:= 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_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_g[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_c1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[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_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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1_g[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_c1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2_c1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_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_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_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
> ## Comment 3
> 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;
> ## Comment 4
> #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 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;");
> 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,"2013-01-28T13:58:12-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"expt_c_sin_new")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;")
> ;
> 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,"expt_c_sin_new diffeq.mxt")
> ;
> logitem_str(html_log_file,"expt_c_sin_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_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_g, array_tmp1, array_tmp2_c1,
array_tmp2_a1, array_tmp2_a2, array_tmp2, array_tmp3_g, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, 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/expt_c_sin_newpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * \
cos ( x ) * ln ( 2.0 ) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "## Comment 1");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "## Comment 2");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "## Comment 3");
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, "## Comment 4");
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, "## Comment 5");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "## Comment 6");
omniout_str(ALWAYS, "return(expt(2.0,sin(x)));");
omniout_str(ALWAYS, "## Comment 7");
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_g := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2_c1 := Array(0 .. max_terms + 1, []);
array_tmp2_a1 := Array(0 .. max_terms + 1, []);
array_tmp2_a2 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3_g := Array(0 .. max_terms + 1, []);
array_tmp3 := 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_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_g[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_c1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[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_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_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_g[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_c1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_c1[term] := 0.; term := term + 1
end do;
array_tmp2_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_a1[term] := 0.; term := term + 1
end do;
array_tmp2_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_a2[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_g[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 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 ) = expt ( 2.0 , sin ( x ) ) \
* cos ( x ) * ln ( 2.0 ) ;");
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, "2013-01-28T13:58:12-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"expt_c_sin_new");
logitem_str(html_log_file, "diff ( y , x , 1 ) = expt ( 2.0 ,\
sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;");
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, "expt_c_sin_new diffeq.mxt");
logitem_str(html_log_file, "expt_c_sin_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/expt_c_sin_newpostode.ode#################
diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;
!
#BEGIN FIRST INPUT BLOCK
## Comment 1
Digits:=32;
max_terms:=30;
## Comment 2
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
## Comment 3
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;
## Comment 4
#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
## Comment 5
exact_soln_y := proc(x)
## Comment 6
return(expt(2.0,sin(x)));
## Comment 7
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 0.9
estimated_steps = 900
step_error = 1.1111111111111111111111111111111e-13
est_needed_step_err = 1.1111111111111111111111111111111e-13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 2.5174200972486385826292771130856e-90
max_value3 = 2.5174200972486385826292771130856e-90
value3 = 2.5174200972486385826292771130856e-90
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 1.0716497154484684784339950803877
y[1] (numeric) = 1.0716497154484684784339950803877
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.53
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 1.0723890331703297369661467986374
y[1] (numeric) = 1.0723890331703297369661467986374
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.54
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 1.0731287859384434715820657264322
y[1] (numeric) = 1.0731287859384434715820657264323
absolute error = 1e-31
relative error = 9.3185460412890437030960773661299e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.54
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.15
x[1] = 0.103
y[1] (analytic) = 1.0738689732089573384619701038327
y[1] (numeric) = 1.0738689732089573384619701038328
absolute error = 1e-31
relative error = 9.3121230331460219547319010235752e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.54
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 1.0746095944360963349326288173949
y[1] (numeric) = 1.074609594436096334932628817395
absolute error = 1e-31
relative error = 9.3057051153982309460109061501267e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.55
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 1.0753506490721607816579558496064
y[1] (numeric) = 1.0753506490721607816579558496065
absolute error = 1e-31
relative error = 9.2992922900341838167108699254255e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.55
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 1.0760921365675243106810269940089
y[1] (numeric) = 1.076092136567524310681026994009
absolute error = 1e-31
relative error = 9.2928845590281891033159334152818e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.55
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 1.0768340563706318593449831868632
y[1] (numeric) = 1.0768340563706318593449831868633
absolute error = 1e-31
relative error = 9.2864819243403776018838582977036e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.56
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 1.0775764079279976701203076283385
y[1] (numeric) = 1.0775764079279976701203076283386
absolute error = 1e-31
relative error = 9.2800843879167292398722999954158e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.56
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 1.0783191906842032963659864682401
y[1] (numeric) = 1.0783191906842032963659864682402
absolute error = 1e-31
relative error = 9.2736919516890999567313638157414e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.56
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.9MB, time=0.29
x[1] = 0.11
y[1] (analytic) = 1.0790624040818956140520852122988
y[1] (numeric) = 1.079062404081895614052085212299
absolute error = 2e-31
relative error = 1.8534609235150497186140404715321e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.57
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 1.0798060475617848394712951640979
y[1] (numeric) = 1.0798060475617848394712951640981
absolute error = 2e-31
relative error = 1.8521844774957727576411808989499e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.57
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 1.0805501205626425529670261538775
y[1] (numeric) = 1.0805501205626425529670261538776
absolute error = 1e-31
relative error = 9.2545452632895908859034186744389e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.57
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 1.0812946225212997287056435178028
y[1] (numeric) = 1.081294622521299728705643517803
absolute error = 2e-31
relative error = 1.8496346493766117696231492163084e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.57
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 1.0820395528726447705204687788798
y[1] (numeric) = 1.08203955287264477052046877888
absolute error = 2e-31
relative error = 1.8483612680241814353068264780502e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.58
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 1.082784911049621553855184742615
y[1] (numeric) = 1.0827849110496215538551847426151
absolute error = 1e-31
relative error = 9.2354445448508128417584803667958e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.58
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 1.083530696483227473834306755824
y[1] (numeric) = 1.0835306964832274738343067558241
absolute error = 1e-31
relative error = 9.2290878629065172198986994776207e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.58
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.1MB, time=0.44
x[1] = 0.117
y[1] (analytic) = 1.0842769086025114994884026847589
y[1] (numeric) = 1.0842769086025114994884026847591
absolute error = 2e-31
relative error = 1.8445472592215706072836405796652e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.59
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 1.0850235468345722341617647480157
y[1] (numeric) = 1.0850235468345722341617647480158
absolute error = 1e-31
relative error = 9.2163898462607713170312568998270e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.59
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 1.0857706106045559821302566895818
y[1] (numeric) = 1.085770610604555982130256689582
absolute error = 2e-31
relative error = 1.8420097030314736690932765006227e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.59
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 1.0865180993356548214570798969517
y[1] (numeric) = 1.0865180993356548214570798969519
absolute error = 2e-31
relative error = 1.8407424609151825255817009071690e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.6
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 1.0872660124491046831142219575455
y[1] (numeric) = 1.0872660124491046831142219575457
absolute error = 2e-31
relative error = 1.8394762432561743727866077571767e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.6
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 1.0880143493641834363973708027973
y[1] (numeric) = 1.0880143493641834363973708027975
absolute error = 2e-31
relative error = 1.8382110504045879847491207643435e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.6
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 1.0887631094982089806620970122912
y[1] (numeric) = 1.0887631094982089806620970122914
absolute error = 2e-31
relative error = 1.8369468827078127663083080461795e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.6
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 1.0895122922665373434091260392996
y[1] (numeric) = 1.0895122922665373434091260392998
absolute error = 2e-31
relative error = 1.8356837405104941509599833016151e-29 %
Correct digits = 30
h = 0.001
memory used=15.2MB, alloc=4.2MB, time=0.60
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.61
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 1.0902618970825607847465410730894
y[1] (numeric) = 1.0902618970825607847465410730896
absolute error = 2e-31
relative error = 1.8344216241545389998654395194532e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.61
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 1.0910119233577059082567759714781
y[1] (numeric) = 1.0910119233577059082567759714783
absolute error = 2e-31
relative error = 1.8331605339791210019732498303408e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.61
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 1.0917623705014317782962761784248
y[1] (numeric) = 1.091762370501431778296276178425
absolute error = 2e-31
relative error = 1.8319004703206860752173695824694e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.61
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 1.0925132379212280437557237849985
y[1] (numeric) = 1.0925132379212280437557237849987
absolute error = 2e-31
relative error = 1.8306414335129577687548732431869e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.62
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 1.0932645250226130683087408969578
y[1] (numeric) = 1.093264525022613068308740896958
absolute error = 2e-31
relative error = 1.8293834238869426662067593037526e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.62
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 1.0940162312091320671770032374777
y[1] (numeric) = 1.0940162312091320671770032374778
absolute error = 1e-31
relative error = 9.1406322088546789493267799562890e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.62
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 1.0947683558823552504397134383437
y[1] (numeric) = 1.0947683558823552504397134383438
absolute error = 1e-31
relative error = 9.1343524374526300291598013445938e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.63
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.3MB, time=0.75
x[1] = 0.132
y[1] (analytic) = 1.0955208984418759729154007562858
y[1] (numeric) = 1.0955208984418759729154007562859
absolute error = 1e-31
relative error = 9.1280778068430071502422116609080e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 1.0962738582853088906440309921105
y[1] (numeric) = 1.0962738582853088906440309921106
absolute error = 1e-31
relative error = 9.1218083186267741759332379102456e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 1.0970272348082881239974271880028
y[1] (numeric) = 1.0970272348082881239974271880029
absolute error = 1e-31
relative error = 9.1155439743914452917976393869020e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 1.0977810274044654274460182318726
y[1] (numeric) = 1.0977810274044654274460182318727
absolute error = 1e-31
relative error = 9.1092847757111120480901686667041e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 1.0985352354655083660099488060091
y[1] (numeric) = 1.0985352354655083660099488060093
absolute error = 2e-31
relative error = 1.8206061448292940811978990423318e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 1.0992898583810984984226001796472
y[1] (numeric) = 1.0992898583810984984226001796474
absolute error = 2e-31
relative error = 1.8193563642489695574805498453189e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 1.1000448955389295670345871604335
y[1] (numeric) = 1.1000448955389295670345871604337
absolute error = 2e-31
relative error = 1.8181076137080460256324686741709e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 1.1008003463247056944863120872845
y[1] (numeric) = 1.1008003463247056944863120872847
absolute error = 2e-31
relative error = 1.8168598935106577868874460181134e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.64
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.3MB, time=0.91
x[1] = 0.14
y[1] (analytic) = 1.1015562101221395871771720658359
y[1] (numeric) = 1.1015562101221395871771720658362
absolute error = 3e-31
relative error = 2.7234198059374225026543758075904e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 1.1023124863129507455595307166781
y[1] (numeric) = 1.1023124863129507455595307166784
absolute error = 3e-31
relative error = 2.7215513180246136538325246451444e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 1.1030691742768636812855805249369
y[1] (numeric) = 1.1030691742768636812855805249372
absolute error = 3e-31
relative error = 2.7196843769718273094056197111926e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 1.1038262733916061412352364465844
y[1] (numeric) = 1.1038262733916061412352364465846
absolute error = 2e-31
relative error = 1.8118793221462458615264295010570e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.428
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 1.1045837830329073384532157412235
y[1] (numeric) = 1.1045837830329073384532157412238
absolute error = 3e-31
relative error = 2.7159551372035896937265568007146e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 1.1053417025744961900234730620875
y[1] (numeric) = 1.1053417025744961900234730620878
absolute error = 3e-31
relative error = 2.7140928393568959948816561803662e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 1.106100031388099561909173640697
y[1] (numeric) = 1.1061000313880995619091736406974
absolute error = 4e-31
relative error = 3.6163094534770082520480192826991e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.66
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.3MB, time=1.07
x[1] = 0.147
y[1] (analytic) = 1.1068587688434405207864009551344
y[1] (numeric) = 1.1068587688434405207864009551347
absolute error = 3e-31
relative error = 2.7103728898807094043218275275725e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 1.107617914308236592899808566293
y[1] (numeric) = 1.1076179143082365928998085662934
absolute error = 4e-31
relative error = 3.6113536521284980359315778159462e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 1.1083774671481980299684388448512
y[1] (numeric) = 1.1083774671481980299684388448516
absolute error = 4e-31
relative error = 3.6088788508952710998251983338239e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 1.1091374267270260821699440921753
y[1] (numeric) = 1.1091374267270260821699440921757
absolute error = 4e-31
relative error = 3.6064061166916647624403008398609e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 1.1098977924064112782314580799853
y[1] (numeric) = 1.1098977924064112782314580799857
absolute error = 4e-31
relative error = 3.6039354500628828956858386130905e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 1.1106585635460317126553782954979
y[1] (numeric) = 1.1106585635460317126553782954983
absolute error = 4e-31
relative error = 3.6014668515489443779466514976634e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 1.1114197395035513401083311799965
y[1] (numeric) = 1.1114197395035513401083311799969
absolute error = 4e-31
relative error = 3.5990003216846939272916380728114e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 1.1121813196346182770016043884598
y[1] (numeric) = 1.1121813196346182770016043884603
absolute error = 5e-31
relative error = 4.4956698262497661686558783330962e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.67
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.3MB, time=1.23
x[1] = 0.155
y[1] (analytic) = 1.1129433032928631102913415751031
y[1] (numeric) = 1.1129433032928631102913415751036
absolute error = 5e-31
relative error = 4.4925918375235378735131875966917e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.427
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 1.1137056898298972135268064235479
y[1] (numeric) = 1.1137056898298972135268064235484
absolute error = 5e-31
relative error = 4.4895164365764165717595023689939e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 1.1144684785953110701750335899352
y[1] (numeric) = 1.1144684785953110701750335899357
absolute error = 5e-31
relative error = 4.4864436240512227793006367102351e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 1.1152316689366726042501949117293
y[1] (numeric) = 1.1152316689366726042501949117298
absolute error = 5e-31
relative error = 4.4833734005843770220561735705878e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 1.1159952601995255182760196533291
y[1] (numeric) = 1.1159952601995255182760196533296
absolute error = 5e-31
relative error = 4.4803057668059133780218837875933e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 1.116759251727387638609617711007
y[1] (numeric) = 1.1167592517273876386096177110075
absolute error = 5e-31
relative error = 4.4772407233394930191299301440110e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 1.1175236428617492681550645832389
y[1] (numeric) = 1.1175236428617492681550645832394
absolute error = 5e-31
relative error = 4.4741782708024177528234558280385e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 1.1182884329420715464951165272725
y[1] (numeric) = 1.118288432942071546495116527273
absolute error = 5e-31
relative error = 4.4711184098056435632624081268734e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.69
memory used=34.3MB, alloc=4.3MB, time=1.38
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 1.1190536213057848174694336679096
y[1] (numeric) = 1.1190536213057848174694336679101
absolute error = 5e-31
relative error = 4.4680611409537941520776996975634e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 1.1198192072882870042276978990587
y[1] (numeric) = 1.1198192072882870042276978990592
absolute error = 5e-31
relative error = 4.4650064648451744785910612929690e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.426
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 1.1205851902229419917860212217532
y[1] (numeric) = 1.1205851902229419917860212217537
absolute error = 5e-31
relative error = 4.4619543820717842994181913724579e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.425
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 1.121351569441078017115048693132
y[1] (numeric) = 1.1213515694410780171150486931325
absolute error = 5e-31
relative error = 4.4589048932193317073730595936607e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.425
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 1.1221183442719860667881684184595
y[1] (numeric) = 1.12211834427198606678816841846
absolute error = 5e-31
relative error = 4.4558579988672466695914727602376e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.425
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 1.1228855140429182822182490017247
y[1] (numeric) = 1.1228855140429182822182490017252
absolute error = 5e-31
relative error = 4.4528136995886945647922633881757e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.425
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 1.1236530780790863725113325788189
y[1] (numeric) = 1.1236530780790863725113325788193
absolute error = 4e-31
relative error = 3.5598175967604717756757701173466e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.425
Order of pole = 10.7
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=1.54
x[1] = 0.17
y[1] (analytic) = 1.1244210357036600349657189898601
y[1] (numeric) = 1.1244210357036600349657189898606
absolute error = 5e-31
relative error = 4.4467328885136089438110710263101e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.425
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 1.125189386237765383244883803029
y[1] (numeric) = 1.1251893862377653832448838030295
absolute error = 5e-31
relative error = 4.4436963778322050646332916835417e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.425
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 1.1259581290004833832526797804082
y[1] (numeric) = 1.1259581290004833832526797804087
absolute error = 5e-31
relative error = 4.4406624644546204596333430049005e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.424
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 1.1267272633088482967392779759101
y[1] (numeric) = 1.1267272633088482967392779759106
absolute error = 5e-31
relative error = 4.4376311489229005884967185215381e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.424
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 1.127496788477846132666310975539
y[1] (numeric) = 1.1274967884778461326663109755395
absolute error = 5e-31
relative error = 4.4346024317729075234090138845727e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.424
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 1.1282667038204131063596868300891
y[1] (numeric) = 1.1282667038204131063596868300895
absolute error = 4e-31
relative error = 3.5452610508274667824125537432603e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.424
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 1.1290370086474341064785479890522
y[1] (numeric) = 1.1290370086474341064785479890527
absolute error = 5e-31
relative error = 4.4285527947307143348754104077416e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.424
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 1.1298077022677411698288550211185
y[1] (numeric) = 1.129807702267741169828855021119
absolute error = 5e-31
relative error = 4.4255318758794431713275315110191e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.424
Order of pole = 10.7
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.3MB, time=1.70
x[1] = 0.178
y[1] (analytic) = 1.1305787839881119640500801003184
y[1] (numeric) = 1.1305787839881119640500801003189
absolute error = 5e-31
relative error = 4.4225135574917837836946978059568e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.423
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 1.1313502531132682782035001467147
y[1] (numeric) = 1.1313502531132682782035001467152
absolute error = 5e-31
relative error = 4.4194978400728842097415932183550e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.423
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 1.1321221089458745212905841357176
y[1] (numeric) = 1.1321221089458745212905841357181
absolute error = 5e-31
relative error = 4.4164847241217902493112731491693e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.423
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 1.1328943507865362287299734297069
y[1] (numeric) = 1.1328943507865362287299734297073
absolute error = 4e-31
relative error = 3.5307793681051671864485538029096e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.423
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 1.1336669779337985768215580388233
y[1] (numeric) = 1.1336669779337985768215580388238
absolute error = 5e-31
relative error = 4.4104662985887722892173118174684e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.423
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 1.1344399896841449052261554836763
y[1] (numeric) = 1.1344399896841449052261554836767
absolute error = 4e-31
relative error = 3.5259687919796402866231358286475e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.423
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 1.1352133853319952474893024104263
y[1] (numeric) = 1.1352133853319952474893024104267
absolute error = 4e-31
relative error = 3.5235666278108521644632382678372e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.422
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 1.1359871641697048696376722973921
y[1] (numeric) = 1.1359871641697048696376722973925
absolute error = 4e-31
relative error = 3.5211665467396433453124969355880e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.422
Order of pole = 10.71
memory used=45.7MB, alloc=4.3MB, time=1.86
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 1.1367613254875628168766354911175
y[1] (numeric) = 1.1367613254875628168766354911179
absolute error = 4e-31
relative error = 3.5187685491361867841925823864533e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.422
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 1.1375358685737904684174804178697
y[1] (numeric) = 1.1375358685737904684174804178701
absolute error = 4e-31
relative error = 3.5163726353658493152877173741703e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.422
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 1.1383107927145401004628171329537
y[1] (numeric) = 1.138310792714540100462817132954
absolute error = 3e-31
relative error = 2.6354841043419018409125122546388e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.422
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 1.1390860971938934573786863941642
y[1] (numeric) = 1.1390860971938934573786863941646
absolute error = 4e-31
relative error = 3.5115870607620332002898548998912e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.421
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 1.1398617812938603310818991763012
y[1] (numeric) = 1.1398617812938603310818991763015
absolute error = 3e-31
relative error = 2.6318980504765161237677868784514e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.421
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 1.1406378442943771486711329800807
y[1] (numeric) = 1.140637844294377148671132980081
absolute error = 3e-31
relative error = 2.6301073693165632788891191620830e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.421
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 1.1414142854733055683303124301458
y[1] (numeric) = 1.1414142854733055683303124301462
absolute error = 4e-31
relative error = 3.5044243364637200486407623259645e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.421
Order of pole = 10.71
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.3MB, time=2.02
x[1] = 0.193
y[1] (analytic) = 1.142191104106431083532802502344
y[1] (numeric) = 1.1421911041064310835328025023444
absolute error = 4e-31
relative error = 3.5020409330970187532770852131871e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.421
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 1.1429682994674616355749432691614
y[1] (numeric) = 1.1429682994674616355749432691618
absolute error = 4e-31
relative error = 3.4996596159873401632768994999095e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.42
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 1.1437458708280262344674553033261
y[1] (numeric) = 1.1437458708280262344674553033266
absolute error = 5e-31
relative error = 4.3716004818274885787664276900889e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.42
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 1.1445238174576735882132448322714
y[1] (numeric) = 1.1445238174576735882132448322719
absolute error = 5e-31
relative error = 4.3686290523044605773015471373692e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.42
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 1.1453021386238707405001373895366
y[1] (numeric) = 1.1453021386238707405001373895371
absolute error = 5e-31
relative error = 4.3656602318124654704933028892647e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.42
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 1.1460808335920017168370680624425
y[1] (numeric) = 1.146080833592001716837068062443
absolute error = 5e-31
relative error = 4.3626940207430182629058257380067e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.419
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 1.1468599016253661791622554876551
y[1] (numeric) = 1.1468599016253661791622554876555
absolute error = 4e-31
relative error = 3.4877843355854305314254538857456e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.419
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 1.1476393419851780889518854967183
y[1] (numeric) = 1.1476393419851780889518854967188
absolute error = 5e-31
relative error = 4.3567694284086120576066981124042e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.419
Order of pole = 10.72
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=2.18
x[1] = 0.201
y[1] (analytic) = 1.1484191539305643788578287614512
y[1] (numeric) = 1.1484191539305643788578287614517
absolute error = 5e-31
relative error = 4.3538110478975079637572911108926e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.419
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 1.149199336718563632902914933425
y[1] (numeric) = 1.1491993367185636329029149334255
absolute error = 5e-31
relative error = 4.3508552783166885026619413738954e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.418
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 1.1499798896041247752622836117407
y[1] (numeric) = 1.1499798896041247752622836117412
absolute error = 5e-31
relative error = 4.3479021200285743508992191211755e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.418
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 1.1507608118401057676593300081713
y[1] (numeric) = 1.1507608118401057676593300081718
absolute error = 5e-31
relative error = 4.3449515733898076956626061707847e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.418
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 1.1515421026772723154047604075931
y[1] (numeric) = 1.1515421026772723154047604075937
absolute error = 6e-31
relative error = 5.2104043665015188220225772529181e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.418
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 1.1523237613642965821072694436795
y[1] (numeric) = 1.1523237613642965821072694436801
absolute error = 6e-31
relative error = 5.2068699797496886492651618276135e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.417
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 1.1531057871477559130843478242338
y[1] (numeric) = 1.1531057871477559130843478242344
absolute error = 6e-31
relative error = 5.2033387282195436030057597569041e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.417
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 1.1538881792721315675017254464843
y[1] (numeric) = 1.1538881792721315675017254464849
absolute error = 6e-31
relative error = 5.1998106123114789161555059568414e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.417
Order of pole = 10.72
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=2.34
x[1] = 0.209
y[1] (analytic) = 1.1546709369798074592699508393171
y[1] (numeric) = 1.1546709369798074592699508393177
absolute error = 6e-31
relative error = 5.1962856324190362897109885876149e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.417
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 1.1554540595110689067266035559746
y[1] (numeric) = 1.1554540595110689067266035559753
absolute error = 7e-31
relative error = 6.0582244204170733444565577966952e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.416
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 1.1562375461041013911326315163712
y[1] (numeric) = 1.1562375461041013911326315163719
absolute error = 7e-31
relative error = 6.0541192625911819011985247205090e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.416
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 1.157021395994989324011300362061
y[1] (numeric) = 1.1570213959949893240113003620617
absolute error = 7e-31
relative error = 6.0500177647797920918872863767701e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.416
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 1.157805608417714823358236638225
y[1] (numeric) = 1.1578056084177148233582366382257
absolute error = 7e-31
relative error = 6.0459199274102407227965235579656e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.416
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 1.158590182604156498751041055006
y[1] (numeric) = 1.1585901826041564987510410550067
absolute error = 7e-31
relative error = 6.0418257509019627686359857710711e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.415
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 1.1593751177840882453869422043088
y[1] (numeric) = 1.1593751177840882453869422043095
absolute error = 7e-31
relative error = 6.0377352356665101455298268865599e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.415
Order of pole = 10.71
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=2.49
x[1] = 0.216
y[1] (analytic) = 1.1601604131851780470769549169878
y[1] (numeric) = 1.1601604131851780470769549169886
absolute error = 8e-31
relative error = 6.8955981509800805459598519892840e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.415
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 1.1609460680329867882250009383611
y[1] (numeric) = 1.1609460680329867882250009383618
absolute error = 7e-31
relative error = 6.0295651906209858578617005362531e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.414
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 1.1617320815509670748204427764138
y[1] (numeric) = 1.1617320815509670748204427764145
absolute error = 7e-31
relative error = 6.0254856615947716009218207445727e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.414
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 1.1625184529604620644724744360905
y[1] (numeric) = 1.1625184529604620644724744360912
absolute error = 7e-31
relative error = 6.0214097954091349914044738828329e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.414
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 1.163305181480704305514805293915
y[1] (numeric) = 1.1633051814807043055148052939157
absolute error = 7e-31
relative error = 6.0173375924364940239870595364456e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.414
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 1.1640922663288145852090655890358
y[1] (numeric) = 1.1640922663288145852090655890365
absolute error = 7e-31
relative error = 6.0132690530414961373634362958725e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.413
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 1.1648797067198007870753539088712
y[1] (numeric) = 1.1648797067198007870753539088718
absolute error = 6e-31
relative error = 5.1507464379266030924869211929503e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.413
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 1.1656675018665567573783386290306
y[1] (numeric) = 1.1656675018665567573783386290312
absolute error = 6e-31
relative error = 5.1472653997750962311551780544662e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.413
Order of pole = 10.71
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=2.65
x[1] = 0.224
y[1] (analytic) = 1.1664556509798611807973165273349
y[1] (numeric) = 1.1664556509798611807973165273355
absolute error = 6e-31
relative error = 5.1437875027308601949878328575100e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.412
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 1.167244153268376465308622729751
y[1] (numeric) = 1.1672441532683764653086227297516
absolute error = 6e-31
relative error = 5.1403127470799684822733240409202e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.412
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 1.1680330079386476363087767611207
y[1] (numeric) = 1.1680330079386476363087767611213
absolute error = 6e-31
relative error = 5.1368411331019143128719731596398e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.412
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 1.168822214195101240006739764913
y[1] (numeric) = 1.1688222141951012400067397649135
absolute error = 5e-31
relative error = 4.2778105508913555410978713578724e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.411
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 1.1696117712400442561136479230812
y[1] (numeric) = 1.1696117712400442561136479230817
absolute error = 5e-31
relative error = 4.2749227760412385096301242524069e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.411
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 1.1704016782736630198583767486938
y[1] (numeric) = 1.1704016782736630198583767486943
absolute error = 5e-31
relative error = 4.2720376199177845710374201804721e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.411
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 1.1711919344940221533572802395412
y[1] (numeric) = 1.1711919344940221533572802395417
absolute error = 5e-31
relative error = 4.2691550827321039362729321363185e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.411
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 1.1719825390970635063664378696446
y[1] (numeric) = 1.1719825390970635063664378696451
absolute error = 5e-31
relative error = 4.2662751646898899518426588912289e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.41
Order of pole = 10.71
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=2.81
x[1] = 0.232
y[1] (analytic) = 1.1727734912766051064447310567217
y[1] (numeric) = 1.1727734912766051064447310567222
absolute error = 5e-31
relative error = 4.2633978659914324235533054022823e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.41
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 1.1735647902243401185560590764439
y[1] (numeric) = 1.1735647902243401185560590764444
absolute error = 5e-31
relative error = 4.2605231868316309346289720242505e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.41
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 1.1743564351298358141389923979753
y[1] (numeric) = 1.1743564351298358141389923979758
absolute error = 5e-31
relative error = 4.2576511274000081581314970162724e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.409
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 1.1751484251805325496721490890614
y[1] (numeric) = 1.1751484251805325496721490890619
absolute error = 5e-31
relative error = 4.2547816878807231636195427855373e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.409
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 1.1759407595617427547635672820694
y[1] (numeric) = 1.1759407595617427547635672820699
absolute error = 5e-31
relative error = 4.2519148684525847179817620918162e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.409
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 1.1767334374566499297923337041197
y[1] (numeric) = 1.1767334374566499297923337041202
absolute error = 5e-31
relative error = 4.2490506692890645803796260470358e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.408
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 1.1775264580463076531307149540348
y[1] (numeric) = 1.1775264580463076531307149540353
absolute error = 5e-31
relative error = 4.2461890905583107912357411809577e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.408
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 1.1783198205096385979750245555105
y[1] (numeric) = 1.178319820509638597975024555511
memory used=72.4MB, alloc=4.4MB, time=2.97
absolute error = 5e-31
relative error = 4.2433301324231609552037281051884e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.408
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 1.1791135240234335588134448289467
y[1] (numeric) = 1.1791135240234335588134448289472
absolute error = 5e-31
relative error = 4.2404737950411555180559793909381e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.407
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 1.1799075677623504875590083030037
y[1] (numeric) = 1.1799075677623504875590083030042
absolute error = 5e-31
relative error = 4.2376200785645510374258591790091e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.407
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 1.1807019508989135393759287304392
y[1] (numeric) = 1.1807019508989135393759287304397
absolute error = 5e-31
relative error = 4.2347689831403334473411517611835e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.407
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 1.181496672603512128227456780386
y[1] (numeric) = 1.1814966726035121282274567803865
absolute error = 5e-31
relative error = 4.2319205089102313164858109083266e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.406
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 1.1822917320443999921734201502163
y[1] (numeric) = 1.1822917320443999921734201502167
absolute error = 4e-31
relative error = 3.3832597248085832801018448559489e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.406
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 1.1830871283876942684455921737657
y[1] (numeric) = 1.1830871283876942684455921737661
absolute error = 4e-31
relative error = 3.3809851396584643085176845843049e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.406
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 1.1838828607973745783290169982331
y[1] (numeric) = 1.1838828607973745783290169982335
absolute error = 4e-31
relative error = 3.3787126517786569052896657412182e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.405
Order of pole = 10.7
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.4MB, time=3.14
x[1] = 0.247
y[1] (analytic) = 1.1846789284352821218774030587907
y[1] (numeric) = 1.1846789284352821218774030587911
absolute error = 4e-31
relative error = 3.3764422612658263202598925661273e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.405
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 1.1854753304611187824906798971207
y[1] (numeric) = 1.185475330461118782490679897121
absolute error = 3e-31
relative error = 2.5306304761593636502748519397682e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.405
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 1.1862720660324462413827963470002
y[1] (numeric) = 1.1862720660324462413827963470006
absolute error = 4e-31
relative error = 3.3719077727070024984354823345679e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.404
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 1.1870691343046851019678207459795
y[1] (numeric) = 1.1870691343046851019678207459799
absolute error = 4e-31
relative error = 3.3696436748336173766085784489365e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.404
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 1.1878665344311140241923861264053
y[1] (numeric) = 1.1878665344311140241923861264058
absolute error = 5e-31
relative error = 4.2092270933405580471133396896047e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.404
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 1.1886642655628688688425052908361
y[1] (numeric) = 1.1886642655628688688425052908365
absolute error = 4e-31
relative error = 3.3651217722994959510358427908151e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.403
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 1.1894623268489418518527622855434
y[1] (numeric) = 1.1894623268489418518527622855439
absolute error = 5e-31
relative error = 4.2035799597333400911537725682257e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.403
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 1.1902607174361807086458680506104
y[1] (numeric) = 1.1902607174361807086458680506108
absolute error = 4e-31
relative error = 3.3606082612017913947065466263397e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.403
Order of pole = 10.69
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=3.30
x[1] = 0.255
y[1] (analytic) = 1.19105943646928786853054894539
y[1] (numeric) = 1.1910594364692878685305489453904
absolute error = 4e-31
relative error = 3.3583546526085914853603174377313e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.402
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 1.1918584830908196391857174230981
y[1] (numeric) = 1.1918584830908196391857174230985
absolute error = 4e-31
relative error = 3.3561031420667414283675874985346e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.402
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 1.1926578564411854012588543573621
y[1] (numeric) = 1.1926578564411854012588543573625
absolute error = 4e-31
relative error = 3.3538537296318523529088848641590e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.402
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 1.1934575556586468131065124059497
y[1] (numeric) = 1.1934575556586468131065124059501
absolute error = 4e-31
relative error = 3.3516064153554879593005433112792e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.401
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 1.1942575798793170257048293319558
y[1] (numeric) = 1.1942575798793170257048293319562
absolute error = 4e-31
relative error = 3.3493611992851750386366187271657e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.401
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 1.1950579282371599077579193897439
y[1] (numeric) = 1.1950579282371599077579193897443
absolute error = 4e-31
relative error = 3.3471180814644139865871300771181e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.401
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 1.1958585998639892810319897212342
y[1] (numeric) = 1.1958585998639892810319897212346
absolute error = 4e-31
relative error = 3.3448770619326893113057604954803e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.4
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 1.1966595938894681659430071970144
y[1] (numeric) = 1.1966595938894681659430071970148
absolute error = 4e-31
relative error = 3.3426381407254801354003465474267e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.4
Order of pole = 10.68
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.4MB, time=3.46
x[1] = 0.263
y[1] (analytic) = 1.1974609094411080374257192755461
y[1] (numeric) = 1.1974609094411080374257192755465
absolute error = 4e-31
relative error = 3.3404013178742706919196760294427e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.4
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 1.1982625456442680911118102417637
y[1] (numeric) = 1.1982625456442680911118102417641
absolute error = 4e-31
relative error = 3.3381665934065608143103068146327e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.399
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 1.1990645016221545198449516229473
y[1] (numeric) = 1.1990645016221545198449516229478
absolute error = 5e-31
relative error = 4.1699174591823455253716390038289e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.399
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 1.1998667764958198005604826642144
y[1] (numeric) = 1.1998667764958198005604826642149
absolute error = 5e-31
relative error = 4.1671292996397249870538025072177e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.399
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 1.2006693693841619915574334776571
y[1] (numeric) = 1.2006693693841619915574334776576
absolute error = 5e-31
relative error = 4.1643437631498512946727602153331e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.398
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 1.2014722794039240401905798573826
y[1] (numeric) = 1.2014722794039240401905798573831
absolute error = 5e-31
relative error = 4.1615608497273082137246739545933e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.398
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 1.2022755056696931010101947768317
y[1] (numeric) = 1.2022755056696931010101947768322
absolute error = 5e-31
relative error = 4.1587805593817644573626355949108e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.397
Order of pole = 10.67
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=3.62
x[1] = 0.27
y[1] (analytic) = 1.203079047293899864377137254096
y[1] (numeric) = 1.2030790472938998643771372540965
absolute error = 5e-31
relative error = 4.1560028921179867524162221593098e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.397
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 1.2038829033868178955808945848747
y[1] (numeric) = 1.2038829033868178955808945848751
absolute error = 4e-31
relative error = 3.3225822783486823179802135427799e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.397
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 1.2046870730565629844881689005499
y[1] (numeric) = 1.2046870730565629844881689005503
absolute error = 4e-31
relative error = 3.3203643414642918503855200855945e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.396
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 1.2054915554090925057495736099731
y[1] (numeric) = 1.2054915554090925057495736099735
absolute error = 4e-31
relative error = 3.3181485030333292666201205200339e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.396
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 1.2062963495482047895919795272901
y[1] (numeric) = 1.2062963495482047895919795272905
absolute error = 4e-31
relative error = 3.3159347630440259924261109071465e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.396
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 1.2071014545755385032240243738556
y[1] (numeric) = 1.207101454575538503224024373856
absolute error = 4e-31
relative error = 3.3137231214807440324433000714626e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.395
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 1.2079068695905720428822728693552
y[1] (numeric) = 1.2079068695905720428822728693556
absolute error = 4e-31
relative error = 3.3115135783239863842655388002496e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.395
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 1.2087125936906229365454877950296
y[1] (numeric) = 1.2087125936906229365454877950301
absolute error = 5e-31
relative error = 4.1366326669380093073534142039214e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.395
Order of pole = 10.67
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=3.78
x[1] = 0.278
y[1] (analytic) = 1.2095186259708472573444452197523
y[1] (numeric) = 1.2095186259708472573444452197528
absolute error = 5e-31
relative error = 4.1338759839160292705811397014377e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.394
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 1.2103249655242390476946995270178
y[1] (numeric) = 1.2103249655242390476946995270183
absolute error = 5e-31
relative error = 4.1311219238002783630561954128574e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.394
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 1.2111316114416297541796759670303
y[1] (numeric) = 1.2111316114416297541796759670308
absolute error = 5e-31
relative error = 4.1283704865472203060708666676989e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.394
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 1.2119385628116876732114401824179
y[1] (numeric) = 1.2119385628116876732114401824185
absolute error = 6e-31
relative error = 4.9507460065302720298280384722394e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.393
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 1.2127458187209174074964655180211
y[1] (numeric) = 1.2127458187209174074964655180217
absolute error = 6e-31
relative error = 4.9474505765175079388813068438429e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.393
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 1.2135533782536593333336899240991
y[1] (numeric) = 1.2135533782536593333336899240997
absolute error = 6e-31
relative error = 4.9441582937490435656068716690476e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.393
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 1.2143612404920890787721248975575
y[1] (numeric) = 1.214361240492089078772124897558
absolute error = 5e-31
relative error = 4.1173909651249053972004368906761e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.392
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 1.2151694045162170126552491768117
y[1] (numeric) = 1.2151694045162170126552491768122
absolute error = 5e-31
relative error = 4.1146526413661632196262315280767e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.392
Order of pole = 10.66
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=3.94
x[1] = 0.286
y[1] (analytic) = 1.2159778694038877445793898120681
y[1] (numeric) = 1.2159778694038877445793898120687
absolute error = 6e-31
relative error = 4.9343003281312980618019018816729e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.392
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 1.2167866342307796357932627735218
y[1] (numeric) = 1.2167866342307796357932627735224
absolute error = 6e-31
relative error = 4.9310206335337020591434507609343e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.391
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 1.2175956980704043210658144346453
y[1] (numeric) = 1.2175956980704043210658144346459
absolute error = 6e-31
relative error = 4.9277440857491149933881838431555e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.391
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 1.2184050599941062415494740757827
y[1] (numeric) = 1.2184050599941062415494740757833
absolute error = 6e-31
relative error = 4.9244706846744576394915556806719e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.391
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 1.2192147190710621886658959940798
y[1] (numeric) = 1.2192147190710621886658959940804
absolute error = 6e-31
relative error = 4.9212004302010798858854346974231e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.39
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 1.2200246743682808590412378787865
y[1] (numeric) = 1.2200246743682808590412378787871
absolute error = 6e-31
relative error = 4.9179333222147761999993889470713e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.39
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 1.2208349249506024205179898155887
y[1] (numeric) = 1.2208349249506024205179898155893
absolute error = 6e-31
relative error = 4.9146693605958010829087570998861e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.39
Order of pole = 10.65
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=4.10
x[1] = 0.293
y[1] (analytic) = 1.2216454698806980892703356192769
y[1] (numeric) = 1.2216454698806980892703356192775
absolute error = 6e-31
relative error = 4.9114085452188845130483021110055e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.389
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 1.2224563082190697180499951601701
y[1] (numeric) = 1.2224563082190697180499951601707
absolute error = 6e-31
relative error = 4.9081508759532473789305239744660e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.389
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 1.2232674390240493955894629457185
y[1] (numeric) = 1.223267439024049395589462945719
absolute error = 5e-31
relative error = 4.0874136272188474173399888149441e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.389
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 1.2240788613517990571895244440334
y[1] (numeric) = 1.2240788613517990571895244440339
absolute error = 5e-31
relative error = 4.0847041460043683676827432836912e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.388
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 1.2248905742563101065178974901871
y[1] (numeric) = 1.2248905742563101065178974901876
absolute error = 5e-31
relative error = 4.0819972861949240869655108645950e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.388
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 1.2257025767894030486458115984179
y[1] (numeric) = 1.2257025767894030486458115984184
absolute error = 5e-31
relative error = 4.0792930476632967701741449945109e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.388
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 1.2265148680007271343493031133278
y[1] (numeric) = 1.2265148680007271343493031133283
absolute error = 5e-31
relative error = 4.0765914302777418678164530379613e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.387
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 1.2273274469377600157019688702064
y[1] (numeric) = 1.2273274469377600157019688702069
absolute error = 5e-31
relative error = 4.0738924339020008904909044682397e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.387
Order of pole = 10.64
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.4MB, time=4.26
x[1] = 0.301
y[1] (analytic) = 1.2281403126458074129858853982222
y[1] (numeric) = 1.2281403126458074129858853982226
absolute error = 4e-31
relative error = 3.2569568467162513631549216755960e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.387
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 1.2289534641680027929473646898377
y[1] (numeric) = 1.2289534641680027929473646898381
absolute error = 4e-31
relative error = 3.2548018428899470516519567808612e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.387
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 1.2297669005453070584241811749023
y[1] (numeric) = 1.2297669005453070584241811749027
absolute error = 4e-31
relative error = 3.2526489355229089162209996059243e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.386
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 1.2305806208165082493708677779067
y[1] (numeric) = 1.2305806208165082493708677779071
absolute error = 4e-31
relative error = 3.2504981244917878414076773598243e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.386
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 1.2313946240182212553086418013327
y[1] (numeric) = 1.2313946240182212553086418013331
absolute error = 4e-31
relative error = 3.2483494096696746631847671433692e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.386
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 1.2322089091848875392264838663607
y[1] (numeric) = 1.2322089091848875392264838663611
absolute error = 4e-31
relative error = 3.2462027909261103663676946880767e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 1.2330234753487748729598552538913
y[1] (numeric) = 1.2330234753487748729598552538917
absolute error = 4e-31
relative error = 3.2440582681270962741886191133927e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 1.2338383215399770840735007233791
y[1] (numeric) = 1.2338383215399770840735007233795
absolute error = 4e-31
relative error = 3.2419158411351042299910670454819e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 10.64
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.4MB, time=4.42
x[1] = 0.309
y[1] (analytic) = 1.2346534467864138142747452438454
y[1] (numeric) = 1.2346534467864138142747452438458
absolute error = 4e-31
relative error = 3.2397755098090867710072618613243e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 1.2354688501138302893836540501325
y[1] (numeric) = 1.2354688501138302893836540501329
absolute error = 4e-31
relative error = 3.2376372740044872941804759957929e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 1.2362845305457971008863860374717
y[1] (numeric) = 1.2362845305457971008863860374722
absolute error = 5e-31
relative error = 4.0443764169665627674936452195637e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 1.2371004871037099990980307282639
y[1] (numeric) = 1.2371004871037099990980307282643
absolute error = 4e-31
relative error = 3.2333670883638311122758331217866e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 1.2379167188067896979611788861157
y[1] (numeric) = 1.2379167188067896979611788861161
absolute error = 4e-31
relative error = 3.2312351382212068799227286883119e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 1.2387332246720816915064363131479
y[1] (numeric) = 1.2387332246720816915064363131483
absolute error = 4e-31
relative error = 3.2291052829868858505387145832004e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 1.2395500037144560820010494468979
y[1] (numeric) = 1.2395500037144560820010494468983
absolute error = 4e-31
relative error = 3.2269775224989179259192577387760e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 1.2403670549466074198117700723025
y[1] (numeric) = 1.2403670549466074198117700723029
absolute error = 4e-31
relative error = 3.2248518565919046933637280703930e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 10.63
memory used=110.6MB, alloc=4.4MB, time=4.58
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 1.2411843773790545550080447817823
y[1] (numeric) = 1.2411843773790545550080447817827
absolute error = 4e-31
relative error = 3.2227282850970095347733447769368e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 1.2420019700201405007315727518804
y[1] (numeric) = 1.2420019700201405007315727518808
absolute error = 4e-31
relative error = 3.2206068078419677274992974961599e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 1.2428198318760323083582329577698
y[1] (numeric) = 1.2428198318760323083582329577701
absolute error = 3e-31
relative error = 2.4138655684883224026787488976550e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 1.2436379619507209544783391167607
y[1] (numeric) = 1.243637961950720954478339116761
absolute error = 3e-31
relative error = 2.4122776015089789754549515006338e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 1.2444563592460212397211374382574
y[1] (numeric) = 1.2444563592460212397211374382577
absolute error = 3e-31
relative error = 2.4106912048065791282670788840803e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 1.2452750227615716994494186599648
y[1] (numeric) = 1.2452750227615716994494186599651
absolute error = 3e-31
relative error = 2.4091063782417156371486447668584e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 1.2460939514948345263500718680897
y[1] (numeric) = 1.24609395149483452635007186809
absolute error = 3e-31
relative error = 2.4075231216724479841491243687378e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 10.63
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=4.74
x[1] = 0.324
y[1] (analytic) = 1.2469131444410955049463632323516
y[1] (numeric) = 1.2469131444410955049463632323518
absolute error = 2e-31
relative error = 1.6039609566362065968552342335594e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 1.2477326005934639580576780343871
y[1] (numeric) = 1.2477326005934639580576780343873
absolute error = 2e-31
relative error = 1.6029075452935445814027590561908e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 1.248552318942872705232419230148
y[1] (numeric) = 1.2485523189428727052324192301482
absolute error = 2e-31
relative error = 1.6018551803206491445883526250979e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 1.249372298478078033179710262721
y[1] (numeric) = 1.2493722984780780331797102627212
absolute error = 2e-31
relative error = 1.6008038616161880342348104000454e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 1.2501925381856596782255039312135
y[1] (numeric) = 1.2501925381856596782255039312137
absolute error = 2e-31
relative error = 1.5997535890771652193398697640561e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 1.2510130370500208208186528235183
y[1] (numeric) = 1.2510130370500208208186528235186
absolute error = 3e-31
relative error = 2.3980565438983888409347254731116e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 1.2518337940533880921124501354736
y[1] (numeric) = 1.2518337940533880921124501354739
absolute error = 3e-31
relative error = 2.3964842731127422151067275078498e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 1.2526548081758115926471026257534
y[1] (numeric) = 1.2526548081758115926471026257537
absolute error = 3e-31
relative error = 2.3949135710968719091950341223734e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.63
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=4.90
x[1] = 0.332
y[1] (analytic) = 1.2534760783951649231585499943479
y[1] (numeric) = 1.2534760783951649231585499943482
absolute error = 3e-31
relative error = 2.3933444376863761967938570463705e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 1.2542976036871452275389971223085
y[1] (numeric) = 1.2542976036871452275389971223089
absolute error = 4e-31
relative error = 3.1890358302858601961054756039377e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 1.2551193830252732479744773711404
y[1] (numeric) = 1.2551193830252732479744773711408
absolute error = 4e-31
relative error = 3.1869478346821574638150211086505e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 1.2559414153808933922847165114235
y[1] (numeric) = 1.2559414153808933922847165114239
absolute error = 4e-31
relative error = 3.1848619298750548293460339882373e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 1.2567636997231738134905178315399
y[1] (numeric) = 1.2567636997231738134905178315403
absolute error = 4e-31
relative error = 3.1827781156322993162965520839124e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 1.2575862350191065016338395683863
y[1] (numeric) = 1.2575862350191065016338395683867
absolute error = 4e-31
relative error = 3.1806963917184001454937082448323e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 1.2584090202335073878756860022752
y[1] (numeric) = 1.2584090202335073878756860022755
absolute error = 3e-31
relative error = 2.3839625684209789976351296553533e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 1.2592320543290164608968833674935
y[1] (numeric) = 1.2592320543290164608968833674938
absolute error = 3e-31
relative error = 2.3824044104393086966734192722568e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.63
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.4MB, time=5.06
x[1] = 0.34
y[1] (analytic) = 1.2600553362660978956267611478203
y[1] (numeric) = 1.2600553362660978956267611478206
absolute error = 3e-31
relative error = 2.3808478196599307170275971976183e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 1.2608788650030401943247083523285
y[1] (numeric) = 1.2608788650030401943247083523288
absolute error = 3e-31
relative error = 2.3792927958965879625122400042713e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 1.2617026394959563400395230006534
y[1] (numeric) = 1.2617026394959563400395230006538
absolute error = 4e-31
relative error = 3.1703191186141761990677636805662e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 1.262526658698783962471421288232
y[1] (numeric) = 1.2625266586987839624714212882323
absolute error = 3e-31
relative error = 2.3761874486610312184392606005828e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 1.26335092156328551626152075045
y[1] (numeric) = 1.2633509215632855162615207504503
absolute error = 3e-31
relative error = 2.3746371248043767415124980663812e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 1.2641754270390484717335591998299
y[1] (numeric) = 1.2641754270390484717335591998303
absolute error = 4e-31
relative error = 3.1641178229265217592540681789406e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 1.2650001740734855181125582719964
y[1] (numeric) = 1.2650001740734855181125582719967
absolute error = 3e-31
relative error = 2.3715411756344359743805362647224e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.63
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.4MB, time=5.22
x[1] = 0.347
y[1] (analytic) = 1.265825161611834779245087083834
y[1] (numeric) = 1.2658251616118347792450870838344
absolute error = 4e-31
relative error = 3.1599940665633567129484666842771e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 1.2666503885971600418457277806669
y[1] (numeric) = 1.2666503885971600418457277806673
absolute error = 4e-31
relative error = 3.1579353198083946841037223041416e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 1.2674758539703509962942906280989
y[1] (numeric) = 1.2674758539703509962942906280993
absolute error = 4e-31
relative error = 3.1558786603074559699614008505896e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 1.2683015566701234900082717880485
y[1] (numeric) = 1.2683015566701234900082717880489
absolute error = 4e-31
relative error = 3.1538240877838585537634762437280e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.63
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 1.2691274956330197934149920071517
y[1] (numeric) = 1.2691274956330197934149920071522
absolute error = 5e-31
relative error = 3.9397145024472759843145446423569e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 1.2699536697934088785477991387888
y[1] (numeric) = 1.2699536697934088785477991387892
absolute error = 4e-31
relative error = 3.1497212025464711917371365039339e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 1.2707800780834867102906617171929
y[1] (numeric) = 1.2707800780834867102906617171934
absolute error = 5e-31
relative error = 3.9345911115798228084555498377866e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 1.2716067194332765502954247031239
y[1] (numeric) = 1.2716067194332765502954247031244
absolute error = 5e-31
relative error = 3.9320333272762002166733811467275e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.64
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=5.38
x[1] = 0.355
y[1] (analytic) = 1.2724335927706292735959420251245
y[1] (numeric) = 1.272433592770629273595942025125
absolute error = 5e-31
relative error = 3.9294781499071183808592434412054e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 1.2732606970212236979432436481365
y[1] (numeric) = 1.2732606970212236979432436481369
absolute error = 4e-31
relative error = 3.1415404632829288487264171050484e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 1.274088031108566925885837611936
y[1] (numeric) = 1.2740880311085669258858376119364
absolute error = 4e-31
relative error = 3.1395004915944886408013909073248e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 1.274915593953994699619189795174
y[1] (numeric) = 1.2749155939539946996191897951744
absolute error = 4e-31
relative error = 3.1374626045591688868747994225784e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 1.2757433844766717686283660764897
y[1] (numeric) = 1.2757433844766717686283660764901
absolute error = 4e-31
relative error = 3.1354268018727428971299592446894e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 1.2765714015935922701477630819335
y[1] (numeric) = 1.2765714015935922701477630819339
absolute error = 4e-31
relative error = 3.1333930832279722099629029912008e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 1.2773996442195801224617948275141
y[1] (numeric) = 1.2773996442195801224617948275145
absolute error = 4e-31
relative error = 3.1313614483146163063334416720437e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 1.2782281112672894310703432868081
y[1] (numeric) = 1.2782281112672894310703432868085
absolute error = 4e-31
relative error = 3.1293318968194423144468405944003e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.64
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.4MB, time=5.54
x[1] = 0.363
y[1] (analytic) = 1.2790568016472049077427212359823
y[1] (numeric) = 1.2790568016472049077427212359826
absolute error = 3e-31
relative error = 2.3454783213196760285532826785617e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.64
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 1.2798857142676423024838356520151
y[1] (numeric) = 1.2798857142676423024838356520155
absolute error = 4e-31
relative error = 3.1252790428158049751278808094141e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 1.2807148480347488484361794641264
y[1] (numeric) = 1.2807148480347488484361794641267
absolute error = 3e-31
relative error = 2.3424418047495009948976471152067e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 1.2815442018525037197412185831725
y[1] (numeric) = 1.2815442018525037197412185831728
absolute error = 3e-31
relative error = 2.3409258889887887464277470314244e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 1.2823737746227185023836798588179
y[1] (numeric) = 1.2823737746227185023836798588182
absolute error = 3e-31
relative error = 2.3394115345836799316241666620558e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 1.283203565245037678042183939397
y[1] (numeric) = 1.2832035652450376780421839393973
absolute error = 3e-31
relative error = 2.3378987412859367491996872266346e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 1.2840335726169391209696049343227
y[1] (numeric) = 1.284033572616939120969604934323
absolute error = 3e-31
relative error = 2.3363875088451278780495325970827e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 1.2848637956337346079264763034442
y[1] (numeric) = 1.2848637956337346079264763034444
absolute error = 2e-31
relative error = 1.5565852246724237979933705546516e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
memory used=137.3MB, alloc=4.4MB, time=5.70
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 1.2856942331885703411906995216927
y[1] (numeric) = 1.285694233188570341190699521693
absolute error = 3e-31
relative error = 2.3333697255216634970581928564062e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.65
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 1.2865248841724274846667487904672
y[1] (numeric) = 1.2865248841724274846667487904675
absolute error = 3e-31
relative error = 2.3318631741272426863515052669985e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 1.2873557474741227131175013892908
y[1] (numeric) = 1.2873557474741227131175013892911
absolute error = 3e-31
relative error = 2.3303581825662399873887576399451e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 1.2881868219803087745417591821206
y[1] (numeric) = 1.2881868219803087745417591821209
absolute error = 3e-31
relative error = 2.3288547505773646269710978866104e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 1.2890181065754750657204623121059
y[1] (numeric) = 1.2890181065754750657204623121062
absolute error = 3e-31
relative error = 2.3273528778971755185240321361823e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 1.289849600141948220954531236391
y[1] (numeric) = 1.2898496001419482209545312363913
absolute error = 3e-31
relative error = 2.3258525642600884369005083271050e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 1.2906813015598927140172079685432
y[1] (numeric) = 1.2906813015598927140172079685435
absolute error = 3e-31
relative error = 2.3243538093983831856255451583030e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.66
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=5.86
x[1] = 0.378
y[1] (analytic) = 1.2915132097073114733437017101911
y[1] (numeric) = 1.2915132097073114733437017101914
absolute error = 3e-31
relative error = 2.3228566130422107565629652868441e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.66
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 1.2923453234600465104808779652953
y[1] (numeric) = 1.2923453234600465104808779652956
absolute error = 3e-31
relative error = 2.3213609749196004819849136602116e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 1.2931776416917795618196637399828
y[1] (numeric) = 1.2931776416917795618196637399831
absolute error = 3e-31
relative error = 2.3198668947564671790249636382051e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 1.2940101632740327436327745378871
y[1] (numeric) = 1.2940101632740327436327745378874
absolute error = 3e-31
relative error = 2.3183743722766182864957350911633e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 1.294842887076169220440301565296
y[1] (numeric) = 1.2948428870761692204403015652963
absolute error = 3e-31
relative error = 2.3168834072017609940520699571618e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 1.2956758119653938867256298619621
y[1] (numeric) = 1.2956758119653938867256298619624
absolute error = 3e-31
relative error = 2.3153939992515093636809318005906e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 1.2965089368067540620240899720305
y[1] (numeric) = 1.2965089368067540620240899720309
absolute error = 4e-31
relative error = 3.0852081975245219246657556500491e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.67
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 1.2973422604631401994066772650461
y[1] (numeric) = 1.2973422604631401994066772650465
absolute error = 4e-31
relative error = 3.0832264714571418317887782389238e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.68
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.4MB, time=6.02
x[1] = 0.386
y[1] (analytic) = 1.2981757817952866073811041092761
y[1] (numeric) = 1.2981757817952866073811041092765
absolute error = 4e-31
relative error = 3.0812468204177086474903095901061e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 1.2990094996617721852323807885039
y[1] (numeric) = 1.2990094996617721852323807885042
absolute error = 3e-31
relative error = 2.3094519330159793909242763877179e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 1.2998434129190211718250513388789
y[1] (numeric) = 1.2998434129190211718250513388792
absolute error = 3e-31
relative error = 2.3079703064102050658894831115239e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 1.3006775204213039078891403642395
y[1] (numeric) = 1.3006775204213039078891403642398
absolute error = 3e-31
relative error = 2.3064902352031629257348623606464e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 1.3015118210207376118117963664381
y[1] (numeric) = 1.3015118210207376118117963664384
absolute error = 3e-31
relative error = 2.3050117191000138920349172177436e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.68
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 1.3023463135672871689565462014886
y[1] (numeric) = 1.3023463135672871689565462014889
absolute error = 3e-31
relative error = 2.3035347578038824521572797678251e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 1.3031809969087659345320039427238
y[1] (numeric) = 1.3031809969087659345320039427241
absolute error = 3e-31
relative error = 2.3020593510158637108654783628029e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 1.3040158698908365500318056984954
y[1] (numeric) = 1.3040158698908365500318056984956
absolute error = 2e-31
relative error = 1.5337236656233536227111335152241e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.69
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=6.18
x[1] = 0.394
y[1] (analytic) = 1.3048509313570117732674697941859
y[1] (numeric) = 1.3048509313570117732674697941861
absolute error = 2e-31
relative error = 1.5327421331722933897913547946380e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 1.3056861801486553220158091863449
y[1] (numeric) = 1.3056861801486553220158091863451
absolute error = 2e-31
relative error = 1.5317616364540945671045195015865e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.69
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 1.3065216151049827313024500305298
y[1] (numeric) = 1.30652161510498273130245003053
absolute error = 2e-31
relative error = 1.5307821752641224433257207642433e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 1.307357235063062224342936973858
y[1] (numeric) = 1.3073572350630622243429369738582
absolute error = 2e-31
relative error = 1.5298037493964128119541077707360e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 1.3081930388578155971628319882893
y[1] (numeric) = 1.3081930388578155971628319882895
absolute error = 2e-31
relative error = 1.5288263586436766407877769002319e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 1.3090290253220191169181394012002
y[1] (numeric) = 1.3090290253220191169181394012004
absolute error = 2e-31
relative error = 1.5278500027973047360931016140063e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.7
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 1.3098651932863044339373152158235
y[1] (numeric) = 1.3098651932863044339373152158236
absolute error = 1e-31
relative error = 7.6343734082368620072864653442897e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.71
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.4MB, time=6.34
x[1] = 0.401
y[1] (analytic) = 1.3107015415791595075060438455658
y[1] (numeric) = 1.310701541579159507506043845566
absolute error = 2e-31
relative error = 1.5259003949826440913130612323674e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 1.3115380690269295454158900130364
y[1] (numeric) = 1.3115380690269295454158900130365
absolute error = 1e-31
relative error = 7.6246357129528902956216196663417e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 1.3123747744538179572978577867784
y[1] (numeric) = 1.3123747744538179572978577867785
absolute error = 1e-31
relative error = 7.6197746212866550011099438517444e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.71
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 1.3132116566818873217618125461758
y[1] (numeric) = 1.3132116566818873217618125461759
absolute error = 1e-31
relative error = 7.6149186988388134463945506476186e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 1.314048714531060367362645077766
y[1] (numeric) = 1.3140487145310603673626450777662
absolute error = 2e-31
relative error = 1.5220135889054406124132007207806e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 1.3148859468191209674139800142249
y[1] (numeric) = 1.3148859468191209674139800142251
absolute error = 2e-31
relative error = 1.5210444714526445939091540443015e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 1.3157233523617151486701534305734
y[1] (numeric) = 1.3157233523617151486701534305736
absolute error = 2e-31
relative error = 1.5200763871903714175451110279591e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.72
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 1.3165609299723521138971066106927
y[1] (numeric) = 1.3165609299723521138971066106929
absolute error = 2e-31
relative error = 1.5191093358983394425176807463024e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.72
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=6.50
x[1] = 0.409
y[1] (analytic) = 1.3173986784624052783527647910153
y[1] (numeric) = 1.3173986784624052783527647910154
absolute error = 1e-31
relative error = 7.5907165867749660697590081691903e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.73
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 1.3182365966411133201973910772922
y[1] (numeric) = 1.3182365966411133201973910772923
absolute error = 1e-31
relative error = 7.5858916566875403399310297130436e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.73
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 1.3190746833155812448543267146359
y[1] (numeric) = 1.319074683315581244854326714636
absolute error = 1e-31
relative error = 7.5810718881089736571196318276516e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.73
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 1.3199129372907814633414494706108
y[1] (numeric) = 1.3199129372907814633414494706109
absolute error = 1e-31
relative error = 7.5762572799125195796877987621125e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.74
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 1.3207513573695548845936020660274
y[1] (numeric) = 1.3207513573695548845936020660275
absolute error = 1e-31
relative error = 7.5714478309651545340953934244799e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.74
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 1.3215899423526120217961623583059
y[1] (numeric) = 1.321589942352612021796162358306
absolute error = 1e-31
relative error = 7.5666435401276007313202867450999e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.74
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 1.3224286910385341127498463478558
y[1] (numeric) = 1.3224286910385341127498463478559
absolute error = 1e-31
relative error = 7.5618444062543490559012682536462e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.74
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 1.3232676022237742542867540389094
y[1] (numeric) = 1.3232676022237742542867540389095
absolute error = 1e-31
relative error = 7.5570504281936819275528242900502e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 10.75
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=6.67
x[1] = 0.417
y[1] (analytic) = 1.3241066747026585507575867426936
y[1] (numeric) = 1.3241066747026585507575867426937
absolute error = 1e-31
relative error = 7.5522616047876961353022461289904e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.75
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 1.3249459072673872766098825627832
y[1] (numeric) = 1.3249459072673872766098825627833
absolute error = 1e-31
relative error = 7.5474779348723256440999053199608e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.75
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 1.3257852987080360530770345500113
y[1] (numeric) = 1.3257852987080360530770345500114
absolute error = 1e-31
relative error = 7.5426994172773643738539077290426e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.75
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 1.3266248478125570389977733574783
y[1] (numeric) = 1.3266248478125570389977733574783
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.76
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 1.3274645533667801357857131650825
y[1] (numeric) = 1.3274645533667801357857131650825
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.76
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 1.3283044141544142065684761776638
y[1] (numeric) = 1.3283044141544142065684761776639
absolute error = 1e-31
relative error = 7.5283947666212519981717918081867e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.76
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 1.3291444289570483095158271313937
y[1] (numeric) = 1.3291444289570483095158271313938
absolute error = 1e-31
relative error = 7.5236368464838616279115392123869e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.77
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 1.3299845965541529453761649695556
y[1] (numeric) = 1.3299845965541529453761649695557
absolute error = 1e-31
relative error = 7.5188840727245447323645232387845e-30 %
Correct digits = 31
h = 0.001
memory used=164.0MB, alloc=4.4MB, time=6.83
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.77
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 1.3308249157230813192406341714338
y[1] (numeric) = 1.3308249157230813192406341714338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.77
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 1.3316653852390706165540331367664
y[1] (numeric) = 1.3316653852390706165540331367664
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.78
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 1.3325060038752432933916115432418
y[1] (numeric) = 1.3325060038752432933916115432418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.78
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 1.3333467704026083810207627059277
y[1] (numeric) = 1.3333467704026083810207627059276
absolute error = 1e-31
relative error = 7.4999244172470358724415582340910e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.78
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 1.3341876835900628047665306754551
y[1] (numeric) = 1.3341876835900628047665306754551
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.78
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 1.3350287422043927171997651163606
y[1] (numeric) = 1.3350287422043927171997651163605
absolute error = 1e-31
relative error = 7.4904754361228586736245362969104e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.79
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 1.3358699450102748456666699083466
y[1] (numeric) = 1.3358699450102748456666699083466
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 10.79
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.4MB, time=6.98
x[1] = 0.432
y[1] (analytic) = 1.3367112907702778541784039115145
y[1] (numeric) = 1.3367112907702778541784039115144
absolute error = 1e-31
relative error = 7.4810470062219008900864609937197e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.79
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 1.3375527782448637196793044319773
y[1] (numeric) = 1.3375527782448637196793044319772
absolute error = 1e-31
relative error = 7.4763404948565816195706079419301e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.8
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 1.3383944061923891227122156168573
y[1] (numeric) = 1.3383944061923891227122156168572
absolute error = 1e-31
relative error = 7.4716391175371797728170937365078e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.8
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 1.3392361733691068524993152976473
y[1] (numeric) = 1.3392361733691068524993152976472
absolute error = 1e-31
relative error = 7.4669428729983238127151409410635e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.8
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 1.3400780785291672264567446884562
y[1] (numeric) = 1.3400780785291672264567446884562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.81
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 1.340920120424619524161255830931
y[1] (numeric) = 1.340920120424619524161255830931
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.81
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 1.3417622978054134357870017608287
y[1] (numeric) = 1.3417622978054134357870017608287
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.81
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 1.3426046094194005250305040525019
y[1] (numeric) = 1.3426046094194005250305040525019
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.82
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=7.15
x[1] = 0.44
y[1] (analytic) = 1.3434470540123357065417416771392
y[1] (numeric) = 1.3434470540123357065417416771391
absolute error = 1e-31
relative error = 7.4435385973224804825328847012477e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.82
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 1.3442896303278787378792139886778
y[1] (numeric) = 1.3442896303278787378792139886777
absolute error = 1e-31
relative error = 7.4388731225732595060835752886127e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 10.82
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 1.3451323371075957260067391280865
y[1] (numeric) = 1.3451323371075957260067391280864
absolute error = 1e-31
relative error = 7.4342127715870312019363200347722e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.83
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 1.3459751730909606483496572124075
y[1] (numeric) = 1.3459751730909606483496572124074
absolute error = 1e-31
relative error = 7.4295575430529896029016976433174e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.83
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 1.3468181370153568884280153497793
y[1] (numeric) = 1.3468181370153568884280153497792
absolute error = 1e-31
relative error = 7.4249074356547490753922839833500e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.83
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 1.3476612276160787860842187958534
y[1] (numeric) = 1.3476612276160787860842187958534
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.84
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 1.3485044436263332023225394408074
y[1] (numeric) = 1.3485044436263332023225394408073
absolute error = 1e-31
relative error = 7.4156225789723626167518021984628e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.84
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 1.3493477837772410987777792897807
y[1] (numeric) = 1.3493477837772410987777792897806
absolute error = 1e-31
relative error = 7.4109878270277453579898965697656e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.84
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=7.31
x[1] = 0.448
y[1] (analytic) = 1.3501912467978391318302926732689
y[1] (numeric) = 1.3501912467978391318302926732688
absolute error = 1e-31
relative error = 7.4063581908980304638634417006077e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.85
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 1.351034831415081261384476598051
y[1] (numeric) = 1.3510348314150812613844765980509
absolute error = 1e-31
relative error = 7.4017336692392640853685111038448e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 10.85
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 1.3518785363538403743277439238671
y[1] (numeric) = 1.351878536353840374327743923867
absolute error = 1e-31
relative error = 7.3971142607020445519138679483335e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.85
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 1.3527223603369099226868989265593
y[1] (numeric) = 1.3527223603369099226868989265592
absolute error = 1e-31
relative error = 7.3924999639315442443702344991735e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.86
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 1.353566302085005576498739285028
y[1] (numeric) = 1.3535663020850055764987392850279
absolute error = 1e-31
relative error = 7.3878907775675314391382896194833e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.86
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 1.3544103603167668914116126074024
y[1] (numeric) = 1.3544103603167668914116126074023
absolute error = 1e-31
relative error = 7.3832867002443921231988221627767e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.86
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 1.3552545337487589910345592915778
y[1] (numeric) = 1.3552545337487589910345592915777
absolute error = 1e-31
relative error = 7.3786877305911517801088123265881e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.87
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 1.3560988210954742640505767970181
y[1] (numeric) = 1.356098821095474264050576797018
absolute error = 1e-31
relative error = 7.3740938672314971469075564099805e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.87
memory used=179.2MB, alloc=4.4MB, time=7.47
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 1.3569432210693340761104432887621
y[1] (numeric) = 1.3569432210693340761104432887621
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.87
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 1.3577877323806904965234411012168
y[1] (numeric) = 1.3577877323806904965234411012168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 10.88
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 1.3586323537378280397612225588765
y[1] (numeric) = 1.3586323537378280397612225588765
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.88
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 1.3594770838469654217909623839012
y[1] (numeric) = 1.3594770838469654217909623839012
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.89
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 1.3603219214122573312538422168429
y[1] (numeric) = 1.3603219214122573312538422168428
absolute error = 1e-31
relative error = 7.3512010962950684189783602865193e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.89
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 1.3611668651357962155048136770589
y[1] (numeric) = 1.3611668651357962155048136770588
absolute error = 1e-31
relative error = 7.3466378414981137411393737986173e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.89
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 1.362011913717614081529486893842
y[1] (numeric) = 1.3620119137176140815294868938419
absolute error = 1e-31
relative error = 7.3420796832128884849297767755478e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.9
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=7.63
x[1] = 0.463
y[1] (analytic) = 1.3628570658556843117538915483668
y[1] (numeric) = 1.3628570658556843117538915483667
absolute error = 1e-31
relative error = 7.3375266200211491615016464470996e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.9
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 1.3637023202459234947627571805673
y[1] (numeric) = 1.3637023202459234947627571805672
absolute error = 1e-31
relative error = 7.3329786504995080328443483315821e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 10.9
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 1.3645476755821932709418588343674
y[1] (numeric) = 1.3645476755821932709418588343673
absolute error = 1e-31
relative error = 7.3284357732194545758923632607735e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.91
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 1.3653931305563021930598730396682
y[1] (numeric) = 1.3653931305563021930598730396681
absolute error = 1e-31
relative error = 7.3238979867473769171708409352359e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.91
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 1.3662386838580076018050876605155
y[1] (numeric) = 1.3662386838580076018050876605154
absolute error = 1e-31
relative error = 7.3193652896445832379470478774798e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.91
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 1.3670843341750175162922072763174
y[1] (numeric) = 1.3670843341750175162922072763173
absolute error = 1e-31
relative error = 7.3148376804673231498562096666010e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.92
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 1.3679300801929925395543935072397
y[1] (numeric) = 1.3679300801929925395543935072396
absolute error = 1e-31
relative error = 7.3103151577668090409705784771639e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.92
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 1.3687759205955477790355770463737
y[1] (numeric) = 1.3687759205955477790355770463736
absolute error = 1e-31
relative error = 7.3057977200892373922808872068256e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.93
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=7.79
x[1] = 0.471
y[1] (analytic) = 1.369621854064254782097975120349
y[1] (numeric) = 1.3696218540642547820979751203489
absolute error = 1e-31
relative error = 7.3012853659758100645596808610754e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 10.93
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 1.3704678792786434865596446671604
y[1] (numeric) = 1.3704678792786434865596446671603
absolute error = 1e-31
relative error = 7.2967780939627555555763443690965e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.93
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 1.3713139949162041862767976955135
y[1] (numeric) = 1.3713139949162041862767976955133
absolute error = 2e-31
relative error = 1.4584551805162700455267947263472e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.94
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 1.3721601996523895117855010743838
y[1] (numeric) = 1.3721601996523895117855010743836
absolute error = 2e-31
relative error = 1.4575557580715879010797126701104e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.94
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 1.3730064921606164260172783951717
y[1] (numeric) = 1.3730064921606164260172783951715
absolute error = 2e-31
relative error = 1.4566573511627918087982622110905e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.94
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 1.3738528711122682351030265522399
y[1] (numeric) = 1.3738528711122682351030265522397
absolute error = 2e-31
relative error = 1.4557599594931911734630323474589e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.95
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 1.3746993351766966142795543012046
y[1] (numeric) = 1.3746993351766966142795543012044
absolute error = 2e-31
relative error = 1.4548635827651218953174083201053e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.95
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 1.3755458830212236489129442785515
y[1] (numeric) = 1.3755458830212236489129442785513
absolute error = 2e-31
relative error = 1.4539682206799505858095105358575e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 10.95
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=7.95
x[1] = 0.479
y[1] (analytic) = 1.3763925133111438906528338014305
y[1] (numeric) = 1.3763925133111438906528338014304
absolute error = 1e-31
relative error = 7.2653693646903938868202224079339e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.96
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 1.3772392247097264287316032133103
y[1] (numeric) = 1.3772392247097264287316032133102
absolute error = 1e-31
relative error = 7.2609026961947356358927237035068e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.96
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 1.3780860158782169764223536000163
y[1] (numeric) = 1.3780860158782169764223536000162
absolute error = 1e-31
relative error = 7.2564410964051980751928017028387e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.97
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 1.3789328854758399726694483720178
y[1] (numeric) = 1.3789328854758399726694483720177
absolute error = 1e-31
relative error = 7.2519845638094386757319630005514e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.97
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 1.3797798321598006989052854931506
y[1] (numeric) = 1.3797798321598006989052854931505
absolute error = 1e-31
relative error = 7.2475330968903734097903020558799e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.97
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 1.3806268545852874110668590337583
y[1] (numeric) = 1.3806268545852874110668590337583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.98
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 1.3814739514054734868255602380112
y[1] (numeric) = 1.3814739514054734868255602380112
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 10.98
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 1.3823211212715195880435594214129
y[1] (numeric) = 1.382321121271519588043559421413
absolute error = 1e-31
relative error = 7.2342090749518183279991300994134e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.98
memory used=194.5MB, alloc=4.4MB, time=8.11
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 1.3831683628325758384700007557633
y[1] (numeric) = 1.3831683628325758384700007557633
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.99
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 1.3840156747357840166901323556113
y[1] (numeric) = 1.3840156747357840166901323556114
absolute error = 1e-31
relative error = 7.2253516940182439787718793445677e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.99
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 1.3848630556262797643403840530563
y[1] (numeric) = 1.3848630556262797643403840530564
absolute error = 1e-31
relative error = 7.2209305890376845184733506606032e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 10.99
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 1.3857105041471948096022948371514
y[1] (numeric) = 1.3857105041471948096022948371515
absolute error = 1e-31
relative error = 7.2165145389832207813315185159551e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 1.3865580189396592059880811406935
y[1] (numeric) = 1.3865580189396592059880811406936
absolute error = 1e-31
relative error = 7.2121035423005865968300241962995e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 1.3874055986428035864305259813834
y[1] (numeric) = 1.3874055986428035864305259813835
absolute error = 1e-31
relative error = 7.2076975974309613059992083176154e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 1.3882532418937614326897574067742
y[1] (numeric) = 1.3882532418937614326897574067743
absolute error = 1e-31
relative error = 7.2032967028109903896174253916842e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.01
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=8.27
x[1] = 0.494
y[1] (analytic) = 1.3891009473276713600893727536564
y[1] (numeric) = 1.3891009473276713600893727536565
absolute error = 1e-31
relative error = 7.1989008568728060661814066824619e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.01
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 1.3899487135776794175942529131239
y[1] (numeric) = 1.3899487135776794175942529131241
absolute error = 2e-31
relative error = 1.4389020116088095719245606023510e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.02
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 1.3907965392749414032422980931113
y[1] (numeric) = 1.3907965392749414032422980931115
absolute error = 2e-31
relative error = 1.4380248609495766273496693021076e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.02
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 1.3916444230486251949422034912628
y[1] (numeric) = 1.391644423048625194942203491263
absolute error = 2e-31
relative error = 1.4371487190806055228762753531554e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.02
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 1.3924923635259130966492798331975
y[1] (numeric) = 1.3924923635259130966492798331977
absolute error = 2e-31
relative error = 1.4362735856847531672365564763126e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.03
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 1.3933403593320041999312098951522
y[1] (numeric) = 1.3933403593320041999312098951524
absolute error = 2e-31
relative error = 1.4353994604439943238259427315534e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.03
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 1.3941884090901167609355179162413
y[1] (numeric) = 1.3941884090901167609355179162415
absolute error = 2e-31
relative error = 1.4345263430394256939261451778209e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.03
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 1.3950365114214905927704142147688
y[1] (numeric) = 1.3950365114214905927704142147691
absolute error = 3e-31
relative error = 2.1504813497269049907768947107399e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.04
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=8.43
x[1] = 0.502
y[1] (analytic) = 1.3958846649453894733105623557945
y[1] (numeric) = 1.3958846649453894733105623557948
absolute error = 3e-31
relative error = 2.1491746956883200390192344641659e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.04
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 1.3967328682791035684392008741155
y[1] (numeric) = 1.3967328682791035684392008741158
absolute error = 3e-31
relative error = 2.1478695519611141158494921795625e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.04
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 1.3975811200379518707379358386185
y[1] (numeric) = 1.3975811200379518707379358386187
absolute error = 2e-31
relative error = 1.4310439453744833109686269188690e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.05
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 1.3984294188352846536354044512206
y[1] (numeric) = 1.3984294188352846536354044512208
absolute error = 2e-31
relative error = 1.4301758623368691534421313004040e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.05
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 1.3992777632824859410258934070109
y[1] (numeric) = 1.3992777632824859410258934070111
absolute error = 2e-31
relative error = 1.4293087852038140070086456803942e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.05
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 1.4001261519889759923688789023741
y[1] (numeric) = 1.4001261519889759923688789023743
absolute error = 2e-31
relative error = 1.4284427136503819574222917161725e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.06
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 1.4009745835622138032803379654994
y[1] (numeric) = 1.4009745835622138032803379654996
absolute error = 2e-31
relative error = 1.4275776473507914749977405097083e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.06
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 1.4018230566076996216265631994147
y[1] (numeric) = 1.401823056607699621626563199415
absolute error = 3e-31
relative error = 2.1400703789676291644950345586620e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.06
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.4MB, time=8.59
x[1] = 0.51
y[1] (analytic) = 1.4026715697289774791310950722237
y[1] (numeric) = 1.402671569728977479131095072224
absolute error = 3e-31
relative error = 2.1387757938087077698533728778564e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.07
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 1.4035201215276377385052675632428
y[1] (numeric) = 1.403520121527637738505267563243
absolute error = 2e-31
relative error = 1.4249884767046544555776197338277e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.07
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 1.4043687106033196561127442779363
y[1] (numeric) = 1.4043687106033196561127442779365
absolute error = 2e-31
relative error = 1.4241274281458435013055245031676e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.07
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 1.4052173355537139601783030796271
y[1] (numeric) = 1.4052173355537139601783030796273
absolute error = 2e-31
relative error = 1.4232673831994230137048779403288e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.08
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 1.4060659949745654445510078526244
y[1] (numeric) = 1.4060659949745654445510078526246
absolute error = 2e-31
relative error = 1.4224083415346221525212771447852e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.08
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 1.4069146874596755780317862103852
y[1] (numeric) = 1.4069146874596755780317862103855
absolute error = 3e-31
relative error = 2.1323254542297787984318876760157e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.08
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 1.4077634116009051292753117943195
y[1] (numeric) = 1.4077634116009051292753117943198
absolute error = 3e-31
relative error = 2.1310399000840683117805051417167e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.09
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=8.75
x[1] = 0.517
y[1] (analytic) = 1.4086121659881768072759692746038
y[1] (numeric) = 1.408612165988176807275969274604
absolute error = 2e-31
relative error = 1.4198372329099896537748981134974e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.09
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 1.4094609492094779174475592646167
y[1] (numeric) = 1.4094609492094779174475592646169
absolute error = 2e-31
relative error = 1.4189822010476677375680741291833e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.09
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 1.4103097598508630333062790960966
y[1] (numeric) = 1.4103097598508630333062790960968
absolute error = 2e-31
relative error = 1.4181281708009276868197844009082e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 1.411158596496456683766393773598
y[1] (numeric) = 1.4111585964964566837663937735983
absolute error = 3e-31
relative error = 2.1259127127512295752267851363788e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 1.4120074577284560560578894350553
y[1] (numeric) = 1.4120074577284560560578894350555
absolute error = 2e-31
relative error = 1.4164231138109336520338590593604e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 1.4128563421271337142752792910049
y[1] (numeric) = 1.4128563421271337142752792910051
absolute error = 2e-31
relative error = 1.4155720863940695414539997098387e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 1.4137052482708403335666092990593
y[1] (numeric) = 1.4137052482708403335666092990595
absolute error = 2e-31
relative error = 1.4147220592455749344221774308868e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 1.4145541747360074499715877533328
y[1] (numeric) = 1.414554174736007449971587753333
absolute error = 2e-31
relative error = 1.4138730320266821503256506936159e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.11
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=8.91
x[1] = 0.525
y[1] (analytic) = 1.4154031200971502259176395314939
y[1] (numeric) = 1.4154031200971502259176395314941
absolute error = 2e-31
relative error = 1.4130250043978455421205202041966e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 1.41625208292687023138256194575
y[1] (numeric) = 1.4162520829268702313825619457502
absolute error = 2e-31
relative error = 1.4121779760187454203609406716119e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 1.4171010617958582407323349891609
y[1] (numeric) = 1.4171010617958582407323349891611
absolute error = 2e-31
relative error = 1.4113319465482919710627007364340e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 1.4179500552728970452425142560419
y[1] (numeric) = 1.417950055272897045242514256042
absolute error = 1e-31
relative error = 7.0524345782231458369926620761397e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 1.4187990619248642813115099456727
y[1] (numeric) = 1.4187990619248642813115099456729
absolute error = 2e-31
relative error = 1.4096428829651386752225670476283e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 1.4196480803167352743739301328987
y[1] (numeric) = 1.4196480803167352743739301328988
absolute error = 1e-31
relative error = 7.0439992408322187621070509461002e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 1.4204971090115858985220409083281
y[1] (numeric) = 1.4204971090115858985220409083282
absolute error = 1e-31
relative error = 7.0397890545220657104468158656904e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 1.4213461465705954518432700555416
y[1] (numeric) = 1.4213461465705954518432700555417
absolute error = 1e-31
relative error = 7.0355838541708247976268708340958e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.13
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=9.08
x[1] = 0.533
y[1] (analytic) = 1.4221951915530495474815546438707
y[1] (numeric) = 1.4221951915530495474815546438708
absolute error = 1e-31
relative error = 7.0313836380503528652467823883575e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 1.4230442425163430204302062737425
y[1] (numeric) = 1.4230442425163430204302062737426
absolute error = 1e-31
relative error = 7.0271884044287923931778330630410e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 1.4238932980159828500638407181764
y[1] (numeric) = 1.4238932980159828500638407181764
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 1.4247423566055910984167913596341
y[1] (numeric) = 1.4247423566055910984167913596342
absolute error = 1e-31
relative error = 7.0188128777365199633256502682240e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 1.4255914168369078642152981269416
y[1] (numeric) = 1.4255914168369078642152981269417
absolute error = 1e-31
relative error = 7.0146325811836950821163683980027e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 1.4264404772597942526706355932996
y[1] (numeric) = 1.4264404772597942526706355932996
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 1.4272895364222353610402155043811
y[1] (numeric) = 1.4272895364222353610402155043812
absolute error = 1e-31
relative error = 7.0062869129320779352836137814109e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 1.42813859287034327996357026607
y[1] (numeric) = 1.4281385928703432799635702660701
absolute error = 1e-31
relative error = 7.0021215377294072690033638903337e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.15
memory used=221.2MB, alloc=4.4MB, time=9.24
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 1.4289876451483601105799948354299
y[1] (numeric) = 1.42898764514836011057999483543
absolute error = 1e-31
relative error = 6.9979611328002641425939318658087e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 1.4298366917986609974344950269352
y[1] (numeric) = 1.4298366917986609974344950269353
absolute error = 1e-31
relative error = 6.9938056963837698627521688575594e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 1.4306857313617571771785604697468
y[1] (numeric) = 1.4306857313617571771785604697469
absolute error = 1e-31
relative error = 6.9896552267155043400177925218808e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 1.431534762376299043072150331821
y[1] (numeric) = 1.4315347623762990430721503318211
absolute error = 1e-31
relative error = 6.9855097220275251522183010887854e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 1.4323837833790792252931494638285
y[1] (numeric) = 1.4323837833790792252931494638286
absolute error = 1e-31
relative error = 6.9813691805483865768900902931861e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 1.4332327929050356870604218111745
y[1] (numeric) = 1.4332327929050356870604218111745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 1.4340817894872548365764567968072
y[1] (numeric) = 1.4340817894872548365764567968072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.17
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.5MB, time=9.40
x[1] = 0.548
y[1] (analytic) = 1.4349307716569746547954728919354
y[1] (numeric) = 1.4349307716569746547954728919354
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 1.4357797379435878390227107672099
y[1] (numeric) = 1.4357797379435878390227107672098
absolute error = 1e-31
relative error = 6.9648566111697716494262480805911e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 1.4366286868746449623505162543373
y[1] (numeric) = 1.4366286868746449623505162543372
absolute error = 1e-31
relative error = 6.9607408590418631480755699159959e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 1.4374776169758576489366808484674
y[1] (numeric) = 1.4374776169758576489366808484673
absolute error = 1e-31
relative error = 6.9566300594216135228436015108704e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 1.4383265267711017651303746460074
y[1] (numeric) = 1.4383265267711017651303746460073
absolute error = 1e-31
relative error = 6.9525242105135842493398545206655e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 1.4391754147824206264508734417784
y[1] (numeric) = 1.4391754147824206264508734417783
absolute error = 1e-31
relative error = 6.9484233105189846444513289306769e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 1.4400242795300282204241482046282
y[1] (numeric) = 1.4400242795300282204241482046281
absolute error = 1e-31
relative error = 6.9443273576356906192063081955438e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 1.4408731195323124452822513127727
y[1] (numeric) = 1.4408731195323124452822513127725
absolute error = 2e-31
relative error = 1.3880472700116526801085695174311e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.19
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.5MB, time=9.55
x[1] = 0.556
y[1] (analytic) = 1.4417219333058383645302997602665
y[1] (numeric) = 1.4417219333058383645302997602663
absolute error = 2e-31
relative error = 1.3872300571955936443952437567752e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 1.4425707193653514773857210451315
y[1] (numeric) = 1.4425707193653514773857210451313
absolute error = 2e-31
relative error = 1.3864138327165585966319654667989e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 1.4434194762237810050942926188266
y[1] (numeric) = 1.4434194762237810050942926188264
absolute error = 2e-31
relative error = 1.3855985962114933756668744710517e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 1.4442682023922431931273706169724
y[1] (numeric) = 1.4442682023922431931273706169721
absolute error = 3e-31
relative error = 2.0771765209750436980980809072097e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 1.4451168963800446292645681035877
y[1] (numeric) = 1.4451168963800446292645681035874
absolute error = 3e-31
relative error = 2.0759566285017290620285832187999e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 1.4459655566946855775660072466144
y[1] (numeric) = 1.4459655566946855775660072466141
absolute error = 3e-31
relative error = 2.0747382163498155165438537657424e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 1.4468141818418633282381337022584
y[1] (numeric) = 1.4468141818418633282381337022581
absolute error = 3e-31
relative error = 2.0735212839708670720470892948880e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 1.447662770325475563396945020734
y[1] (numeric) = 1.4476627703254755633969450207337
absolute error = 3e-31
relative error = 2.0723058308154979299388569488097e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.2
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.5MB, time=9.71
x[1] = 0.564
y[1] (analytic) = 1.4485113206476237387323480974376
y[1] (numeric) = 1.4485113206476237387323480974372
absolute error = 4e-31
relative error = 2.7614558084445040201625841856962e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 1.4493598313086164810772235824821
y[1] (numeric) = 1.4493598313086164810772235824817
absolute error = 4e-31
relative error = 2.7598391466309846655516823420059e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 1.4502083008069730018846377289891
y[1] (numeric) = 1.4502083008069730018846377289887
absolute error = 4e-31
relative error = 2.7582244549105030854872729116571e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.385
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 1.4510567276394265266165044076549
y[1] (numeric) = 1.4510567276394265266165044076545
absolute error = 4e-31
relative error = 2.7566117325455528759821480807303e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 1.4519051103009277400468619429948
y[1] (numeric) = 1.4519051103009277400468619429945
absolute error = 3e-31
relative error = 2.0662507340980484848749549527530e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 1.4527534472846482474827910364341
y[1] (numeric) = 1.4527534472846482474827910364338
absolute error = 3e-31
relative error = 2.0650441446945600007501440417858e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 1.4536017370819840519058613341761
y[1] (numeric) = 1.4536017370819840519058613341758
absolute error = 3e-31
relative error = 2.0638390306428191298910346416629e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.5MB, time=9.87
x[1] = 0.571
y[1] (analytic) = 1.4544499781825590470368551746746
y[1] (numeric) = 1.4544499781825590470368551746742
absolute error = 4e-31
relative error = 2.7501805218480533159677343845457e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 1.4552981690742285263263777126937
y[1] (numeric) = 1.4552981690742285263263777126933
absolute error = 4e-31
relative error = 2.7485776351553817784324964322116e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 1.4561463082430827078738229655072
y[1] (numeric) = 1.4561463082430827078738229655068
absolute error = 4e-31
relative error = 2.7469767133676360370569717559366e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 1.456994394173450275277025362916
y[1] (numeric) = 1.4569943941734502752770253629157
absolute error = 3e-31
relative error = 2.0590333168041414608186578174564e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 1.4578424253479019344147861076104
y[1] (numeric) = 1.45784242534790193441478610761
absolute error = 4e-31
relative error = 2.7437807615218999854915431408747e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 1.4586904002472539861643230671315
y[1] (numeric) = 1.4586904002472539861643230671312
absolute error = 3e-31
relative error = 2.0566392974763443535357337242606e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 1.4595383173505719150555520244806
y[1] (numeric) = 1.4595383173505719150555520244802
absolute error = 4e-31
relative error = 2.7405926603290574540505553083267e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 1.4603861751351739938639659124448
y[1] (numeric) = 1.4603861751351739938639659124444
absolute error = 4e-31
relative error = 2.7390015518530625784898443091960e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.23
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.5MB, time=10.03
x[1] = 0.579
y[1] (analytic) = 1.4612339720766349041437371481693
y[1] (numeric) = 1.4612339720766349041437371481689
absolute error = 4e-31
relative error = 2.7374124037886922757868761614555e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 1.4620817066487893727025263705761
y[1] (numeric) = 1.4620817066487893727025263705757
absolute error = 4e-31
relative error = 2.7358252153830216070618801060344e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 1.4629293773237358240193387651337
y[1] (numeric) = 1.4629293773237358240193387651333
absolute error = 4e-31
relative error = 2.7342399858819900949352996313165e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 1.4637769825718400486066267394164
y[1] (numeric) = 1.463776982571840048606626739416
absolute error = 4e-31
relative error = 2.7326567145304088758636498755154e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.384
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 1.4646245208617388873176949900809
y[1] (numeric) = 1.4646245208617388873176949900805
absolute error = 4e-31
relative error = 2.7310754005719678400102056859289e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 1.4654719906603439316003209785533
y[1] (numeric) = 1.4654719906603439316003209785529
absolute error = 4e-31
relative error = 2.7294960432492427586509349034630e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 1.4663193904328452396973605100952
y[1] (numeric) = 1.4663193904328452396973605100948
absolute error = 4e-31
relative error = 2.7279186418037023991161832132788e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 1.4671667186427150687949644902433
y[1] (numeric) = 1.4671667186427150687949644902429
absolute error = 4e-31
relative error = 2.7263431954757156272687083334259e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.23
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.5MB, time=10.19
x[1] = 0.587
y[1] (analytic) = 1.4680139737517116231188890151369
y[1] (numeric) = 1.4680139737517116231188890151365
absolute error = 4e-31
relative error = 2.7247697035045584975187524031879e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 1.4688611542198828179792367392199
y[1] (numeric) = 1.4688611542198828179792367392194
absolute error = 5e-31
relative error = 3.4039977064105266629711652273397e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 1.4697082585055700597638229564887
y[1] (numeric) = 1.4697082585055700597638229564883
absolute error = 4e-31
relative error = 2.7216285795844157775458170772170e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 1.4705552850654120418802150311225
y[1] (numeric) = 1.4705552850654120418802150311221
absolute error = 4e-31
relative error = 2.7200609461085818745511550908036e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 1.471402232354348556646348721253
y[1] (numeric) = 1.4714022323543485566463487212526
absolute error = 4e-31
relative error = 2.7184952639358950809137964960851e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.383
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 1.472249098825624323129479557099
y[1] (numeric) = 1.4722490988256243231294795570986
absolute error = 4e-31
relative error = 2.7169315323002733078634544532828e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 1.4730958829307928309330817629834
y[1] (numeric) = 1.473095882930792830933081762983
absolute error = 4e-31
relative error = 2.7153697504345839335955308146661e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.5MB, time=10.35
x[1] = 0.594
y[1] (analytic) = 1.4739425831197201999311612531783
y[1] (numeric) = 1.4739425831197201999311612531779
absolute error = 4e-31
relative error = 2.7138099175706508060723240840140e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 1.4747891978405890559493029853866
y[1] (numeric) = 1.4747891978405890559493029853862
absolute error = 4e-31
relative error = 2.7122520329392612333700248656305e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 1.47563572553990242239162642428
y[1] (numeric) = 1.4756357255399024223916264242796
absolute error = 4e-31
relative error = 2.7106960957701729615729921714870e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 1.4764821646624876278126760521915
y[1] (numeric) = 1.4764821646624876278126760521911
absolute error = 4e-31
relative error = 2.7091421052921211402168916502175e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 1.4773285136515002294331267661404
y[1] (numeric) = 1.4773285136515002294331267661401
absolute error = 3e-31
relative error = 2.0306925455496189564617731193300e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 1.4781747709484279525980366211741
y[1] (numeric) = 1.4781747709484279525980366211738
absolute error = 3e-31
relative error = 2.0295299709892471273057350901785e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.382
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 1.4790209349930946461762317208909
y[1] (numeric) = 1.4790209349930946461762317208906
absolute error = 3e-31
relative error = 2.0283688547072571387414913386912e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 1.4798670042236642538992601183158
y[1] (numeric) = 1.4798670042236642538992601183155
absolute error = 3e-31
relative error = 2.0272091961221846173763414075490e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.24
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.5MB, time=10.51
x[1] = 0.602
y[1] (analytic) = 1.4807129770766448016382033753788
y[1] (numeric) = 1.4807129770766448016382033753785
absolute error = 3e-31
relative error = 2.0260509946518242227886048199880e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 1.4815588519868924006164859384762
y[1] (numeric) = 1.4815588519868924006164859384759
absolute error = 3e-31
relative error = 2.0248942497132348156084064656647e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 1.4824046273876152665566737223308
y[1] (numeric) = 1.4824046273876152665566737223305
absolute error = 3e-31
relative error = 2.0237389607227446162702293649971e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 1.4832503017103777547591042560013
y[1] (numeric) = 1.483250301710377754759104256001
absolute error = 3e-31
relative error = 2.0225851270959563544389376829448e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.381
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 1.4840958733851044111100414348005
y[1] (numeric) = 1.4840958733851044111100414348002
absolute error = 3e-31
relative error = 2.0214327482477524091110363639193e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 1.4849413408400840390168983414611
y[1] (numeric) = 1.4849413408400840390168983414608
absolute error = 3e-31
relative error = 2.0202818235922999393929970092371e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 1.48578670250197378226792175054
y[1] (numeric) = 1.4857867025019737822679217505396
absolute error = 4e-31
relative error = 2.6921764700574080079447234900037e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 1.4866319567958032238135818131794
y[1] (numeric) = 1.4866319567958032238135818131791
absolute error = 3e-31
relative error = 2.0179843345127726831868465568037e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.24
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.5MB, time=10.67
x[1] = 0.61
y[1] (analytic) = 1.4874771021449785004667600363657
y[1] (numeric) = 1.4874771021449785004667600363654
absolute error = 3e-31
relative error = 2.0168377689135021619836636358837e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 1.4883221369712864335186780231573
y[1] (numeric) = 1.488322136971286433518678023157
absolute error = 3e-31
relative error = 2.0156926551566018432874733898084e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.38
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 1.489167059694898675267358529435
y[1] (numeric) = 1.4891670596948986752673585294347
absolute error = 3e-31
relative error = 2.0145489926527394222627776943050e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 1.4900118687343758714552592199789
y[1] (numeric) = 1.4900118687343758714552592199787
absolute error = 2e-31
relative error = 1.3422711872079319754551710481597e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 1.4908565625066718396125680735563
y[1] (numeric) = 1.490856562506671839612568073556
absolute error = 3e-31
relative error = 2.0122660190433809650035475558485e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 1.4917011394271377633024976946501
y[1] (numeric) = 1.4917011394271377633024976946498
absolute error = 3e-31
relative error = 2.0111267067558174176324752196580e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 1.4925455979095264022647638399405
y[1] (numeric) = 1.4925455979095264022647638399402
absolute error = 3e-31
relative error = 2.0099888433571668488926185017637e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.379
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 1.4933899363659963184532812621187
y[1] (numeric) = 1.4933899363659963184532812621184
absolute error = 3e-31
relative error = 2.0088524282547243621861641856179e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 11.24
memory used=259.4MB, alloc=4.5MB, time=10.83
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 1.4942341532071161179639575135535
y[1] (numeric) = 1.4942341532071161179639575135532
absolute error = 3e-31
relative error = 2.0077174608551256648590554209234e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 1.4950782468418687088483126392117
y[1] (numeric) = 1.4950782468418687088483126392113
absolute error = 4e-31
relative error = 2.6754452540858027830260058946448e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 1.4959222156776555748084997235449
y[1] (numeric) = 1.4959222156776555748084997235446
absolute error = 3e-31
relative error = 2.0054518667877355925629984851726e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 1.496766058120301064769148041294
y[1] (numeric) = 1.4967660581203010647691480412936
absolute error = 4e-31
relative error = 2.6724283185732850362086510124748e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.378
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 1.4976097725740566983212970988167
y[1] (numeric) = 1.4976097725740566983212970988163
absolute error = 4e-31
relative error = 2.6709227418601131492460088858944e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 1.4984533574416054870335361421403
y[1] (numeric) = 1.4984533574416054870335361421399
absolute error = 4e-31
relative error = 2.6694190914486835655467015917567e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 1.4992968111240662716253097519707
y[1] (numeric) = 1.4992968111240662716253097519703
absolute error = 4e-31
relative error = 2.6679173665427088268038950740278e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 11.24
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.5MB, time=10.99
x[1] = 0.625
y[1] (analytic) = 1.5001401320209980749971959458951
y[1] (numeric) = 1.5001401320209980749971959458947
absolute error = 4e-31
relative error = 2.6664175663450688645186152164250e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.377
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 1.5009833185304044711128087655089
y[1] (numeric) = 1.5009833185304044711128087655085
absolute error = 4e-31
relative error = 2.6649196900578176054297580095835e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 1.5018263690487379697268226427274
y[1] (numeric) = 1.501826369048737969726822642727
absolute error = 4e-31
relative error = 2.6634237368821895645795089972920e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 1.5026692819709044169534609166388
y[1] (numeric) = 1.5026692819709044169534609166384
absolute error = 4e-31
relative error = 2.6619297060186064260183058239309e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 1.5035120556902674116696357114809
y[1] (numeric) = 1.5035120556902674116696357114805
absolute error = 4e-31
relative error = 2.6604375966666836111535547687235e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.376
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 1.5043546885986527377467709892211
y[1] (numeric) = 1.5043546885986527377467709892206
absolute error = 5e-31
relative error = 3.3236842600315460434329861124047e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 1.5051971790863528121051849583642
y[1] (numeric) = 1.5051971790863528121051849583638
absolute error = 4e-31
relative error = 2.6574591392922886485608318140225e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 1.5060395255421311485847521555695
y[1] (numeric) = 1.5060395255421311485847521555691
absolute error = 4e-31
relative error = 2.6559727896650749726698072918570e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 11.24
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.5MB, time=11.15
x[1] = 0.633
y[1] (analytic) = 1.50688172635322683762540942
y[1] (numeric) = 1.5068817263532268376254094199996
absolute error = 4e-31
relative error = 2.6544883583400516144225104055941e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.375
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 1.5077237799053590417509136536536
y[1] (numeric) = 1.5077237799053590417509136536532
absolute error = 4e-31
relative error = 2.6530058445129007750777317482899e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 1.5085656845827315068491027058079
y[1] (numeric) = 1.5085656845827315068491027058075
absolute error = 4e-31
relative error = 2.6515252473785375441078010115849e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 1.5094074387680370892417539377627
y[1] (numeric) = 1.5094074387680370892417539377623
absolute error = 4e-31
relative error = 2.6500465661311163811778912074390e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 1.5102490408424622985369780168861
y[1] (numeric) = 1.5102490408424622985369780168857
absolute error = 4e-31
relative error = 2.6485697999640375858054992170926e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.374
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 1.5110904891856918562569282581704
y[1] (numeric) = 1.5110904891856918562569282581699
absolute error = 5e-31
relative error = 3.3088686850874421933812406313440e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 1.5119317821759132702334483787069
y[1] (numeric) = 1.5119317821759132702334483787064
absolute error = 5e-31
relative error = 3.3070275120509702835277320731157e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 1.5127729181898214247641238573205
y[1] (numeric) = 1.51277291818982142476412385732
absolute error = 5e-31
relative error = 3.3051887298346018950799798905373e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 11.23
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.5MB, time=11.31
x[1] = 0.641
y[1] (analytic) = 1.5136138956026231865210441996892
y[1] (numeric) = 1.5136138956026231865210441996888
absolute error = 4e-31
relative error = 2.6426818699411177317282040015550e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.373
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 1.5144547127880420262044253002665
y[1] (numeric) = 1.5144547127880420262044253002661
absolute error = 4e-31
relative error = 2.6412146670508109866387555363002e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 1.5152953681183226559330827678524
y[1] (numeric) = 1.515295368118322655933082767852
absolute error = 4e-31
relative error = 2.6397493743857717929914386397970e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 1.5161358599642356823635885433957
y[1] (numeric) = 1.5161358599642356823635885433953
absolute error = 4e-31
relative error = 2.6382859911343014459156857994519e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 1.5169761866950822755297843881963
y[1] (numeric) = 1.5169761866950822755297843881959
absolute error = 4e-31
relative error = 2.6368245164839983947576477851374e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.372
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 1.5178163466786988533941668597961
y[1] (numeric) = 1.5178163466786988533941668597957
absolute error = 4e-31
relative error = 2.6353649496217646020900950648454e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 1.5186563382814617821024992231607
y[1] (numeric) = 1.5186563382814617821024992231604
absolute error = 3e-31
relative error = 1.9754304673003589178410080565829e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 1.5194961598682920919328463679514
y[1] (numeric) = 1.5194961598682920919328463679511
absolute error = 3e-31
relative error = 1.9743386520042512076316164859802e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.371
Order of pole = 11.22
memory used=274.6MB, alloc=4.5MB, time=11.48
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 1.5203358098026602089300692204481
y[1] (numeric) = 1.5203358098026602089300692204478
absolute error = 3e-31
relative error = 1.9732482657166382211872156331453e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 1.5211752864465907022166553527109
y[1] (numeric) = 1.5211752864465907022166553527105
absolute error = 4e-31
relative error = 2.6295457437675393049871291009048e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 1.5220145881606670469706025035496
y[1] (numeric) = 1.5220145881606670469706025035493
absolute error = 3e-31
relative error = 1.9710717777189358438046736760860e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 1.5228537133040364030609115375314
y[1] (numeric) = 1.5228537133040364030609115375311
absolute error = 3e-31
relative error = 1.9699856747836242372922291500655e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.37
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 1.5236926602344144093310849812886
y[1] (numeric) = 1.5236926602344144093310849812883
absolute error = 3e-31
relative error = 1.9689009984063723424559823864301e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.369
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 1.5245314273080899935208666925374
y[1] (numeric) = 1.5245314273080899935208666925371
absolute error = 3e-31
relative error = 1.9678177479733483006622497365934e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.369
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 1.5253700128799301978162974381891
y[1] (numeric) = 1.5253700128799301978162974381887
absolute error = 4e-31
relative error = 2.6223145638269871973300347148551e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.369
Order of pole = 11.21
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.5MB, time=11.64
x[1] = 0.656
y[1] (analytic) = 1.526208415303385020018000185476
y[1] (numeric) = 1.5262084153033850200180001854756
absolute error = 4e-31
relative error = 2.6208740299763489902858179060730e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.368
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 1.5270466329304922703174477458621
y[1] (numeric) = 1.5270466329304922703174477458618
absolute error = 3e-31
relative error = 1.9645765461941549335209761420131e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.368
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 1.5278846641118824436708040574067
y[1] (numeric) = 1.5278846641118824436708040574063
absolute error = 4e-31
relative error = 2.6179986578535956249590672396277e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.368
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 1.5287225071967836077597688489584
y[1] (numeric) = 1.528722507196783607759768848958
absolute error = 4e-31
relative error = 2.6165638179389368615950527236193e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.368
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 1.5295601605330263065286937008346
y[1] (numeric) = 1.5295601605330263065286937008342
absolute error = 4e-31
relative error = 2.6151308743593756056976985359612e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.367
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 1.5303976224670484792870756032503
y[1] (numeric) = 1.5303976224670484792870756032499
absolute error = 4e-31
relative error = 2.6136998262921212712243557682705e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.367
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 1.5312348913439003953663720174841
y[1] (numeric) = 1.5312348913439003953663720174837
absolute error = 4e-31
relative error = 2.6122706729137868651015280577850e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.367
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 1.532071965507249604319919167377
y[1] (numeric) = 1.5320719655072496043199191673766
absolute error = 4e-31
relative error = 2.6108434134003951384955878502664e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.366
Order of pole = 11.2
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.5MB, time=11.80
x[1] = 0.664
y[1] (analytic) = 1.5329088432993859016545728320482
y[1] (numeric) = 1.5329088432993859016545728320478
absolute error = 4e-31
relative error = 2.6094180469273847259206726888728e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.366
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 1.5337455230612263100825282764654
y[1] (numeric) = 1.5337455230612263100825282764651
absolute error = 3e-31
relative error = 1.9559959295022122041428996804108e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.366
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 1.5345820031323200762816131465336
y[1] (numeric) = 1.5345820031323200762816131465333
absolute error = 3e-31
relative error = 1.9549297423510339104158755459480e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.366
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 1.5354182818508536831521841714632
y[1] (numeric) = 1.5354182818508536831521841714629
absolute error = 3e-31
relative error = 1.9538649731222959115183618112615e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.365
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 1.5362543575536558775585953601692
y[1] (numeric) = 1.5362543575536558775585953601689
absolute error = 3e-31
relative error = 1.9528016211958706944249548494323e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.365
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 1.5370902285762027135430420521436
y[1] (numeric) = 1.5370902285762027135430420521433
absolute error = 3e-31
relative error = 1.9517396859512155436234188939280e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.365
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 1.5379258932526226109994216884712
y[1] (numeric) = 1.5379258932526226109994216884709
absolute error = 3e-31
relative error = 1.9506791667673770908212733173264e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.364
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 1.53876134991570142979468850725
y[1] (numeric) = 1.5387613499157014297946885072497
absolute error = 3e-31
relative error = 1.9496200630229958555668348657021e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.364
Order of pole = 11.19
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.5MB, time=11.96
x[1] = 0.672
y[1] (analytic) = 1.5395965968968875593250155414668
y[1] (numeric) = 1.5395965968968875593250155414665
absolute error = 3e-31
relative error = 1.9485623740963107767901312905998e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.364
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 1.5404316325262970234939133082222
y[1] (numeric) = 1.5404316325262970234939133082219
absolute error = 3e-31
relative error = 1.9475060993651637352691501701777e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.363
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 1.5412664551327186010992904279322
y[1] (numeric) = 1.5412664551327186010992904279319
absolute error = 3e-31
relative error = 1.9464512382070040670269338311344e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.363
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 1.5421010630436189616162771026285
y[1] (numeric) = 1.5421010630436189616162771026281
absolute error = 4e-31
relative error = 2.5938637199985240902201042317012e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.363
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 1.5429354545851478163624679155882
y[1] (numeric) = 1.5429354545851478163624679155878
absolute error = 4e-31
relative error = 2.5924610054900113168523198192223e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.362
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 1.5437696280821430850320757921245
y[1] (numeric) = 1.5437696280821430850320757921241
absolute error = 4e-31
relative error = 2.5910601732521986913097370568062e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.362
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 1.5446035818581360775853241853302
y[1] (numeric) = 1.5446035818581360775853241853298
absolute error = 4e-31
relative error = 2.5896612224529850266412011943826e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.362
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 1.5454373142353566914792396227786
y[1] (numeric) = 1.5454373142353566914792396227782
absolute error = 4e-31
relative error = 2.5882641522597756510813872418113e-29 %
Correct digits = 30
h = 0.001
memory used=289.9MB, alloc=4.5MB, time=12.12
Complex estimate of poles used for equation 1
Radius of convergence = 4.362
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 1.546270823534738624225841672529
y[1] (numeric) = 1.5462708235347386242258416725286
absolute error = 4e-31
relative error = 2.5868689618394883535181473679145e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.361
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 1.5471041080759246012635621611603
y[1] (numeric) = 1.5471041080759246012635621611599
absolute error = 4e-31
relative error = 2.5854756503585593169208218060605e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.361
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 1.5479371661772716191275601048608
y[1] (numeric) = 1.5479371661772716191275601048604
absolute error = 4e-31
relative error = 2.5840842169829490397373527981069e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.361
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 1.5487699961558562039044332987461
y[1] (numeric) = 1.5487699961558562039044332987457
absolute error = 4e-31
relative error = 2.5826946608781482452681012016644e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.36
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 1.5496025963274796849566618514712
y[1] (numeric) = 1.5496025963274796849566618514708
absolute error = 4e-31
relative error = 2.5813069812091837790243251775554e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.36
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 1.5504349650066734839019531537679
y[1] (numeric) = 1.5504349650066734839019531537676
absolute error = 3e-31
relative error = 1.9349408828554683705595048991469e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.36
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 1.5512671005067044188324918326984
y[1] (numeric) = 1.5512671005067044188324918326981
absolute error = 3e-31
relative error = 1.9339029358774403433153271104385e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.359
Order of pole = 11.17
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.5MB, time=12.28
x[1] = 0.687
y[1] (analytic) = 1.5520990011395800237589321701035
y[1] (numeric) = 1.5520990011395800237589321701032
absolute error = 3e-31
relative error = 1.9328663943455566097322716151178e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.359
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 1.5529306652160538832638042558774
y[1] (numeric) = 1.5529306652160538832638042558771
absolute error = 3e-31
relative error = 1.9318312576322397207464223233337e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.359
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 1.5537620910456309823488388062599
y[1] (numeric) = 1.5537620910456309823488388062596
absolute error = 3e-31
relative error = 1.9307975251095862990858249841096e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 1.5545932769365730714605491062561
y[1] (numeric) = 1.5545932769365730714605491062558
absolute error = 3e-31
relative error = 1.9297651961493714083481692667459e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 1.5554242211959040466782419355254
y[1] (numeric) = 1.5554242211959040466782419355252
absolute error = 2e-31
relative error = 1.2858228467487019420733273819697e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 1.556254922129415345048462610589
y[1] (numeric) = 1.5562549221294153450484626105887
absolute error = 3e-31
relative error = 1.9277047464017758300737153060602e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 1.5570853780416713550497124249516
y[1] (numeric) = 1.5570853780416713550497124249514
absolute error = 2e-31
relative error = 1.2844510829042511135059347675520e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 1.5579155872360148421711097947032
y[1] (numeric) = 1.5579155872360148421711097947029
absolute error = 3e-31
relative error = 1.9256499033573877722441025270821e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.16
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.5MB, time=12.45
x[1] = 0.695
y[1] (analytic) = 1.5587455480145723895884993223199
y[1] (numeric) = 1.5587455480145723895884993223196
absolute error = 3e-31
relative error = 1.9246245827750416264657707501883e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 1.55957525867825985392134577773
y[1] (numeric) = 1.5595752586782598539213457777297
absolute error = 3e-31
relative error = 1.9236006619792751905807246220348e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 1.5604047175267878360535826652182
y[1] (numeric) = 1.5604047175267878360535826652179
absolute error = 3e-31
relative error = 1.9225781403397341958986850827866e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 1.5612339228586671670014175994223
y[1] (numeric) = 1.561233922858667167001417599422
absolute error = 3e-31
relative error = 1.9215570172257774448914693027692e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 1.5620628729712144088109291555287
y[1] (numeric) = 1.5620628729712144088109291555284
absolute error = 3e-31
relative error = 1.9205372920064810997854525807720e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 1.5628915661605573704681221897996
y[1] (numeric) = 1.5628915661605573704681221897993
absolute error = 3e-31
relative error = 1.9195189640506429622439557002254e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 1.5637200007216406388039408487919
y[1] (numeric) = 1.5637200007216406388039408487916
absolute error = 3e-31
relative error = 1.9185020327267867441462554560055e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 1.5645481749482311243765706010612
y[1] (numeric) = 1.5645481749482311243765706010608
absolute error = 4e-31
relative error = 2.5566486632042217726266092099200e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.15
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.5MB, time=12.61
x[1] = 0.703
y[1] (analytic) = 1.5653760871329236223131926358218
y[1] (numeric) = 1.5653760871329236223131926358215
absolute error = 3e-31
relative error = 1.9164723574477700272835065373282e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 1.5662037355671463880931858809808
y[1] (numeric) = 1.5662037355671463880931858809805
absolute error = 3e-31
relative error = 1.9154596122283248158556659028450e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 1.5670311185411667282546037002143
y[1] (numeric) = 1.567031118541166728254603700214
absolute error = 3e-31
relative error = 1.9144482611123005778888055524647e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 1.567858234344096606005584037363
y[1] (numeric) = 1.5678582343440966060055840373627
absolute error = 3e-31
relative error = 1.9134383034669143268829189539138e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 1.5686850812638982617221833884209
y[1] (numeric) = 1.5686850812638982617221833884206
absolute error = 3e-31
relative error = 1.9124297386591344246372959320515e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 1.5695116575873898483139564988501
y[1] (numeric) = 1.5695116575873898483139564988498
absolute error = 3e-31
relative error = 1.9114225660556847898968346528596e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 1.5703379616002510814384351089174
y[1] (numeric) = 1.5703379616002510814384351089171
absolute error = 3e-31
relative error = 1.9104167850230490981500105108267e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 1.5711639915870289045454904042928
y[1] (numeric) = 1.5711639915870289045454904042926
absolute error = 2e-31
relative error = 1.2729415966183166483903729215431e-29 %
Correct digits = 30
h = 0.001
memory used=305.1MB, alloc=4.5MB, time=12.77
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 1.5719897458311431687323950753398
y[1] (numeric) = 1.5719897458311431687323950753396
absolute error = 2e-31
relative error = 1.2722729300899854441433143982722e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 1.5728152226148923273902320484391
y[1] (numeric) = 1.5728152226148923273902320484389
absolute error = 2e-31
relative error = 1.2716051900075644901119544384535e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 1.5736404202194591456221280284078
y[1] (numeric) = 1.5736404202194591456221280284076
absolute error = 2e-31
relative error = 1.2709383759480968021119181250917e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 1.5744653369249164244136209846812
y[1] (numeric) = 1.574465336924916424413620984681
absolute error = 2e-31
relative error = 1.2702724874884791447965925691918e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 1.5752899710102327395353016275215
y[1] (numeric) = 1.5752899710102327395353016275213
absolute error = 2e-31
relative error = 1.2696075242054647962287740117567e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 1.5761143207532781951576997561885
y[1] (numeric) = 1.5761143207532781951576997561883
absolute error = 2e-31
relative error = 1.2689434856756663065868938052944e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 1.576938384430830192158217120869
y[1] (numeric) = 1.5769383844308301921582171208688
absolute error = 2e-31
relative error = 1.2682803714755582510107067357556e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.13
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.5MB, time=12.93
x[1] = 0.718
y[1] (analytic) = 1.5777621603185792110997391263114
y[1] (numeric) = 1.5777621603185792110997391263112
absolute error = 2e-31
relative error = 1.2676181811814799765913500748159e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 1.5785856466911346098603883196716
y[1] (numeric) = 1.5785856466911346098603883196714
absolute error = 2e-31
relative error = 1.2669569143696383435107065399830e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 1.579408841822030435893713150161
y[1] (numeric) = 1.5794088418220304358937131501608
absolute error = 2e-31
relative error = 1.2662965706161104603350289864050e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 1.5802317439837312530984359658194
y[1] (numeric) = 1.5802317439837312530984359658192
absolute error = 2e-31
relative error = 1.2656371494968464134678091597753e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 1.5810543514476379832767146252511
y[1] (numeric) = 1.5810543514476379832767146252509
absolute error = 2e-31
relative error = 1.2649786505876719907668972046234e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 1.5818766624840937621597024515882
y[1] (numeric) = 1.5818766624840937621597024515881
absolute error = 1e-31
relative error = 6.3216053673214569966545142342039e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 1.5826986753623898099790215444282
y[1] (numeric) = 1.5826986753623898099790215444281
absolute error = 1e-31
relative error = 6.3183220885114498872996662689056e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 1.5835203883507713165625946951702
y[1] (numeric) = 1.5835203883507713165625946951701
absolute error = 1e-31
relative error = 6.3150434143856845039787325998582e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.12
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.5MB, time=13.09
x[1] = 0.726
y[1] (analytic) = 1.5843417997164433409331113242071
y[1] (numeric) = 1.584341799716443340933111324207
absolute error = 1e-31
relative error = 6.3117693428209394132321176582661e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 1.5851629077255767253872329769602
y[1] (numeric) = 1.5851629077255767253872329769601
absolute error = 1e-31
relative error = 6.3084998716934393425034231465343e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 1.5859837106433140240334739819444
y[1] (numeric) = 1.5859837106433140240334739819443
absolute error = 1e-31
relative error = 6.3052349988788686236850050714721e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 1.5868042067337754457665228900762
y[1] (numeric) = 1.5868042067337754457665228900761
absolute error = 1e-31
relative error = 6.3019747222523846076633711701370e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 1.5876243942600648116556002824668
y[1] (numeric) = 1.5876243942600648116556002824667
absolute error = 1e-31
relative error = 6.2987190396886310498904016497259e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 1.5884442714842755267242784561455
y[1] (numeric) = 1.5884442714842755267242784561453
absolute error = 2e-31
relative error = 1.2590935898123502934012983443187e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 1.589263836667496566099018375715
y[1] (numeric) = 1.5892638366674965660990183757148
absolute error = 2e-31
relative error = 1.2584442896490804929083658557730e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 1.5900830880698184755035091160434
y[1] (numeric) = 1.5900830880698184755035091160432
absolute error = 2e-31
relative error = 1.2577959070225534071444270497135e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.11
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.5MB, time=13.25
x[1] = 0.734
y[1] (analytic) = 1.5909020239503393860757248189243
y[1] (numeric) = 1.5909020239503393860757248189241
absolute error = 2e-31
relative error = 1.2571484415073135662810615288386e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 1.5917206425671710434844439473951
y[1] (numeric) = 1.591720642567171043484443947395
absolute error = 1e-31
relative error = 6.2825094633890804011755231544350e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 1.5925389421774448513218053472856
y[1] (numeric) = 1.5925389421774448513218053472854
absolute error = 2e-31
relative error = 1.2558562601084292811242924459940e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 1.5933569210373179287483053187771
y[1] (numeric) = 1.5933569210373179287483053187769
absolute error = 2e-31
relative error = 1.2552115433734373599650870147954e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 1.5941745774019791823664695635099
y[1] (numeric) = 1.5941745774019791823664695635097
absolute error = 2e-31
relative error = 1.2545677420470429976180593409859e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 1.5949919095256553922992635072749
y[1] (numeric) = 1.5949919095256553922992635072747
absolute error = 2e-31
relative error = 1.2539248557033699899862298687158e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 1.595808915661617312449134106808
y[1] (numeric) = 1.5958089156616173124491341068078
absolute error = 2e-31
relative error = 1.2532828839164658674717879562529e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 1.5966255940621857849134058338756
y[1] (numeric) = 1.5966255940621857849134058338754
absolute error = 2e-31
relative error = 1.2526418262603045086966336230391e-29 %
Correct digits = 30
h = 0.001
memory used=320.4MB, alloc=4.5MB, time=13.41
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 1.5974419429787378685315830929374
y[1] (numeric) = 1.5974419429787378685315830929372
absolute error = 2e-31
relative error = 1.2520016823087887484922064579132e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 1.5982579606617129815399408724278
y[1] (numeric) = 1.5982579606617129815399408724276
absolute error = 2e-31
relative error = 1.2513624516357529801640880521292e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 1.599073645360619058308614956342
y[1] (numeric) = 1.5990736453606190583086149563418
absolute error = 2e-31
relative error = 1.2507241338149657520368856621641e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 1.5998889953240387201362325346006
y[1] (numeric) = 1.5998889953240387201362325346004
absolute error = 2e-31
relative error = 1.2500867284201323582849260144498e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 1.6007040087996354600769535498296
y[1] (numeric) = 1.6007040087996354600769535498294
absolute error = 2e-31
relative error = 1.2494502350248974240543092373783e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 1.6015186840341598417746226069943
y[1] (numeric) = 1.6015186840341598417746226069941
absolute error = 2e-31
relative error = 1.2488146532028474848818938454873e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 1.6023330192734557122785607530135
y[1] (numeric) = 1.6023330192734557122785607530134
absolute error = 1e-31
relative error = 6.2408999126375678020840225346356e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.1
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.5MB, time=13.57
x[1] = 0.749
y[1] (analytic) = 1.6031470127624664288153559083189
y[1] (numeric) = 1.6031470127624664288153559083188
absolute error = 1e-31
relative error = 6.2377311128618686122503749920819e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 1.6039606627452410994908402035731
y[1] (numeric) = 1.6039606627452410994908402035729
absolute error = 2e-31
relative error = 1.2469133729108556572580592922029e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 1.6047739674649408378962719446937
y[1] (numeric) = 1.6047739674649408378962719446935
absolute error = 2e-31
relative error = 1.2462814331163392222652641273369e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 1.6055869251638450315925694002174
y[1] (numeric) = 1.6055869251638450315925694002172
absolute error = 2e-31
relative error = 1.2456504027621589970322766931220e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 1.6063995340833576244462730791551
y[1] (numeric) = 1.606399534083357624446273079155
absolute error = 1e-31
relative error = 6.2251014071080341428724059811240e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 1.6072117924640134127907426471243
y[1] (numeric) = 1.6072117924640134127907426471242
absolute error = 1e-31
relative error = 6.2219553433396718550863904743423e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 1.6080236985454843553859241159739
y[1] (numeric) = 1.6080236985454843553859241159737
absolute error = 2e-31
relative error = 1.2437627640743556195935396641143e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 1.60883525056658589714985243964
y[1] (numeric) = 1.6088352505665858971498524396398
absolute error = 2e-31
relative error = 1.2431353672140494389890553057115e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.1
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.5MB, time=13.73
x[1] = 0.757
y[1] (analytic) = 1.6096464467652833066348841588762
y[1] (numeric) = 1.609646446765283306634884158876
absolute error = 2e-31
relative error = 1.2425088776601620860417396346729e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 1.6104572853786980272214842620865
y[1] (numeric) = 1.6104572853786980272214842620863
absolute error = 2e-31
relative error = 1.2418832949858097268003958628905e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 1.6112677646431140420022209710642
y[1] (numeric) = 1.611267764643114042002220971064
absolute error = 2e-31
relative error = 1.2412586187640809479488463580247e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 1.6120778827939842523284517213009
y[1] (numeric) = 1.6120778827939842523284517213007
absolute error = 2e-31
relative error = 1.2406348485680392626012614838784e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 1.6128876380659368699920131889946
y[1] (numeric) = 1.6128876380659368699920131889944
absolute error = 2e-31
relative error = 1.2400119839707256104745369267793e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 1.6136970286927818230140578232688
y[1] (numeric) = 1.6136970286927818230140578232686
absolute error = 2e-31
relative error = 1.2393900245451608524435886814372e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 1.6145060529075171750130089747287
y[1] (numeric) = 1.6145060529075171750130089747285
absolute error = 2e-31
relative error = 1.2387689698643482594854537095981e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 1.6153147089423355581234363726571
y[1] (numeric) = 1.6153147089423355581234363726569
absolute error = 2e-31
relative error = 1.2381488195012759960181029958723e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.1
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.5MB, time=13.89
x[1] = 0.765
y[1] (analytic) = 1.6161229950286306194374833952092
y[1] (numeric) = 1.616122995028630619437483395209
absolute error = 2e-31
relative error = 1.2375295730289195976398923076630e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 1.6169309093970034809403073022408
y[1] (numeric) = 1.6169309093970034809403073022405
absolute error = 3e-31
relative error = 1.8553668450303666649133916306599e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 1.617738450277269212910823361224
y[1] (numeric) = 1.6177384502772692129108233612238
absolute error = 2e-31
relative error = 1.2362937900482082217349748959948e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 1.618545615898463320758873595417
y[1] (numeric) = 1.6185456158984633207588735954168
absolute error = 2e-31
relative error = 1.2356772526857633926898917000549e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.1
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 1.6193524044888482452697707223882
y[1] (numeric) = 1.6193524044888482452697707223879
absolute error = 3e-31
relative error = 1.8525924262587894631138755255212e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 1.620158814275919876226997732512
y[1] (numeric) = 1.6201588142759198762269977325117
absolute error = 3e-31
relative error = 1.8516703261221694978867463457830e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 1.6209648434864140793836734834865
y[1] (numeric) = 1.6209648434864140793836734834863
absolute error = 2e-31
relative error = 1.2338330519854749446316875228696e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.11
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.5MB, time=14.05
x[1] = 0.772
y[1] (analytic) = 1.6217704903463132367532246606374
y[1] (numeric) = 1.6217704903463132367532246606371
absolute error = 3e-31
relative error = 1.8498301811863522825042588557331e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 1.6225757530808528001895344761177
y[1] (numeric) = 1.6225757530808528001895344761174
absolute error = 3e-31
relative error = 1.8489121351060336451189815665777e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 1.6233806299145278582266685554554
y[1] (numeric) = 1.6233806299145278582266685554551
absolute error = 3e-31
relative error = 1.8479954390967151851300235948785e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 1.624185119071099716148108589594
y[1] (numeric) = 1.6241851190710997161481085895937
absolute error = 3e-31
relative error = 1.8470800925178733457655555904783e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 1.6249892187736024892552545169965
y[1] (numeric) = 1.6249892187736024892552545169962
absolute error = 3e-31
relative error = 1.8461660947290059579576785694234e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 1.6257929272443497093047862458989
y[1] (numeric) = 1.6257929272443497093047862458986
absolute error = 3e-31
relative error = 1.8452534450896358568662244704168e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 1.6265962427049409440843062337865
y[1] (numeric) = 1.6265962427049409440843062337862
absolute error = 3e-31
relative error = 1.8443421429593144901215063485031e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 1.6273991633762684300955146120024
y[1] (numeric) = 1.6273991633762684300955146120021
absolute error = 3e-31
relative error = 1.8434321876976255177952764017309e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.5MB, time=14.21
x[1] = 0.78
y[1] (analytic) = 1.6282016874785237183139989804589
y[1] (numeric) = 1.6282016874785237183139989804586
absolute error = 3e-31
relative error = 1.8425235786641884041091750608419e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 1.6290038132312043329945515031014
y[1] (numeric) = 1.6290038132312043329945515031011
absolute error = 3e-31
relative error = 1.8416163152186620008899792205174e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 1.6298055388531204434907565114502
y[1] (numeric) = 1.62980553885312044349075651145
absolute error = 2e-31
relative error = 1.2271402644804987485206549025388e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 1.6306068625624015490574224736169
y[1] (numeric) = 1.6306068625624015490574224736167
absolute error = 2e-31
relative error = 1.2265372150201300761459091530086e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.11
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 1.6314077825765031766042629120459
y[1] (numeric) = 1.6314077825765031766042629120457
absolute error = 2e-31
relative error = 1.2259350613378676054569521639338e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 1.6322082971122135913690616572748
y[1] (numeric) = 1.6322082971122135913690616572746
absolute error = 2e-31
relative error = 1.2253338030069460511624150024788e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 1.6330084043856605204783887096287
y[1] (numeric) = 1.6330084043856605204783887096285
absolute error = 2e-31
relative error = 1.2247334396006382489115044448866e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 1.6338081026123178893637639483794
y[1] (numeric) = 1.6338081026123178893637639483792
absolute error = 2e-31
relative error = 1.2241339706922575113825902703606e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.12
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.5MB, time=14.38
x[1] = 0.788
y[1] (analytic) = 1.6346073900070125710009969809066
y[1] (numeric) = 1.6346073900070125710009969809064
absolute error = 2e-31
relative error = 1.2235353958551599789135498423895e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 1.6354062647839311479402625652154
y[1] (numeric) = 1.6354062647839311479402625652153
absolute error = 1e-31
relative error = 6.1146885733137348234010173178596e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 1.6362047251566266870943022701946
y[1] (numeric) = 1.6362047251566266870943022701945
absolute error = 1e-31
relative error = 6.1117046334423364721459472689984e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 1.6370027693380255272519743616677
y[1] (numeric) = 1.6370027693380255272519743616676
absolute error = 1e-31
relative error = 6.1087251575290982038582162225006e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 1.6378003955404340792842053210119
y[1] (numeric) = 1.6378003955404340792842053210118
absolute error = 1e-31
relative error = 6.1057501434417742602203000189267e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.12
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 1.6385976019755456390092279193138
y[1] (numeric) = 1.6385976019755456390092279193137
absolute error = 1e-31
relative error = 6.1027795890483913787136770456513e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 1.6393943868544472126838223861283
y[1] (numeric) = 1.6393943868544472126838223861282
absolute error = 1e-31
relative error = 6.0998134922172603826909708293621e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 1.6401907483876263550871089303319
y[1] (numeric) = 1.6401907483876263550871089303318
absolute error = 1e-31
relative error = 6.0968518508169877443801536584753e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.13
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.5MB, time=14.54
x[1] = 0.796
y[1] (analytic) = 1.6409866847849780201632716937442
y[1] (numeric) = 1.6409866847849780201632716937441
absolute error = 1e-31
relative error = 6.0938946627164871208530072480691e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 1.6417821942558114241894261485646
y[1] (numeric) = 1.6417821942558114241894261485645
absolute error = 1e-31
relative error = 6.0909419257849908629901095756307e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 1.6425772750088569214346739896743
y[1] (numeric) = 1.6425772750088569214346739896742
absolute error = 1e-31
relative error = 6.0879936378920614974746895369628e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 1.6433719252522728922762217249195
y[1] (numeric) = 1.6433719252522728922762217249194
absolute error = 1e-31
relative error = 6.0850497969076031818477629994829e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.13
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 1.6441661431936526437382714330671
y[1] (numeric) = 1.644166143193652643738271433067
absolute error = 1e-31
relative error = 6.0821104007018731326570351663127e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 1.6449599270400313224192245426495
y[1] (numeric) = 1.6449599270400313224192245426494
absolute error = 1e-31
relative error = 6.0791754471454930267321249104705e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 1.6457532749978928397725719878381
y[1] (numeric) = 1.6457532749978928397725719878379
absolute error = 2e-31
relative error = 1.2152489868218920751237473791202e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 1.6465461852731768097066767222529
y[1] (numeric) = 1.6465461852731768097066767222528
absolute error = 1e-31
relative error = 6.0733188594651598732044768694779e-30 %
Correct digits = 31
h = 0.001
memory used=350.9MB, alloc=4.5MB, time=14.70
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 1.6473386560712854984684873206857
y[1] (numeric) = 1.6473386560712854984684873206855
absolute error = 2e-31
relative error = 1.2140794442168749433138149000866e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 1.6481306855970907867760542745271
y[1] (numeric) = 1.6481306855970907867760542745269
absolute error = 2e-31
relative error = 1.2134960033678595800183693052800e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.14
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 1.6489222720549411441645535917206
y[1] (numeric) = 1.6489222720549411441645535917204
absolute error = 2e-31
relative error = 1.2129134489205086965698601605658e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 1.6497134136486686155103554487536
y[1] (numeric) = 1.6497134136486686155103554487534
absolute error = 2e-31
relative error = 1.2123317804494315658671698141683e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 1.650504108581595819697508913019
y[1] (numeric) = 1.6505041085815958196975089130187
absolute error = 3e-31
relative error = 1.8176264962939892470621988766193e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 1.6512943550565429603908471612897
y[1] (numeric) = 1.6512943550565429603908471612894
absolute error = 3e-31
relative error = 1.8167566496024721169241320539368e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.15
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 1.6520841512758348488797511665177
y[1] (numeric) = 1.6520841512758348488797511665174
absolute error = 3e-31
relative error = 1.8158881299619190960263743246573e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.15
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.5MB, time=14.86
x[1] = 0.811
y[1] (analytic) = 1.6528734954413079389564435131573
y[1] (numeric) = 1.6528734954413079389564435131569
absolute error = 4e-31
relative error = 2.4200279156463952302224020975289e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 1.6536623857543173737925178331987
y[1] (numeric) = 1.6536623857543173737925178331983
absolute error = 4e-31
relative error = 2.4188734257116223575350285551601e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.338
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 1.6544508204157440447772433335499
y[1] (numeric) = 1.6544508204157440447772433335495
absolute error = 4e-31
relative error = 2.4177207026285900816003169141973e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 1.6552387976260016622810180127924
y[1] (numeric) = 1.655238797626001662281018012792
absolute error = 4e-31
relative error = 2.4165697455478524058961068840330e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 1.6560263155850438383071784441455
y[1] (numeric) = 1.6560263155850438383071784441452
absolute error = 3e-31
relative error = 1.8115654152151288828631950555638e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.16
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 1.6568133724923711809952084341749
y[1] (numeric) = 1.6568133724923711809952084341745
absolute error = 4e-31
relative error = 2.4142731259965238195265470815430e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 1.6575999665470384009382234558547
y[1] (numeric) = 1.6575999665470384009382234558544
absolute error = 3e-31
relative error = 1.8098455963710757936973083296663e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 1.6583860959476614292774425025286
y[1] (numeric) = 1.6583860959476614292774425025283
absolute error = 3e-31
relative error = 1.8089876701997384746000569038000e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.17
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.5MB, time=15.02
x[1] = 0.819
y[1] (analytic) = 1.6591717588924245475361939185825
y[1] (numeric) = 1.6591717588924245475361939185821
absolute error = 4e-31
relative error = 2.4108414204628149993871564474328e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 1.6599569535790875291558368357456
y[1] (numeric) = 1.6599569535790875291558368357452
absolute error = 4e-31
relative error = 2.4097010415694630231976221558250e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.17
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 1.6607416782049927926958150833468
y[1] (numeric) = 1.6607416782049927926958150833464
absolute error = 4e-31
relative error = 2.4085624227383676599586511159618e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 1.6615259309670725666598958490691
y[1] (numeric) = 1.6615259309670725666598958490687
absolute error = 4e-31
relative error = 2.4074255631218736271116061153824e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 1.6623097100618560659104809462572
y[1] (numeric) = 1.6623097100618560659104809462568
absolute error = 4e-31
relative error = 2.4062904618725690645160514219296e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 1.6630930136854766796327142971291
y[1] (numeric) = 1.6630930136854766796327142971287
absolute error = 4e-31
relative error = 2.4051571181432898513777531762453e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.18
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 1.6638758400336791708099451708234
y[1] (numeric) = 1.663875840033679170809945170823
absolute error = 4e-31
relative error = 2.4040255310871239127476288131519e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 1.6646581873018268871719428235688
y[1] (numeric) = 1.6646581873018268871719428235684
absolute error = 4e-31
relative error = 2.4028956998574155156053002127124e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.339
Order of pole = 11.19
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.5MB, time=15.18
x[1] = 0.827
y[1] (analytic) = 1.6654400536849089835770944778957
y[1] (numeric) = 1.6654400536849089835770944778953
absolute error = 4e-31
relative error = 2.4017676236077695545409276467835e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 1.6662214373775476557896550512148
y[1] (numeric) = 1.6662214373775476557896550512144
absolute error = 4e-31
relative error = 2.4006413014920558270490237315861e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.19
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 1.6670023365740053856129537037683
y[1] (numeric) = 1.6670023365740053856129537037678
absolute error = 5e-31
relative error = 2.9993959158305166230599606522421e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 1.6677827494681921973392991244159
y[1] (numeric) = 1.6677827494681921973392991244155
absolute error = 4e-31
relative error = 2.3983939162792543564389685874722e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.831
y[1] (analytic) = 1.6685626742536729254771625124572
y[1] (numeric) = 1.6685626742536729254771625124568
absolute error = 4e-31
relative error = 2.3972728514912690553182244024670e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 1.6693421091236744937160544472093
y[1] (numeric) = 1.669342109123674493716054447209
absolute error = 3e-31
relative error = 1.7971151530915720123920687315963e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.2
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 1.6701210522710932050893492668769
y[1] (numeric) = 1.6701210522710932050893492668766
absolute error = 3e-31
relative error = 1.7962769799952449891427822801090e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 1.6708995018885020432951482068559
y[1] (numeric) = 1.6708995018885020432951482068556
absolute error = 3e-31
relative error = 1.7954401186961320338106937170072e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.21
memory used=366.2MB, alloc=4.5MB, time=15.35
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 1.6716774561681579851351103775339
y[1] (numeric) = 1.6716774561681579851351103775337
absolute error = 2e-31
relative error = 1.1964030457074102424363450450667e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 1.6724549133020093240310186953799
y[1] (numeric) = 1.6724549133020093240310186953796
absolute error = 3e-31
relative error = 1.7937703289573012456358561401324e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.34
Order of pole = 11.21
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 1.6732318714817030045786861211743
y[1] (numeric) = 1.6732318714817030045786861211741
absolute error = 2e-31
relative error = 1.1952915995013487554902883767990e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 1.6740083288985919680986460081327
y[1] (numeric) = 1.6740083288985919680986460081324
absolute error = 3e-31
relative error = 1.7921057788128447955819303488125e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 1.6747842837437425091429090229186
y[1] (numeric) = 1.6747842837437425091429090229183
absolute error = 3e-31
relative error = 1.7912754670075634389038857604355e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 1.6755597342079416429169079766623
y[1] (numeric) = 1.6755597342079416429169079766621
absolute error = 2e-31
relative error = 1.1936309754694752135433960247092e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.22
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 1.6763346784817044835755909935918
y[1] (numeric) = 1.6763346784817044835755909935915
absolute error = 3e-31
relative error = 1.7896187667710663539440048847444e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.23
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.5MB, time=15.51
x[1] = 0.842
y[1] (analytic) = 1.6771091147552816333524627542738
y[1] (numeric) = 1.6771091147552816333524627542735
absolute error = 3e-31
relative error = 1.7887923770766402094175971000234e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 1.677883041218666582480213081268
y[1] (numeric) = 1.6778830412186665824802130812677
absolute error = 3e-31
relative error = 1.7879672934896964027102363162800e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.23
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 1.6786564560616031198614118897255
y[1] (numeric) = 1.6786564560616031198614118897252
absolute error = 3e-31
relative error = 1.7871435153792458793680339041150e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.341
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 1.6794293574735927544475895066471
y[1] (numeric) = 1.6794293574735927544475895066467
absolute error = 4e-31
relative error = 2.3817613894860687868256518951292e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 1.6802017436439021472848615726619
y[1] (numeric) = 1.6802017436439021472848615726615
absolute error = 4e-31
relative error = 2.3806664974201754118416116229204e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.24
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 1.6809736127615705541840981818238
y[1] (numeric) = 1.6809736127615705541840981818235
absolute error = 3e-31
relative error = 1.7846800076007619431745173472586e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.25
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 1.6817449630154172789734775905611
y[1] (numeric) = 1.6817449630154172789734775905608
absolute error = 3e-31
relative error = 1.7838614450914800869547743516003e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.25
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 1.6825157925940491372911057390854
y[1] (numeric) = 1.6825157925940491372911057390851
absolute error = 3e-31
relative error = 1.7830441849075875658727396874691e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.25
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.5MB, time=15.66
x[1] = 0.85
y[1] (analytic) = 1.6832860996858679308752239797849
y[1] (numeric) = 1.6832860996858679308752239797847
absolute error = 2e-31
relative error = 1.1881521509464354833155557949145e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.25
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 1.6840558824790779323093687999146
y[1] (numeric) = 1.6840558824790779323093687999143
absolute error = 3e-31
relative error = 1.7814135689985162088441538815906e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.342
Order of pole = 11.26
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 1.6848251391616933801796889627784
y[1] (numeric) = 1.6848251391616933801796889627781
absolute error = 3e-31
relative error = 1.7806002120152889842241231582454e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.26
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 1.6855938679215459846014673751014
y[1] (numeric) = 1.6855938679215459846014673751011
absolute error = 3e-31
relative error = 1.7797881548413603550829066334919e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.26
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 1.686362066946292443071737120924
y[1] (numeric) = 1.6863620669462924430717371209238
absolute error = 2e-31
relative error = 1.1859849312322656467878311467250e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.27
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 1.6871297344234219666047234866567
y[1] (numeric) = 1.6871297344234219666047234866564
absolute error = 3e-31
relative error = 1.7781679374083538231263784747080e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.27
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 1.6878968685402638161066864404196
y[1] (numeric) = 1.6878968685402638161066864404193
absolute error = 3e-31
relative error = 1.7773597758934622449226993235176e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.27
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 1.688663467483994848946580923996
y[1] (numeric) = 1.6886634674839948489465809239956
absolute error = 4e-31
relative error = 2.3687372155683305187278390826691e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.343
Order of pole = 11.28
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.5MB, time=15.82
x[1] = 0.858
y[1] (analytic) = 1.689429529441647075678795470159
y[1] (numeric) = 1.6894295294416470756787954701587
absolute error = 3e-31
relative error = 1.7757473441295262090336098744149e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.28
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 1.6901950526001152268740730743335
y[1] (numeric) = 1.6901950526001152268740730743331
absolute error = 4e-31
relative error = 2.3665907635018759048189344277008e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.28
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 1.6909600351461643300145619300281
y[1] (numeric) = 1.6909600351461643300145619300278
absolute error = 3e-31
relative error = 1.7741400965402970043802467906392e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.28
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 1.6917244752664372964087875847698
y[1] (numeric) = 1.6917244752664372964087875847694
absolute error = 4e-31
relative error = 2.3644512203265381080247944310161e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.29
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 1.6924883711474625180821822898885
y[1] (numeric) = 1.6924883711474625180821822898882
absolute error = 3e-31
relative error = 1.7725380281142369391073639437406e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.29
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 1.6932517209756614745986518059886
y[1] (numeric) = 1.6932517209756614745986518059883
absolute error = 3e-31
relative error = 1.7717389345226134354907507646321e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.29
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 1.6940145229373563497685046888021
y[1] (numeric) = 1.6940145229373563497685046888018
absolute error = 3e-31
relative error = 1.7709411338446584362424220529201e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.344
Order of pole = 11.3
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 1.6947767752187776581979141198951
y[1] (numeric) = 1.6947767752187776581979141198948
absolute error = 3e-31
relative error = 1.7701446254553092422282360133744e-29 %
Correct digits = 30
h = 0.001
memory used=381.4MB, alloc=4.5MB, time=15.99
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.3
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 1.6955384760060718816349276658996
y[1] (numeric) = 1.6955384760060718816349276658993
absolute error = 3e-31
relative error = 1.7693494087298180072791006918220e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.3
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 1.6962996234853091150668859511035
y[1] (numeric) = 1.6962996234853091150668859511032
absolute error = 3e-31
relative error = 1.7685554830437546489847604060108e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.31
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 1.6970602158424907225239571138696
y[1] (numeric) = 1.6970602158424907225239571138694
absolute error = 2e-31
relative error = 1.1785085651820065014128796453652e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.31
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 1.6978202512635570025433400899964
y[1] (numeric) = 1.6978202512635570025433400899962
absolute error = 2e-31
relative error = 1.1779810015291983098062144475028e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.345
Order of pole = 11.31
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 1.6985797279343948632485362282999
y[1] (numeric) = 1.6985797279343948632485362282997
absolute error = 2e-31
relative error = 1.1774542973217722578368093840846e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.32
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 1.6993386440408455069979354979152
y[1] (numeric) = 1.699338644040845506997935497915
absolute error = 2e-31
relative error = 1.1769284521443083010780223635762e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.32
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 1.7000969977687121245568105956007
y[1] (numeric) = 1.7000969977687121245568105956005
absolute error = 2e-31
relative error = 1.1764034655816078667167761646860e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.32
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.5MB, time=16.15
x[1] = 0.873
y[1] (analytic) = 1.7008547873037675987466596072114
y[1] (numeric) = 1.7008547873037675987466596072112
absolute error = 2e-31
relative error = 1.1758793372186957647180159788698e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.33
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 1.7016120108317622175256855230015
y[1] (numeric) = 1.7016120108317622175256855230012
absolute error = 3e-31
relative error = 1.7630340999612331411805465603937e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.33
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 1.7023686665384313964540488540465
y[1] (numeric) = 1.7023686665384313964540488540462
absolute error = 3e-31
relative error = 1.7622504801501962167053371683184e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.346
Order of pole = 11.33
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 1.7031247526095034104973778493618
y[1] (numeric) = 1.7031247526095034104973778493615
absolute error = 3e-31
relative error = 1.7614681457734924386023860881557e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.34
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 1.7038802672307071351218693727525
y[1] (numeric) = 1.7038802672307071351218693727522
absolute error = 3e-31
relative error = 1.7606870962100278400532361389936e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.34
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 1.7046352085877797966341623675831
y[1] (numeric) = 1.7046352085877797966341623675828
absolute error = 3e-31
relative error = 1.7599073308390577528095073380472e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.34
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 1.7053895748664747317190150190211
y[1] (numeric) = 1.7053895748664747317190150190208
absolute error = 3e-31
relative error = 1.7591288490401896302836914253692e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.35
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 1.7061433642525691561276662193987
y[1] (numeric) = 1.7061433642525691561276662193985
absolute error = 2e-31
relative error = 1.1722344334622572422680915998899e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.35
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.5MB, time=16.31
x[1] = 0.881
y[1] (analytic) = 1.7068965749318719424696117556767
y[1] (numeric) = 1.7068965749318719424696117556765
absolute error = 2e-31
relative error = 1.1717171557859777261541051340085e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.347
Order of pole = 11.35
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 1.7076492050902314070603757710883
y[1] (numeric) = 1.7076492050902314070603757710881
absolute error = 2e-31
relative error = 1.1712007325850749949247953350456e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.36
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 1.7084012529135431057777085084159
y[1] (numeric) = 1.7084012529135431057777085084157
absolute error = 2e-31
relative error = 1.1706851634469117328279878482801e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.36
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 1.7091527165877576388784921225101
y[1] (numeric) = 1.7091527165877576388784921225099
absolute error = 2e-31
relative error = 1.1701704479590947099557925355875e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.36
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = 1.70990359429888846472848745712
y[1] (numeric) = 1.7099035942988884647284874571198
absolute error = 2e-31
relative error = 1.1696565857094766354633032172896e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.37
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 1.7106538842330197223969061183758
y[1] (numeric) = 1.7106538842330197223969061183756
absolute error = 2e-31
relative error = 1.1691435762861580060058913883159e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.348
Order of pole = 11.37
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 1.7114035845763140630676439468552
y[1] (numeric) = 1.7114035845763140630676439468549
absolute error = 3e-31
relative error = 1.7529471289162334241036183702827e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.37
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 1.7121526935150204902188640945882
y[1] (numeric) = 1.7121526935150204902188640945879
absolute error = 3e-31
relative error = 1.7521801714081065952974695490825e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.38
memory used=392.9MB, alloc=4.5MB, time=16.47
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 1.7129012092354822085224703551169
y[1] (numeric) = 1.7129012092354822085224703551166
absolute error = 3e-31
relative error = 1.7514144912881388757039578586218e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.38
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 1.7136491299241444814148641763289
y[1] (numeric) = 1.7136491299241444814148641763286
absolute error = 3e-31
relative error = 1.7506500879399953188094006029067e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.38
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 1.7143964537675624972902319097416
y[1] (numeric) = 1.7143964537675624972902319097413
absolute error = 3e-31
relative error = 1.7498869607477264154330708306987e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.39
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 1.7151431789524092442674623187196
y[1] (numeric) = 1.7151431789524092442674623187193
absolute error = 3e-31
relative error = 1.7491251090957708235812685772793e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.349
Order of pole = 11.39
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 1.7158893036654833934816481842737
y[1] (numeric) = 1.7158893036654833934816481842734
absolute error = 3e-31
relative error = 1.7483645323689580912062780305853e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.39
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 1.7166348260937171908509800131079
y[1] (numeric) = 1.7166348260937171908509800131076
absolute error = 3e-31
relative error = 1.7476052299525113718812376461083e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.4
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 1.7173797444241843572696943709588
y[1] (numeric) = 1.7173797444241843572696943709585
absolute error = 3e-31
relative error = 1.7468472012320501334019567598171e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.4
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.5MB, time=16.63
x[1] = 0.896
y[1] (analytic) = 1.7181240568441079971775942374994
y[1] (numeric) = 1.7181240568441079971775942374992
absolute error = 2e-31
relative error = 1.1640602970623952395511457581617e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.4
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 1.7188677615408685154565140096594
y[1] (numeric) = 1.7188677615408685154565140096592
absolute error = 2e-31
relative error = 1.1635566416157064956434107667784e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.4
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 1.719610856702011542603957370635
y[1] (numeric) = 1.7196108567020115426039573706348
absolute error = 2e-31
relative error = 1.1630538340725169182179815936724e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.35
Order of pole = 11.41
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 1.7203533405152558681339921946238
y[1] (numeric) = 1.7203533405152558681339921946236
absolute error = 2e-31
relative error = 1.1625518740243142870282696762561e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.41
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 1.7210952111685013821553429749029
y[1] (numeric) = 1.7210952111685013821553429749027
absolute error = 2e-31
relative error = 1.1620507610628595495093966389661e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.41
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 1.7218364668498370250764779477767
y[1] (numeric) = 1.7218364668498370250764779477766
absolute error = 1e-31
relative error = 5.8077524739009429918761329525068e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.42
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 1.7225771057475487453873451396253
y[1] (numeric) = 1.7225771057475487453873451396252
absolute error = 1e-31
relative error = 5.8052553738430702227581676668624e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.42
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 1.7233171260501274654672689912828
y[1] (numeric) = 1.7233171260501274654672689912827
absolute error = 1e-31
relative error = 5.8027625031036349272669557206801e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.42
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.5MB, time=16.80
x[1] = 0.904
y[1] (analytic) = 1.7240565259462770553683770157454
y[1] (numeric) = 1.7240565259462770553683770157453
absolute error = 1e-31
relative error = 5.8002738596469938430603786332718e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.351
Order of pole = 11.43
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 1.7247953036249223145237841242335
y[1] (numeric) = 1.7247953036249223145237841242334
absolute error = 1e-31
relative error = 5.7977894414389137533118829826496e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.43
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 1.7255334572752169613296208143886
y[1] (numeric) = 1.7255334572752169613296208143885
absolute error = 1e-31
relative error = 5.7953092464465802584710576139084e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.43
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 1.7262709850865516305498503553572
y[1] (numeric) = 1.7262709850865516305498503553571
absolute error = 1e-31
relative error = 5.7928332726386065248902406656952e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.44
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 1.7270078852485618784926794301674
y[1] (numeric) = 1.7270078852485618784926794301673
absolute error = 1e-31
relative error = 5.7903615179850420103541769115046e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.44
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 1.727744155951136195907226408619
y[1] (numeric) = 1.7277441559511361959072264086188
absolute error = 2e-31
relative error = 1.1575787960914762333099522884192e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.44
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 1.7284797953844240285489715263509
y[1] (numeric) = 1.7284797953844240285489715263507
absolute error = 2e-31
relative error = 1.1570861316057144237025841621918e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.352
Order of pole = 11.45
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 1.7292148017388438053623737402942
y[1] (numeric) = 1.729214801738843805362373740294
absolute error = 2e-31
relative error = 1.1565943097346050642179394855639e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.45
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.5MB, time=16.96
x[1] = 0.912
y[1] (analytic) = 1.7299491732050909742288999198218
y[1] (numeric) = 1.7299491732050909742288999198216
absolute error = 2e-31
relative error = 1.1561033300733244384897234434139e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.45
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 1.7306829079741460452285733190444
y[1] (numeric) = 1.7306829079741460452285733190442
absolute error = 2e-31
relative error = 1.1556131922173447449362868720134e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.45
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 1.7314160042372826413630099613222
y[1] (numeric) = 1.7314160042372826413630099613219
absolute error = 3e-31
relative error = 1.7326858436436537214588080941628e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.46
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 1.7321484601860755566877736546359
y[1] (numeric) = 1.7321484601860755566877736546356
absolute error = 3e-31
relative error = 1.7319531604570002339815691736631e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.46
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 1.7328802740124088218017428484352
y[1] (numeric) = 1.7328802740124088218017428484349
absolute error = 3e-31
relative error = 1.7312217381606119996446225625511e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.353
Order of pole = 11.46
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 1.7336114439084837766410454414162
y[1] (numeric) = 1.7336114439084837766410454414159
absolute error = 3e-31
relative error = 1.7304915761494984995055713452412e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.47
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 1.7343419680668271505249809578218
y[1] (numeric) = 1.7343419680668271505249809578215
absolute error = 3e-31
relative error = 1.7297626738191258999875598555006e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.47
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 1.7350718446802991494012132297589
y[1] (numeric) = 1.7350718446802991494012132297587
absolute error = 2e-31
relative error = 1.1526900203769463967016550936083e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.47
memory used=408.1MB, alloc=4.5MB, time=17.12
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 1.7358010719421015502373808571287
y[1] (numeric) = 1.7358010719421015502373808571285
absolute error = 2e-31
relative error = 1.1522057638565111610524725075292e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.47
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 1.7365296480457858025061372675125
y[1] (numeric) = 1.7365296480457858025061372675123
absolute error = 2e-31
relative error = 1.1517223459160125253029854062082e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.48
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 1.7372575711852611367104971681918
y[1] (numeric) = 1.7372575711852611367104971681916
absolute error = 2e-31
relative error = 1.1512397661536626639320862747054e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.48
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 1.7379848395548026798962315738354
y[1] (numeric) = 1.7379848395548026798962315738352
absolute error = 2e-31
relative error = 1.1507580241679866370108816539834e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.48
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 1.7387114513490595780979194087005
y[1] (numeric) = 1.7387114513490595780979194087002
absolute error = 3e-31
relative error = 1.7254156793367360936114199987422e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.354
Order of pole = 11.49
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 1.7394374047630631256651299238955
y[1] (numeric) = 1.7394374047630631256651299238952
absolute error = 3e-31
relative error = 1.7246955778834961752491967708246e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.49
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 1.740162697992234901415076840772
y[1] (numeric) = 1.7401626979922349014150768407717
absolute error = 3e-31
relative error = 1.7239767312914707985980468668900e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.49
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.5MB, time=17.28
x[1] = 0.927
y[1] (analytic) = 1.7408873292323949115579522332692
y[1] (numeric) = 1.7408873292323949115579522332689
absolute error = 3e-31
relative error = 1.7232591389603498830508614560173e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.49
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 1.7416112966797697393410156974613
y[1] (numeric) = 1.741611296679769739341015697461
absolute error = 3e-31
relative error = 1.7225428002903051506407523949998e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.5
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 1.7423345985310007013573823280606
y[1] (numeric) = 1.7423345985310007013573823280603
absolute error = 3e-31
relative error = 1.7218277146819926007617987619886e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.5
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 1.7430572329831520104653214316338
y[1] (numeric) = 1.7430572329831520104653214316335
absolute error = 3e-31
relative error = 1.7211138815365549782059955386134e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.5
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 1.7437791982337189452637467572033
y[1] (numeric) = 1.743779198233718945263746757203
absolute error = 3e-31
relative error = 1.7204013002556242345275855329701e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.5
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 1.7445004924806360260694483191386
y[1] (numeric) = 1.7445004924806360260694483191383
absolute error = 3e-31
relative error = 1.7196899702413239827459574038812e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.355
Order of pole = 11.51
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 1.7452211139222851973414856272011
y[1] (numeric) = 1.7452211139222851973414856272008
absolute error = 3e-31
relative error = 1.7189798908962719453982942940044e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.51
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 1.7459410607575040164980323266929
y[1] (numeric) = 1.7459410607575040164980323266926
absolute error = 3e-31
relative error = 1.7182710616235823959531591060978e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.51
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.5MB, time=17.45
x[1] = 0.935
y[1] (analytic) = 1.7466603311855938490708328902725
y[1] (numeric) = 1.7466603311855938490708328902721
absolute error = 4e-31
relative error = 2.2900846424358247914616051512483e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.51
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 1.747378923406328070142303094534
y[1] (numeric) = 1.7473789234063280701423030945336
absolute error = 4e-31
relative error = 2.2891428678803269485322558432302e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.52
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 1.7480968356199602720101775612965
y[1] (numeric) = 1.7480968356199602720101775612962
absolute error = 3e-31
relative error = 1.7161520682783307578835226532331e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.52
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 1.7488140660272324780244796480966
y[1] (numeric) = 1.7488140660272324780244796480962
absolute error = 4e-31
relative error = 2.2872643111149999893192671643807e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.52
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 1.7495306128293833625414614370145
y[1] (numeric) = 1.7495306128293833625414614370141
absolute error = 4e-31
relative error = 2.2863275273195151086162506784293e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.52
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 1.7502464742281564769390344980675
y[1] (numeric) = 1.7502464742281564769390344980671
absolute error = 4e-31
relative error = 2.2853924055261790062214527631065e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.53
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 1.7509616484258084816380854953482
y[1] (numeric) = 1.7509616484258084816380854953478
absolute error = 4e-31
relative error = 2.2844589449438689277841386644181e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.53
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = 1.7516761336251173840739445632509
y[1] (numeric) = 1.7516761336251173840739445632505
absolute error = 4e-31
relative error = 2.2835271447821499117222594365827e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.53
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.5MB, time=17.61
x[1] = 0.943
y[1] (analytic) = 1.7523899280293907825621487088784
y[1] (numeric) = 1.752389928029390782562148708878
absolute error = 4e-31
relative error = 2.2825970042512779654432244929376e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.53
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 1.7531030298424741160025172974235
y[1] (numeric) = 1.7531030298424741160025172974231
absolute error = 4e-31
relative error = 2.2816685225622032328618138153301e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.53
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 1.7538154372687589193654319523365
y[1] (numeric) = 1.753815437268758919365431952336
absolute error = 5e-31
relative error = 2.8509271236582164415376955990021e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.54
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 1.7545271485131910849040889537737
y[1] (numeric) = 1.7545271485131910849040889537732
absolute error = 5e-31
relative error = 2.8497706656959195141183778767776e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.54
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 1.7552381617812791290363684495378
y[1] (numeric) = 1.7552381617812791290363684495373
absolute error = 5e-31
relative error = 2.8486162783321775984938917675482e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.54
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 1.7559484752791024648398415048006
y[1] (numeric) = 1.7559484752791024648398415048001
absolute error = 5e-31
relative error = 2.8474639605841884341500030125120e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.54
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 1.7566580872133196801033132127082
y[1] (numeric) = 1.7566580872133196801033132127077
absolute error = 5e-31
relative error = 2.8463137114700370656680542464928e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.55
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.5MB, time=17.77
x[1] = 0.95
y[1] (analytic) = 1.7573669957911768208781777698294
y[1] (numeric) = 1.7573669957911768208781777698289
absolute error = 5e-31
relative error = 2.8451655300086997372427272936322e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.55
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 1.7580751992205156804727395906719
y[1] (numeric) = 1.7580751992205156804727395906714
absolute error = 5e-31
relative error = 2.8440194152200477764518355171502e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.55
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 1.7587826957097820938325331964807
y[1] (numeric) = 1.7587826957097820938325331964802
absolute error = 5e-31
relative error = 2.8428753661248514672968018430906e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.55
TOP MAIN SOLVE Loop
x[1] = 0.953
y[1] (analytic) = 1.7594894834680342372495537675831
y[1] (numeric) = 1.7594894834680342372495537675825
absolute error = 6e-31
relative error = 3.4100800580937406950389723205093e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.55
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 1.7601955607049509333431898979727
y[1] (numeric) = 1.7601955607049509333431898979722
absolute error = 5e-31
relative error = 2.8405934611024248853049506547126e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.55
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 1.760900925630839961255530237959
y[1] (numeric) = 1.7609009256308399612555302379585
absolute error = 5e-31
relative error = 2.8394556032212646701160084603671e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.56
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 1.7616055764566463720035963578513
y[1] (numeric) = 1.7616055764566463720035963578508
absolute error = 5e-31
relative error = 2.8383198071257078931328826180704e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.56
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 1.7623095113939608089309353151224
y[1] (numeric) = 1.7623095113939608089309353151219
absolute error = 5e-31
relative error = 2.8371860718410773418619462997152e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.56
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.5MB, time=17.93
x[1] = 0.958
y[1] (analytic) = 1.7630127286550278332008870615986
y[1] (numeric) = 1.7630127286550278332008870615981
absolute error = 5e-31
relative error = 2.8360543963936177742049964939941e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.56
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = 1.7637152264527542542737239882601
y[1] (numeric) = 1.7637152264527542542737239882596
absolute error = 5e-31
relative error = 2.8349247798104997169167694321152e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.56
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 1.764417003000717465309742575502
y[1] (numeric) = 1.7644170030007174653097425755015
absolute error = 5e-31
relative error = 2.8337972211198232534823297756950e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.56
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 1.7651180565131737834402702984911
y[1] (numeric) = 1.7651180565131737834402702984906
absolute error = 5e-31
relative error = 2.8326717193506218014329721883206e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.57
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 1.7658183852050667948484346328499
y[1] (numeric) = 1.7658183852050667948484346328494
absolute error = 5e-31
relative error = 2.8315482735328658791192711025519e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.57
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 1.7665179872920357046014252175807
y[1] (numeric) = 1.7665179872920357046014252175802
absolute error = 5e-31
relative error = 2.8304268826974668619599115025475e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.57
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 1.7672168609904236911758649621942
y[1] (numeric) = 1.7672168609904236911758649621937
absolute error = 5e-31
relative error = 2.8293075458762807281849303696931e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.57
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 1.7679150045172862656177911356965
y[1] (numeric) = 1.767915004517286265617791135696
absolute error = 5e-31
relative error = 2.8281902621021117940919950852071e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.57
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.5MB, time=18.09
x[1] = 0.966
y[1] (analytic) = 1.768612416090399635278633248684
y[1] (numeric) = 1.7686124160903996352786332486835
absolute error = 5e-31
relative error = 2.8270750304087164388343415503392e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.57
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 1.7693090939282690720684608385591
y[1] (numeric) = 1.7693090939282690720684608385586
absolute error = 5e-31
relative error = 2.8259618498308068187589910720952e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.57
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 1.7700050362501372851676610940716
y[1] (numeric) = 1.7700050362501372851676610940711
absolute error = 5e-31
relative error = 2.8248507194040545713138611710343e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 1.7707002412759927981380936112559
y[1] (numeric) = 1.7707002412759927981380936112554
absolute error = 5e-31
relative error = 2.8237416381650945085423813982443e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 1.7713947072265783303746574606279
y[1] (numeric) = 1.7713947072265783303746574606274
absolute error = 5e-31
relative error = 2.8226346051515283001842210017115e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 1.772088432323399182838094167464
y[1] (numeric) = 1.7720884323233991828380941674635
absolute error = 5e-31
relative error = 2.8215296194019281464007308586074e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 1.7727814147887316280097391653438
y[1] (numeric) = 1.7727814147887316280097391653433
absolute error = 5e-31
relative error = 2.8204266799558404401436974901414e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 1.7734736528456313040088237801352
y[1] (numeric) = 1.7734736528456313040088237801347
absolute error = 5e-31
relative error = 2.8193257858537894191860022001886e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
memory used=434.8MB, alloc=4.5MB, time=18.25
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 1.7741651447179416128128198394523
y[1] (numeric) = 1.7741651447179416128128198394518
absolute error = 5e-31
relative error = 2.8182269361372808078327734285353e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 1.7748558886303021225212095835512
y[1] (numeric) = 1.7748558886303021225212095835506
absolute error = 6e-31
relative error = 3.3805561558185665379979383418853e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.58
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = 1.7755458828081569736029546798562
y[1] (numeric) = 1.7755458828081569736029546798557
absolute error = 5e-31
relative error = 2.8160353660318429220004899315551e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 1.7762351254777632890678298170416
y[1] (numeric) = 1.7762351254777632890678298170411
absolute error = 5e-31
relative error = 2.8149426437308651600918260108116e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 1.7769236148661995885016785780297
y[1] (numeric) = 1.7769236148661995885016785780292
absolute error = 5e-31
relative error = 2.8138519619913400444114196699988e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 1.7776113492013742059055420666157
y[1] (numeric) = 1.7776113492013742059055420666152
absolute error = 5e-31
relative error = 2.8127633198597349977106889205390e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 1.7782983267120337112785040918675
y[1] (numeric) = 1.778298326712033711278504091867
absolute error = 5e-31
relative error = 2.8116767163835205638708360810439e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.358
Order of pole = 11.59
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.5MB, time=18.41
x[1] = 0.981
y[1] (analytic) = 1.7789845456277713358839906001784
y[1] (numeric) = 1.7789845456277713358839906001779
absolute error = 5e-31
relative error = 2.8105921506111739778974668967136e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 1.7796700041790354011391554890438
y[1] (numeric) = 1.7796700041790354011391554890432
absolute error = 6e-31
relative error = 3.3714115459106192708930503198155e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 1.7803547005971377510668799414652
y[1] (numeric) = 1.7803547005971377510668799414646
absolute error = 6e-31
relative error = 3.3701149540524577127806352152802e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 1.7810386331142621882498079875326
y[1] (numeric) = 1.7810386331142621882498079875321
absolute error = 5e-31
relative error = 2.8073506700172887093456214619165e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 1.7817217999634729132257371323507
y[1] (numeric) = 1.7817217999634729132257371323502
absolute error = 5e-31
relative error = 2.8062742455654440681368707723545e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 1.7824041993787229672635795892269
y[1] (numeric) = 1.7824041993787229672635795892264
absolute error = 5e-31
relative error = 2.8051998540750780555680939420869e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 1.7830858295948626784590069260715
y[1] (numeric) = 1.783085829594862678459006926071
absolute error = 5e-31
relative error = 2.8041274946007824549993852630828e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 1.7837666888476481110887887734196
y[1] (numeric) = 1.7837666888476481110887887734191
absolute error = 5e-31
relative error = 2.8030571661981804471270736527757e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.5MB, time=18.57
x[1] = 0.989
y[1] (analytic) = 1.784446775373749518162734656515
y[1] (numeric) = 1.7844467753737495181627346565145
absolute error = 5e-31
relative error = 2.8019888679239300991289497938679e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 1.7851260874107597971120470036251
y[1] (numeric) = 1.7851260874107597971120470036246
absolute error = 5e-31
relative error = 2.8009225988357278437865823479804e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 1.785804623197202948552792950314
y[1] (numeric) = 1.7858046231972029485527929503135
absolute error = 5e-31
relative error = 2.7998583579923119486032010122218e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.59
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 1.7864823809725425380631027069082
y[1] (numeric) = 1.7864823809725425380631027069077
absolute error = 5e-31
relative error = 2.7987961444534659749356161940093e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.6
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = 1.7871593589771901609126029859601
y[1] (numeric) = 1.7871593589771901609126029859595
absolute error = 6e-31
relative error = 3.3572831487360266725903643069513e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.6
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 1.7878355554525139096824953002546
y[1] (numeric) = 1.787835555452513909682495300254
absolute error = 6e-31
relative error = 3.3560133546406382302565283539391e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.6
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 1.7885109686408468447145908419246
y[1] (numeric) = 1.788510968640846844714590841924
absolute error = 6e-31
relative error = 3.3547459899335219606728047307722e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.357
Order of pole = 11.6
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 1.7891855967854954673275161416205
y[1] (numeric) = 1.7891855967854954673275161416199
absolute error = 6e-31
relative error = 3.3534810534914768186596452233960e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.6
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.5MB, time=18.73
x[1] = 0.997
y[1] (analytic) = 1.7898594381307481957382067855272
y[1] (numeric) = 1.7898594381307481957382067855266
absolute error = 6e-31
relative error = 3.3522185441925766874810101092529e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.6
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 1.7905324909218838436267101394027
y[1] (numeric) = 1.7905324909218838436267101394021
absolute error = 6e-31
relative error = 3.3509584609161744583686119793823e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.6
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 1.7912047534051801012822222948133
y[1] (numeric) = 1.7912047534051801012822222948127
absolute error = 6e-31
relative error = 3.3497008025429060982178646568492e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 4.356
Order of pole = 11.6
Finished!
diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ;
Iterations = 900
Total Elapsed Time = 18 Seconds
Elapsed Time(since restart) = 18 Seconds
Time to Timeout = 2 Minutes 41 Seconds
Percent Done = 100.1 %
> quit
memory used=447.7MB, alloc=4.5MB, time=18.79