|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float
and array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
> #emit pre tan $eq_no = 1
> array_tmp3_a1[1] := sin(array_tmp2[1]);
> array_tmp3_a2[1] := cos(array_tmp2[1]);
> array_tmp3[1] := (array_tmp3_a1[1] / array_tmp3_a2[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre tan $eq_no = 1
> array_tmp3_a1[2] := array_tmp3_a2[1] * array_tmp2[2] / 1;
> array_tmp3_a2[2] := -array_tmp3_a1[1] * array_tmp2[2] / 1;
> array_tmp3[2] := (array_tmp3_a1[2] - ats(2,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre tan $eq_no = 1
> array_tmp3_a1[3] := array_tmp3_a2[2] * array_tmp2[2] / 2;
> array_tmp3_a2[3] := -array_tmp3_a1[2] * array_tmp2[2] / 2;
> array_tmp3[3] := (array_tmp3_a1[3] - ats(3,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre tan $eq_no = 1
> array_tmp3_a1[4] := array_tmp3_a2[3] * array_tmp2[2] / 3;
> array_tmp3_a2[4] := -array_tmp3_a1[3] * array_tmp2[2] / 3;
> array_tmp3[4] := (array_tmp3_a1[4] - ats(4,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre tan $eq_no = 1
> array_tmp3_a1[5] := array_tmp3_a2[4] * array_tmp2[2] / 4;
> array_tmp3_a2[5] := -array_tmp3_a1[4] * array_tmp2[2] / 4;
> array_tmp3[5] := (array_tmp3_a1[5] - ats(5,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> array_tmp3_a1[kkk] := array_tmp3_a2[kkk-1] * array_tmp2[2] / (kkk - 1);
> array_tmp3_a2[kkk] := -array_tmp3_a1[kkk-1] * array_tmp2[2] / (kkk - 1);
> array_tmp3[kkk] := (array_tmp3_a1[kkk] - ats(kkk ,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_const_2D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
array_tmp3_a1[1] := sin(array_tmp2[1]);
array_tmp3_a2[1] := cos(array_tmp2[1]);
array_tmp3[1] := array_tmp3_a1[1]/array_tmp3_a2[1];
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_2D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3_a1[2] := array_tmp3_a2[1]*array_tmp2[2];
array_tmp3_a2[2] := -array_tmp3_a1[1]*array_tmp2[2];
array_tmp3[2] := (
array_tmp3_a1[2] - ats(2, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3_a1[3] := 1/2*array_tmp3_a2[2]*array_tmp2[2];
array_tmp3_a2[3] := -1/2*array_tmp3_a1[2]*array_tmp2[2];
array_tmp3[3] := (
array_tmp3_a1[3] - ats(3, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3_a1[4] := 1/3*array_tmp3_a2[3]*array_tmp2[2];
array_tmp3_a2[4] := -1/3*array_tmp3_a1[3]*array_tmp2[2];
array_tmp3[4] := (
array_tmp3_a1[4] - ats(4, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3_a1[5] := 1/4*array_tmp3_a2[4]*array_tmp2[2];
array_tmp3_a2[5] := -1/4*array_tmp3_a1[4]*array_tmp2[2];
array_tmp3[5] := (
array_tmp3_a1[5] - ats(5, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3_a1[kkk] :=
array_tmp3_a2[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp3_a2[kkk] :=
-array_tmp3_a1[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp3[kkk] := (
array_tmp3_a1[kkk] - ats(kkk, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 16
> # Begin Function number 17
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 26
> # Begin Function number 27
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 27
> # Begin Function number 28
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0);
> end;
exact_soln_y := proc(x) return ln(1.0 + expt(tan(2.0*x + 3.0), 2))/4.0 end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_max_h := 0.1;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-200;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/lin_tanpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.0;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3_g:= Array(0..(max_terms + 1),[]);
> array_tmp3_a1:= Array(0..(max_terms + 1),[]);
> array_tmp3_a2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_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_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3D0[1] := 3.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.0;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> if (glob_max_h < glob_h) then # if number 2
> glob_h := glob_max_h;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;");
> 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,"2013-01-28T16:02:44-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_tan")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"lin_tan diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_tan 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_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_max_h := 0.1;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-200);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/lin_tanpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.0;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0);")
;
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3_g := Array(0 .. max_terms + 1, []);
array_tmp3_a1 := Array(0 .. max_terms + 1, []);
array_tmp3_a2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_g[term] := 0.; term := term + 1
end do;
array_tmp3_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_a1[term] := 0.; term := term + 1
end do;
array_tmp3_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_a2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_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_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_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.;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;");
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, "2013-01-28T16:02:44-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_tan");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file,
"lin_tan diffeq.mxt")
;
logitem_str(html_log_file, "lin_tan maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/lin_tanpostode.ode#################
diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.0;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 5
estimated_steps = 5000
step_error = 2.0000000000000000000000000000000e-14
est_needed_step_err = 2.0000000000000000000000000000000e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.2077402419714610852973019486907e-76
max_value3 = 1.2077402419714610852973019486907e-76
value3 = 1.2077402419714610852973019486907e-76
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = 0.005028957536846446526988236639474
y[1] (numeric) = 0.005028957536846446526988236639474
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.001
y[1] (analytic) = 0.0048874311200864434332053331448668
y[1] (numeric) = 0.0048874311200864434332053331448533
absolute error = 1.35e-32
relative error = 2.7621872653135676415691858985600e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.002
y[1] (analytic) = 0.0047479441889101146192702473730965
y[1] (numeric) = 0.0047479441889101146192702473730872
absolute error = 9.3e-33
relative error = 1.9587424851627846954943216031531e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.003
y[1] (analytic) = 0.004610495605706192932946366049854
y[1] (numeric) = 0.0046104956057061929329463660498517
absolute error = 2.3e-33
relative error = 4.9886177033839886791734825398703e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.004
y[1] (analytic) = 0.0044750842501082455502527075542028
y[1] (numeric) = 0.0044750842501082455502527075541905
absolute error = 1.23e-32
relative error = 2.7485516054144637654752418656580e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.32
x[1] = 0.005
y[1] (analytic) = 0.0043417090189578058874189729581388
y[1] (numeric) = 0.0043417090189578058874189729581427
absolute error = 3.9e-33
relative error = 8.9826379035787277007699906308830e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.006
y[1] (analytic) = 0.0042103688262681012136700816583208
y[1] (numeric) = 0.0042103688262681012136700816583207
absolute error = 1e-34
relative error = 2.3750888372559966793173772734045e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.007
y[1] (analytic) = 0.0040810626031883734068011728722342
y[1] (numeric) = 0.0040810626031883734068011728722364
absolute error = 2.2e-33
relative error = 5.3907528845091145772658387414228e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.008
y[1] (analytic) = 0.0039537892979687903380107974710512
y[1] (numeric) = 0.0039537892979687903380107974710461
absolute error = 5.1e-33
relative error = 1.2899018171302302411441988323878e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.009
y[1] (analytic) = 0.0038285478759259454166601535806148
y[1] (numeric) = 0.0038285478759259454166601535806188
absolute error = 4.0e-33
relative error = 1.0447825467071084724178955385734e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.01
y[1] (analytic) = 0.0037053373194089428695255165737318
y[1] (numeric) = 0.0037053373194089428695255165737299
absolute error = 1.9e-33
relative error = 5.1277382764791806516336164090822e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.011
y[1] (analytic) = 0.0035841566277660663727152055006945
y[1] (numeric) = 0.0035841566277660663727152055006976
absolute error = 3.1e-33
relative error = 8.6491755856444488557582346492148e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.012
y[1] (analytic) = 0.0034650048173120286977371843586722
y[1] (numeric) = 0.0034650048173120286977371843586672
absolute error = 5.0e-33
relative error = 1.4429994368315889024895254256472e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.013
y[1] (analytic) = 0.0033478809212958000762343344109425
y[1] (numeric) = 0.0033478809212958000762343344109474
absolute error = 4.9e-33
relative error = 1.4636123909996927107446467128070e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.014
y[1] (analytic) = 0.0032327839898690130306571165313152
y[1] (numeric) = 0.0032327839898690130306571165313038
absolute error = 1.14e-32
relative error = 3.5263723266774495576013081323896e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.015
y[1] (analytic) = 0.0031197130900549414606232818367048
y[1] (numeric) = 0.0031197130900549414606232818366878
absolute error = 1.70e-32
relative error = 5.4492190497237718569023807633401e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.016
y[1] (analytic) = 0.0030086673057180518169269454379582
y[1] (numeric) = 0.0030086673057180518169269454379423
absolute error = 1.59e-32
relative error = 5.2847318710784769464566517271853e-28 %
Correct digits = 29
h = 0.001
memory used=7.6MB, alloc=3.8MB, time=0.68
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.017
y[1] (analytic) = 0.002899645737534124237110123001042
y[1] (numeric) = 0.0028996457375341242371101230010344
absolute error = 7.6e-33
relative error = 2.6210098363474858931371486921475e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.018
y[1] (analytic) = 0.0027926475029609415582041053319235
y[1] (numeric) = 0.0027926475029609415582041053319207
absolute error = 2.8e-33
relative error = 1.0026328052614097766663096710508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.019
y[1] (analytic) = 0.0026876717362095441636911271393022
y[1] (numeric) = 0.0026876717362095441636911271392837
absolute error = 1.85e-32
relative error = 6.8832810758693220947373913394096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = 0.0025847175882160486629339407051718
y[1] (numeric) = 0.0025847175882160486629339407051545
absolute error = 1.73e-32
relative error = 6.6931877118305683708192895545657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.021
y[1] (analytic) = 0.0024837842266140284422773561053179
y[1] (numeric) = 0.0024837842266140284422773561053034
absolute error = 1.45e-32
relative error = 5.8378662061828329314762048471217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.022
y[1] (analytic) = 0.0023848708357074541677467350823898
y[1] (numeric) = 0.0023848708357074541677467350823786
absolute error = 1.12e-32
relative error = 4.6962711071426236936573451838503e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.023
y[1] (analytic) = 0.0022879766164441923597589604225056
y[1] (numeric) = 0.0022879766164441923597589604225093
absolute error = 3.7e-33
relative error = 1.6171493945380753814301038264062e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.024
y[1] (analytic) = 0.0021931007863900602005266389833056
y[1] (numeric) = 0.0021931007863900602005266389832932
absolute error = 1.24e-32
relative error = 5.6540949129889020086479963024538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.025
y[1] (analytic) = 0.0021002425797034347748812851459838
y[1] (numeric) = 0.002100242579703434774881285145975
absolute error = 8.8e-33
relative error = 4.1899921871132647811648984762193e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.026
y[1] (analytic) = 0.0020094012471104149850709826898886
y[1] (numeric) = 0.0020094012471104149850709826898799
absolute error = 8.7e-33
relative error = 4.3296479548377338026524977500629e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.027
y[1] (analytic) = 0.0019205760558805344197075076484375
y[1] (numeric) = 0.0019205760558805344197075076484328
absolute error = 4.7e-33
relative error = 2.4471824407105667209052644839531e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.0MB, time=1.04
x[1] = 0.028
y[1] (analytic) = 0.0018337662898030234964520447600789
y[1] (numeric) = 0.0018337662898030234964520447600614
absolute error = 1.75e-32
relative error = 9.5432008415204242490566217565196e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.029
y[1] (analytic) = 0.0017489712491636192372423401997519
y[1] (numeric) = 0.0017489712491636192372423401997434
absolute error = 8.5e-33
relative error = 4.8599998450888260041081297150180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.03
y[1] (analytic) = 0.0016661902507219210738822612010082
y[1] (numeric) = 0.0016661902507219210738822612010066
absolute error = 1.6e-33
relative error = 9.6027449404817823536957686927424e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.031
y[1] (analytic) = 0.0015854226276892911206421010228783
y[1] (numeric) = 0.0015854226276892911206421010228721
absolute error = 6.2e-33
relative error = 3.9106291860084812741609159666679e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.032
y[1] (analytic) = 0.0015066677297072973891593627058615
y[1] (numeric) = 0.0015066677297072973891593627058534
absolute error = 8.1e-33
relative error = 5.3761024015385258228613860998701e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.033
y[1] (analytic) = 0.0014299249228266984593899304855517
y[1] (numeric) = 0.0014299249228266984593899304855528
absolute error = 1.1e-33
relative error = 7.6927115713565045448088822071399e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.034
y[1] (analytic) = 0.0013551935894869681586432138484824
y[1] (numeric) = 0.0013551935894869681586432138484762
absolute error = 6.2e-33
relative error = 4.5749921251819945770071971573161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.035
y[1] (analytic) = 0.0012824731284963588388467141391478
y[1] (numeric) = 0.0012824731284963588388467141391438
absolute error = 4.0e-33
relative error = 3.1189737321746595067092771362468e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.036
y[1] (analytic) = 0.0012117629550125018801301742215616
y[1] (numeric) = 0.0012117629550125018801301742215577
absolute error = 3.9e-33
relative error = 3.2184512522581310535602730404871e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.037
y[1] (analytic) = 0.001143062500523544086601654443628
y[1] (numeric) = 0.0011430625005235440866016544436322
absolute error = 4.2e-33
relative error = 3.6743397653901874513989016612325e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.038
y[1] (analytic) = 0.0010763712128298186778121300218449
y[1] (numeric) = 0.0010763712128298186778121300218306
absolute error = 1.43e-32
relative error = 1.3285379457896114731853506093597e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.039
y[1] (analytic) = 0.0010116885560260496168760942770028
y[1] (numeric) = 0.001011688556026049616876094276987
absolute error = 1.58e-32
relative error = 1.5617454507998972851371064943644e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=1.41
x[1] = 0.04
y[1] (analytic) = 0.00094901401048408805353771943721842
y[1] (numeric) = 0.00094901401048408805353771943720128
absolute error = 1.714e-32
relative error = 1.8060850325336038106299390110966e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.041
y[1] (analytic) = 0.00088834707283617969764988555636988
y[1] (numeric) = 0.00088834707283617969764988555635154
absolute error = 1.834e-32
relative error = 2.0645084067702088228768764865090e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.042
y[1] (analytic) = 0.0008296872559587619755713259437347
y[1] (numeric) = 0.00082968725595876197557132594372949
absolute error = 5.21e-33
relative error = 6.2794745400536236806823607724914e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.043
y[1] (analytic) = 0.00077303408895678985888971655088852
y[1] (numeric) = 0.00077303408895678985888971655089146
absolute error = 2.94e-33
relative error = 3.8031957995119366943815954617802e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.044
y[1] (analytic) = 0.00071838711714858929165019475438505
y[1] (numeric) = 0.00071838711714858929165019475438291
absolute error = 2.14e-33
relative error = 2.9788952904585120210203721431201e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.045
y[1] (analytic) = 0.00066574590205123717891394401493478
y[1] (numeric) = 0.00066574590205123717891394401492976
absolute error = 5.02e-33
relative error = 7.5404144201756580054294895082377e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.046
y[1] (analytic) = 0.00061511002136646693599451627535462
y[1] (numeric) = 0.00061511002136646693599451627535941
absolute error = 4.79e-33
relative error = 7.7872247786810802021646293640539e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.047
y[1] (analytic) = 0.00056647906896709863412485296234315
y[1] (numeric) = 0.00056647906896709863412485296234514
absolute error = 1.99e-33
relative error = 3.5129276773253207680381406160045e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.048
y[1] (analytic) = 0.00051985265488399281459985615600935
y[1] (numeric) = 0.00051985265488399281459985615600732
absolute error = 2.03e-33
relative error = 3.9049526455780101104501436335223e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.049
y[1] (analytic) = 0.00047523040529352707962218155194278
y[1] (numeric) = 0.00047523040529352707962218155194564
absolute error = 2.86e-33
relative error = 6.0181334530426664572352664195036e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.05
y[1] (analytic) = 0.00043261196250559460415698231027005
y[1] (numeric) = 0.00043261196250559460415698231027042
absolute error = 3.7e-34
relative error = 8.5526992332121445516348890111154e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.051
y[1] (analytic) = 0.00039199698495212374907891698266422
y[1] (numeric) = 0.00039199698495212374907891698265617
absolute error = 8.05e-33
relative error = 2.0535872236321359900432457841445e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.1MB, time=1.77
x[1] = 0.052
y[1] (analytic) = 0.00035338514717611799177611659953022
y[1] (numeric) = 0.00035338514717611799177611659951558
absolute error = 1.464e-32
relative error = 4.1427887156513127900271752065017e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.053
y[1] (analytic) = 0.00031677613982121542616523958178498
y[1] (numeric) = 0.00031677613982121542616523958178373
absolute error = 1.25e-33
relative error = 3.9460042688362977450070667348052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.054
y[1] (analytic) = 0.00028216966962176711977346581374998
y[1] (numeric) = 0.00028216966962176711977346581373224
absolute error = 1.774e-32
relative error = 6.2869974734632151016263912367143e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.055
y[1] (analytic) = 0.00024956545939343365116151464323032
y[1] (numeric) = 0.00024956545939343365116151464322889
absolute error = 1.43e-33
relative error = 5.7299596004815757511321304820596e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.056
y[1] (analytic) = 0.00021896324802429918650072246754888
y[1] (numeric) = 0.00021896324802429918650072246753499
absolute error = 1.389e-32
relative error = 6.3435303071767430760477531678753e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.057
y[1] (analytic) = 0.00019036279046650248958107641576591
y[1] (numeric) = 0.0001903627904665024895810764157602
absolute error = 5.71e-33
relative error = 2.9995357737754794093227906146763e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.058
y[1] (analytic) = 0.0001637638577283842949200505065549
y[1] (numeric) = 0.00016376385772838429492005050655941
absolute error = 4.51e-33
relative error = 2.7539654124905890851656981598866e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.059
y[1] (analytic) = 0.00013916623686715050896829590201034
y[1] (numeric) = 0.00013916623686715050896829590200152
absolute error = 8.82e-33
relative error = 6.3377441242588608700899405620931e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.06
y[1] (analytic) = 0.00011656973098205073967185191429692
y[1] (numeric) = 0.00011656973098205073967185191428365
absolute error = 1.327e-32
relative error = 1.1383744208900420198401262730327e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.061
y[1] (analytic) = 9.5974159208071689855712475393170e-05
y[1] (numeric) = 9.5974159208071689855712475384473e-05
absolute error = 8.697e-33
relative error = 9.0618142130788872401180673006089e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.062
y[1] (analytic) = 7.7379356710144985044436625748028e-05
y[1] (numeric) = 7.7379356710144985044436625729284e-05
absolute error = 1.8744e-32
relative error = 2.4223514897148955021549514158139e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.063
y[1] (analytic) = 6.0785174677869041436154284169572e-05
y[1] (numeric) = 6.0785174677869041436154284159220e-05
absolute error = 1.0352e-32
relative error = 1.7030468456922944267577192088638e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.1MB, time=2.15
x[1] = 0.064
y[1] (analytic) = 4.6191480320744614800904228184465e-05
y[1] (numeric) = 4.6191480320744614800904228169421e-05
absolute error = 1.5044e-32
relative error = 3.2568776526617902661555967861745e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.065
y[1] (analytic) = 3.3598156863923706086855710712898e-05
y[1] (numeric) = 3.3598156863923706086855710709950e-05
absolute error = 2.948e-33
relative error = 8.7742908396425726320230095214059e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.066
y[1] (analytic) = 2.3005103544471534492706843399782e-05
y[1] (numeric) = 2.3005103544471534492706843396925e-05
absolute error = 2.857e-33
relative error = 1.2418983441987502881493126431479e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.067
y[1] (analytic) = 1.4412235608141323705513400174570e-05
y[1] (numeric) = 1.4412235608141323705513400168571e-05
absolute error = 5.999e-33
relative error = 4.1624354216158016338097199635005e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.068
y[1] (analytic) = 7.8194843066616819144666252571890e-06
y[1] (numeric) = 7.8194843066616819144666252551382e-06
absolute error = 2.0508e-33
relative error = 2.6226793476046168955946616554519e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.069
y[1] (analytic) = 3.2267968955363910967882506742905e-06
y[1] (numeric) = 3.2267968955363910967882506674538e-06
absolute error = 6.8367e-33
relative error = 2.1187264712747078505784478168493e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.07
y[1] (analytic) = 6.3413663235645593602095683656568e-07
y[1] (numeric) = 6.3413663235645593602095683826360e-07
absolute error = 1.69792e-33
relative error = 2.6775302251354223254759862932652e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.071
y[1] (analytic) = 4.1482775624297579634818655685930e-08
y[1] (numeric) = 4.1482775624297579634818642083400e-08
absolute error = 1.3602530e-32
relative error = 3.2790790382967121404027040164804e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.072
y[1] (analytic) = 1.4488305840900122761136250980282e-06
y[1] (numeric) = 1.4488305840900122761136250852116e-06
absolute error = 1.28166e-32
relative error = 8.8461688624898162736477778593144e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.073
y[1] (analytic) = 4.8561913165996497555957120309285e-06
y[1] (numeric) = 4.8561913165996497555957120326642e-06
absolute error = 1.7357e-33
relative error = 3.5742002051421508947273043170718e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.074
y[1] (analytic) = 1.0263592232455501036786806568277e-05
y[1] (numeric) = 1.0263592232455501036786806554716e-05
absolute error = 1.3561e-32
relative error = 1.3212722887720973424762061199277e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.075
y[1] (analytic) = 1.7671076592288420160301112521116e-05
y[1] (numeric) = 1.7671076592288420160301112514367e-05
absolute error = 6.749e-33
relative error = 3.8192353277135552768902391940132e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.1MB, time=2.52
x[1] = 0.076
y[1] (analytic) = 2.7078703659442239168885018837895e-05
y[1] (numeric) = 2.7078703659442239168885018826259e-05
absolute error = 1.1636e-32
relative error = 4.2971037854474883004336006965353e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.077
y[1] (analytic) = 3.8486548701870370482199443269055e-05
y[1] (numeric) = 3.8486548701870370482199443272697e-05
absolute error = 3.642e-33
relative error = 9.4630465002516735711936810601079e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.078
y[1] (analytic) = 5.1894702994544725652047229457088e-05
y[1] (numeric) = 5.1894702994544725652047229456593e-05
absolute error = 4.95e-34
relative error = 9.5385457751253607537519707293791e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.079
y[1] (analytic) = 6.7303273822377114337198445830102e-05
y[1] (numeric) = 6.7303273822377114337198445818131e-05
absolute error = 1.1971e-32
relative error = 1.7786653338132060146181276562465e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = 8.4712384483653322209358832469892e-05
y[1] (numeric) = 8.4712384483653322209358832474384e-05
absolute error = 4.492e-33
relative error = 5.3026485175456333277141964488398e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.081
y[1] (analytic) = 0.00010412217429398010139741835450596
y[1] (numeric) = 0.00010412217429398010139741835448851
absolute error = 1.745e-32
relative error = 1.6759158285276880100092021384133e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.082
y[1] (analytic) = 0.00012553279859074534199998533841028
y[1] (numeric) = 0.00012553279859074534199998533840448
absolute error = 5.80e-33
relative error = 4.6203064578435946390396304517074e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.083
y[1] (analytic) = 0.00014894442873809172815043934889464
y[1] (numeric) = 0.00014894442873809172815043934888739
absolute error = 7.25e-33
relative error = 4.8675872346649592426721869532149e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.084
y[1] (analytic) = 0.00017435725213240421710841075693488
y[1] (numeric) = 0.00017435725213240421710841075692675
absolute error = 8.13e-33
relative error = 4.6628401747385895779206925929371e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.085
y[1] (analytic) = 0.00020177147220831171488081114041766
y[1] (numeric) = 0.00020177147220831171488081114041167
absolute error = 5.99e-33
relative error = 2.9687051070410189017051099938592e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.086
y[1] (analytic) = 0.00023118730844520335694839758182592
y[1] (numeric) = 0.0002311873084452033569483975818136
absolute error = 1.232e-32
relative error = 5.3290122554111225460171747241128e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.087
y[1] (analytic) = 0.00026260499637425983779446472001822
y[1] (numeric) = 0.00026260499637425983779446472000387
absolute error = 1.435e-32
relative error = 5.4644809497640488382420742884126e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.1MB, time=2.89
x[1] = 0.088
y[1] (analytic) = 0.00029602478758600026810473873784448
y[1] (numeric) = 0.00029602478758600026810473873782639
absolute error = 1.809e-32
relative error = 6.1109747421892990423662869587499e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.089
y[1] (analytic) = 0.00033144694973834507373602425640845
y[1] (numeric) = 0.00033144694973834507373602425638949
absolute error = 1.896e-32
relative error = 5.7203724502420783527215117370693e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.09
y[1] (analytic) = 0.00036887176656519548583976530282485
y[1] (numeric) = 0.00036887176656519548583976530280648
absolute error = 1.837e-32
relative error = 4.9800504308190884342356330059549e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.091
y[1] (analytic) = 0.00040829953788553020687957281446722
y[1] (numeric) = 0.0004082995378855302068795728144493
absolute error = 1.792e-32
relative error = 4.3889346759495976808453297232765e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.092
y[1] (analytic) = 0.0004497305796130198727031027322963
y[1] (numeric) = 0.00044973057961301987270310273228222
absolute error = 1.408e-32
relative error = 3.1307633143637757208525822871921e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.093
y[1] (analytic) = 0.00049316522376615996632261205848212
y[1] (numeric) = 0.00049316522376615996632261205846408
absolute error = 1.804e-32
relative error = 3.6580032675933119065305691349865e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.094
y[1] (analytic) = 0.0005386038184789228746292597484682
y[1] (numeric) = 0.00053860381847892287462925974845582
absolute error = 1.238e-32
relative error = 2.2985355051812476539503088127548e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.095
y[1] (analytic) = 0.00058604672801192981491795316933262
y[1] (numeric) = 0.00058604672801192981491795316932215
absolute error = 1.047e-32
relative error = 1.7865469594067707608326502437765e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.096
y[1] (analytic) = 0.00063549433276414339383648179123282
y[1] (numeric) = 0.00063549433276414339383648179122409
absolute error = 8.73e-33
relative error = 1.3737337297766338622526606852869e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.097
y[1] (analytic) = 0.00068694702928508159719905577169812
y[1] (numeric) = 0.00068694702928508159719905577168813
absolute error = 9.99e-33
relative error = 1.4542606014901580788167673825527e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.098
y[1] (analytic) = 0.00074040523028755404502442216790692
y[1] (numeric) = 0.00074040523028755404502442216789257
absolute error = 1.435e-32
relative error = 1.9381278539087082027149492335588e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.099
y[1] (analytic) = 0.00079586936466092138217672650955138
y[1] (numeric) = 0.00079586936466092138217672650954687
absolute error = 4.51e-33
relative error = 5.6667591444752705844458160804801e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.1MB, time=3.27
x[1] = 0.1
y[1] (analytic) = 0.00085333987748487871110750081016675
y[1] (numeric) = 0.0008533398774848787111075008101553
absolute error = 1.145e-32
relative error = 1.3417865849358358886525781469499e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 0.00091281723004376400942388758057582
y[1] (numeric) = 0.00091281723004376400942388758057661
absolute error = 7.9e-34
relative error = 8.6545255062957600659917395751991e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 0.00097430189984139251134576897959995
y[1] (numeric) = 0.00097430189984139251134576897959254
absolute error = 7.41e-33
relative error = 7.6054455002153650843601771537510e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 0.0010377943806164180685671967750317
y[1] (numeric) = 0.0010377943806164180685671967750213
absolute error = 1.04e-32
relative error = 1.0021252951690409627093642584153e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 0.0011032951823582225426097689125834
y[1] (numeric) = 0.001103295182358222542609768912579
absolute error = 4.4e-33
relative error = 3.9880533064553792318638604496197e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 0.0011708048313233343174517503477301
y[1] (numeric) = 0.0011708048313233343174517503477152
absolute error = 1.49e-32
relative error = 1.2726288448228271967984403193277e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 0.0012403238700523770580411898749615
y[1] (numeric) = 0.001240323870052377058041189874954
absolute error = 7.5e-33
relative error = 6.0468077581086027144584651828503e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 0.0013118528573875498772584646246704
y[1] (numeric) = 0.0013118528573875498772584646246574
absolute error = 1.30e-32
relative error = 9.9096479660748394033288310887734e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 0.0013853923684906401109880372876331
y[1] (numeric) = 0.0013853923684906401109880372876235
absolute error = 9.6e-33
relative error = 6.9294448405681822078134508201508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 0.0014609429948615699381952103593549
y[1] (numeric) = 0.0014609429948615699381952103593508
absolute error = 4.1e-33
relative error = 2.8064065568749251801693760039369e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0.0015385053443574781202858047696314
y[1] (numeric) = 0.0015385053443574781202858047696277
absolute error = 3.7e-33
relative error = 2.4049315223829925155998996749766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 0.0016180800412123381715595016319725
y[1] (numeric) = 0.0016180800412123381715595016319736
absolute error = 1.1e-33
relative error = 6.7981803865266803614156060334535e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 0.0016996677260571143102556172574426
memory used=38.1MB, alloc=4.1MB, time=3.64
y[1] (numeric) = 0.0016996677260571143102556172574426
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 0.0017832690559404565775379129172589
y[1] (numeric) = 0.0017832690559404565775379129172459
absolute error = 1.30e-32
relative error = 7.2899823819037156559659748824572e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 0.0018688847043499365497772809967357
y[1] (numeric) = 0.001868884704349936549777280996723
absolute error = 1.27e-32
relative error = 6.7954967850290711679045993499909e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 0.0019565153612338251076724369109643
y[1] (numeric) = 0.0019565153612338251076724369109694
absolute error = 5.1e-33
relative error = 2.6066751639423974341717942601880e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 0.0020461617330234137641037509366714
y[1] (numeric) = 0.0020461617330234137641037509366593
absolute error = 1.21e-32
relative error = 5.9135110410461099398636929543364e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 0.0021378245426558810911487770569303
y[1] (numeric) = 0.0021378245426558810911487770569306
absolute error = 3e-34
relative error = 1.4032957055834963285857457573022e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 0.0022315045295977058254046106211106
y[1] (numeric) = 0.0022315045295977058254046106211024
absolute error = 8.2e-33
relative error = 3.6746508426215431557554067709080e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 0.0023272024498686282696667000921026
y[1] (numeric) = 0.0023272024498686282696667000920984
absolute error = 4.2e-33
relative error = 1.8047419983753850375723658522442e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0.0024249190760661616481109516995692
y[1] (numeric) = 0.0024249190760661616481109516995621
absolute error = 7.1e-33
relative error = 2.9279327586956073511158494311287e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 0.0025246551973906551114207359616748
y[1] (numeric) = 0.0025246551973906551114207359616789
absolute error = 4.1e-33
relative error = 1.6239841401857706015964205729307e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 0.0026264116196709101277976044507855
y[1] (numeric) = 0.0026264116196709101277976044507689
absolute error = 1.66e-32
relative error = 6.3204106605650728641506765277867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 0.0027301891653903520354990635975868
y[1] (numeric) = 0.0027301891653903520354990635975871
absolute error = 3e-34
relative error = 1.0988249598342653448599110978931e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 0.0028359886737137585724635775136702
y[1] (numeric) = 0.0028359886737137585724635775136536
absolute error = 1.66e-32
relative error = 5.8533379042949830192369969388381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=41.9MB, alloc=4.2MB, time=4.02
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 0.0029438110005145472387170704845305
y[1] (numeric) = 0.0029438110005145472387170704845155
absolute error = 1.50e-32
relative error = 5.0954358134330490551662299934042e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 0.0030536570184026233876115986046035
y[1] (numeric) = 0.0030536570184026233876115986045852
absolute error = 1.83e-32
relative error = 5.9928144810358504814627815010489e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 0.0031655276167527909825306265441592
y[1] (numeric) = 0.0031655276167527909825306265441428
absolute error = 1.64e-32
relative error = 5.1808109059630242277421058988906e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 0.003279423701733727996511589105806
y[1] (numeric) = 0.0032794237017337279965115891057962
absolute error = 9.8e-33
relative error = 2.9883299296821721261868387930964e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 0.0033953461963375284732902903667938
y[1] (numeric) = 0.0033953461963375284732902903667772
absolute error = 1.66e-32
relative error = 4.8890448985455408740729898256728e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0.00351329604040981330956839202732
y[1] (numeric) = 0.0035132960404098133095683920273139
absolute error = 6.1e-33
relative error = 1.7362613141158628364795050841502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 0.0036332741906804118598500082104922
y[1] (numeric) = 0.0036332741906804118598500082104943
absolute error = 2.1e-33
relative error = 5.7799105979577281174798451266883e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 0.0037552816207946165069915434353768
y[1] (numeric) = 0.003755281620794616506991543435365
absolute error = 1.18e-32
relative error = 3.1422410331779919627147978003504e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 0.0038793193213450123836657178369248
y[1] (numeric) = 0.0038793193213450123836657178369272
absolute error = 2.4e-33
relative error = 6.1866523510827863415891796428479e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 0.0040053882999038844722616009869938
y[1] (numeric) = 0.004005388299903884472261600986996
absolute error = 2.2e-33
relative error = 5.4926010545664010275897936259485e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 0.0041334895810562043533328540261898
y[1] (numeric) = 0.0041334895810562043533328540261726
absolute error = 1.72e-32
relative error = 4.1611330239775258330947175050997e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 0.0042636242064331989155717405713338
y[1] (numeric) = 0.0042636242064331989155717405713363
absolute error = 2.5e-33
relative error = 5.8635561647948655604421413893103e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.2MB, time=4.39
x[1] = 0.137
y[1] (analytic) = 0.0043957932347465033834323426041325
y[1] (numeric) = 0.0043957932347465033834323426041342
absolute error = 1.7e-33
relative error = 3.8673338558382753522738326227560e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 0.004529997741822901061958393236575
y[1] (numeric) = 0.0045299977418229010619583932365607
absolute error = 1.43e-32
relative error = 3.1567344654449177254158627195995e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 0.0046662388206396522420948523466132
y[1] (numeric) = 0.0046662388206396522420948523465973
absolute error = 1.59e-32
relative error = 3.4074552570415617100788411078061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 0.0048045175813604147537834966655328
y[1] (numeric) = 0.0048045175813604147537834966655204
absolute error = 1.24e-32
relative error = 2.5809042822752871967407168881709e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 0.0049448351513717586984671218425638
y[1] (numeric) = 0.0049448351513717586984671218425564
absolute error = 7.4e-33
relative error = 1.4965109601170724716895813567327e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 0.0050871926753202779372602661182
y[1] (numeric) = 0.0050871926753202779372602661181919
absolute error = 8.1e-33
relative error = 1.5922337754761849374526318273550e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 12.56
Order of pole = 1.124e+04
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 0.0052315913151503009559925274328505
y[1] (numeric) = 0.0052315913151503009559925274328326
absolute error = 1.79e-32
relative error = 3.4215210863591209455495537133018e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 6.056
Order of pole = 5420
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 0.005378032250142203773599481328131
y[1] (numeric) = 0.0053780322501422037735994813281266
absolute error = 4.4e-33
relative error = 8.1814310427083380975045166448156e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 4.076
Order of pole = 3648
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 0.0055265166769513276059318996381205
y[1] (numeric) = 0.0055265166769513276059318996381136
absolute error = 6.9e-33
relative error = 1.2485260433170984080945379830655e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.119
Order of pole = 2792
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 0.0056770458096475040429824652464865
y[1] (numeric) = 0.0056770458096475040429824652464728
absolute error = 1.37e-32
relative error = 2.4132269598244888474316977703275e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 2.555
Order of pole = 2289
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 0.005829620879755190543796584634863
y[1] (numeric) = 0.0058296208797551905437965846348582
absolute error = 4.8e-33
relative error = 8.2338115959979399105105495709151e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 2.185
Order of pole = 1958
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 0.0059842431362942190999463903576035
y[1] (numeric) = 0.0059842431362942190999463903575889
absolute error = 1.46e-32
relative error = 2.4397404429394798177490926241403e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.923
Order of pole = 1724
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.2MB, time=4.77
x[1] = 0.149
y[1] (analytic) = 0.006140913845821160965410838282163
y[1] (numeric) = 0.0061409138458211609654108382821443
absolute error = 1.87e-32
relative error = 3.0451493815900363269130522371862e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.729
Order of pole = 1550
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0.006299634292471310398026244602296
y[1] (numeric) = 0.0062996342924713103980262446022817
absolute error = 1.43e-32
relative error = 2.2699730390841770634390331071451e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.579
Order of pole = 1417
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 0.0064604057780012904053570485822012
y[1] (numeric) = 0.0064604057780012904053570485821864
absolute error = 1.48e-32
relative error = 2.2908777727857830293473020451008e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.46
Order of pole = 1311
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 0.0066232296218322835358924715320432
y[1] (numeric) = 0.0066232296218322835358924715320316
absolute error = 1.16e-32
relative error = 1.7514114204590898193438690940742e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.363
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 0.0067881071610938908049075842913512
y[1] (numeric) = 0.0067881071610938908049075842913552
absolute error = 4.0e-33
relative error = 5.8926588886605135186518357412598e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.284
Order of pole = 1154
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 0.0069550397506686218931436803597495
y[1] (numeric) = 0.0069550397506686218931436803597497
absolute error = 2e-34
relative error = 2.8756126085515618302141864375223e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.217
Order of pole = 1095
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 0.0071240287632370198056694392184545
y[1] (numeric) = 0.0071240287632370198056694392184527
absolute error = 1.8e-33
relative error = 2.5266602084606338482855948261211e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.16
Order of pole = 1045
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 0.007295075589323423227887888798306
y[1] (numeric) = 0.007295075589323423227887888798288
absolute error = 1.80e-32
relative error = 2.4674178875327318753387420295409e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.111
Order of pole = 1002
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 0.0074681816373423698656614483811728
y[1] (numeric) = 0.0074681816373423698656614483811631
absolute error = 9.7e-33
relative error = 1.2988436102702833990587543680738e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.069
Order of pole = 964.3
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 0.0076433483336456441069452422851568
y[1] (numeric) = 0.0076433483336456441069452422851382
absolute error = 1.86e-32
relative error = 2.4334884644892753592607033244059e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 1.032
Order of pole = 931.9
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 0.0078205771225699723931543886623485
y[1] (numeric) = 0.0078205771225699723931543886623522
absolute error = 3.7e-33
relative error = 4.7311086407189833330788799418545e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.9994
Order of pole = 903.4
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0.0079998694664853697397511356917245
y[1] (numeric) = 0.0079998694664853697397511356917109
absolute error = 1.36e-32
relative error = 1.7000277388244647114392126113525e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.9706
Order of pole = 878.3
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.2MB, time=5.14
x[1] = 0.161
y[1] (analytic) = 0.0081812268458441408972296708223045
y[1] (numeric) = 0.0081812268458441408972296708223047
absolute error = 2e-34
relative error = 2.4446211279619389807612160034464e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.945
Order of pole = 856
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 0.0083646507592305396958073829009708
y[1] (numeric) = 0.0083646507592305396958073829009638
absolute error = 7.0e-33
relative error = 8.3685502258123287388037643529643e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.9221
Order of pole = 836.1
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 0.00855014272341109016970861288005
y[1] (numeric) = 0.0085501427234110901697086128800484
absolute error = 1.6e-33
relative error = 1.8713137917792300805502481949653e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.9015
Order of pole = 818.3
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 0.0087377042733855731099578743213018
y[1] (numeric) = 0.0087377042733855731099578743213051
absolute error = 3.3e-33
relative error = 3.7767357383009238696735490013232e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.883
Order of pole = 802.4
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 0.0089273369624386817480916367645282
y[1] (numeric) = 0.0089273369624386817480916367645152
absolute error = 1.30e-32
relative error = 1.4562013346977762541547275005056e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.8661
Order of pole = 788
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 0.009119042362192350327158610235495
y[1] (numeric) = 0.0091190423621923503271586102354811
absolute error = 1.39e-32
relative error = 1.5242828630371926429496427552728e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.8508
Order of pole = 775
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 0.0093128220626587593708157067547958
y[1] (numeric) = 0.0093128220626587593708157067547922
absolute error = 3.6e-33
relative error = 3.8656381232008848685934417858559e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.8369
Order of pole = 763.2
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 0.009508677672294021516248237404049
y[1] (numeric) = 0.0095086776722940215162482374040435
absolute error = 5.5e-33
relative error = 5.7841901782260059801856565841863e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.8242
Order of pole = 752.4
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 0.0097066108180525518320562794532892
y[1] (numeric) = 0.0097066108180525518320562794532921
absolute error = 2.9e-33
relative error = 2.9876545525102553132685310387467e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.8125
Order of pole = 742.7
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0.0099066231454421265981624625566248
y[1] (numeric) = 0.0099066231454421265981624625566283
absolute error = 3.5e-33
relative error = 3.5329899488609214853269709422186e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.8017
Order of pole = 733.7
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 0.010108716318579634581217720318289
y[1] (numeric) = 0.01010871631857963458121772031827
absolute error = 1.9e-32
relative error = 1.8795660498532686709650185460675e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7918
Order of pole = 725.6
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 0.010312892020247524895918978588412
y[1] (numeric) = 0.010312892020247524895918978588395
absolute error = 1.7e-32
relative error = 1.6484221852244288765637427858969e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7827
Order of pole = 718.1
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.2MB, time=5.52
x[1] = 0.173
y[1] (analytic) = 0.010519151951950955600114552195948
y[1] (numeric) = 0.010519151951950955600114552195942
absolute error = 6e-33
relative error = 5.7038818598748333265672986528149e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7742
Order of pole = 711.3
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 0.010727497833975647229567549413979
y[1] (numeric) = 0.010727497833975647229567549413968
absolute error = 1.1e-32
relative error = 1.0254022112371159099738285425018e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7664
Order of pole = 705
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 0.010937931405446445536783296538085
y[1] (numeric) = 0.010937931405446445536783296538089
absolute error = 4e-33
relative error = 3.6569986149375883099477543693332e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7591
Order of pole = 699.2
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 0.011150454424386597757392260022101
y[1] (numeric) = 0.011150454424386597757392260022087
absolute error = 1.4e-32
relative error = 1.2555542103630596892334539034191e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7523
Order of pole = 693.9
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 0.011365068667777746787223837314312
y[1] (numeric) = 0.011365068667777746787223837314305
absolute error = 7e-33
relative error = 6.1592236744212610726521592806780e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.746
Order of pole = 689
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 0.011581775931620647713417498688272
y[1] (numeric) = 0.011581775931620647713417498688266
absolute error = 6e-33
relative error = 5.1805526504952983659334041743883e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7401
Order of pole = 684.4
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 0.011800578030996611203704993946334
y[1] (numeric) = 0.011800578030996611203704993946317
absolute error = 1.7e-32
relative error = 1.4406073969720849791319359919202e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7346
Order of pole = 680.2
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 0.012021476800129678319369709099029
y[1] (numeric) = 0.012021476800129678319369709099026
absolute error = 3e-33
relative error = 2.4955336601969221775659979164899e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7294
Order of pole = 676.4
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 0.012244474092449531379355906487628
y[1] (numeric) = 0.012244474092449531379355906487615
absolute error = 1.3e-32
relative error = 1.0617034183621131057620272222044e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7246
Order of pole = 672.8
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 0.012469571780655145565570765237903
y[1] (numeric) = 0.012469571780655145565570765237904
absolute error = 1e-33
relative error = 8.0195215809364422294740932301261e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.72
Order of pole = 669.5
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 0.012696771756779186022605237892875
y[1] (numeric) = 0.012696771756779186022605237892876
absolute error = 1e-33
relative error = 7.8760177717305984025501187858503e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7157
Order of pole = 666.4
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 0.01292607593225315526890525879884
y[1] (numeric) = 0.012926075932253155268905258798838
absolute error = 2e-33
relative error = 1.5472599808961344250495691345954e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7116
Order of pole = 663.5
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.2MB, time=5.89
x[1] = 0.185
y[1] (analytic) = 0.013157486237973295800862412523233
y[1] (numeric) = 0.013157486237973295800862412523221
absolute error = 1.2e-32
relative error = 9.1202831475265229806096895704860e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7078
Order of pole = 660.9
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 0.013391004624367252836372557700781
y[1] (numeric) = 0.013391004624367252836372557700773
absolute error = 8e-33
relative error = 5.9741596873490836089698938577103e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7042
Order of pole = 658.4
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 0.01362663306146150221014199621275
y[1] (numeric) = 0.013626633061461502210141996212734
absolute error = 1.6e-32
relative error = 1.1741711931211235100336967120078e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.7008
Order of pole = 656.2
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 0.013864373538949548499413606344621
y[1] (numeric) = 0.013864373538949548499413606344613
absolute error = 8e-33
relative error = 5.7701849834941261597437081120635e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6975
Order of pole = 654
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 0.014104228066260898525850084634002
y[1] (numeric) = 0.014104228066260898525850084633987
absolute error = 1.5e-32
relative error = 1.0635108798248875096733819600023e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6944
Order of pole = 652.1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0.014346198672630815447058366267283
y[1] (numeric) = 0.014346198672630815447058366267274
absolute error = 9e-33
relative error = 6.2734388428412681521910939190877e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6915
Order of pole = 650.2
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 0.014590287407170858719678860994922
y[1] (numeric) = 0.014590287407170858719678860994914
absolute error = 8e-33
relative error = 5.4830996653761232252127796921924e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6887
Order of pole = 648.5
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 0.014836496338940215285105937114354
y[1] (numeric) = 0.014836496338940215285105937114335
absolute error = 1.9e-32
relative error = 1.2806258004547984574113385082197e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.686
Order of pole = 646.9
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 0.015084827557017827398762842795779
y[1] (numeric) = 0.015084827557017827398762842795765
absolute error = 1.4e-32
relative error = 9.2808485526815722028736608107813e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6834
Order of pole = 645.5
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 0.015335283170575322594435853331062
y[1] (numeric) = 0.015335283170575322594435853331063
absolute error = 1e-33
relative error = 6.5209099100221162197478750040745e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.681
Order of pole = 644.1
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 0.015587865308950751346489907594755
y[1] (numeric) = 0.015587865308950751346489907594751
absolute error = 4e-33
relative error = 2.5660986419372952321735697471961e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6786
Order of pole = 642.8
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 0.015842576121723138064852534012638
y[1] (numeric) = 0.015842576121723138064852534012632
absolute error = 6e-33
relative error = 3.7872628503724698039147745820293e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6764
Order of pole = 641.6
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.2MB, time=6.27
x[1] = 0.197
y[1] (analytic) = 0.016099417778787851130475809324654
y[1] (numeric) = 0.016099417778787851130475809324643
absolute error = 1.1e-32
relative error = 6.8325452206683502790127639453279e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6742
Order of pole = 640.5
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 0.016358392470432797752578945659689
y[1] (numeric) = 0.016358392470432797752578945659691
absolute error = 2e-33
relative error = 1.2226140212829149342030211834973e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6721
Order of pole = 639.5
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 0.016619502407415449503348528554555
y[1] (numeric) = 0.016619502407415449503348528554551
absolute error = 4e-33
relative error = 2.4068109272725527031845994124384e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6701
Order of pole = 638.5
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 0.016882749821040704460941261449261
y[1] (numeric) = 0.016882749821040704460941261449254
absolute error = 7e-33
relative error = 4.1462439911749509880632305809006e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6682
Order of pole = 637.6
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 0.017148136963239591967607309961324
y[1] (numeric) = 0.017148136963239591967607309961326
absolute error = 2e-33
relative error = 1.1663074561903685502850781689591e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6663
Order of pole = 636.8
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 0.017415666106648826086543152118439
y[1] (numeric) = 0.017415666106648826086543152118431
absolute error = 8e-33
relative error = 4.5935653284865275990631568011306e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6645
Order of pole = 636
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 0.017685339544691213918703573130661
y[1] (numeric) = 0.017685339544691213918703573130651
absolute error = 1.0e-32
relative error = 5.6544009091427370895192580378004e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6627
Order of pole = 635.3
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 0.017957159591656925019265616886146
y[1] (numeric) = 0.017957159591656925019265616886138
absolute error = 8e-33
relative error = 4.4550475587001407407980567948818e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.661
Order of pole = 634.6
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 0.018231128582785628232755623227024
y[1] (numeric) = 0.018231128582785628232755623227022
absolute error = 2e-33
relative error = 1.0970247897261057424732484051523e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6593
Order of pole = 634
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 0.018507248874349502346036825859466
y[1] (numeric) = 0.018507248874349502346036825859464
absolute error = 2e-33
relative error = 1.0806576458654212193584511439881e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6577
Order of pole = 633.4
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 0.018785522843737127039422432956872
y[1] (numeric) = 0.018785522843737127039422432956852
absolute error = 2.0e-32
relative error = 1.0646496329309122955058896699335e-28 %
Correct digits = 29
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6562
Order of pole = 632.8
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 0.019065952889538260698140923748891
y[1] (numeric) = 0.019065952889538260698140923748888
absolute error = 3e-33
relative error = 1.5734854782139630098601334587904e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6546
Order of pole = 632.3
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.2MB, time=6.64
x[1] = 0.209
y[1] (analytic) = 0.019348541431629511729249925773724
y[1] (numeric) = 0.019348541431629511729249925773724
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6531
Order of pole = 631.8
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 0.019633290911260910112886142054485
y[1] (numeric) = 0.019633290911260910112886142054478
absolute error = 7e-33
relative error = 3.5653727292275111238347441447900e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6517
Order of pole = 631.4
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 0.019920203791143386001465228709186
y[1] (numeric) = 0.019920203791143386001465228709168
absolute error = 1.8e-32
relative error = 9.0360521351708673699334498442502e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6502
Order of pole = 630.9
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 0.020209282555537162266121338843665
y[1] (numeric) = 0.020209282555537162266121338843651
absolute error = 1.4e-32
relative error = 6.9275096538071439328135764702405e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6488
Order of pole = 630.6
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 0.020500529710341067976315513020563
y[1] (numeric) = 0.020500529710341067976315513020556
absolute error = 7e-33
relative error = 3.4145459160838145842410475849874e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6475
Order of pole = 630.2
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 0.020793947783182779886159686415463
y[1] (numeric) = 0.02079394778318277988615968641545
absolute error = 1.3e-32
relative error = 6.2518191040730715879314070535211e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6461
Order of pole = 629.8
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 0.021089539323509999089613489246603
y[1] (numeric) = 0.021089539323509999089613489246601
absolute error = 2e-33
relative error = 9.4833745266804322041913587174333e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6448
Order of pole = 629.5
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 0.021387306902682570096329150305926
y[1] (numeric) = 0.021387306902682570096329150305908
absolute error = 1.8e-32
relative error = 8.4162069034237749230762861638705e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6435
Order of pole = 629.2
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 0.021687253114065549670560806248783
y[1] (numeric) = 0.021687253114065549670560806248777
absolute error = 6e-33
relative error = 2.7666020996032098112671188110419e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6422
Order of pole = 629
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 0.021989380573123232867233731215133
y[1] (numeric) = 0.021989380573123232867233731215113
absolute error = 2.0e-32
relative error = 9.0952994030424051170572207328988e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6409
Order of pole = 628.7
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 0.022293691917514143792002022550515
y[1] (numeric) = 0.022293691917514143792002022550514
absolute error = 1e-33
relative error = 4.4855737833821510634678894924798e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6397
Order of pole = 628.5
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 0.022600189807186998705925933883572
y[1] (numeric) = 0.022600189807186998705925933883556
absolute error = 1.6e-32
relative error = 7.0795865594508865832062987160541e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6385
Order of pole = 628.2
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.2MB, time=7.02
x[1] = 0.221
y[1] (analytic) = 0.022908876924477649190288400589489
y[1] (numeric) = 0.022908876924477649190288400589477
absolute error = 1.2e-32
relative error = 5.2381441654951904127981386367360e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6372
Order of pole = 628
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 0.023219755974207013183060661979845
y[1] (numeric) = 0.023219755974207013183060661979843
absolute error = 2e-33
relative error = 8.6133549474923057163170993435796e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.636
Order of pole = 627.8
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 0.023532829683780001795635804237048
y[1] (numeric) = 0.023532829683780001795635804237041
absolute error = 7e-33
relative error = 2.9745679096231885004822635853211e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6349
Order of pole = 627.6
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 0.023848100803285449916693335003489
y[1] (numeric) = 0.023848100803285449916693335003489
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6337
Order of pole = 627.5
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 0.024165572105597058709454617988595
y[1] (numeric) = 0.024165572105597058709454617988576
absolute error = 1.9e-32
relative error = 7.8624250719060586723644685906819e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6325
Order of pole = 627.3
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 0.024485246386475358209155468415745
y[1] (numeric) = 0.024485246386475358209155468415738
absolute error = 7e-33
relative error = 2.8588644318753973155728997652592e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6314
Order of pole = 627.2
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 0.02480712646467069832931602780788
y[1] (numeric) = 0.024807126464670698329316027807866
absolute error = 1.4e-32
relative error = 5.6435395772010237547415758370900e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6302
Order of pole = 627
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 0.025131215182027276688347060236585
y[1] (numeric) = 0.025131215182027276688347060236579
absolute error = 6e-33
relative error = 2.3874691122341478246265631204013e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6291
Order of pole = 626.9
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 0.025457515403588211772214177849252
y[1] (numeric) = 0.025457515403588211772214177849244
absolute error = 8e-33
relative error = 3.1424904878472185324666654496206e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.628
Order of pole = 626.8
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 0.025786030017701670054305627661222
y[1] (numeric) = 0.025786030017701670054305627661214
absolute error = 8e-33
relative error = 3.1024550869242517631820334307011e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6269
Order of pole = 626.6
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 0.026116761936128055800333856032345
y[1] (numeric) = 0.026116761936128055800333856032347
absolute error = 2e-33
relative error = 7.6579171831916245593722521925485e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6258
Order of pole = 626.5
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 0.026449714094148272394065104187228
y[1] (numeric) = 0.026449714094148272394065104187226
absolute error = 2e-33
relative error = 7.5615184076506878389598322774306e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6247
Order of pole = 626.4
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.2MB, time=7.40
x[1] = 0.233
y[1] (analytic) = 0.026784889450673064128934065542825
y[1] (numeric) = 0.02678488945067306412893406554281
absolute error = 1.5e-32
relative error = 5.6001724508230413774400042802041e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6236
Order of pole = 626.3
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 0.027122290988353447521181742461312
y[1] (numeric) = 0.027122290988353447521181742461295
absolute error = 1.7e-32
relative error = 6.2679070906288671876341923309936e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6225
Order of pole = 626.3
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 0.027461921713692241312073971793542
y[1] (numeric) = 0.027461921713692241312073971793529
absolute error = 1.3e-32
relative error = 4.7338274923121382159330899632862e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6214
Order of pole = 626.2
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 0.027803784657156704440035852652525
y[1] (numeric) = 0.027803784657156704440035852652506
absolute error = 1.9e-32
relative error = 6.8336020560817402901227577125095e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6203
Order of pole = 626.1
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 0.028147882873292291378194031316572
y[1] (numeric) = 0.02814788287329229137819403131656
absolute error = 1.2e-32
relative error = 4.2631980721313947169906065889280e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6193
Order of pole = 626
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 0.02849421944083753434887532543866
y[1] (numeric) = 0.028494219440837534348875325438657
absolute error = 3e-33
relative error = 1.0528451239834420972164018169827e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6182
Order of pole = 626
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 0.028842797462840062044087680489228
y[1] (numeric) = 0.028842797462840062044087680489212
absolute error = 1.6e-32
relative error = 5.5473121220692193355437348892873e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6171
Order of pole = 625.9
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 0.029193620066773764599929458437842
y[1] (numeric) = 0.029193620066773764599929458437828
absolute error = 1.4e-32
relative error = 4.7955683358138473002488453927496e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6161
Order of pole = 625.8
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 0.029546690404657114693257416215385
y[1] (numeric) = 0.02954669040465711469325741621537
absolute error = 1.5e-32
relative error = 5.0767107227805512829796063096303e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.615
Order of pole = 625.8
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 0.02990201165317265475081464110223
y[1] (numeric) = 0.029902011653172654750814641102214
absolute error = 1.6e-32
relative error = 5.3508105693960468183516488333138e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.614
Order of pole = 625.7
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 0.030259587013787660384399727272048
y[1] (numeric) = 0.03025958701378766038439972727204
absolute error = 8e-33
relative error = 2.6437902131165345519735429413703e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.613
Order of pole = 625.7
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 0.030619419712875990290570517937702
y[1] (numeric) = 0.030619419712875990290570517937689
absolute error = 1.3e-32
relative error = 4.2456715776795983494372455115107e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6119
Order of pole = 625.6
TOP MAIN SOLVE Loop
x[1] = 0.245
memory used=80.1MB, alloc=4.2MB, time=7.78
y[1] (analytic) = 0.030981513001841132979843083363628
y[1] (numeric) = 0.030981513001841132979843083363614
absolute error = 1.4e-32
relative error = 4.5188238544605695781045620296132e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6109
Order of pole = 625.6
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 0.031345870157240460828392912405205
y[1] (numeric) = 0.031345870157240460828392912405205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6098
Order of pole = 625.6
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 0.031712494480910702074914600522555
y[1] (numeric) = 0.031712494480910702074914600522534
absolute error = 2.1e-32
relative error = 6.6219956341311859752484946456009e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6088
Order of pole = 625.5
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 0.032081389300094641516573044006772
y[1] (numeric) = 0.032081389300094641516573044006769
absolute error = 3e-33
relative error = 9.3512159711585491323683879352896e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6078
Order of pole = 625.5
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 0.032452557967569060790908116458868
y[1] (numeric) = 0.032452557967569060790908116458864
absolute error = 4e-33
relative error = 1.2325684785764300428876846730428e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6067
Order of pole = 625.5
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 0.03282600386177392926516122901142
y[1] (numeric) = 0.032826003861773929265161229011399
absolute error = 2.1e-32
relative error = 6.3973671874372198750549630297301e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6057
Order of pole = 625.4
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 0.03320173038694285669080168903584
y[1] (numeric) = 0.033201730386942856690801689035832
absolute error = 8e-33
relative error = 2.4095129701872814483520838203217e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6047
Order of pole = 625.4
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 0.033579740973234818919069418314475
y[1] (numeric) = 0.033579740973234818919069418314463
absolute error = 1.2e-32
relative error = 3.5735832535351479598561911605448e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6037
Order of pole = 625.4
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 0.03396003907686716811314484027271
y[1] (numeric) = 0.033960039076867168113144840272698
absolute error = 1.2e-32
relative error = 3.5335648386147282549205602118521e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6026
Order of pole = 625.4
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 0.034342628180249939034133498289188
y[1] (numeric) = 0.034342628180249939034133498289177
absolute error = 1.1e-32
relative error = 3.2030163627156458700590066677270e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6016
Order of pole = 625.3
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 0.034727511792121463121439564767668
y[1] (numeric) = 0.034727511792121463121439564767651
absolute error = 1.7e-32
relative error = 4.8952542588601882271438757138789e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.6006
Order of pole = 625.3
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 0.035114693447685302233326633154342
y[1] (numeric) = 0.035114693447685302233326633154328
absolute error = 1.4e-32
relative error = 3.9869349908628790697650873678282e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5996
Order of pole = 625.3
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 0.035504176708748514060554298456995
y[1] (numeric) = 0.035504176708748514060554298456992
absolute error = 3e-33
relative error = 8.4497100851257759911010608115637e-30 %
Correct digits = 31
h = 0.001
memory used=83.9MB, alloc=4.2MB, time=8.15
Real estimate of pole used for equation 1
Radius of convergence = 0.5986
Order of pole = 625.3
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 0.035895965163861261374963737022515
y[1] (numeric) = 0.035895965163861261374963737022503
absolute error = 1.2e-32
relative error = 3.3429941067808810515002066969746e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5976
Order of pole = 625.3
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 0.036290062428457777425793977861692
y[1] (numeric) = 0.036290062428457777425793977861678
absolute error = 1.4e-32
relative error = 3.8578054329886032831950039054412e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5965
Order of pole = 625.3
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 0.036686472144998699949372482536388
y[1] (numeric) = 0.036686472144998699949372482536377
absolute error = 1.1e-32
relative error = 2.9983804265844569679965099081760e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5955
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 0.037085197983114786412669176743925
y[1] (numeric) = 0.037085197983114786412669176743913
absolute error = 1.2e-32
relative error = 3.2357923518336627186125019869682e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5945
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 0.037486243639752023268062862953708
y[1] (numeric) = 0.037486243639752023268062862953686
absolute error = 2.2e-32
relative error = 5.8688195625635465964082723572360e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5935
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 0.037889612839318142155574158326718
y[1] (numeric) = 0.037889612839318142155574158326714
absolute error = 4e-33
relative error = 1.0556983036388248344446051824163e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5925
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 0.038295309333830556149801433625252
y[1] (numeric) = 0.038295309333830556149801433625236
absolute error = 1.6e-32
relative error = 4.1780573857032144408316560674057e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5915
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 0.03870333690306572931188789395837
y[1] (numeric) = 0.038703336903065729311887893958356
absolute error = 1.4e-32
relative error = 3.6172591616747770024800782936780e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5905
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 0.03911369935470999297208169711485
y[1] (numeric) = 0.039113699354709992972081697114827
absolute error = 2.3e-32
relative error = 5.8802926799176274489568199391009e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5895
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 0.039526400524511822335860155178882
y[1] (numeric) = 0.039526400524511822335860155178875
absolute error = 7e-33
relative error = 1.7709682407481131786925914180701e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5885
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 0.03994144427643558717620747488404
y[1] (numeric) = 0.039941444276435587176207474884033
absolute error = 7e-33
relative error = 1.7525655686241215508529692445431e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5875
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 0.04035883450281679054649759655193
y[1] (numeric) = 0.040358834502816790546497596551911
absolute error = 1.9e-32
relative error = 4.7077672668356963000917774909310e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5865
Order of pole = 625.1
memory used=87.7MB, alloc=4.2MB, time=8.54
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 0.040778575124518809622574506106868
y[1] (numeric) = 0.040778575124518809622574506106851
absolute error = 1.7e-32
relative error = 4.1688558141352177346985266945616e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5855
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 0.041200670091091152959077526950632
y[1] (numeric) = 0.041200670091091152959077526950613
absolute error = 1.9e-32
relative error = 4.6115754811736380127333024817060e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5844
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 0.04162512338092924862386475879911
y[1] (numeric) = 0.041625123380929248623864758799102
absolute error = 8e-33
relative error = 1.9219162251577225713580295548878e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5834
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 0.042051939001435777855580843710575
y[1] (numeric) = 0.04205193900143577785558084371057
absolute error = 5e-33
relative error = 1.1890058148874621876729091118575e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5824
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 0.042481120989183569073033056331042
y[1] (numeric) = 0.042481120989183569073033056331028
absolute error = 1.4e-32
relative error = 3.2955815840087277962277575522836e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5814
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 0.042912673410080067251120424686405
y[1] (numeric) = 0.042912673410080067251120424686389
absolute error = 1.6e-32
relative error = 3.7285022648441298561561152771564e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5804
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 0.043346600359533393866642928630538
y[1] (numeric) = 0.043346600359533393866642928630521
absolute error = 1.7e-32
relative error = 3.9218761930567689734722109617203e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5794
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 0.043782905962620012808441196812698
y[1] (numeric) = 0.04378290596262001280844119681269
absolute error = 8e-33
relative error = 1.8271971273058166859720199394713e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5784
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 0.044221594374254017840021606443668
y[1] (numeric) = 0.04422159437425401784002160644365
absolute error = 1.8e-32
relative error = 4.0704095487067443146014098288774e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5774
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 0.044662669779358057399148048010905
y[1] (numeric) = 0.044662669779358057399148048010893
absolute error = 1.2e-32
relative error = 2.6868075865778388371595580427303e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5764
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 0.045106136393035912717871315509322
y[1] (numeric) = 0.045106136393035912717871315509311
absolute error = 1.1e-32
relative error = 2.4386925770255788957505449588624e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5754
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 0.045551998460746745448162302559205
y[1] (numeric) = 0.045551998460746745448162302559202
absolute error = 3e-33
relative error = 6.5858800960953936600589281152775e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5744
Order of pole = 625.1
memory used=91.5MB, alloc=4.2MB, time=8.93
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 0.046000260258481031182758835323258
y[1] (numeric) = 0.046000260258481031182758835323236
absolute error = 2.2e-32
relative error = 4.7825816367949521764771367824758e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5734
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 0.04645092609293819546807170627899
y[1] (numeric) = 0.046450926092938195468071706278979
absolute error = 1.1e-32
relative error = 2.3680905689568801236855501059001e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5724
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 0.046904000301705969116067697374382
y[1] (numeric) = 0.046904000301705969116067697374374
absolute error = 8e-33
relative error = 1.7056114507378228790653886580822e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5714
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 0.047359487253441479835001277081785
y[1] (numeric) = 0.047359487253441479835001277081773
absolute error = 1.2e-32
relative error = 2.5338112162791614639678178991876e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5704
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 0.047817391348054097414748189962942
y[1] (numeric) = 0.047817391348054097414748189962923
absolute error = 1.9e-32
relative error = 3.9734497144987384610183500039550e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5694
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 0.048277717016890049921350097795898
y[1] (numeric) = 0.048277717016890049921350097795897
absolute error = 1e-33
relative error = 2.0713489820783118698044400789382e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5684
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 0.048740468722918828577257363533795
y[1] (numeric) = 0.048740468722918828577257363533786
absolute error = 9e-33
relative error = 1.8465148645088848387492683568826e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5674
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 0.0492056509609213992287054118993
y[1] (numeric) = 0.049205650960921399228705411899289
absolute error = 1.1e-32
relative error = 2.2355155932671396093771896370333e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5664
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 0.04967326825768023852972812112859
y[1] (numeric) = 0.049673268257680238529728121128584
absolute error = 6e-33
relative error = 1.2078931406073344602549529827163e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5654
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 0.050143325172171213203549533016678
y[1] (numeric) = 0.050143325172171213203549533016674
absolute error = 4e-33
relative error = 7.9771335192982763726919793499838e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5644
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 0.050615826295757320976553829556972
y[1] (numeric) = 0.050615826295757320976553829556955
absolute error = 1.7e-32
relative error = 3.3586333058490364519481009256878e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5634
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 0.051090776252384312017764930781845
y[1] (numeric) = 0.051090776252384312017764930781836
absolute error = 9e-33
relative error = 1.7615704164565294990189843263820e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5624
Order of pole = 625.1
memory used=95.3MB, alloc=4.2MB, time=9.30
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 0.05156817969877820995782405432026
y[1] (numeric) = 0.051568179698778209957824054320236
absolute error = 2.4e-32
relative error = 4.6540328047624735324295144220997e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5614
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 0.05204804132464475180588991288878
y[1] (numeric) = 0.052048041324644751805889912888762
absolute error = 1.8e-32
relative error = 3.4583433961955833550497402217422e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5604
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 0.052530365852870766330756635811088
y[1] (numeric) = 0.052530365852870766330756635811066
absolute error = 2.2e-32
relative error = 4.1880538318766930131336992673579e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5594
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 0.053015158039727510723844682091812
y[1] (numeric) = 0.053015158039727510723844682091791
absolute error = 2.1e-32
relative error = 3.9611312644326008650902710500073e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5584
Order of pole = 625.1
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 0.0535024226750759856166266551373
y[1] (numeric) = 0.053502422675075985616626655137299
absolute error = 1e-33
relative error = 1.8690742400079171226305968694728e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5574
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 0.053992164582574248783560734318215
y[1] (numeric) = 0.053992164582574248783560734318205
absolute error = 1.0e-32
relative error = 1.8521205951478854528808886029797e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5564
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 0.054484388619886748123778139479442
y[1] (numeric) = 0.054484388619886748123778139479439
absolute error = 3e-33
relative error = 5.5061643821125726242399052580022e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5554
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 0.054979099678895694780667426836772
y[1] (numeric) = 0.054979099678895694780667426836753
absolute error = 1.9e-32
relative error = 3.4558587010280471511864735394718e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5544
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 0.0554763026859144975281783373315
y[1] (numeric) = 0.055476302685914497528178337331486
absolute error = 1.4e-32
relative error = 2.5236000458182332090285819467652e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5534
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 0.05597600260190327982619333495889
y[1] (numeric) = 0.055976002601903279826193334958877
absolute error = 1.3e-32
relative error = 2.3224237880033930407245914251558e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5524
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 0.056478204422686501224748952819068
y[1] (numeric) = 0.056478204422686501224748952819053
absolute error = 1.5e-32
relative error = 2.6558917999125890664555608180802e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5514
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 0.056982913179172705078295817421518
y[1] (numeric) = 0.056982913179172705078295817421512
absolute error = 6e-33
relative error = 1.0529472196575945204710445868083e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5504
Order of pole = 625
memory used=99.1MB, alloc=4.2MB, time=9.69
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 0.057490133937576414816631117433638
y[1] (numeric) = 0.057490133937576414816631117433626
absolute error = 1.2e-32
relative error = 2.0873146709015787850402347068760e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5494
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 0.057999871799642201308686876796008
y[1] (numeric) = 0.057999871799642201308686876795999
absolute error = 9e-33
relative error = 1.5517275677936102971357093487615e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5484
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 0.058512131902870944149079447792088
y[1] (numeric) = 0.058512131902870944149079447792072
absolute error = 1.6e-32
relative error = 2.7344756514016108363299668742243e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5474
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 0.05902691942074830999528915410243
y[1] (numeric) = 0.059026919420748309995289154102411
absolute error = 1.9e-32
relative error = 3.2188703368655535903856210376159e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5464
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 0.059544239562975471385614241783412
y[1] (numeric) = 0.05954423956297547138561424178339
absolute error = 2.2e-32
relative error = 3.6947318769151887212836219348074e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5454
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 0.06006409757570208977470177541572
y[1] (numeric) = 0.060064097575702089774701775415708
absolute error = 1.2e-32
relative error = 1.9978656942070492586580706094738e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5444
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 0.060586498741761586834572694502885
y[1] (numeric) = 0.060586498741761586834572694502874
absolute error = 1.1e-32
relative error = 1.8155860180805966734349527922092e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5434
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 0.061111448380908728384703104430852
y[1] (numeric) = 0.061111448380908728384703104430839
absolute error = 1.3e-32
relative error = 2.1272609870037398311690638394214e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5424
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 0.06163895185005954563497456264817
y[1] (numeric) = 0.061638951850059545634974562648161
absolute error = 9e-33
relative error = 1.4601156784581673006626554777046e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5414
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 0.06216901454353361875023957048444
y[1] (numeric) = 0.06216901454353361875023957048442
absolute error = 2.0e-32
relative error = 3.2170366776515453975803375534945e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5404
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 0.062701641893298748074943049391798
y[1] (numeric) = 0.062701641893298748074943049391787
absolute error = 1.1e-32
relative error = 1.7543400248942488134274366348582e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5394
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 0.063236839369218038690776070438108
y[1] (numeric) = 0.063236839369218038690776070438087
absolute error = 2.1e-32
relative error = 3.3208490825084191031145358251251e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5384
Order of pole = 625
memory used=103.0MB, alloc=4.2MB, time=10.10
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 0.0637746124792994243197957981432
y[1] (numeric) = 0.063774612479299424319795798143184
absolute error = 1.6e-32
relative error = 2.5088353151802268545505822974927e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5374
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 0.064314966769947656929908292522105
y[1] (numeric) = 0.064314966769947656929908292522098
absolute error = 7e-33
relative error = 1.0883936277287914062299930797919e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5364
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 0.064857907826218788749162813454618
y[1] (numeric) = 0.064857907826218788749162813454595
absolute error = 2.3e-32
relative error = 3.5462136801616436455640747909580e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5354
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 0.065403441272077173750033486544065
y[1] (numeric) = 0.06540344127207717375003348654406
absolute error = 5e-33
relative error = 7.6448576753019574303833990116064e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5344
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 0.06595157277065501602485411943231
y[1] (numeric) = 0.065951572770655016024854119432299
absolute error = 1.1e-32
relative error = 1.6678904744625623127732649101437e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5334
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 0.066502308024514492838913737820598
y[1] (numeric) = 0.066502308024514492838913737820589
absolute error = 9e-33
relative error = 1.3533364882136668452325804688696e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5324
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 0.06705565277591248051850484649307
y[1] (numeric) = 0.067055652775912480518504846493064
absolute error = 6e-33
relative error = 8.9477915009654503295785086363762e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5314
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 0.06761161280706791170753602187231
y[1] (numeric) = 0.067611612807067911707536021872288
absolute error = 2.2e-32
relative error = 3.2538788954462253451816970210778e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5304
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 0.068170193940431792908269457990355
y[1] (numeric) = 0.06817019394043179290826945799035
absolute error = 5e-33
relative error = 7.3345837982639158490092682903950e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5294
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 0.068731402038959911609418541832495
y[1] (numeric) = 0.068731402038959911609418541832475
absolute error = 2.0e-32
relative error = 2.9098780770779476799099538764663e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5284
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 0.06929524300638826269833826405612
y[1] (numeric) = 0.069295243006388262698338264056107
absolute error = 1.3e-32
relative error = 1.8760306531866180678132373275098e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5274
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 0.069861722787511224253461964834408
y[1] (numeric) = 0.069861722787511224253461964834391
absolute error = 1.7e-32
relative error = 2.4333782966827997527390519047175e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5264
Order of pole = 625
memory used=106.8MB, alloc=4.2MB, time=10.51
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 0.070430847368462513218583148907245
y[1] (numeric) = 0.070430847368462513218583148907233
absolute error = 1.2e-32
relative error = 1.7037988961316051858967569516737e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5254
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 0.071002622776998951872154384462105
y[1] (numeric) = 0.071002622776998951872154384462088
absolute error = 1.7e-32
relative error = 2.3942777513152781419425634029080e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5244
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 0.07157705508278707642258210202729
y[1] (numeric) = 0.071577055082787076422582102027271
absolute error = 1.9e-32
relative error = 2.6544819395020261843978045524509e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5234
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 0.072154150397692619484643917559318
y[1] (numeric) = 0.072154150397692619484643917559301
absolute error = 1.7e-32
relative error = 2.3560668244724608757040348354510e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5225
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 0.072733914876072898622753456707838
y[1] (numeric) = 0.072733914876072898622753456707817
absolute error = 2.1e-32
relative error = 2.8872363100186044830907675913936e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5215
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 0.073316354715072143583958189483712
y[1] (numeric) = 0.0733163547150721435839581894837
absolute error = 1.2e-32
relative error = 1.6367425858303178940835480175960e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5205
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 0.073901476154919795287392271467472
y[1] (numeric) = 0.073901476154919795287392271467457
absolute error = 1.5e-32
relative error = 2.0297294154930645020272135869285e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5195
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 0.074489285479231810087534790441305
y[1] (numeric) = 0.074489285479231810087534790441302
absolute error = 3e-33
relative error = 4.0274248580843526054613462491421e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5185
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 0.075079789015315003286162329404145
y[1] (numeric) = 0.075079789015315003286162329404141
absolute error = 4e-33
relative error = 5.3276654775682279248742826552016e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5175
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 0.075672993134474466332453851624682
y[1] (numeric) = 0.075672993134474466332453851624673
absolute error = 9e-33
relative error = 1.1893278734206504680929668338513e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5165
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 0.076268904252324092622428392360612
y[1] (numeric) = 0.076268904252324092622428392360603
absolute error = 9e-33
relative error = 1.1800353090461174239833255572900e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5155
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 0.076867528829100247287897084843305
y[1] (numeric) = 0.076867528829100247287897084843286
absolute error = 1.9e-32
relative error = 2.4717849382465180414974768906803e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5145
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.2MB, time=10.91
x[1] = 0.342
y[1] (analytic) = 0.077468873369978616851518263741472
y[1] (numeric) = 0.07746887336997861685151826374147
absolute error = 2e-33
relative error = 2.5816820524139139741649685531293e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5135
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 0.078072944425394275118487867187678
y[1] (numeric) = 0.078072944425394275118487867187668
absolute error = 1.0e-32
relative error = 1.2808534471958976761153611929440e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5125
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 0.078679748591365002177009722419838
y[1] (numeric) = 0.078679748591365002177009722419828
absolute error = 1.0e-32
relative error = 1.2709750830466541052875548391525e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5115
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 0.07928929250981789388910676274604
y[1] (numeric) = 0.079289292509817893889106762746023
absolute error = 1.7e-32
relative error = 2.1440473816682116354306517487571e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5105
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 0.079901582868919299770692642002915
y[1] (numeric) = 0.079901582868919299770692642002908
absolute error = 7e-33
relative error = 8.7607776325078423868320795154453e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5095
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 0.080516626403408127685264145712492
y[1] (numeric) = 0.080516626403408127685264145712483
absolute error = 9e-33
relative error = 1.1177815566821917631982873080195e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5085
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 0.081134429894932554309241564602398
y[1] (numeric) = 0.081134429894932554309241564602388
absolute error = 1.0e-32
relative error = 1.2325223721852483267857842076308e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5075
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 0.081755000172390180869022934825045
y[1] (numeric) = 0.081755000172390180869022934825034
absolute error = 1.1e-32
relative error = 1.3454834538322043182385007397014e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5065
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 0.082378344112271674200377780050052
y[1] (numeric) = 0.082378344112271674200377780050035
absolute error = 1.7e-32
relative error = 2.0636491523586666746117402904036e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5055
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 0.083004468639007933740038677452185
y[1] (numeric) = 0.083004468639007933740038677452176
absolute error = 9e-33
relative error = 1.0842789728757388571528784446493e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5045
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 0.083633380725320825627409584387308
y[1] (numeric) = 0.083633380725320825627409584387305
absolute error = 3e-33
relative error = 3.5870844559697687789344394130892e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5035
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 0.084265087392577525671356450951565
y[1] (numeric) = 0.084265087392577525671356450951554
absolute error = 1.1e-32
relative error = 1.3054042119190791849991308322367e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5025
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.2MB, time=11.29
x[1] = 0.354
y[1] (analytic) = 0.08489959571114851352323939245404
y[1] (numeric) = 0.084899595711148513523239392454024
absolute error = 1.6e-32
relative error = 1.8845790567055638511209575002867e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5015
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 0.08553691280076926099285100188719
y[1] (numeric) = 0.085536912800769260992851001887172
absolute error = 1.8e-32
relative error = 2.1043546476741816902985016162945e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.5005
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 0.086177045830905658048909923080858
y[1] (numeric) = 0.086177045830905658048909923080854
absolute error = 4e-33
relative error = 4.6416072417342957211189975185649e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4995
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 0.086820002021123220660393610489625
y[1] (numeric) = 0.086820002021123220660393610489611
absolute error = 1.4e-32
relative error = 1.6125316371904499426959279965059e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4985
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 0.087465788641460125259453728372322
y[1] (numeric) = 0.087465788641460125259453728372302
absolute error = 2.0e-32
relative error = 2.2866083197379064463652177899900e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4975
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 0.088114413012804115241119849899682
y[1] (numeric) = 0.088114413012804115241119849899668
absolute error = 1.4e-32
relative error = 1.5888433595949423906808337000634e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4965
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 0.0887658825072733255596435450241
y[1] (numeric) = 0.088765882507273325559643545024088
absolute error = 1.2e-32
relative error = 1.3518707482029191106589997054420e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4955
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 0.089420204548601072136350793931962
y[1] (numeric) = 0.089420204548601072136350793931949
absolute error = 1.3e-32
relative error = 1.4538101389529171627447027555259e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4945
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 0.090077386612524653459444870751055
y[1] (numeric) = 0.090077386612524653459444870751049
absolute error = 6e-33
relative error = 6.6609392497247921287137149294282e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4935
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 0.090737436227178212432527174476172
y[1] (numeric) = 0.090737436227178212432527174476166
absolute error = 6e-33
relative error = 6.6124857054346049375224577530664e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4925
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 0.091400360973489707215876615184925
y[1] (numeric) = 0.091400360973489707215876615184919
absolute error = 6e-33
relative error = 6.5645254965024426205616702608723e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4915
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 0.092066168485582040502949765225625
y[1] (numeric) = 0.092066168485582040502949765225613
absolute error = 1.2e-32
relative error = 1.3034103837914414579068716730826e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4905
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.3MB, time=11.66
x[1] = 0.366
y[1] (analytic) = 0.092734866451178397384338815789732
y[1] (numeric) = 0.092734866451178397384338815789723
absolute error = 9e-33
relative error = 9.7050875732248768466192432821440e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4895
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 0.093406462612011842672761376525328
y[1] (numeric) = 0.093406462612011842672761376525313
absolute error = 1.5e-32
relative error = 1.6058846016154600293661588062997e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4885
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 0.09408096476423922929576852985211
y[1] (numeric) = 0.094080964764239229295768529852104
absolute error = 6e-33
relative error = 6.3774856210665029336996386849027e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4875
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 0.09475838075885947010796288191076
y[1] (numeric) = 0.094758380758859470107962881910748
absolute error = 1.2e-32
relative error = 1.2663787523488317448713495025308e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4865
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 0.095438718502136226231838686160785
y[1] (numeric) = 0.095438718502136226231838686160772
absolute error = 1.3e-32
relative error = 1.3621306115619121693926660514634e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4855
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 0.09612198595602506580611807033101
y[1] (numeric) = 0.096121985956025065806118070331003
absolute error = 7e-33
relative error = 7.2824129988350805860008243120856e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4845
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 0.096808191138605147802892262498435
y[1] (numeric) = 0.096808191138605147802892262498417
absolute error = 1.8e-32
relative error = 1.8593467957921552583540599712914e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4835
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 0.097497342124515486370220556577055
y[1] (numeric) = 0.097497342124515486370220556577031
absolute error = 2.4e-32
relative error = 2.4616055655495919648142891613241e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4825
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 0.098189447045395851965333538702505
y[1] (numeric) = 0.098189447045395851965333538702483
absolute error = 2.2e-32
relative error = 2.2405666456018187803603364893190e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4815
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 0.098884514090332366365476771032512
y[1] (numeric) = 0.098884514090332366365476771032497
absolute error = 1.5e-32
relative error = 1.5169210404671952255842315825898e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4805
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 0.09958255150630784947896776978744
y[1] (numeric) = 0.099582551506307849478967769787423
absolute error = 1.7e-32
relative error = 1.7071263733308912434870942147033e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4795
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 0.10028356759865697672847902297692
y[1] (numeric) = 0.10028356759865697672847902297691
absolute error = 1e-32
relative error = 9.9717234233437089708675404619669e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4785
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.3MB, time=12.04
x[1] = 0.378
y[1] (analytic) = 0.10098757073152630664216462509892
y[1] (numeric) = 0.10098757073152630664216462509891
absolute error = 1e-32
relative error = 9.9022086852498169119153636356980e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4775
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 0.10169456932833923916628499117124
y[1] (numeric) = 0.10169456932833923916628499117122
absolute error = 2e-32
relative error = 1.9666733565119290336366857993117e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4765
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 0.1024045718722659661057257822598
y[1] (numeric) = 0.10240457187226596610572578225979
absolute error = 1e-32
relative error = 9.7651890117498560924687060889083e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4755
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 0.10311758690669847600653209173264
y[1] (numeric) = 0.10311758690669847600653209173264
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4745
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 0.10383362303573067671757143218573
y[1] (numeric) = 0.10383362303573067671757143218573
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4735
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 0.1045526889246436998069894538043
y[1] (numeric) = 0.1045526889246436998069894538043
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4725
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 0.1052747933003964519635270819921
y[1] (numeric) = 0.1052747933003964519635270819921
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4715
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 0.10599994495212147948332963447959
y[1] (numeric) = 0.10599994495212147948332963447959
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4705
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 0.10672815273162621292990664462923
y[1] (numeric) = 0.10672815273162621292990664462922
absolute error = 1e-32
relative error = 9.3695990645931517646826361763215e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4695
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 0.1074594255538996600587113374739
y[1] (numeric) = 0.10745942555389966005871133747389
absolute error = 1e-32
relative error = 9.3058379462341206927122872262617e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4685
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 0.10819377239762461611872347216127
y[1] (numeric) = 0.10819377239762461611872347216127
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4675
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 0.10893120230569546168176796618731
y[1] (numeric) = 0.10893120230569546168176796618732
absolute error = 1e-32
relative error = 9.1801061480408819209302955860268e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4665
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=12.42
x[1] = 0.39
y[1] (analytic) = 0.10967172438574161920642079608678
y[1] (numeric) = 0.10967172438574161920642079608678
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4655
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 0.1104153478106567406175867915348
y[1] (numeric) = 0.11041534781065674061758679153481
absolute error = 1e-32
relative error = 9.0567119501794927996299669921090e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4645
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 0.11116208181913369927553216394524
y[1] (numeric) = 0.11116208181913369927553216394525
absolute error = 1e-32
relative error = 8.9958732657332769222450819340583e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4635
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 0.11191193571620546081967656429846
y[1] (numeric) = 0.11191193571620546081967656429846
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4625
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 0.11266491887379190850316152455607
y[1] (numeric) = 0.11266491887379190850316152455607
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4615
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 0.11342104073125269978448861250933
y[1] (numeric) = 0.11342104073125269978448861250933
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4605
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 0.1141803107959462321127439540274
y[1] (numeric) = 0.1141803107959462321127439540274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4595
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 0.11494273864379479703348669945494
y[1] (numeric) = 0.11494273864379479703348669945494
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4585
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 0.11570833391985600295367679913655
y[1] (numeric) = 0.11570833391985600295367679913656
absolute error = 1e-32
relative error = 8.6424198337575067810564679990456e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4575
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 0.11647710633890054813646009495594
y[1] (numeric) = 0.11647710633890054813646009495594
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4565
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 0.11724906568599642675063315015026
y[1] (numeric) = 0.11724906568599642675063315015026
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4555
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 0.11802422181709965207560249543746
y[1] (numeric) = 0.11802422181709965207560249543747
absolute error = 1e-32
relative error = 8.4728370550045637688428247391135e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4545
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.3MB, time=12.80
x[1] = 0.402
y[1] (analytic) = 0.11880258465965158226106850108913
y[1] (numeric) = 0.11880258465965158226106850108913
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4535
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 0.11958416421318293536194792304177
y[1] (numeric) = 0.11958416421318293536194792304177
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4525
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 0.12036897054992458171365617633114
y[1] (numeric) = 0.12036897054992458171365617633115
absolute error = 1e-32
relative error = 8.3077889212754969366459269878651e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4516
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 0.12115701381542520308126548911967
y[1] (numeric) = 0.12115701381542520308126548911967
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4506
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 0.12194830422917590940871352737941
y[1] (numeric) = 0.12194830422917590940871352737941
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4496
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 0.12274285208524190541164466216444
y[1] (numeric) = 0.12274285208524190541164466216445
absolute error = 1e-32
relative error = 8.1471139297425196297621918222587e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4486
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 0.12354066775290130070011941194528
y[1] (numeric) = 0.1235406677529013007001194119453
absolute error = 2e-32
relative error = 1.6189001050247527417291970671118e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4476
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 0.1243417616772911585858344565938
y[1] (numeric) = 0.12434176167729115858583445659382
absolute error = 2e-32
relative error = 1.6084700530387168493358306772725e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4466
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 0.12514614438006088022317507667169
y[1] (numeric) = 0.1251461443800608802231750766717
absolute error = 1e-32
relative error = 7.9906576822939395376439986816777e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4456
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 0.12595382646003302225490465603081
y[1] (numeric) = 0.12595382646003302225490465603082
absolute error = 1e-32
relative error = 7.9394173889374811339509982512829e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4446
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 0.12676481859387164768212466475606
y[1] (numeric) = 0.12676481859387164768212466475607
absolute error = 1e-32
relative error = 7.8886240763992563126142363139922e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4436
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 0.12757913153675831125486820944673
y[1] (numeric) = 0.12757913153675831125486820944674
absolute error = 1e-32
relative error = 7.8382725133371701880120901257222e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4426
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.3MB, time=13.18
x[1] = 0.414
y[1] (analytic) = 0.1283967761230757822848882277957
y[1] (numeric) = 0.12839677612307578228488822779572
absolute error = 2e-32
relative error = 1.5576715088881075993739432448983e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4416
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 0.12921776326709960941644798835709
y[1] (numeric) = 0.12921776326709960941644798835711
absolute error = 2e-32
relative error = 1.5477748178212151118522265581085e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4406
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 0.13004210396369763355481017381379
y[1] (numeric) = 0.1300421039636976335548101738138
absolute error = 1e-32
relative error = 7.6898171401406928921873571108074e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4396
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 0.13086980928903755684625841142759
y[1] (numeric) = 0.1308698092890375568462584114276
absolute error = 1e-32
relative error = 7.6411817624904724354840850589738e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4386
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 0.13170089040130267732849243546835
y[1] (numeric) = 0.13170089040130267732849243546835
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4376
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 0.13253535854141590062675007207776
y[1] (numeric) = 0.13253535854141590062675007207777
absolute error = 1e-32
relative error = 7.5451563341680669694706524592929e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4366
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 0.13337322503377214185967541426472
y[1] (numeric) = 0.13337322503377214185967541426473
absolute error = 1e-32
relative error = 7.4977567629993553426532577072440e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4356
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 0.13421450128697923274043729588975
y[1] (numeric) = 0.13421450128697923274043729588976
absolute error = 1e-32
relative error = 7.4507597197845759772475464582049e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4346
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 0.13505919879460745071358515341637
y[1] (numeric) = 0.13505919879460745071358515341638
absolute error = 1e-32
relative error = 7.4041606119754895290005921451064e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4336
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 0.13590732913594778885730592785968
y[1] (numeric) = 0.13590732913594778885730592785969
absolute error = 1e-32
relative error = 7.3579549120540975328452856361057e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4326
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 0.13675890397677908720482722024606
y[1] (numeric) = 0.13675890397677908720482722024608
absolute error = 2e-32
relative error = 1.4624276312857764968293260645246e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4316
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 0.13761393507014414809842636349008
y[1] (numeric) = 0.13761393507014414809842636349008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4306
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.3MB, time=13.55
x[1] = 0.426
y[1] (analytic) = 0.13847243425713496018559720222546
y[1] (numeric) = 0.13847243425713496018559720222547
absolute error = 1e-32
relative error = 7.2216539368626993475874664819127e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4296
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 0.13933441346768715770015830159899
y[1] (numeric) = 0.139334413467687157700158301599
absolute error = 1e-32
relative error = 7.1769778557391965025349367795964e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4286
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 0.14019988472138384374223793435189
y[1] (numeric) = 0.14019988472138384374223793435189
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4276
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 0.14106886012826890838094065409517
y[1] (numeric) = 0.14106886012826890838094065409518
absolute error = 1e-32
relative error = 7.0887366573369593201747718171566e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4266
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 0.14194135188966997455290438642898
y[1] (numeric) = 0.14194135188966997455290438642898
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4256
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 0.14281737229903110691973178016084
y[1] (numeric) = 0.14281737229903110691973178016084
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4246
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 0.14369693374275542107828076381651
y[1] (numeric) = 0.14369693374275542107828076381651
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4236
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 0.14458004870105773279090274820292
y[1] (numeric) = 0.14458004870105773279090274820292
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4226
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 0.14546672974882738921881932465521
y[1] (numeric) = 0.14546672974882738921881932465521
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4216
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 0.1463569895565014265018475123511
y[1] (numeric) = 0.1463569895565014265018475123511
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4206
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 0.14725084089094820043255930510674
y[1] (numeric) = 0.14725084089094820043255930510675
absolute error = 1e-32
relative error = 6.7911326954022981881299048196365e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4196
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 0.14814829661636163942365554543482
y[1] (numeric) = 0.14814829661636163942365554543484
absolute error = 2e-32
relative error = 1.3499986470847603988851825569014e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4186
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.3MB, time=13.94
x[1] = 0.438
y[1] (analytic) = 0.14904936969516627146483207527168
y[1] (numeric) = 0.14904936969516627146483207527168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4176
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 0.1499540731889331793107263245765
y[1] (numeric) = 0.14995407318893317931072632457651
absolute error = 1e-32
relative error = 6.6687084834305214525854157999886e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4166
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 0.15086242025930704073568785140684
y[1] (numeric) = 0.15086242025930704073568785140685
absolute error = 1e-32
relative error = 6.6285559934751726837017829962608e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4156
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 0.15177442416894441333517453555042
y[1] (numeric) = 0.15177442416894441333517453555044
absolute error = 2e-32
relative error = 1.3177450752662670710173480705123e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4146
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 0.15269009828246342604862035190147
y[1] (numeric) = 0.15269009828246342604862035190148
absolute error = 1e-32
relative error = 6.5492131529713656670062581636658e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4136
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 0.15360945606740504232576029130666
y[1] (numeric) = 0.15360945606740504232576029130668
absolute error = 2e-32
relative error = 1.3020031781913114819294733451544e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4126
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 0.15453251109520606265876931750295
y[1] (numeric) = 0.15453251109520606265876931750297
absolute error = 2e-32
relative error = 1.2942260407376790406966052468016e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4116
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 0.15545927704218403705733910930397
y[1] (numeric) = 0.15545927704218403705733910930398
absolute error = 1e-32
relative error = 6.4325527496737872802179079619935e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4106
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 0.15638976769053426095417093520655
y[1] (numeric) = 0.15638976769053426095417093520656
absolute error = 1e-32
relative error = 6.3942802318039800250957202306119e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4096
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 0.15732399692933903099552663934506
y[1] (numeric) = 0.15732399692933903099552663934507
absolute error = 1e-32
relative error = 6.3563093966468636139425493883022e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4086
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 0.15826197875558934019670356110532
y[1] (numeric) = 0.15826197875558934019670356110533
absolute error = 1e-32
relative error = 6.3186370337523850025719967092139e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4076
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 0.15920372727521919502686513148508
y[1] (numeric) = 0.1592037272752191950268651314851
absolute error = 2e-32
relative error = 1.2562519949941582535113286684683e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4066
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.3MB, time=14.32
x[1] = 0.45
y[1] (analytic) = 0.16014925670415274013288027113584
y[1] (numeric) = 0.16014925670415274013288027113585
absolute error = 1e-32
relative error = 6.2441750937834328611736485664157e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4056
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 0.16109858136936437961904731414012
y[1] (numeric) = 0.16109858136936437961904731414013
absolute error = 1e-32
relative error = 6.2073793046458627346901808507670e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4046
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 0.16205171570995208707018100661759
y[1] (numeric) = 0.16205171570995208707018100661761
absolute error = 2e-32
relative error = 1.2341739124685947016071400547575e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4036
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 0.1630086742782240998409373474028
y[1] (numeric) = 0.16300867427822409984093734740281
absolute error = 1e-32
relative error = 6.1346428613559209251258413843637e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4026
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 0.16396947174079919653588890812468
y[1] (numeric) = 0.16396947174079919653588890812468
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4016
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 0.16493412287972076007422710347312
y[1] (numeric) = 0.16493412287972076007422710347313
absolute error = 1e-32
relative error = 6.0630267560173479072210613368159e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.4006
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 0.16590264259358483227157903303995
y[1] (numeric) = 0.16590264259358483227157903303996
absolute error = 1e-32
relative error = 6.0276315335718966256718505912681e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3996
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 0.16687504589868236948084439946419
y[1] (numeric) = 0.1668750458986823694808443994642
absolute error = 1e-32
relative error = 5.9925077150669170905177714380902e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3986
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 0.16785134793015591251578115124434
y[1] (numeric) = 0.16785134793015591251578115124435
absolute error = 1e-32
relative error = 5.9576524843643603107585299136780e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3976
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 0.16883156394317088783693562384528
y[1] (numeric) = 0.1688315639431708878369356238453
absolute error = 2e-32
relative error = 1.1846126122916238755787477423089e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3966
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 0.16981570931410176081110408931666
y[1] (numeric) = 0.16981570931410176081110408931666
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3956
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 0.17080379954173326576455025895404
y[1] (numeric) = 0.17080379954173326576455025895406
absolute error = 2e-32
relative error = 1.1709341392673943085977365981533e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3946
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.3MB, time=14.70
x[1] = 0.462
y[1] (analytic) = 0.17179585024847694153845354195997
y[1] (numeric) = 0.17179585024847694153845354195998
absolute error = 1e-32
relative error = 5.8208623698049162493424589902447e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3936
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 0.1727918771816032053243367313029
y[1] (numeric) = 0.1727918771816032053243367313029
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3926
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 0.17379189621448920170937636766562
y[1] (numeric) = 0.17379189621448920170937636766564
absolute error = 2e-32
relative error = 1.1508016447047995488893807411437e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3916
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 0.17479592334788266809843883616969
y[1] (numeric) = 0.1747959233478826680984388361697
absolute error = 1e-32
relative error = 5.7209572216954862135974555984135e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3906
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 0.17580397471118206200336353701804
y[1] (numeric) = 0.17580397471118206200336353701807
absolute error = 3e-32
relative error = 1.7064460601237954510837364878881e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3896
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 0.17681606656373320010243462075124
y[1] (numeric) = 0.17681606656373320010243462075125
absolute error = 1e-32
relative error = 5.6555946494802883453264366888706e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3886
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 0.17783221529614266347619971224456
y[1] (numeric) = 0.17783221529614266347619971224458
absolute error = 2e-32
relative error = 1.1246556180326578611324005515817e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3876
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 0.17885243743160822802191568838609
y[1] (numeric) = 0.17885243743160822802191568838612
absolute error = 3e-32
relative error = 1.6773604224136875491829967383821e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3866
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 0.17987674962726658374009035652307
y[1] (numeric) = 0.17987674962726658374009035652308
absolute error = 1e-32
relative error = 5.5593621858976218981929542316372e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3856
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 0.18090516867555861137506330333127
y[1] (numeric) = 0.1809051686755586113750633033313
absolute error = 3e-32
relative error = 1.6583274109654105461652887972020e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3846
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 0.18193771150561248977960541410263
y[1] (numeric) = 0.18193771150561248977960541410264
absolute error = 1e-32
relative error = 5.4963866024507601128586526304260e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3836
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 0.18297439518464491236345008948398
y[1] (numeric) = 0.18297439518464491236345008948399
absolute error = 1e-32
relative error = 5.4652455552093516331267778752950e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3826
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.3MB, time=15.07
x[1] = 0.474
y[1] (analytic) = 0.18401523691938069607989652606788
y[1] (numeric) = 0.18401523691938069607989652606791
absolute error = 3e-32
relative error = 1.6302997785527599180714711310478e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3817
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 0.18506025405749107160560588000349
y[1] (numeric) = 0.1850602540574910716056058800035
absolute error = 1e-32
relative error = 5.4036454510072088869219755517360e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3807
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 0.18610946408905094867896859967036
y[1] (numeric) = 0.18610946408905094867896859967038
absolute error = 2e-32
relative error = 1.0746363758497666257619742601139e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3797
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 0.18716288464801545598454606628662
y[1] (numeric) = 0.18716288464801545598454606628664
absolute error = 2e-32
relative error = 1.0685879327844643785094263300870e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3787
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 0.18822053351371606050774069391802
y[1] (numeric) = 0.18822053351371606050774069391803
absolute error = 1e-32
relative error = 5.3129166161200351406968924642365e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3777
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 0.18928242861237657693775498067058
y[1] (numeric) = 0.18928242861237657693775498067059
absolute error = 1e-32
relative error = 5.2831105736066891077235996765777e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3767
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 0.19034858801864938347086328859739
y[1] (numeric) = 0.1903485880186493834708632885974
absolute error = 1e-32
relative error = 5.2535194004277305284229556142495e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3757
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 0.1914190299571721662629165498032
y[1] (numeric) = 0.19141902995717216626291654980322
absolute error = 2e-32
relative error = 1.0448281973048746946319276408412e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3747
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 0.19249377280414552080278259944088
y[1] (numeric) = 0.19249377280414552080278259944088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3737
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 0.19357283508893174463012539162313
y[1] (numeric) = 0.19357283508893174463012539162314
absolute error = 1e-32
relative error = 5.1660141235239818190974172501385e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3727
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 0.19465623549567516210465828267424
y[1] (numeric) = 0.19465623549567516210465828267425
absolute error = 1e-32
relative error = 5.1372615804142468560235698994076e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3717
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 0.1957439928649443283529669482349
y[1] (numeric) = 0.19574399286494432835296694823492
absolute error = 2e-32
relative error = 1.0217427215658778837292193152750e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3707
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.3MB, time=15.46
x[1] = 0.486
y[1] (analytic) = 0.19683612619539646607646966231104
y[1] (numeric) = 0.19683612619539646607646966231105
absolute error = 1e-32
relative error = 5.0803682196392851356731022411587e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3697
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 0.19793265464546449560343874459363
y[1] (numeric) = 0.19793265464546449560343874459364
absolute error = 1e-32
relative error = 5.0522234534326465250864236682528e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3687
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 0.19903359753506702541271057553836
y[1] (numeric) = 0.19903359753506702541271057553837
absolute error = 1e-32
relative error = 5.0242773701752214863099123184449e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3677
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 0.20013897434734167735032048232492
y[1] (numeric) = 0.20013897434734167735032048232492
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3667
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 0.20124880473040212790646783148278
y[1] (numeric) = 0.20124880473040212790646783148279
absolute error = 1e-32
relative error = 4.9689736112451684474877332110809e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3657
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 0.20236310849911925422270058571367
y[1] (numeric) = 0.20236310849911925422270058571368
absolute error = 1e-32
relative error = 4.9416121713921601676374972000402e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3647
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 0.20348190563692678096186510926882
y[1] (numeric) = 0.20348190563692678096186510926883
absolute error = 1e-32
relative error = 4.9144418854829393780994555550116e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3637
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 0.20460521629765183180015992408208
y[1] (numeric) = 0.20460521629765183180015992408208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3627
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 0.20573306080737079709563450054547
y[1] (numeric) = 0.20573306080737079709563450054547
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3617
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 0.20686545966629093725487169578671
y[1] (numeric) = 0.20686545966629093725487169578673
absolute error = 2e-32
relative error = 9.6681195750433113478467192306885e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3607
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 0.20800243355065814946368685691294
y[1] (numeric) = 0.20800243355065814946368685691294
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3597
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 0.20914400331469133377288920903562
y[1] (numeric) = 0.20914400331469133377288920903563
absolute error = 1e-32
relative error = 4.7813945614081823239082809691095e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3587
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.3MB, time=15.84
x[1] = 0.498
y[1] (analytic) = 0.21029018999254380304102653146135
y[1] (numeric) = 0.21029018999254380304102653146137
absolute error = 2e-32
relative error = 9.5106671408253205126365174127184e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3577
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 0.211441014800292189937243925683
y[1] (numeric) = 0.211441014800292189937243925683
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3567
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 0.21259649913795331310373430135607
y[1] (numeric) = 0.21259649913795331310373430135608
absolute error = 1e-32
relative error = 4.7037463178126118222589330970212e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3557
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 0.21375666459152947367367967740669
y[1] (numeric) = 0.2137566645915294736736796774067
absolute error = 1e-32
relative error = 4.6782167092236101339116339073361e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3547
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 0.21492153293508266264215534878314
y[1] (numeric) = 0.21492153293508266264215534878313
absolute error = 1e-32
relative error = 4.6528609132061762354065029110047e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3537
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 0.21609112613283816909941377645172
y[1] (numeric) = 0.21609112613283816909941377645171
absolute error = 1e-32
relative error = 4.6276773039965917885687794860020e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3527
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 0.21726546634131808906365010444283
y[1] (numeric) = 0.21726546634131808906365010444283
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3517
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 0.21844457591150524459929752205342
y[1] (numeric) = 0.21844457591150524459929752205342
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3507
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 0.2196284773910380330827867321846
y[1] (numeric) = 0.21962847739103803308278673218458
absolute error = 2e-32
relative error = 9.1062872345060032954282289276410e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3497
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 0.22081719352643673688637040242863
y[1] (numeric) = 0.22081719352643673688637040242862
absolute error = 1e-32
relative error = 4.5286328660828565619116884165340e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3487
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 0.22201074726536183439806901447477
y[1] (numeric) = 0.22201074726536183439806901447479
absolute error = 2e-32
relative error = 9.0085728940386321547271185516805e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3477
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 0.22320916175890486418822014603879
y[1] (numeric) = 0.22320916175890486418822014603881
absolute error = 2e-32
relative error = 8.9602056843897026340675801251682e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3467
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.3MB, time=16.21
x[1] = 0.51
y[1] (analytic) = 0.22441246036391240527686836288257
y[1] (numeric) = 0.22441246036391240527686836288258
absolute error = 1e-32
relative error = 4.4560805508677058690335670014748e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3457
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 0.22562066664534374785786097350536
y[1] (numeric) = 0.22562066664534374785786097350537
absolute error = 1e-32
relative error = 4.4322180891873431798150655338679e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3447
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 0.22683380437866284050174914527395
y[1] (numeric) = 0.22683380437866284050174914527396
absolute error = 1e-32
relative error = 4.4085139899635927728333045882482e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3437
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 0.22805189755226511179736344590949
y[1] (numeric) = 0.2280518975522651117973634459095
absolute error = 1e-32
relative error = 4.3849668024394281562282373767418e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3427
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 0.2292749703699397766083691028616
y[1] (numeric) = 0.2292749703699397766083691028616
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3417
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 0.23050304725336824962354921566516
y[1] (numeric) = 0.23050304725336824962354921566516
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3407
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 0.23173615284465930167556930792121
y[1] (numeric) = 0.23173615284465930167556930792121
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3397
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 0.23297431200892160740032188224447
y[1] (numeric) = 0.23297431200892160740032188224449
absolute error = 2e-32
relative error = 8.5846374338618552724429885602945e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3387
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 0.23421754983687434621564260447796
y[1] (numeric) = 0.23421754983687434621564260447797
absolute error = 1e-32
relative error = 4.2695348862477242617996900891405e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3377
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 0.23546589164749653232247507920364
y[1] (numeric) = 0.23546589164749653232247507920365
absolute error = 1e-32
relative error = 4.2468995955348252064647389211370e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3367
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 0.236719362990715763481928446105
y[1] (numeric) = 0.236719362990715763481928446105
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3357
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 0.23797798965013709270686368162866
y[1] (numeric) = 0.23797798965013709270686368162865
absolute error = 1e-32
relative error = 4.2020692815757800773898589420422e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3347
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.3MB, time=16.59
x[1] = 0.522
y[1] (analytic) = 0.23924179764581274173566419649009
y[1] (numeric) = 0.23924179764581274173566419649009
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3337
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 0.2405108132370533902379675596069
y[1] (numeric) = 0.24051081323705339023796755960691
absolute error = 1e-32
relative error = 4.1578172163692920237638971250571e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3327
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 0.24178506292528179014691017586502
y[1] (numeric) = 0.24178506292528179014691017586502
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3317
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 0.24306457345692947032970570563759
y[1] (numeric) = 0.2430645734569294703297057056376
absolute error = 1e-32
relative error = 4.1141330708039108401521080519031e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3307
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 0.24434937182637731300827870856096
y[1] (numeric) = 0.24434937182637731300827870856096
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3297
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 0.24563948527894079993465268464605
y[1] (numeric) = 0.24563948527894079993465268464605
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3287
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 0.24693494131390074332260941635657
y[1] (numeric) = 0.24693494131390074332260941635658
absolute error = 1e-32
relative error = 4.0496496554078669772833868658784e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3277
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 0.24823576768758033394888577924009
y[1] (numeric) = 0.2482357676875803339488857792401
absolute error = 1e-32
relative error = 4.0284283337385941688204179209928e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3267
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 0.24954199241646935667528598811593
y[1] (numeric) = 0.24954199241646935667528598811595
absolute error = 2e-32
relative error = 8.0146831426356894178766316015866e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3257
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 0.25085364378039644191934355807125
y[1] (numeric) = 0.25085364378039644191934355807125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3247
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 0.25217075032575024032771292772805
y[1] (numeric) = 0.25217075032575024032771292772805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3237
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 0.25349334086875042709582575658918
y[1] (numeric) = 0.25349334086875042709582575658917
absolute error = 1e-32
relative error = 3.9448768025735374070333519392722e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3227
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.3MB, time=16.97
x[1] = 0.534
y[1] (analytic) = 0.25482144449876946204241939578455
y[1] (numeric) = 0.25482144449876946204241939578457
absolute error = 2e-32
relative error = 7.8486330062761183383423710724900e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3217
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 0.25615509058170605170164422305702
y[1] (numeric) = 0.25615509058170605170164422305702
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3207
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 0.25749430876341128035230672634535
y[1] (numeric) = 0.25749430876341128035230672634535
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3197
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 0.2588391289731683980775600110027
y[1] (numeric) = 0.25883912897316839807756001100272
absolute error = 2e-32
relative error = 7.7268070246339092348610476526815e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3187
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 0.26018958142722727565361050353325
y[1] (numeric) = 0.26018958142722727565361050353328
absolute error = 3e-32
relative error = 1.1530054291736018118278922815859e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3177
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 0.2615456966323945583178262319931
y[1] (numeric) = 0.26154569663239455831782623199312
absolute error = 2e-32
relative error = 7.6468472842473209314618064213340e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3167
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 0.26290750538968057328054083444422
y[1] (numeric) = 0.26290750538968057328054083444423
absolute error = 1e-32
relative error = 3.8036190656398475272155853343915e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3157
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 0.26427503879800406923687305569185
y[1] (numeric) = 0.26427503879800406923687305569184
absolute error = 1e-32
relative error = 3.7839366311259528439724411151111e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3147
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 0.26564832825795589012155783012608
y[1] (numeric) = 0.26564832825795589012155783012607
absolute error = 1e-32
relative error = 3.7643752797456237855998451907978e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3137
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 0.26702740547562270994817307989775
y[1] (numeric) = 0.26702740547562270994817307989776
absolute error = 1e-32
relative error = 3.7449339636837063956630308210292e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3127
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 0.2684123024664719808018526635311
y[1] (numeric) = 0.26841230246647198080185266353113
absolute error = 3e-32
relative error = 1.1176834938013830928544162459748e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3118
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 0.26980305155929927192977194213585
y[1] (numeric) = 0.26980305155929927192977194213585
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3108
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.3MB, time=17.35
x[1] = 0.546
y[1] (analytic) = 0.27119968540023920441513451064888
y[1] (numeric) = 0.27119968540023920441513451064888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3098
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 0.27260223695684121314743873648422
y[1] (numeric) = 0.27260223695684121314743873648422
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3088
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 0.27401073952221139573445005024648
y[1] (numeric) = 0.27401073952221139573445005024648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3078
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 0.27542522671922173666018828501372
y[1] (numeric) = 0.27542522671922173666018828501373
absolute error = 1e-32
relative error = 3.6307494847573840247832289959537e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3068
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 0.27684573250478802439967055473655
y[1] (numeric) = 0.27684573250478802439967055473656
absolute error = 1e-32
relative error = 3.6121199736488807225216368393333e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3058
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 0.2782722911742178093771381569942
y[1] (numeric) = 0.27827229117421780937713815699422
absolute error = 2e-32
relative error = 7.1872049910562632731325159951380e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3048
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 0.27970493736562978162277207416712
y[1] (numeric) = 0.27970493736562978162277207416716
absolute error = 4e-32
relative error = 1.4300784382548125452553522559690e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3038
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 0.28114370606444597876694562221065
y[1] (numeric) = 0.28114370606444597876694562221068
absolute error = 3e-32
relative error = 1.0670699486732654535931776458196e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3028
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 0.28258863260795826763513014948652
y[1] (numeric) = 0.28258863260795826763513014948654
absolute error = 2e-32
relative error = 7.0774255197117081543443306047812e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3018
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 0.2840397526899705761957198939051
y[1] (numeric) = 0.28403975268997057619571989390512
absolute error = 2e-32
relative error = 7.0412679248562796686939502346978e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.3008
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 0.28549710236551838699316803346778
y[1] (numeric) = 0.28549710236551838699316803346778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2998
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 0.28696071805566703849668446510885
y[1] (numeric) = 0.28696071805566703849668446510887
absolute error = 2e-32
relative error = 6.9695950496333204883664964660965e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2988
Order of pole = 625
memory used=179.3MB, alloc=4.3MB, time=17.73
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 0.28843063655239041703798957307598
y[1] (numeric) = 0.28843063655239041703798957307599
absolute error = 1e-32
relative error = 3.4670380787318355107143724309920e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2978
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 0.28990689502353165922882875694828
y[1] (numeric) = 0.28990689502353165922882875694829
absolute error = 1e-32
relative error = 3.4493832922422569074024257824660e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2968
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 0.29138953101784752296967467881318
y[1] (numeric) = 0.29138953101784752296967467881318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2958
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 0.29287858247013812441582213645468
y[1] (numeric) = 0.29287858247013812441582213645468
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2948
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 0.29437408770646377858749472790712
y[1] (numeric) = 0.29437408770646377858749472790714
absolute error = 2e-32
relative error = 6.7940762571273171044374301510237e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2938
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 0.29587608544945072272928889204992
y[1] (numeric) = 0.29587608544945072272928889204995
absolute error = 3e-32
relative error = 1.0139379786111636657303283844271e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2928
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 0.29738461482368754407505104821282
y[1] (numeric) = 0.29738461482368754407505104821284
absolute error = 2e-32
relative error = 6.7252974777654644815122457140792e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2918
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 0.29889971536121417739204675629845
y[1] (numeric) = 0.29889971536121417739204675629846
absolute error = 1e-32
relative error = 3.3456037212732722208868767099700e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2908
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 0.30042142700710538259916801361045
y[1] (numeric) = 0.30042142700710538259916801361049
absolute error = 4e-32
relative error = 1.3314629518437759311706230449218e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2898
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 0.3019497901251506589153141522659
y[1] (numeric) = 0.30194979012515065891531415226594
absolute error = 4e-32
relative error = 1.3247235569669049081469907529664e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2888
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 0.3034848455036325994346462024751
y[1] (numeric) = 0.30348484550363259943464620247513
absolute error = 3e-32
relative error = 9.8851723387423347586919436992173e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2878
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 0.30502663436120573878517119177172
y[1] (numeric) = 0.30502663436120573878517119177175
absolute error = 3e-32
relative error = 9.8352067067279996781902079401129e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2868
Order of pole = 625
memory used=183.1MB, alloc=4.3MB, time=18.10
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 0.30657519835287799664747463437962
y[1] (numeric) = 0.30657519835287799664747463437965
absolute error = 3e-32
relative error = 9.7855273881186654216617039189701e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2858
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 0.30813057957609687143424897414468
y[1] (numeric) = 0.30813057957609687143424897414471
absolute error = 3e-32
relative error = 9.7361320130159649212571855681633e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2848
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 0.30969282057694259140293110362448
y[1] (numeric) = 0.3096928205769425914029311036245
absolute error = 2e-32
relative error = 6.4580121562847266889863926615322e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2838
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 0.31126196435643048493919537294975
y[1] (numeric) = 0.31126196435643048493919537294978
absolute error = 3e-32
relative error = 9.6381837279824447162524339958294e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2828
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 0.31283805437692488775580662033432
y[1] (numeric) = 0.31283805437692488775580662033437
absolute error = 5e-32
relative error = 1.5982710319428462839165514274213e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2818
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 0.31442113456866696234866585922478
y[1] (numeric) = 0.31442113456866696234866585922481
absolute error = 3e-32
relative error = 9.5413433454958319150112479573716e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2808
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 0.3160112493364188642907789262022
y[1] (numeric) = 0.31601124933641886429077892620222
absolute error = 2e-32
relative error = 6.3288886208947659263096319279694e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2798
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 0.31760844356622675087816863351152
y[1] (numeric) = 0.31760844356622675087816863351154
absolute error = 2e-32
relative error = 6.2970618083803117039990375081268e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2788
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 0.31921276263230519032415217958592
y[1] (numeric) = 0.31921276263230519032415217958593
absolute error = 1e-32
relative error = 3.1327068246073858884027213336478e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2778
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 0.32082425240404559418660662478855
y[1] (numeric) = 0.32082425240404559418660662478858
absolute error = 3e-32
relative error = 9.3509140207449291841573256787335e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2768
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 0.32244295925315136206558382532715
y[1] (numeric) = 0.32244295925315136206558382532716
absolute error = 1e-32
relative error = 3.1013237265785533075024502446936e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2758
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.581
memory used=186.9MB, alloc=4.3MB, time=18.48
y[1] (analytic) = 0.32406893006090249588678058343908
y[1] (numeric) = 0.3240689300609024958867805834391
absolute error = 2e-32
relative error = 6.1715265317910563989656087920735e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2748
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 0.32570221222555251135300404234435
y[1] (numeric) = 0.32570221222555251135300404234436
absolute error = 1e-32
relative error = 3.0702892472449298247436579600707e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2738
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 0.32734285366986054646628559336278
y[1] (numeric) = 0.3273428536698605464662855933628
absolute error = 2e-32
relative error = 6.1098019326766383947183937569035e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2728
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 0.32899090284876164146547574886052
y[1] (numeric) = 0.32899090284876164146547574886055
absolute error = 3e-32
relative error = 9.1187931764153105224823556394796e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2718
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 0.33064640875717824115827954767272
y[1] (numeric) = 0.33064640875717824115827954767275
absolute error = 3e-32
relative error = 9.0731365003366933987260331687927e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2708
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 0.33230942093797604952564546792422
y[1] (numeric) = 0.33230942093797604952564546792423
absolute error = 1e-32
relative error = 3.0092436054849169513971274294069e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2698
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 0.33397998949006744771578118361725
y[1] (numeric) = 0.33397998949006744771578118361726
absolute error = 1e-32
relative error = 2.9941913631617141010286789501767e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2688
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 0.3356581650766657702032303928491
y[1] (numeric) = 0.33565816507666577020323039284912
absolute error = 2e-32
relative error = 5.9584428686344972071934872732387e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2678
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 0.33734399893369382004672845190948
y[1] (numeric) = 0.3373439989336938200467284519095
absolute error = 2e-32
relative error = 5.9286663059718670583693065598074e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2668
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 0.33903754287835009292233205362918
y[1] (numeric) = 0.33903754287835009292233205362922
absolute error = 4e-32
relative error = 1.1798103437279918545297553932094e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2658
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 0.3407388493178362710231366165836
y[1] (numeric) = 0.34073884931783627102313661658362
absolute error = 2e-32
relative error = 5.8695977990300393459117490989002e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2648
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 0.34244797125824964209460884301398
y[1] (numeric) = 0.342447971258249642094608843014
absolute error = 2e-32
relative error = 5.8403032514733275367633375687586e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2638
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.3MB, time=18.86
x[1] = 0.593
y[1] (analytic) = 0.34416496231364419590947098371498
y[1] (numeric) = 0.344164962313644195909470983715
absolute error = 2e-32
relative error = 5.8111667920959405048246857815150e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2628
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 0.3458898767152642504760674083988
y[1] (numeric) = 0.34588987671526425047606740839881
absolute error = 1e-32
relative error = 2.8910935743378164716653546384318e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2618
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 0.34762276932095456332085346902042
y[1] (numeric) = 0.34762276932095456332085346902046
absolute error = 4e-32
relative error = 1.1506726121000617605061389580170e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2608
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 0.3493636956247509893946002074339
y[1] (numeric) = 0.34936369562475098939460020743394
absolute error = 4e-32
relative error = 1.1449386556456544292309878700156e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2598
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 0.3511127117666558566326986739816
y[1] (numeric) = 0.35111271176665585663269867398161
absolute error = 1e-32
relative error = 2.8480882818750940591652314167152e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2588
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 0.35286987454260234306640338983192
y[1] (numeric) = 0.35286987454260234306640338983195
absolute error = 3e-32
relative error = 8.5017175350790873844259077531397e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2578
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 0.3546352414146122557522219654087
y[1] (numeric) = 0.35463524141461225575222196540873
absolute error = 3e-32
relative error = 8.4593961616257721976554792425291e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2568
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 0.35640887052115173178378979869085
y[1] (numeric) = 0.35640887052115173178378979869086
absolute error = 1e-32
relative error = 2.8057663058098695207742167987011e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2558
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 0.3581908206876895054021225727954
y[1] (numeric) = 0.35819082068768950540212257279543
absolute error = 3e-32
relative error = 8.3754240106999637917819338448610e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2548
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 0.35998115143746251285878465284582
y[1] (numeric) = 0.35998115143746251285878465284586
absolute error = 4e-32
relative error = 1.1111692887328567120988400693007e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2538
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 0.36177992300245373835014772748912
y[1] (numeric) = 0.36177992300245373835014772748914
absolute error = 2e-32
relative error = 5.5282227476908252529973366644444e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2528
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 0.36358719633458734017289766083038
y[1] (numeric) = 0.3635871963345873401728976608304
absolute error = 2e-32
relative error = 5.5007437560026750163842133900209e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2518
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.3MB, time=19.25
x[1] = 0.605
y[1] (analytic) = 0.36540303311714623640033076199352
y[1] (numeric) = 0.36540303311714623640033076199355
absolute error = 3e-32
relative error = 8.2101124733636686133419023379630e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2508
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 0.36722749577641747400076144572182
y[1] (numeric) = 0.36722749577641747400076144572184
absolute error = 2e-32
relative error = 5.4462152834483792853273918080793e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2498
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 0.36906064749357085457474704300388
y[1] (numeric) = 0.36906064749357085457474704300391
absolute error = 3e-32
relative error = 8.1287452898978097782522126676866e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2488
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 0.37090255221677644394450998327975
y[1] (numeric) = 0.37090255221677644394450998327978
absolute error = 3e-32
relative error = 8.0883778827346278418201948762527e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2478
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 0.37275327467356675186136040451968
y[1] (numeric) = 0.3727532746735667518613604045197
absolute error = 2e-32
relative error = 5.3654793556179240916801439120434e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2468
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 0.37461288038344953228662306497905
y[1] (numeric) = 0.37461288038344953228662306497908
absolute error = 3e-32
relative error = 8.0082670860896019683375124683082e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2458
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 0.3764814356707773242374693789527
y[1] (numeric) = 0.37648143567077732423746937895273
absolute error = 3e-32
relative error = 7.9685203990334801199549997157203e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2448
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 0.37835900767788002826778731412328
y[1] (numeric) = 0.37835900767788002826778731412328
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2438
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 0.38024566437846699448049679924702
y[1] (numeric) = 0.38024566437846699448049679924704
absolute error = 2e-32
relative error = 5.2597575392979507385145910597057e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2428
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 0.38214147459130528475467915847262
y[1] (numeric) = 0.38214147459130528475467915847265
absolute error = 3e-32
relative error = 7.8504956919644906414883270715461e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2418
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 0.38404650799418096484049770151462
y[1] (numeric) = 0.38404650799418096484049770151464
absolute error = 2e-32
relative error = 5.2077026046811596176702415607715e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2409
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 0.38596083513815048135832661147855
y[1] (numeric) = 0.38596083513815048135832661147858
absolute error = 3e-32
relative error = 7.7728093808434802524197994605019e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2399
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.3MB, time=19.62
x[1] = 0.617
y[1] (analytic) = 0.38788452746208938477660541869105
y[1] (numeric) = 0.38788452746208938477660541869108
absolute error = 3e-32
relative error = 7.7342605533375150569135743534563e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2389
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 0.38981765730754587238661493544755
y[1] (numeric) = 0.38981765730754587238661493544758
absolute error = 3e-32
relative error = 7.6959058774322167585134082884709e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2379
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 0.39176029793390684540310236305708
y[1] (numeric) = 0.39176029793390684540310236305711
absolute error = 3e-32
relative error = 7.6577438189158321655326119804509e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2369
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 0.39371252353388440186999028801362
y[1] (numeric) = 0.39371252353388440186999028801366
absolute error = 4e-32
relative error = 1.0159697141703303575948184427428e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2359
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 0.39567440924933092232437107094718
y[1] (numeric) = 0.39567440924933092232437107094721
absolute error = 3e-32
relative error = 7.5819914805497948468509518579087e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2349
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 0.39764603118739114846580395251425
y[1] (numeric) = 0.39764603118739114846580395251429
absolute error = 4e-32
relative error = 1.0059197593537644061893150141450e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2339
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 0.39962746643699990670046072243192
y[1] (numeric) = 0.39962746643699990670046072243197
absolute error = 5e-32
relative error = 1.2511652526236545046095620749317e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2329
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 0.4016187930857343887030442642196
y[1] (numeric) = 0.40161879308573438870304426421963
absolute error = 3e-32
relative error = 7.4697699700511371186390386317035e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2319
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 0.40362009023703017039967370846012
y[1] (numeric) = 0.40362009023703017039967370846016
absolute error = 4e-32
relative error = 9.9103094636616270986778323422769e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2309
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 0.40563143802777042937269805099502
y[1] (numeric) = 0.40563143802777042937269805099507
absolute error = 5e-32
relative error = 1.2326460750455167856871464055472e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2299
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 0.4076529176462581089895390185005
y[1] (numeric) = 0.40765291764625810898953901850055
absolute error = 5e-32
relative error = 1.2265335984517012938545192337791e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2289
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 0.40968461135058107594404435628645
y[1] (numeric) = 0.40968461135058107594404435628648
absolute error = 3e-32
relative error = 7.3227060936218515146424215872687e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2279
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.3MB, time=20.00
x[1] = 0.629
y[1] (analytic) = 0.41172660248738062676909671150055
y[1] (numeric) = 0.41172660248738062676909671150058
absolute error = 3e-32
relative error = 7.2863885449130036637689339543917e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2269
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 0.41377897551103401864959832986025
y[1] (numeric) = 0.41377897551103401864959832986028
absolute error = 3e-32
relative error = 7.2502475416854538405875052920192e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2259
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 0.4158418160032620309701077140813
y[1] (numeric) = 0.41584181600326203097010771408133
absolute error = 3e-32
relative error = 7.2142816920953105632197989752582e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2249
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 0.41791521069317290692535631539778
y[1] (numeric) = 0.41791521069317290692535631539781
absolute error = 3e-32
relative error = 7.1784896152118164976339163447598e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2239
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 0.41999924747775437967893293054022
y[1] (numeric) = 0.41999924747775437967893293054024
absolute error = 2e-32
relative error = 4.7619132939182985444238166802090e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2229
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 0.42209401544282585547120158596338
y[1] (numeric) = 0.42209401544282585547120158596339
absolute error = 1e-32
relative error = 2.3691404365230891972378406453648e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2219
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 0.42419960488446320726998212429075
y[1] (numeric) = 0.42419960488446320726998212429079
absolute error = 4e-32
relative error = 9.4295231630153377045888706888364e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2209
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 0.42631610733090902756810856877825
y[1] (numeric) = 0.42631610733090902756810856877828
absolute error = 3e-32
relative error = 7.0370317902893184688175422801047e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2199
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 0.42844361556498159832677119271472
y[1] (numeric) = 0.42844361556498159832677119271475
absolute error = 3e-32
relative error = 7.0020882352137491820104621969032e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2189
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 0.43058222364699626043451173775875
y[1] (numeric) = 0.43058222364699626043451173775877
absolute error = 2e-32
relative error = 4.6448735924585166988845319662565e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2179
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 0.43273202693821330501803818649775
y[1] (numeric) = 0.43273202693821330501803818649778
absolute error = 3e-32
relative error = 6.9326969423234958095156685653366e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2169
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 0.4348931221248269651503902051266
y[1] (numeric) = 0.43489312212482696515039020512663
absolute error = 3e-32
relative error = 6.8982465975603836116026966936187e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2159
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.3MB, time=20.38
x[1] = 0.641
y[1] (analytic) = 0.43706560724251055963218388897882
y[1] (numeric) = 0.43706560724251055963218388897885
absolute error = 3e-32
relative error = 6.8639580655345816039818623333820e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2149
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 0.43924958170153333128202925140358
y[1] (numeric) = 0.43924958170153333128202925140358
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2139
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 0.44144514631246503130527498989598
y[1] (numeric) = 0.441445146312465031305274989896
absolute error = 2e-32
relative error = 4.5305742212971438678170811317554e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2129
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 0.4436524033124848295934327170461
y[1] (numeric) = 0.44365240331248482959343271704613
absolute error = 3e-32
relative error = 6.7620505999760397343420176609974e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2119
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 0.44587145639231167905413270020525
y[1] (numeric) = 0.44587145639231167905413270020527
absolute error = 2e-32
relative error = 4.4855977464505994672341875915082e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2109
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 0.44810241072377383113607363399262
y[1] (numeric) = 0.44810241072377383113607363399265
absolute error = 3e-32
relative error = 6.6948981487388294069239451342961e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2099
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 0.45034537298803579048862841339198
y[1] (numeric) = 0.45034537298803579048862841339199
absolute error = 1e-32
relative error = 2.2205179845970500120836984640299e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2089
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 0.45260045140450161011784824355088
y[1] (numeric) = 0.45260045140450161011784824355091
absolute error = 3e-32
relative error = 6.6283628102677621300059746792155e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2079
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 0.45486775576041406545094186231225
y[1] (numeric) = 0.45486775576041406545094186231227
absolute error = 2e-32
relative error = 4.3968823348591698447393993610012e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2069
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 0.45714739744116990742874870944712
y[1] (numeric) = 0.45714739744116990742874870944714
absolute error = 2e-32
relative error = 4.3749565483578610960704309632808e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2059
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 0.45943948946137208218914768393645
y[1] (numeric) = 0.45943948946137208218914768393646
absolute error = 1e-32
relative error = 2.1765651907117491721328746250444e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2049
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 0.46174414649664051921532744991608
y[1] (numeric) = 0.4617441464966405192153274499161
absolute error = 2e-32
relative error = 4.3314030403513762037148698547554e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2039
Order of pole = 625
memory used=209.8MB, alloc=4.3MB, time=20.76
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 0.46406148491620383218852488418795
y[1] (numeric) = 0.46406148491620383218852488418797
absolute error = 2e-32
relative error = 4.3097737369028643333479843187860e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2029
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 0.46639162281629504845091896942162
y[1] (numeric) = 0.46639162281629504845091896942164
absolute error = 2e-32
relative error = 4.2882416882255435183196309564105e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2019
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 0.46873468005437528525831526459095
y[1] (numeric) = 0.46873468005437528525831526459096
absolute error = 1e-32
relative error = 2.1334030583868801858852243962945e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.2009
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 0.47109077828421012525668664314548
y[1] (numeric) = 0.47109077828421012525668664314549
absolute error = 1e-32
relative error = 2.1227331251147899834808646143074e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1999
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 0.4734600409918243112929022145643
y[1] (numeric) = 0.47346004099182431129290221456431
absolute error = 1e-32
relative error = 2.1121106607120577664059392351566e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1989
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 0.4758425935323612832819739765236
y[1] (numeric) = 0.47584259353236128328197397652362
absolute error = 2e-32
relative error = 4.2030705682592141526868931536830e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1979
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 0.47823856316787501899135481319495
y[1] (numeric) = 0.47823856316787501899135481319497
absolute error = 2e-32
relative error = 4.1820132336294771966817622824634e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1969
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 0.4806480791060826179385690307147
y[1] (numeric) = 0.48064807910608261793856903071471
absolute error = 1e-32
relative error = 2.0805242826722969955100128922994e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1959
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 0.48307127254010708488849219044905
y[1] (numeric) = 0.48307127254010708488849219044905
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1949
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 0.48550827668924082852789800557668
y[1] (numeric) = 0.48550827668924082852789800557668
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1939
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 0.48795922684076149372979140662982
y[1] (numeric) = 0.48795922684076149372979140662982
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1929
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 0.49042426039283289444168455597
y[1] (numeric) = 0.49042426039283289444168455597002
absolute error = 2e-32
relative error = 4.0781016795498402003908638763311e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1919
Order of pole = 625
memory used=213.6MB, alloc=4.3MB, time=21.14
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 0.4929035168985250107900681177558
y[1] (numeric) = 0.49290351689852501079006811775581
absolute error = 1e-32
relative error = 2.0287946133804354889639540063003e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1909
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 0.49539713811098826075033893758558
y[1] (numeric) = 0.49539713811098826075033893758558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1899
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 0.49790526802981855606909426475458
y[1] (numeric) = 0.49790526802981855606909426475459
absolute error = 1e-32
relative error = 2.0084141787793094593249116782600e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1889
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 0.50042805294865100655194305852988
y[1] (numeric) = 0.50042805294865100655194305852987
absolute error = 1e-32
relative error = 1.9982892527861745227712881173001e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1879
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 0.5029656415040215489863902458773
y[1] (numeric) = 0.5029656415040215489863902458773
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1869
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 0.50551818472553724963898892950448
y[1] (numeric) = 0.50551818472553724963898892950448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1859
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 0.50808583608739756538177478068705
y[1] (numeric) = 0.50808583608739756538177478068706
absolute error = 1e-32
relative error = 1.9681713776960840398929537346984e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1849
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 0.5106687515613104511567465259204
y[1] (numeric) = 0.5106687515613104511567465259204
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1839
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 0.51326708967084887393890070344728
y[1] (numeric) = 0.51326708967084887393890070344726
absolute error = 2e-32
relative error = 3.8966067379901027662356244835334e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1829
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 0.51588101154729503904658013467762
y[1] (numeric) = 0.51588101154729503904658013467763
absolute error = 1e-32
relative error = 1.9384314941165881752882375505762e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1819
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 0.51851068098702145720041827888818
y[1] (numeric) = 0.51851068098702145720041827888819
absolute error = 1e-32
relative error = 1.9286005798307372286678726044827e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1809
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 0.52115626451045988397749360687248
y[1] (numeric) = 0.52115626451045988397749360687248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1799
Order of pole = 625
memory used=217.4MB, alloc=4.3MB, time=21.52
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 0.5238179314227111512870511782269
y[1] (numeric) = 0.52381793142271115128705117822691
absolute error = 1e-32
relative error = 1.9090602669594732462054564428531e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1789
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 0.5264958538758509874760847291986
y[1] (numeric) = 0.52649585387585098747608472919858
absolute error = 2e-32
relative error = 3.7987003796455439913249845549988e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1779
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 0.52919020693298909316516580551025
y[1] (numeric) = 0.52919020693298909316516580551024
absolute error = 1e-32
relative error = 1.8896797160999412663039871681445e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1769
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 0.53190116863414100868025572043518
y[1] (numeric) = 0.53190116863414100868025572043518
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1759
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 0.5346289200639746810190493367373
y[1] (numeric) = 0.53462892006397468101904933673729
absolute error = 1e-32
relative error = 1.8704562407142848887415470553256e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1749
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 0.53737364542149611899306534118
y[1] (numeric) = 0.53737364542149611899306534117999
absolute error = 1e-32
relative error = 1.8609025740658286046146679133923e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1739
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 0.54013553209174112014803574620028
y[1] (numeric) = 0.54013553209174112014803574620027
absolute error = 1e-32
relative error = 1.8513871807828996263983292782409e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1729
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 0.54291477071954276823992840880242
y[1] (numeric) = 0.54291477071954276823992840880242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1719
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 0.545711555285447241733765105349
y[1] (numeric) = 0.54571155528544724173376510534901
absolute error = 1e-32
relative error = 1.8324699015708518780337284502260e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.171
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 0.54852608318385344866806459797902
y[1] (numeric) = 0.54852608318385344866806459797902
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.17
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 0.55135855530345511835315368356558
y[1] (numeric) = 0.55135855530345511835315368356558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.169
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 0.55420917611006724322941077159685
y[1] (numeric) = 0.55420917611006724322941077159686
absolute error = 1e-32
relative error = 1.8043728669721586363168158180792e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.168
memory used=221.2MB, alloc=4.3MB, time=21.90
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 0.557078153731922182730619505447
y[1] (numeric) = 0.55707815373192218273061950544702
absolute error = 2e-32
relative error = 3.5901605306217812998205777833659e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.167
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 0.55996570004752432358256657184642
y[1] (numeric) = 0.55996570004752432358256657184645
absolute error = 3e-32
relative error = 5.3574710017870555545220981916040e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.166
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 0.56287203077615594652961867818405
y[1] (numeric) = 0.56287203077615594652961867818405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.165
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 0.56579736557113088747518804337532
y[1] (numeric) = 0.56579736557113088747518804337533
absolute error = 1e-32
relative error = 1.7674172077322654933342653964151e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.164
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 0.56874192811589671147616603284125
y[1] (numeric) = 0.56874192811589671147616603284126
absolute error = 1e-32
relative error = 1.7582667121320843962217618250060e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.163
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 0.57170594622309045159353275347315
y[1] (numeric) = 0.57170594622309045159353275347318
absolute error = 3e-32
relative error = 5.2474528554743129657015366419440e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.162
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 0.5746896519366575125768825367486
y[1] (numeric) = 0.57468965193665751257688253674862
absolute error = 2e-32
relative error = 3.4801392251629418152470603307934e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.161
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 0.57769328163714811375854816356138
y[1] (numeric) = 0.57769328163714811375854816356137
absolute error = 1e-32
relative error = 1.7310223812298110403773164671990e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.16
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 0.5807170761503106591143923513486
y[1] (numeric) = 0.58071707615031065911439235134861
absolute error = 1e-32
relative error = 1.7220089456111734871462686298757e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.159
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 0.58376128085910668877834945394675
y[1] (numeric) = 0.58376128085910668877834945394675
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.158
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 0.58682614581927759980187968677418
y[1] (numeric) = 0.5868261458192775998018796867742
absolute error = 2e-32
relative error = 3.4081644354952304000656607279701e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.157
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 0.5899119258785991399737209966108
y[1] (numeric) = 0.58991192587859913997372099661083
absolute error = 3e-32
relative error = 5.0855049175889769529141082826135e-30 %
memory used=225.0MB, alloc=4.3MB, time=22.28
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.156
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 0.59301888079996579339145786524008
y[1] (numeric) = 0.59301888079996579339145786524009
absolute error = 1e-32
relative error = 1.6862869503430112071359197331325e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.155
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 0.59614727538845360759202232616552
y[1] (numeric) = 0.59614727538845360759202232616553
absolute error = 1e-32
relative error = 1.6774378434395984083035623329685e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.154
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 0.5992973796225167779221993100504
y[1] (numeric) = 0.5992973796225167779221993100504
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.153
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 0.60246946878948042519427861745488
y[1] (numeric) = 0.6024694687894804251942786174549
absolute error = 2e-32
relative error = 3.3196702963529851158041230483979e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.152
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 0.6056638236254994985587380728045
y[1] (numeric) = 0.60566382362549949855873807280452
absolute error = 2e-32
relative error = 3.3021618957328732346282400887797e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.151
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 0.60888073046016162936357856028045
y[1] (numeric) = 0.60888073046016162936357856028046
absolute error = 1e-32
relative error = 1.6423577721769088858455688959499e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.15
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 0.6121204813659200774853158666314
y[1] (numeric) = 0.61212048136592007748531586663142
absolute error = 2e-32
relative error = 3.2673306332392072362547907147202e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.149
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 0.61538337431255167474550036038072
y[1] (numeric) = 0.61538337431255167474550036038075
absolute error = 3e-32
relative error = 4.8750098316375825790849101120636e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.148
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 0.6186697133268439078338508258636
y[1] (numeric) = 0.61866971332684390783385082586361
absolute error = 1e-32
relative error = 1.6163713504295932316229500542847e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.147
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 0.62197980865772502476821277671138
y[1] (numeric) = 0.6219798086577250247682127767114
absolute error = 2e-32
relative error = 3.2155384662986678220437789224191e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.146
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 0.62531397694706132545517453671095
y[1] (numeric) = 0.62531397694706132545517453671095
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.145
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.712
memory used=228.8MB, alloc=4.3MB, time=22.66
y[1] (analytic) = 0.62867254140635664164689504215562
y[1] (numeric) = 0.62867254140635664164689504215562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.144
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 0.63205583199960046010879312202228
y[1] (numeric) = 0.63205583199960046010879312202227
absolute error = 1e-32
relative error = 1.5821387120760435092843143838987e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.143
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 0.63546418563252323320269402232322
y[1] (numeric) = 0.63546418563252323320269402232324
absolute error = 2e-32
relative error = 3.1473056156725120174913196638201e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.142
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 0.63889794634853019412213623946872
y[1] (numeric) = 0.63889794634853019412213623946873
absolute error = 1e-32
relative error = 1.5651952016988988919254509289671e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.141
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 0.64235746553159849336011228804578
y[1] (numeric) = 0.64235746553159849336011228804579
absolute error = 1e-32
relative error = 1.5567655918382232186932505219928e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.14
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 0.64584310211643674544005223370155
y[1] (numeric) = 0.64584310211643674544005223370158
absolute error = 3e-32
relative error = 4.6450910293366278274057665220582e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.139
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 0.64935522280622117066801389812218
y[1] (numeric) = 0.64935522280622117066801389812218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.138
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 0.65289420229823848948119237323138
y[1] (numeric) = 0.6528942022982384894811923732314
absolute error = 2e-32
relative error = 3.0632834431058571003749901296654e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.137
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 0.65646042351778263462532651194828
y[1] (numeric) = 0.65646042351778263462532651194829
absolute error = 1e-32
relative error = 1.5233210779734253665230133385404e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.136
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 0.6600542778606702508977961866134
y[1] (numeric) = 0.6600542778606702508977961866134
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.135
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 0.66367616544475892015431759229875
y[1] (numeric) = 0.66367616544475892015431759229877
absolute error = 2e-32
relative error = 3.0135178934137419804123750292770e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.134
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 0.66732649537087215228781303409972
y[1] (numeric) = 0.66732649537087215228781303409974
absolute error = 2e-32
relative error = 2.9970337066992726831823432377417e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.133
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.724
memory used=232.7MB, alloc=4.3MB, time=23.03
y[1] (analytic) = 0.6710056859935564979364856041507
y[1] (numeric) = 0.67100568599355649793648560415072
absolute error = 2e-32
relative error = 2.9806006741039829379241674762086e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.132
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 0.6747141652021187485988668000766
y[1] (numeric) = 0.67471416520211874859886680007661
absolute error = 1e-32
relative error = 1.4821090938567118487317973816885e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.131
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 0.67845237071241518379947842956612
y[1] (numeric) = 0.67845237071241518379947842956614
absolute error = 2e-32
relative error = 2.9478856384566561556252776986368e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.13
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 0.68222075036989029900858037606362
y[1] (numeric) = 0.68222075036989029900858037606364
absolute error = 2e-32
relative error = 2.9316024159564608754389075157919e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.129
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 0.68601976246438950568580247932738
y[1] (numeric) = 0.6860197624643895056858024793274
absolute error = 2e-32
relative error = 2.9153679083754058649658745202140e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.128
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 0.6898498760572990477095253389845
y[1] (numeric) = 0.6898498760572990477095253389845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.127
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 0.69371157132159694700151930189268
y[1] (numeric) = 0.69371157132159694700151930189269
absolute error = 1e-32
relative error = 1.4415212911828612899378950742707e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.126
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 0.69760533989543130537110109030705
y[1] (numeric) = 0.69760533989543130537110109030705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.125
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 0.70153168524987688992344780724448
y[1] (numeric) = 0.7015316852498768899234478072445
absolute error = 2e-32
relative error = 2.8509047303937879762353924094357e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.124
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 0.70549112307155776759555738292948
y[1] (numeric) = 0.70549112307155776759555738292948
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.123
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 0.70948418166086299466583618219795
y[1] (numeric) = 0.70948418166086299466583618219795
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.122
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 0.71351140234652418708534723213208
y[1] (numeric) = 0.71351140234652418708534723213207
absolute error = 1e-32
relative error = 1.4015192983760330496383839627735e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.121
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 0.7175733399173683895766471936276
y[1] (numeric) = 0.7175733399173683895766471936276
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=236.5MB, alloc=4.3MB, time=23.41
Real estimate of pole used for equation 1
Radius of convergence = 0.12
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 0.72167056307210723408942072472122
y[1] (numeric) = 0.72167056307210723408942072472122
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.119
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 0.72580365488807415740328346513702
y[1] (numeric) = 0.72580365488807415740328346513702
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.118
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 0.72997321330987567864420551332005
y[1] (numeric) = 0.72997321330987567864420551332005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.117
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 0.73417985165898068646399084752802
y[1] (numeric) = 0.73417985165898068646399084752801
absolute error = 1e-32
relative error = 1.3620640742733023891273188535351e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.116
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 0.7384241991653336418672701966962
y[1] (numeric) = 0.73842419916533364186727019669618
absolute error = 2e-32
relative error = 2.7084702834233615685614037304320e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.115
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 0.7427069015221438806230931552423
y[1] (numeric) = 0.7427069015221438806230931552423
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.114
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 0.74702862146507414099470974129515
y[1] (numeric) = 0.74702862146507414099470974129515
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.113
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 0.75139003937712742064862131868572
y[1] (numeric) = 0.75139003937712742064862131868573
absolute error = 1e-32
relative error = 1.3308667237976169993213385804722e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.112
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 0.75579185392061268690065719253452
y[1] (numeric) = 0.75579185392061268690065719253453
absolute error = 1e-32
relative error = 1.3231156102206925786940515769865e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.111
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 0.76023478269765726942643258759605
y[1] (numeric) = 0.76023478269765726942643258759607
absolute error = 2e-32
relative error = 2.6307662389546217963382694689718e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.11
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 0.76471956294082743705239387604262
y[1] (numeric) = 0.76471956294082743705239387604264
absolute error = 2e-32
relative error = 2.6153378269920842108716192442328e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.109
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 0.76924695223551922752372009101778
y[1] (numeric) = 0.76924695223551922752372009101779
absolute error = 1e-32
relative error = 1.2999726512973319462232851819022e-30 %
Correct digits = 31
h = 0.001
memory used=240.3MB, alloc=4.3MB, time=23.79
Real estimate of pole used for equation 1
Radius of convergence = 0.108
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 0.77381772927588963745226453451432
y[1] (numeric) = 0.77381772927588963745226453451433
absolute error = 1e-32
relative error = 1.2922939888386422326821180954549e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.107
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 0.77843269465621441922928602455618
y[1] (numeric) = 0.77843269465621441922928602455621
absolute error = 3e-32
relative error = 3.8538977365601459887219534620339e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.106
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 0.7830926716996836624256117833194
y[1] (numeric) = 0.78309267169968366242561178331941
absolute error = 1e-32
relative error = 1.2769880706832873804670066608187e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.105
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 0.78779850732678081487777783166182
y[1] (numeric) = 0.78779850732678081487777783166184
absolute error = 2e-32
relative error = 2.5387202202077731758049806793974e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.104
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 0.79255107296553565194564879370368
y[1] (numeric) = 0.79255107296553565194564879370371
absolute error = 3e-32
relative error = 3.7852450174279885199923726481629e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.103
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 0.797351265506097840697799643498
y[1] (numeric) = 0.79735126550609784069779964349801
absolute error = 1e-32
relative error = 1.2541523958895032047567522886612e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.102
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 0.80220000830224616783791018820048
y[1] (numeric) = 0.8022000083022461678379101882005
absolute error = 2e-32
relative error = 2.4931438285979882861550936832792e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1011
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 0.80709825222263030403085454673305
y[1] (numeric) = 0.80709825222263030403085454673307
absolute error = 2e-32
relative error = 2.4780130479681911165115707127158e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.1001
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 0.81204697675473837106972510604542
y[1] (numeric) = 0.81204697675473837106972510604546
absolute error = 4e-32
relative error = 4.9258234000027752962222353236421e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 0.09905
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.75897117652123452364096895937653
y[1] (analytic) = 0.82195355302648678322185291471928
y[1] (numeric) = 0.82195355302648678322185291471924
absolute error = 4e-32
relative error = 4.8664550268950577316182417061992e-30 %
Correct digits = 31
h = 0.00098064263624126418078998723846338
Real estimate of pole used for equation 1
Radius of convergence = 0.09709
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.3MB, time=24.16
x[1] = 0.75994202668051076125767765826444
y[1] (analytic) = 0.82690876797785617166546281649765
y[1] (numeric) = 0.82690876797785617166546281649767
absolute error = 2e-32
relative error = 2.4186465030366664257757303258386e-30 %
Correct digits = 31
h = 0.00097085015927623761670869888791037
Real estimate of pole used for equation 1
Radius of convergence = 0.09612
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76090318214829607542051822761294
y[1] (analytic) = 0.83186523332558415963863811906698
y[1] (numeric) = 0.83186523332558415963863811906697
absolute error = 1e-32
relative error = 1.2021177949729382282491462553023e-30 %
Correct digits = 31
h = 0.00096115546778531416284056934849794
Real estimate of pole used for equation 1
Radius of convergence = 0.09516
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76185473973360080223567296368002
y[1] (analytic) = 0.83682292410098412893536128817762
y[1] (numeric) = 0.83682292410098412893536128817778
absolute error = 1.6e-31
relative error = 1.9119935101191360298472836283106e-29 %
Correct digits = 30
h = 0.00095155758530472681515473606707718
Real estimate of pole used for equation 1
Radius of convergence = 0.09421
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76279679527872225852132217165721
y[1] (analytic) = 0.841781815836329258424626774443
y[1] (numeric) = 0.84178181583632925842462677444307
absolute error = 7e-32
relative error = 8.3156940056317821488978797805559e-30 %
Correct digits = 31
h = 0.0009420555451214562856492079771854
Real estimate of pole used for equation 1
Radius of convergence = 0.09326
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76372944366889812074847172466995
y[1] (analytic) = 0.84674188455470777545605154900012
y[1] (numeric) = 0.84674188455470777545605154900013
absolute error = 1e-32
relative error = 1.1809974423621302001496554048580e-30 %
Correct digits = 31
h = 0.00093264839017586222714955301273676
Real estimate of pole used for equation 1
Radius of convergence = 0.09233
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76465277884186340750928473449328
y[1] (analytic) = 0.85170310676008735274662153474812
y[1] (numeric) = 0.85170310676008735274662153474802
absolute error = 1.0e-31
relative error = 1.1741180606984515463675165523783e-29 %
Correct digits = 30
h = 0.0009233351729652867608130098233308
Real estimate of pole used for equation 1
Radius of convergence = 0.09141
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.7655668937973120281064264678885
y[1] (analytic) = 0.85666545942758419258656946822725
y[1] (numeric) = 0.85666545942758419258656946822723
absolute error = 2e-32
relative error = 2.3346336402268175959667969858510e-30 %
Correct digits = 31
h = 0.0009141149554486205971417333952179
Real estimate of pole used for equation 1
Radius of convergence = 0.0905
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76647188060626385024468920417356
y[1] (analytic) = 0.86162891999393244097198284333775
y[1] (numeric) = 0.86162891999393244097198284333779
absolute error = 4e-32
relative error = 4.6423697106501112477158362765022e-30 %
Correct digits = 31
h = 0.00090498680895182213826273628505803
Real estimate of pole used for equation 1
Radius of convergence = 0.08959
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76736783042033823028990698397395
y[1] (analytic) = 0.86659346634814967254237370240722
y[1] (numeric) = 0.86659346634814967254237370240721
absolute error = 1e-32
relative error = 1.1539436181235353408698897841273e-30 %
Correct digits = 31
h = 0.00089594981407438004521777980039461
Real estimate of pole used for equation 1
Radius of convergence = 0.0887
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76825483348093494013894065450805
y[1] (analytic) = 0.8715590768223942830433312394088
y[1] (numeric) = 0.87155907682239428304333123940879
absolute error = 1e-32
relative error = 1.1473691532717286140785512453129e-30 %
Correct digits = 31
h = 0.00088700306059670984903367053410231
Real estimate of pole used for equation 1
Radius of convergence = 0.08781
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.76913297912832341541736235296939
y[1] (analytic) = 0.87652573018301071951548305277512
y[1] (numeric) = 0.87652573018301071951548305277509
absolute error = 3e-32
relative error = 3.4226034635328125251071358941937e-30 %
Correct digits = 31
h = 0.00087814564738847527842169846134214
Real estimate of pole used for equation 1
Radius of convergence = 0.08694
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.3MB, time=24.54
x[1] = 0.7700023558106412404874561420094
y[1] (analytic) = 0.88149340562175856959708755271778
y[1] (numeric) = 0.88149340562175856959708755271777
absolute error = 1e-32
relative error = 1.1344384355259619679530331316318e-30 %
Correct digits = 31
h = 0.00086937668231782507009378904000557
Real estimate of pole used for equation 1
Radius of convergence = 0.08607
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.77171515166531883053156156271539
y[1] (analytic) = 0.89143174157639308326255092480175
y[1] (numeric) = 0.89143174157639308326255092480167
absolute error = 8e-32
relative error = 8.9743270593583900172675988515455e-30 %
Correct digits = 31
h = 0.00085210057251605392421370620234327
Real estimate of pole used for equation 1
Radius of convergence = 0.08436
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.7725587433530282518831607878117
y[1] (analytic) = 0.8964023625264332686524029545224
y[1] (numeric) = 0.89640236252643326865240295452238
absolute error = 2e-32
relative error = 2.2311409291282670536457678919563e-30 %
Correct digits = 31
h = 0.00084359168770942135159922509630997
Real estimate of pole used for equation 1
Radius of convergence = 0.08352
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.77339391112374233875696737199737
y[1] (analytic) = 0.90137392640659607152641429433325
y[1] (numeric) = 0.90137392640659607152641429433337
absolute error = 1.2e-31
relative error = 1.3313009893506707090069394548349e-29 %
Correct digits = 30
h = 0.0008351677707140868738065841856724
Real estimate of pole used for equation 1
Radius of convergence = 0.08268
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.77422073909680292223126595871366
y[1] (analytic) = 0.90634641441032071631735653042825
y[1] (numeric) = 0.90634641441032071631735653042829
absolute error = 4e-32
relative error = 4.4133235773900484681401705673878e-30 %
Correct digits = 31
h = 0.00082682797306058347429858671628686
Real estimate of pole used for equation 1
Radius of convergence = 0.08186
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.77503931055155499177101322810597
y[1] (analytic) = 0.9113198081074852828131341237597
y[1] (numeric) = 0.91131980810748528281313412375981
absolute error = 1.1e-31
relative error = 1.2070405912545038203340325393094e-29 %
Correct digits = 30
h = 0.00081857145475206953974726939231353
Real estimate of pole used for equation 1
Radius of convergence = 0.08104
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.77665201287377369598181713414913
y[1] (analytic) = 0.92126924069846728322812813238328
y[1] (numeric) = 0.92126924069846728322812813238318
absolute error = 1.0e-31
relative error = 1.0854590122230091961792919944050e-29 %
Correct digits = 30
h = 0.00080230493803898108381485262686155
Real estimate of pole used for equation 1
Radius of convergence = 0.07943
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.77744630617502031056889175880239
y[1] (analytic) = 0.92624524454671436339361608761472
y[1] (numeric) = 0.92624524454671436339361608761469
absolute error = 3e-32
relative error = 3.2388830254865590744288092947315e-30 %
Correct digits = 31
h = 0.00079429330124661458707462465325981
Real estimate of pole used for equation 1
Radius of convergence = 0.07864
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.77823266784187894331471280754517
y[1] (analytic) = 0.93122208398284682815662750236025
y[1] (numeric) = 0.93122208398284682815662750236042
absolute error = 1.7e-31
relative error = 1.8255580803336211595493259571326e-29 %
Correct digits = 30
h = 0.00078636166685863274582104874278309
Real estimate of pole used for equation 1
Radius of convergence = 0.07785
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.3MB, time=24.90
x[1] = 0.77901117707786794931533376558784
y[1] (analytic) = 0.93619974234816846507276342229128
y[1] (numeric) = 0.93619974234816846507276342229125
absolute error = 3e-32
relative error = 3.2044443768756278079514412329230e-30 %
Correct digits = 31
h = 0.00077850923598900600062095804266992
Real estimate of pole used for equation 1
Radius of convergence = 0.07707
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78054495112466567022667452569559
y[1] (analytic) = 0.9461574508907503066329157729884
y[1] (numeric) = 0.94615745089075030663291577298837
absolute error = 3e-32
relative error = 3.1707196272414073575045168186619e-30 %
Correct digits = 31
h = 0.00076303882906851977860651490356934
Real estimate of pole used for equation 1
Radius of convergence = 0.07554
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78130037041948090265272653457551
y[1] (analytic) = 0.9511374693897952363245891283733
y[1] (numeric) = 0.95113746938979523632458912837342
absolute error = 1.2e-31
relative error = 1.2616472787786009309346433368647e-29 %
Correct digits = 30
h = 0.00075541929481523242605200887992074
Real estimate of pole used for equation 1
Radius of convergence = 0.07479
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78204824626699940260135196436249
y[1] (analytic) = 0.95611824344859547820791633992778
y[1] (numeric) = 0.95611824344859547820791633992774
absolute error = 4e-32
relative error = 4.1835829693747027450357524474158e-30 %
Correct digits = 31
h = 0.00074787584751849994862542978697773
Real estimate of pole used for equation 1
Radius of convergence = 0.07404
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.7835216681766232515960807695021
y[1] (analytic) = 0.96608199831230774686880896373655
y[1] (numeric) = 0.9660819983123077468688089637366
absolute error = 5e-32
relative error = 5.1755441139931452060228480137823e-30 %
Correct digits = 31
h = 0.00073301418223277418072549557611004
Real estimate of pole used for equation 1
Radius of convergence = 0.07257
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78424736264397796877147384263306
y[1] (analytic) = 0.9710649498970535371613573292815
y[1] (numeric) = 0.97106494989705353716135732928161
absolute error = 1.1e-31
relative error = 1.1327769580362419434610925554168e-29 %
Correct digits = 30
h = 0.00072569446735471717539307313095699
Real estimate of pole used for equation 1
Radius of convergence = 0.07184
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78567708407627331984124629675732
y[1] (analytic) = 0.98103293049847411985650704999098
y[1] (numeric) = 0.98103293049847411985650704999116
absolute error = 1.8e-31
relative error = 1.8348007941847571712059992015822e-29 %
Correct digits = 30
h = 0.00071127358679103235038401737080088
Real estimate of pole used for equation 1
Radius of convergence = 0.07042
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78638125504488615440059234001441
y[1] (analytic) = 0.98601793201184436500198540383228
y[1] (numeric) = 0.98601793201184436500198540383235
absolute error = 7e-32
relative error = 7.0992623691106600942176310377073e-30 %
Correct digits = 31
h = 0.00070417096861283455934604325708557
Real estimate of pole used for equation 1
Radius of convergence = 0.06971
Order of pole = 625
memory used=255.6MB, alloc=4.3MB, time=25.26
TOP MAIN SOLVE Loop
x[1] = 0.78707839432046959763901859774708
y[1] (analytic) = 0.99100358978839789229688073930412
y[1] (numeric) = 0.99100358978839789229688073930397
absolute error = 1.5e-31
relative error = 1.5136171205194973844216365874930e-29 %
Correct digits = 30
h = 0.00069713927558344323842625773266664
Real estimate of pole used for equation 1
Radius of convergence = 0.06902
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78845185795900291002100736787167
y[1] (analytic) = 1.0009768220942649877413579383966
y[1] (numeric) = 1.0009768220942649877413579383967
absolute error = 1e-31
relative error = 9.9902413115598295294320061857170e-30 %
Correct digits = 31
h = 0.0006832858390730494729135114378382
Real estimate of pole used for equation 1
Radius of convergence = 0.06765
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.78912832065925619732137485818534
y[1] (analytic) = 1.0059643712527644931878109600747
y[1] (numeric) = 1.0059643712527644931878109600746
absolute error = 1e-31
relative error = 9.9407099155476367226822534387552e-30 %
Correct digits = 31
h = 0.00067646270025328730036749031366678
Real estimate of pole used for equation 1
Radius of convergence = 0.06697
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.79046104850025235749830497542457
y[1] (analytic) = 1.0159412740423129869592009441257
y[1] (numeric) = 1.0159412740423129869592009441257
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.00066302014523188863310399219156628
Real estimate of pole used for equation 1
Radius of convergence = 0.06564
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.79111744787532844547962462903123
y[1] (analytic) = 1.0209306037921784480109466007572
y[1] (numeric) = 1.0209306037921784480109466007569
absolute error = 3e-31
relative error = 2.9384955146380181373864908748394e-29 %
Correct digits = 30
h = 0.00065639937507608798131965360666443
Real estimate of pole used for equation 1
Radius of convergence = 0.06498
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.7924106481089094430610262018364
y[1] (analytic) = 1.0309109620762034696651016473296
y[1] (numeric) = 1.0309109620762034696651016473294
absolute error = 2e-31
relative error = 1.9400317520846798884176392107903e-29 %
Correct digits = 30
h = 0.00064335551513795958248428615200783
Real estimate of pole used for equation 1
Radius of convergence = 0.06369
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.79304757922046807337427999056481
y[1] (analytic) = 1.0359019681309616542998967746125
y[1] (numeric) = 1.0359019681309616542998967746124
absolute error = 1e-31
relative error = 9.6534231111102317547794713892068e-30 %
Correct digits = 31
h = 0.00063693111155863031325378872840955
Real estimate of pole used for equation 1
Radius of convergence = 0.06306
Order of pole = 625
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.3MB, time=25.63
x[1] = 0.79430242420283440565181802384944
y[1] (analytic) = 1.045885579539779961705465765215
y[1] (numeric) = 1.0458855795397799617054657652149
absolute error = 1e-31
relative error = 9.5612753398897520922591241190200e-30 %
Correct digits = 31
h = 0.00062427412173677960980208466557109
Real estimate of pole used for equation 1
Radius of convergence = 0.0618
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.79553233311302341097307237207818
y[1] (analytic) = 1.055871253164658468065747196357
y[1] (numeric) = 1.0558712531646584680657471963568
absolute error = 2e-31
relative error = 1.8941703299579355203958142462578e-29 %
Correct digits = 30
h = 0.00061186864952561432149609092356097
Real estimate of pole used for equation 1
Radius of convergence = 0.06058
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.79613809177973299426677770545084
y[1] (analytic) = 1.0608648377732222537769783115036
y[1] (numeric) = 1.0608648377732222537769783115035
absolute error = 1e-31
relative error = 9.4262715135230720212851788204466e-30 %
Correct digits = 31
h = 0.0006057586667095832937053333726572
Real estimate of pole used for equation 1
Radius of convergence = 0.05997
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.79733152260710351246162621082064
y[1] (analytic) = 1.0708534532832918209210856174306
y[1] (numeric) = 1.0708534532832918209210856174305
absolute error = 1e-31
relative error = 9.3383459420516272768512647612147e-30 %
Correct digits = 31
h = 0.00059372113056179019946722809994969
Real estimate of pole used for equation 1
Radius of convergence = 0.05878
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.79850123777423858138509259098119
y[1] (analytic) = 1.0808439337277852823049875875067
y[1] (numeric) = 1.0808439337277852823049875875066
absolute error = 1e-31
relative error = 9.2520295372435689763390710375241e-30 %
Correct digits = 31
h = 0.00058192280234361125202228142227974
Real estimate of pole used for equation 1
Radius of convergence = 0.05761
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.7990773496262657599899040666914
y[1] (analytic) = 1.08583985021271833766094224133
y[1] (numeric) = 1.0858398502127183376609422413301
absolute error = 1e-31
relative error = 9.2094612276764190565448227184833e-30 %
Correct digits = 31
h = 0.00057611185202717860481147571021395
Real estimate of pole used for equation 1
Radius of convergence = 0.05704
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.8002123720073031686940083686892
y[1] (analytic) = 1.0958329911327281592218895868224
y[1] (numeric) = 1.0958329911327281592218895868223
absolute error = 1e-31
relative error = 9.1254781348235500286605879727148e-30 %
Correct digits = 31
h = 0.00056466345248282013315595083876858
Real estimate of pole used for equation 1
Radius of convergence = 0.0559
Order of pole = 625
memory used=263.2MB, alloc=4.3MB, time=26.00
TOP MAIN SOLVE Loop
x[1] = 0.80132483941110103203879575777851
y[1] (analytic) = 1.1058278186100112105813900212249
y[1] (numeric) = 1.105827818610011210581390021225
absolute error = 1e-31
relative error = 9.0429991285349173177663361191224e-30 %
Correct digits = 31
h = 0.00055344255364282329318869966574124
Real estimate of pole used for equation 1
Radius of convergence = 0.05479
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.80241520004644075875164832487075
y[1] (analytic) = 1.1158242661737969603442114170516
y[1] (numeric) = 1.1158242661737969603442114170516
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.00054244463465077627815346155403164
Real estimate of pole used for equation 1
Radius of convergence = 0.0537
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.80348389321537290173463203016593
y[1] (analytic) = 1.1258222699771117567765386721284
y[1] (numeric) = 1.1258222699771117567765386721282
absolute error = 2e-31
relative error = 1.7764793372231484558853297498865e-29 %
Correct digits = 30
h = 0.00053166526448797900848975625909168
Real estimate of pole used for equation 1
Radius of convergence = 0.05264
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.80401024939002203918886915756451
y[1] (analytic) = 1.130821836208207574040146281252
y[1] (numeric) = 1.1308218362082075740401462812521
absolute error = 1e-31
relative error = 8.8431260166776565368129688010840e-30 %
Correct digits = 31
h = 0.00052635617464913745423712739857624
Real estimate of pole used for equation 1
Radius of convergence = 0.05211
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.80504724600191576918314451544461
y[1] (analytic) = 1.1408220601426717282802134985752
y[1] (numeric) = 1.1408220601426717282802134985753
absolute error = 1e-31
relative error = 8.7656088967541488716230382617381e-30 %
Correct digits = 31
h = 0.00051589651170552702784583309081683
Real estimate of pole used for equation 1
Radius of convergence = 0.05107
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.8060636355884595930152101863138
y[1] (analytic) = 1.1508236915067597470791562101376
y[1] (numeric) = 1.1508236915067597470791562101375
absolute error = 1e-31
relative error = 8.6894283405889212719211445305005e-30 %
Correct digits = 31
h = 0.0005056447014558968038435614601599
Real estimate of pole used for equation 1
Radius of convergence = 0.05006
Order of pole = 625
memory used=267.0MB, alloc=4.3MB, time=26.37
TOP MAIN SOLVE Loop
x[1] = 0.80705982764905678857416594965343
y[1] (analytic) = 1.1608266748454612898764610684516
y[1] (numeric) = 1.1608266748454612898764610684514
absolute error = 2e-31
relative error = 1.7229100978974800903742987798461e-29 %
Correct digits = 30
h = 0.00049559661348585123813209064397937
Real estimate of pole used for equation 1
Radius of convergence = 0.04906
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.80803622354560614498451386308492
y[1] (analytic) = 1.1708309568915986800389462457292
y[1] (numeric) = 1.1708309568915986800389462457295
absolute error = 3e-31
relative error = 2.5622827807394187609831299283941e-29 %
Correct digits = 30
h = 0.00048574819945990727135051308099322
Real estimate of pole used for equation 1
Radius of convergence = 0.04809
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.80946455797312448930105290814927
y[1] (analytic) = 1.1858397036659465828445834155459
y[1] (numeric) = 1.1858397036659465828445834155462
absolute error = 3e-31
relative error = 2.5298528888227426077241038056640e-29 %
Correct digits = 30
h = 0.00047134130891538188685368257386279
Real estimate of pole used for equation 1
Radius of convergence = 0.04666
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.81039316746595816083237279856475
y[1] (analytic) = 1.1958470130228796587416558993161
y[1] (numeric) = 1.1958470130228796587416558993162
absolute error = 1e-31
relative error = 8.3622736780701178470405428011079e-30 %
Correct digits = 31
h = 0.00046197489229465661579723608011996
Real estimate of pole used for equation 1
Radius of convergence = 0.04574
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.81130332378436531071477860805484
y[1] (analytic) = 1.2058554506626550518819825857016
y[1] (numeric) = 1.2058554506626550518819825857015
absolute error = 1e-31
relative error = 8.2928679341331410567133678160552e-30 %
Correct digits = 31
h = 0.00045279460355759780351169801491762
Real estimate of pole used for equation 1
Radius of convergence = 0.04483
Order of pole = 625
memory used=270.8MB, alloc=4.3MB, time=26.73
TOP MAIN SOLVE Loop
x[1] = 0.81219539362677950387950370692025
y[1] (analytic) = 1.215864972140924939005688025027
y[1] (numeric) = 1.215864972140924939005688025027
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.00044379674400165131652016062298657
Real estimate of pole used for equation 1
Radius of convergence = 0.04394
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.8130697364046636155041634051676
y[1] (analytic) = 1.2258755347658637647972288889984
y[1] (numeric) = 1.2258755347658637647972288889983
absolute error = 1e-31
relative error = 8.1574350057568863393290680622435e-30 %
Correct digits = 31
h = 0.00043497768842426911644959669629751
Real estimate of pole used for equation 1
Radius of convergence = 0.04306
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.81434878099663438113478376130603
y[1] (analytic) = 1.2408932415909290258134335999171
y[1] (numeric) = 1.2408932415909290258134335999169
absolute error = 2e-31
relative error = 1.6117421974478904856890225652995e-29 %
Correct digits = 30
h = 0.00042207660931907245170785857150905
Real estimate of pole used for equation 1
Radius of convergence = 0.04179
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.81518033201646469239400739168087
y[1] (analytic) = 1.2509062311893147802886100108625
y[1] (numeric) = 1.2509062311893147802886100108627
absolute error = 2e-31
relative error = 1.5988408644335194721988054092948e-29 %
Correct digits = 30
h = 0.00041368917266973082545458996431829
Real estimate of pole used for equation 1
Radius of convergence = 0.04096
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.8163967780851742648572533854637
y[1] (analytic) = 1.2659274004323996420029158874548
y[1] (numeric) = 1.2659274004323996420029158874549
absolute error = 1e-31
relative error = 7.8993471478572350367088799055678e-30 %
Correct digits = 31
h = 0.00040141949336523759476981902786114
Real estimate of pole used for equation 1
Radius of convergence = 0.03974
Order of pole = 625
memory used=274.6MB, alloc=4.3MB, time=27.09
TOP MAIN SOLVE Loop
x[1] = 0.81718763164520959626738275593084
y[1] (analytic) = 1.2759425850552184879630559463717
y[1] (numeric) = 1.2759425850552184879630559463716
absolute error = 1e-31
relative error = 7.8373432450075594556342927040379e-30 %
Correct digits = 31
h = 0.00039344255151137968721628562075144
Real estimate of pole used for equation 1
Radius of convergence = 0.03895
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.81834454286423048514986601114744
y[1] (analytic) = 1.2909668858225878103126295684665
y[1] (numeric) = 1.2909668858225878103126295684664
absolute error = 1e-31
relative error = 7.7461320734250485281261573217702e-30 %
Correct digits = 31
h = 0.00038177337027409321353165035591906
Real estimate of pole used for equation 1
Radius of convergence = 0.0378
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.81909669076436557075533376342921
y[1] (analytic) = 1.3009840557059773719017776970378
y[1] (numeric) = 1.300984055705977371901777697038
absolute error = 2e-31
relative error = 1.5372978563635835640846503185744e-29 %
Correct digits = 30
h = 0.00037418683293257722032727146425859
Real estimate of pole used for equation 1
Radius of convergence = 0.03705
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.82019698086610123074369025509378
y[1] (analytic) = 1.3160111887502209940359897443626
y[1] (numeric) = 1.3160111887502209940359897443624
absolute error = 2e-31
relative error = 1.5197439179064609952450231281947e-29 %
Correct digits = 30
h = 0.00036308876041011345252034803041494
Real estimate of pole used for equation 1
Radius of convergence = 0.03595
Order of pole = 625
memory used=278.4MB, alloc=4.3MB, time=27.45
TOP MAIN SOLVE Loop
x[1] = 0.82126463727185910723199079360467
y[1] (analytic) = 1.3310398895429987355332043148828
y[1] (numeric) = 1.3310398895429987355332043148832
absolute error = 4e-31
relative error = 3.0051691398770671680323663988355e-29 %
Correct digits = 30
h = 0.00035231984755569192755142682528554
Real estimate of pole used for equation 1
Radius of convergence = 0.03488
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.82230062787011832993128463845498
y[1] (analytic) = 1.3460700664074368153259720313144
y[1] (numeric) = 1.3460700664074368153259720313142
absolute error = 2e-31
relative error = 1.4858067569527451528346838393461e-29 %
Correct digits = 30
h = 0.00034187033176532475701629249549274
Real estimate of pole used for equation 1
Radius of convergence = 0.03385
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.82322699098227686611836893495314
y[1] (analytic) = 1.3599052851911857876588983781245
y[1] (numeric) = 1.3599052851911857876588983781243
absolute error = 2e-31
relative error = 1.4706906589592560102186016203627e-29 %
Correct digits = 30
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.03292
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.82423831050098807589138512931526
y[1] (analytic) = 1.3754617048665895344557532222
y[1] (numeric) = 1.3754617048665895344557532222001
absolute error = 1e-31
relative error = 7.2702860171377379366488239130497e-30 %
Correct digits = 31
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.03191
Order of pole = 625
memory used=282.3MB, alloc=4.3MB, time=27.81
TOP MAIN SOLVE Loop
x[1] = 0.82524963001969928566440132367738
y[1] (analytic) = 1.3915198264632695666538592959031
y[1] (numeric) = 1.3915198264632695666538592959026
absolute error = 5e-31
relative error = 3.5931935031843253111338242773068e-29 %
Correct digits = 30
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.0309
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.82600811965873269299416346944897
y[1] (analytic) = 1.403912567272645751002502028611
y[1] (numeric) = 1.4039125672726457510025020286111
absolute error = 1e-31
relative error = 7.1229506972979163863994488266843e-30 %
Correct digits = 31
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.03014
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.82701943917744390276717966381109
y[1] (analytic) = 1.4209308459089919506144172751083
y[1] (numeric) = 1.4209308459089919506144172751079
absolute error = 4e-31
relative error = 2.8150560680109218782211743894079e-29 %
Correct digits = 30
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.02913
Order of pole = 625
memory used=286.1MB, alloc=4.3MB, time=28.18
TOP MAIN SOLVE Loop
x[1] = 0.82803075869615511254019585817321
y[1] (analytic) = 1.4385509592553712016075800863016
y[1] (numeric) = 1.4385509592553712016075800863015
absolute error = 1e-31
relative error = 6.9514395271588029541934552657260e-30 %
Correct digits = 31
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.02812
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.82904207821486632231321205253533
y[1] (analytic) = 1.456816883840060999213722093911
y[1] (numeric) = 1.4568168838400609992137220939103
absolute error = 7e-31
relative error = 4.8049964807852311628743943488204e-29 %
Correct digits = 30
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.02711
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.83005339773357753208622824689745
y[1] (analytic) = 1.475777605575566054391214655253
y[1] (numeric) = 1.4757776055755660543912146552526
absolute error = 4e-31
relative error = 2.7104354916945398005029774572367e-29 %
Correct digits = 30
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.0261
Order of pole = 625
memory used=289.9MB, alloc=4.3MB, time=28.55
TOP MAIN SOLVE Loop
x[1] = 0.83106471725228874185924444125957
y[1] (analytic) = 1.4954879107171470358556928924598
y[1] (numeric) = 1.4954879107171470358556928924597
absolute error = 1e-31
relative error = 6.6867809016286831078296930847845e-30 %
Correct digits = 31
h = 0.00025282987967780244325404859052896
Real estimate of pole used for equation 1
Radius of convergence = 0.02509
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.8320535431532048657659702955592
y[1] (analytic) = 1.5155436030751051520138900095317
y[1] (numeric) = 1.5155436030751051520138900095311
absolute error = 6e-31
relative error = 3.9589755041199303210966776780467e-29 %
Correct digits = 30
h = 0.00024349758357246363807682108414248
Real estimate of pole used for equation 1
Radius of convergence = 0.02411
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.8330034599615217471938546388146
y[1] (analytic) = 1.5356005487310130039175549012964
y[1] (numeric) = 1.535600548731013003917554901296
absolute error = 4e-31
relative error = 2.6048440809073122990830576455610e-29 %
Correct digits = 30
h = 0.00023391625078361265439374385541026
Real estimate of pole used for equation 1
Radius of convergence = 0.02316
Order of pole = 625
memory used=293.7MB, alloc=4.3MB, time=28.92
TOP MAIN SOLVE Loop
x[1] = 0.83413846671145717094089926302083
y[1] (analytic) = 1.5606733466254385198685485001258
y[1] (numeric) = 1.560673346625438519868548500125
absolute error = 8e-31
relative error = 5.1259925834563505038202293164099e-29 %
Correct digits = 30
h = 0.0002224680089023133717933052480828
Real estimate of pole used for equation 1
Radius of convergence = 0.02202
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.83500634432185738878624041764916
y[1] (analytic) = 1.5807327698920339803969045663778
y[1] (numeric) = 1.5807327698920339803969045663779
absolute error = 1e-31
relative error = 6.3261799783419511645566612408116e-30 %
Correct digits = 31
h = 0.00021371416421567075379523791067243
Real estimate of pole used for equation 1
Radius of convergence = 0.02116
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.83604332665262321383959103278078
y[1] (analytic) = 1.6058083976882214008261261420201
y[1] (numeric) = 1.6058083976882214008261261420194
absolute error = 7e-31
relative error = 4.3591751108522335113700941389208e-29 %
Correct digits = 30
h = 0.00020325464531861036143551303607218
memory used=297.5MB, alloc=4.3MB, time=29.28
Real estimate of pole used for equation 1
Radius of convergence = 0.02012
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.83702955738101224349674907225475
y[1] (analytic) = 1.6308853902444191849828096026682
y[1] (numeric) = 1.6308853902444191849828096026684
absolute error = 2e-31
relative error = 1.2263277431777483594298962338594e-29 %
Correct digits = 30
h = 0.00019330703229339269973079531845455
Real estimate of pole used for equation 1
Radius of convergence = 0.01914
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.83809558735429855347627448912729
y[1] (analytic) = 1.6594875841991333669194059714224
y[1] (numeric) = 1.6594875841991333669194059714226
absolute error = 2e-31
relative error = 1.2051913006418770521643173580550e-29 %
Correct digits = 30
h = 0.00012806698128389039177283109579946
Real estimate of pole used for equation 1
Radius of convergence = 0.01807
Order of pole = 625
memory used=301.3MB, alloc=4.3MB, time=29.65
TOP MAIN SOLVE Loop
x[1] = 0.83912012320456967661045713789369
y[1] (analytic) = 1.6886120648357811827076254917476
y[1] (numeric) = 1.6886120648357811827076254917476
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.00012806698128389039177283109579946
Real estimate of pole used for equation 1
Radius of convergence = 0.01705
Order of pole = 625
memory used=305.1MB, alloc=4.3MB, time=30.01
TOP MAIN SOLVE Loop
x[1] = 0.84006752820124591761254068040149
y[1] (analytic) = 1.7171444806118616586011663277536
y[1] (numeric) = 1.7171444806118616586011663277532
absolute error = 4e-31
relative error = 2.3294487127691780757893469761522e-29 %
Correct digits = 30
h = 0.00011264081056491396535300984407751
Real estimate of pole used for equation 1
Radius of convergence = 0.0161
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.84108129549633014330071776899821
y[1] (analytic) = 1.749596096153011554245863436994
y[1] (numeric) = 1.7495960961530115542458634369935
absolute error = 5e-31
relative error = 2.8578024442292326687272498611831e-29 %
Correct digits = 30
h = 0.00011264081056491396535300984407751
Real estimate of pole used for equation 1
Radius of convergence = 0.01509
Order of pole = 625
memory used=309.0MB, alloc=4.3MB, time=30.38
TOP MAIN SOLVE Loop
x[1] = 0.84209506279141436898889485759493
y[1] (analytic) = 1.7843032222370429528083396817706
y[1] (numeric) = 1.7843032222370429528083396817682
absolute error = 2.4e-30
relative error = 1.3450628626848729230823186790073e-28 %
Correct digits = 29
h = 0.00011264081056491396535300984407751
Real estimate of pole used for equation 1
Radius of convergence = 0.01408
Order of pole = 625
memory used=312.8MB, alloc=4.3MB, time=30.75
TOP MAIN SOLVE Loop
x[1] = 0.84310883008649859467707194619165
y[1] (analytic) = 1.8216026375644824055312009821946
y[1] (numeric) = 1.8216026375644824055312009821921
absolute error = 2.5e-30
relative error = 1.3724178635042754733424966687453e-28 %
Correct digits = 29
h = 0.00011264081056491396535300984407751
Real estimate of pole used for equation 1
Radius of convergence = 0.01307
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = 0.84400995657101790639989602494429
y[1] (analytic) = 1.8572698320479061349637559899258
y[1] (numeric) = 1.8572698320479061349637559899221
absolute error = 3.7e-30
relative error = 1.9921714853464344452626889344106e-28 %
Correct digits = 29
h = 0.00011264081056491396535300984407751
Real estimate of pole used for equation 1
Radius of convergence = 0.01217
Order of pole = 625
memory used=316.6MB, alloc=4.3MB, time=31.11
memory used=320.4MB, alloc=4.3MB, time=31.48
TOP MAIN SOLVE Loop
x[1] = 0.84500637879912377712318767106524
y[1] (analytic) = 1.89991990862911079126653213356
y[1] (numeric) = 1.8999199086291107912665321335584
absolute error = 1.6e-30
relative error = 8.4214076221480392989557758433811e-29 %
Correct digits = 30
h = 2.8881211685420059768439793373884e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.01117
Order of pole = 625
memory used=324.2MB, alloc=4.3MB, time=31.85
memory used=328.0MB, alloc=4.3MB, time=32.21
TOP MAIN SOLVE Loop
memory used=331.9MB, alloc=4.3MB, time=32.58
x[1] = 0.84601722120811347921508306383319
y[1] (analytic) = 1.9472602240582356987872301703011
y[1] (numeric) = 1.9472602240582356987872301703059
absolute error = 4.8e-30
relative error = 2.4650018218912938142521032774734e-28 %
Correct digits = 29
h = 2.8881211685420059768439793373884e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.01016
Order of pole = 625
memory used=335.7MB, alloc=4.3MB, time=32.95
memory used=339.5MB, alloc=4.3MB, time=33.32
memory used=343.3MB, alloc=4.3MB, time=33.68
memory used=347.1MB, alloc=4.3MB, time=34.05
TOP MAIN SOLVE Loop
x[1] = 0.84700738829135530649119274636435
y[1] (analytic) = 1.9984319172603487751722461639725
y[1] (numeric) = 1.9984319172603487751722461639771
absolute error = 4.6e-30
relative error = 2.3018047101179919571085761722126e-28 %
Correct digits = 29
h = 1.2573040387502531424158234218307e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.009174
Order of pole = 625
memory used=350.9MB, alloc=4.3MB, time=34.42
memory used=354.7MB, alloc=4.3MB, time=34.79
memory used=358.6MB, alloc=4.3MB, time=35.16
memory used=362.4MB, alloc=4.3MB, time=35.52
memory used=366.2MB, alloc=4.3MB, time=35.89
memory used=370.0MB, alloc=4.3MB, time=36.25
TOP MAIN SOLVE Loop
x[1] = 0.84800065848196800647370124686773
y[1] (analytic) = 2.055635608656927798145112637138
y[1] (numeric) = 2.0556356086569277981451126371338
absolute error = 4.2e-30
relative error = 2.0431636727406742738309227398833e-28 %
Correct digits = 29
h = 1.2573040387502531424158234218307e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.008182
Order of pole = 625
memory used=373.8MB, alloc=4.3MB, time=36.62
memory used=377.6MB, alloc=4.3MB, time=36.99
memory used=381.4MB, alloc=4.3MB, time=37.36
memory used=385.3MB, alloc=4.3MB, time=37.72
memory used=389.1MB, alloc=4.3MB, time=38.09
memory used=392.9MB, alloc=4.3MB, time=38.45
TOP MAIN SOLVE Loop
x[1] = 0.84900650171296820898763390560533
y[1] (analytic) = 2.1211155886414357443040725987042
y[1] (numeric) = 2.1211155886414357443040725986914
absolute error = 1.28e-29
relative error = 6.0345603363361908870731285770539e-28 %
Correct digits = 29
h = 1.2573040387502531424158234218307e-05
Real estimate of pole used for equation 1
Radius of convergence = 0.007178
Order of pole = 625
memory used=396.7MB, alloc=4.3MB, time=38.81
memory used=400.5MB, alloc=4.3MB, time=39.17
memory used=404.3MB, alloc=4.3MB, time=39.53
memory used=408.1MB, alloc=4.3MB, time=39.90
memory used=412.0MB, alloc=4.3MB, time=40.26
memory used=415.8MB, alloc=4.3MB, time=40.63
memory used=419.6MB, alloc=4.3MB, time=41.00
TOP MAIN SOLVE Loop
x[1] = 0.85000044693679785154320596810003
y[1] (analytic) = 2.1955228055074902423561115524117
y[1] (numeric) = 2.1955228055074902423561115523891
absolute error = 2.26e-29
relative error = 1.0293675813026255478549703327284e-27 %
Correct digits = 28
h = 8.1553506394705371880895042388662e-06
Real estimate of pole used for equation 1
Radius of convergence = 0.006185
Order of pole = 625
memory used=423.4MB, alloc=4.3MB, time=41.37
memory used=427.2MB, alloc=4.3MB, time=41.74
memory used=431.0MB, alloc=4.3MB, time=42.10
memory used=434.9MB, alloc=4.3MB, time=42.47
memory used=438.7MB, alloc=4.3MB, time=42.83
memory used=442.5MB, alloc=4.3MB, time=43.20
memory used=446.3MB, alloc=4.3MB, time=43.56
memory used=450.1MB, alloc=4.3MB, time=43.93
memory used=453.9MB, alloc=4.3MB, time=44.30
TOP MAIN SOLVE Loop
x[1] = 0.85100355506545272761734097712155
y[1] (analytic) = 2.2838561014094314010541655374377
y[1] (numeric) = 2.2838561014094314010541655374044
absolute error = 3.33e-29
relative error = 1.4580603383658733903924491542818e-27 %
Correct digits = 28
h = 8.1553506394705371880895042388662e-06
Real estimate of pole used for equation 1
Radius of convergence = 0.005184
Order of pole = 625
memory used=457.7MB, alloc=4.3MB, time=44.67
memory used=461.6MB, alloc=4.3MB, time=45.03
memory used=465.4MB, alloc=4.3MB, time=45.40
memory used=469.2MB, alloc=4.3MB, time=45.77
memory used=473.0MB, alloc=4.3MB, time=46.13
memory used=476.8MB, alloc=4.3MB, time=46.50
memory used=480.6MB, alloc=4.3MB, time=46.87
memory used=484.4MB, alloc=4.3MB, time=47.24
memory used=488.3MB, alloc=4.3MB, time=47.61
TOP MAIN SOLVE Loop
x[1] = 0.85200666319410760369147598614307
y[1] (analytic) = 2.391218903572910682236240867444
y[1] (numeric) = 2.3912189035729106822362408673983
absolute error = 4.57e-29
relative error = 1.9111591971657629876513636581654e-27 %
Correct digits = 28
h = 8.1553506394705371880895042388662e-06
Real estimate of pole used for equation 1
Radius of convergence = 0.004182
Order of pole = 625
memory used=492.1MB, alloc=4.3MB, time=47.98
memory used=495.9MB, alloc=4.3MB, time=48.35
memory used=499.7MB, alloc=4.3MB, time=48.72
memory used=503.5MB, alloc=4.3MB, time=49.09
memory used=507.3MB, alloc=4.3MB, time=49.47
memory used=511.2MB, alloc=4.3MB, time=49.84
memory used=515.0MB, alloc=4.3MB, time=50.21
memory used=518.8MB, alloc=4.3MB, time=50.58
memory used=522.6MB, alloc=4.3MB, time=50.95
TOP MAIN SOLVE Loop
x[1] = 0.85300161597212300922842290566035
y[1] (analytic) = 2.526846687061646702153895249053
y[1] (numeric) = 2.5268466870616467021538952489859
absolute error = 6.71e-29
relative error = 2.6554836248505242977190145688773e-27 %
Correct digits = 28
h = 8.1553506394705371880895042388662e-06
Real estimate of pole used for equation 1
Radius of convergence = 0.003188
Order of pole = 625
memory used=526.4MB, alloc=4.3MB, time=51.33
memory used=530.2MB, alloc=4.3MB, time=51.70
memory used=534.0MB, alloc=4.3MB, time=52.07
memory used=537.9MB, alloc=4.3MB, time=52.44
memory used=541.7MB, alloc=4.3MB, time=52.81
memory used=545.5MB, alloc=4.3MB, time=53.18
memory used=549.3MB, alloc=4.3MB, time=53.54
memory used=553.1MB, alloc=4.3MB, time=53.91
memory used=556.9MB, alloc=4.3MB, time=54.28
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.3MB, time=54.64
x[1] = 0.85400472410077788530255791468187
y[1] (analytic) = 2.7154082822604053125016593752555
y[1] (numeric) = 2.7154082822604053125016593751667
absolute error = 8.88e-29
relative error = 3.2702264547149288167740682062904e-27 %
Correct digits = 28
h = 8.1553506394705371880895042388662e-06
Complex estimate of poles used for equation 1
Radius of convergence = 0.000967
Order of pole = 9.134e-27
memory used=564.6MB, alloc=4.3MB, time=55.01
memory used=568.4MB, alloc=4.3MB, time=55.38
memory used=572.2MB, alloc=4.3MB, time=55.75
memory used=576.0MB, alloc=4.3MB, time=56.11
memory used=579.8MB, alloc=4.3MB, time=56.47
memory used=583.6MB, alloc=4.3MB, time=56.84
memory used=587.4MB, alloc=4.3MB, time=57.21
memory used=591.3MB, alloc=4.3MB, time=57.57
memory used=595.1MB, alloc=4.3MB, time=57.93
memory used=598.9MB, alloc=4.3MB, time=58.30
memory used=602.7MB, alloc=4.3MB, time=58.67
memory used=606.5MB, alloc=4.3MB, time=59.03
memory used=610.3MB, alloc=4.3MB, time=59.39
memory used=614.2MB, alloc=4.3MB, time=59.76
memory used=618.0MB, alloc=4.3MB, time=60.12
memory used=621.8MB, alloc=4.3MB, time=60.49
memory used=625.6MB, alloc=4.3MB, time=60.86
memory used=629.4MB, alloc=4.3MB, time=61.22
memory used=633.2MB, alloc=4.3MB, time=61.59
TOP MAIN SOLVE Loop
x[1] = 0.85500101904705858318945869193677
y[1] (analytic) = 3.0188715290255808281085276299035
y[1] (numeric) = 3.0188715290255808281085276300181
absolute error = 1.146e-28
relative error = 3.7961204674711721046021221376297e-27 %
Correct digits = 28
h = 1.2636528359995119482266561528585e-06
Real estimate of pole used for equation 1
Radius of convergence = 0.001192
Order of pole = 625
memory used=637.0MB, alloc=4.3MB, time=61.96
memory used=640.9MB, alloc=4.3MB, time=62.32
memory used=644.7MB, alloc=4.3MB, time=62.70
memory used=648.5MB, alloc=4.3MB, time=63.08
memory used=652.3MB, alloc=4.3MB, time=63.44
memory used=656.1MB, alloc=4.3MB, time=63.82
memory used=659.9MB, alloc=4.3MB, time=64.18
memory used=663.7MB, alloc=4.3MB, time=64.55
memory used=667.6MB, alloc=4.3MB, time=64.92
memory used=671.4MB, alloc=4.3MB, time=65.29
memory used=675.2MB, alloc=4.3MB, time=65.66
memory used=679.0MB, alloc=4.3MB, time=66.03
memory used=682.8MB, alloc=4.3MB, time=66.40
memory used=686.6MB, alloc=4.3MB, time=66.77
memory used=690.5MB, alloc=4.3MB, time=67.14
memory used=694.3MB, alloc=4.3MB, time=67.51
memory used=698.1MB, alloc=4.3MB, time=67.88
memory used=701.9MB, alloc=4.3MB, time=68.25
memory used=705.7MB, alloc=4.3MB, time=68.62
memory used=709.5MB, alloc=4.3MB, time=68.99
memory used=713.3MB, alloc=4.3MB, time=69.36
memory used=717.2MB, alloc=4.3MB, time=69.73
memory used=721.0MB, alloc=4.3MB, time=70.11
memory used=724.8MB, alloc=4.3MB, time=70.48
memory used=728.6MB, alloc=4.3MB, time=70.85
memory used=732.4MB, alloc=4.3MB, time=71.22
memory used=736.2MB, alloc=4.3MB, time=71.59
memory used=740.0MB, alloc=4.3MB, time=71.96
memory used=743.9MB, alloc=4.3MB, time=72.34
memory used=747.7MB, alloc=4.3MB, time=72.71
memory used=751.5MB, alloc=4.3MB, time=73.08
memory used=755.3MB, alloc=4.3MB, time=73.45
memory used=759.1MB, alloc=4.3MB, time=73.82
memory used=762.9MB, alloc=4.3MB, time=74.19
memory used=766.7MB, alloc=4.3MB, time=74.56
memory used=770.6MB, alloc=4.3MB, time=74.93
memory used=774.4MB, alloc=4.3MB, time=75.31
memory used=778.2MB, alloc=4.3MB, time=75.68
memory used=782.0MB, alloc=4.3MB, time=76.05
memory used=785.8MB, alloc=4.3MB, time=76.42
memory used=789.6MB, alloc=4.3MB, time=76.79
memory used=793.5MB, alloc=4.3MB, time=77.16
memory used=797.3MB, alloc=4.3MB, time=77.53
memory used=801.1MB, alloc=4.3MB, time=77.90
memory used=804.9MB, alloc=4.3MB, time=78.27
memory used=808.7MB, alloc=4.3MB, time=78.64
memory used=812.5MB, alloc=4.3MB, time=79.01
memory used=816.3MB, alloc=4.3MB, time=79.38
memory used=820.2MB, alloc=4.3MB, time=79.75
memory used=824.0MB, alloc=4.3MB, time=80.12
memory used=827.8MB, alloc=4.3MB, time=80.49
memory used=831.6MB, alloc=4.3MB, time=80.86
memory used=835.4MB, alloc=4.3MB, time=81.23
memory used=839.2MB, alloc=4.3MB, time=81.60
memory used=843.0MB, alloc=4.3MB, time=81.97
memory used=846.9MB, alloc=4.3MB, time=82.33
memory used=850.7MB, alloc=4.3MB, time=82.70
memory used=854.5MB, alloc=4.3MB, time=83.07
memory used=858.3MB, alloc=4.3MB, time=83.43
memory used=862.1MB, alloc=4.3MB, time=83.80
memory used=865.9MB, alloc=4.3MB, time=84.17
memory used=869.7MB, alloc=4.3MB, time=84.53
memory used=873.6MB, alloc=4.3MB, time=84.89
memory used=877.4MB, alloc=4.3MB, time=85.26
memory used=881.2MB, alloc=4.3MB, time=85.62
memory used=885.0MB, alloc=4.3MB, time=85.99
memory used=888.8MB, alloc=4.3MB, time=86.36
memory used=892.6MB, alloc=4.3MB, time=86.72
memory used=896.5MB, alloc=4.3MB, time=87.09
memory used=900.3MB, alloc=4.3MB, time=87.46
TOP MAIN SOLVE Loop
x[1] = 0.85600010195663708629587362870256
y[1] (analytic) = 3.9262530141532510252264071815912
y[1] (numeric) = 3.9262530141532510252264071818495
absolute error = 2.583e-28
relative error = 6.5787915111147224339757957967645e-27 %
Correct digits = 28
h = 2.8732350009069743864845002739182e-07
Real estimate of pole used for equation 1
Radius of convergence = 0.0001941
Order of pole = 625
memory used=904.1MB, alloc=4.3MB, time=87.83
memory used=907.9MB, alloc=4.3MB, time=88.19
memory used=911.7MB, alloc=4.3MB, time=88.56
memory used=915.5MB, alloc=4.3MB, time=88.93
memory used=919.3MB, alloc=4.3MB, time=89.29
memory used=923.2MB, alloc=4.3MB, time=89.66
memory used=927.0MB, alloc=4.3MB, time=90.03
memory used=930.8MB, alloc=4.3MB, time=90.40
memory used=934.6MB, alloc=4.3MB, time=90.77
memory used=938.4MB, alloc=4.3MB, time=91.14
memory used=942.2MB, alloc=4.3MB, time=91.51
memory used=946.0MB, alloc=4.3MB, time=91.88
memory used=949.9MB, alloc=4.3MB, time=92.24
memory used=953.7MB, alloc=4.3MB, time=92.62
memory used=957.5MB, alloc=4.3MB, time=93.00
memory used=961.3MB, alloc=4.3MB, time=93.37
memory used=965.1MB, alloc=4.3MB, time=93.74
memory used=968.9MB, alloc=4.3MB, time=94.12
memory used=972.8MB, alloc=4.3MB, time=94.49
memory used=976.6MB, alloc=4.3MB, time=94.86
memory used=980.4MB, alloc=4.3MB, time=95.24
memory used=984.2MB, alloc=4.3MB, time=95.61
memory used=988.0MB, alloc=4.3MB, time=95.98
memory used=991.8MB, alloc=4.3MB, time=96.36
memory used=995.6MB, alloc=4.3MB, time=96.73
memory used=999.5MB, alloc=4.3MB, time=97.10
memory used=1003.3MB, alloc=4.3MB, time=97.47
memory used=1007.1MB, alloc=4.3MB, time=97.85
memory used=1010.9MB, alloc=4.3MB, time=98.23
memory used=1014.7MB, alloc=4.3MB, time=98.60
memory used=1018.5MB, alloc=4.3MB, time=98.98
memory used=1022.3MB, alloc=4.3MB, time=99.35
memory used=1026.2MB, alloc=4.3MB, time=99.73
memory used=1030.0MB, alloc=4.3MB, time=100.10
memory used=1033.8MB, alloc=4.3MB, time=100.48
memory used=1037.6MB, alloc=4.3MB, time=100.85
memory used=1041.4MB, alloc=4.3MB, time=101.22
memory used=1045.2MB, alloc=4.3MB, time=101.60
memory used=1049.1MB, alloc=4.3MB, time=101.98
memory used=1052.9MB, alloc=4.3MB, time=102.35
memory used=1056.7MB, alloc=4.3MB, time=102.73
memory used=1060.5MB, alloc=4.3MB, time=103.10
memory used=1064.3MB, alloc=4.3MB, time=103.48
memory used=1068.1MB, alloc=4.3MB, time=103.85
memory used=1071.9MB, alloc=4.3MB, time=104.22
memory used=1075.8MB, alloc=4.3MB, time=104.60
memory used=1079.6MB, alloc=4.3MB, time=104.98
memory used=1083.4MB, alloc=4.3MB, time=105.35
memory used=1087.2MB, alloc=4.3MB, time=105.72
memory used=1091.0MB, alloc=4.3MB, time=106.10
memory used=1094.8MB, alloc=4.3MB, time=106.47
memory used=1098.6MB, alloc=4.3MB, time=106.85
memory used=1102.5MB, alloc=4.3MB, time=107.22
memory used=1106.3MB, alloc=4.3MB, time=107.59
memory used=1110.1MB, alloc=4.3MB, time=107.96
memory used=1113.9MB, alloc=4.3MB, time=108.34
memory used=1117.7MB, alloc=4.3MB, time=108.71
memory used=1121.5MB, alloc=4.3MB, time=109.08
memory used=1125.3MB, alloc=4.3MB, time=109.46
memory used=1129.2MB, alloc=4.3MB, time=109.83
memory used=1133.0MB, alloc=4.3MB, time=110.20
memory used=1136.8MB, alloc=4.3MB, time=110.58
memory used=1140.6MB, alloc=4.3MB, time=110.95
memory used=1144.4MB, alloc=4.3MB, time=111.33
memory used=1148.2MB, alloc=4.3MB, time=111.70
memory used=1152.1MB, alloc=4.3MB, time=112.07
memory used=1155.9MB, alloc=4.3MB, time=112.44
memory used=1159.7MB, alloc=4.3MB, time=112.81
memory used=1163.5MB, alloc=4.3MB, time=113.17
memory used=1167.3MB, alloc=4.3MB, time=113.54
memory used=1171.1MB, alloc=4.3MB, time=113.91
memory used=1174.9MB, alloc=4.3MB, time=114.28
memory used=1178.8MB, alloc=4.3MB, time=114.65
memory used=1182.6MB, alloc=4.3MB, time=115.02
memory used=1186.4MB, alloc=4.3MB, time=115.38
memory used=1190.2MB, alloc=4.3MB, time=115.75
memory used=1194.0MB, alloc=4.3MB, time=116.12
memory used=1197.8MB, alloc=4.3MB, time=116.50
memory used=1201.6MB, alloc=4.3MB, time=116.86
memory used=1205.5MB, alloc=4.3MB, time=117.23
memory used=1209.3MB, alloc=4.3MB, time=117.59
memory used=1213.1MB, alloc=4.3MB, time=117.96
memory used=1216.9MB, alloc=4.3MB, time=118.32
memory used=1220.7MB, alloc=4.3MB, time=118.69
memory used=1224.5MB, alloc=4.3MB, time=119.06
memory used=1228.3MB, alloc=4.3MB, time=119.42
memory used=1232.2MB, alloc=4.3MB, time=119.79
memory used=1236.0MB, alloc=4.3MB, time=120.16
memory used=1239.8MB, alloc=4.3MB, time=120.52
memory used=1243.6MB, alloc=4.3MB, time=120.89
memory used=1247.4MB, alloc=4.3MB, time=121.26
memory used=1251.2MB, alloc=4.3MB, time=121.63
memory used=1255.1MB, alloc=4.3MB, time=122.00
memory used=1258.9MB, alloc=4.3MB, time=122.38
memory used=1262.7MB, alloc=4.3MB, time=122.75
memory used=1266.5MB, alloc=4.3MB, time=123.12
memory used=1270.3MB, alloc=4.3MB, time=123.49
memory used=1274.1MB, alloc=4.3MB, time=123.86
memory used=1277.9MB, alloc=4.3MB, time=124.23
memory used=1281.8MB, alloc=4.3MB, time=124.60
memory used=1285.6MB, alloc=4.3MB, time=124.97
memory used=1289.4MB, alloc=4.3MB, time=125.35
memory used=1293.2MB, alloc=4.3MB, time=125.72
memory used=1297.0MB, alloc=4.3MB, time=126.09
memory used=1300.8MB, alloc=4.3MB, time=126.47
memory used=1304.6MB, alloc=4.3MB, time=126.84
memory used=1308.5MB, alloc=4.3MB, time=127.21
memory used=1312.3MB, alloc=4.3MB, time=127.59
memory used=1316.1MB, alloc=4.3MB, time=127.97
memory used=1319.9MB, alloc=4.3MB, time=128.34
memory used=1323.7MB, alloc=4.3MB, time=128.72
memory used=1327.5MB, alloc=4.3MB, time=129.10
memory used=1331.4MB, alloc=4.3MB, time=129.47
memory used=1335.2MB, alloc=4.3MB, time=129.85
memory used=1339.0MB, alloc=4.3MB, time=130.22
memory used=1342.8MB, alloc=4.3MB, time=130.60
memory used=1346.6MB, alloc=4.3MB, time=130.97
memory used=1350.4MB, alloc=4.3MB, time=131.34
memory used=1354.2MB, alloc=4.3MB, time=131.72
memory used=1358.1MB, alloc=4.3MB, time=132.10
memory used=1361.9MB, alloc=4.3MB, time=132.47
memory used=1365.7MB, alloc=4.3MB, time=132.85
memory used=1369.5MB, alloc=4.3MB, time=133.23
memory used=1373.3MB, alloc=4.3MB, time=133.60
memory used=1377.1MB, alloc=4.3MB, time=133.98
memory used=1380.9MB, alloc=4.3MB, time=134.36
memory used=1384.8MB, alloc=4.3MB, time=134.73
memory used=1388.6MB, alloc=4.3MB, time=135.11
memory used=1392.4MB, alloc=4.3MB, time=135.48
memory used=1396.2MB, alloc=4.3MB, time=135.86
memory used=1400.0MB, alloc=4.3MB, time=136.24
memory used=1403.8MB, alloc=4.3MB, time=136.61
memory used=1407.7MB, alloc=4.3MB, time=136.99
memory used=1411.5MB, alloc=4.3MB, time=137.37
memory used=1415.3MB, alloc=4.3MB, time=137.74
memory used=1419.1MB, alloc=4.3MB, time=138.12
memory used=1422.9MB, alloc=4.3MB, time=138.49
memory used=1426.7MB, alloc=4.3MB, time=138.87
memory used=1430.5MB, alloc=4.3MB, time=139.24
memory used=1434.4MB, alloc=4.3MB, time=139.62
memory used=1438.2MB, alloc=4.3MB, time=140.00
memory used=1442.0MB, alloc=4.3MB, time=140.37
memory used=1445.8MB, alloc=4.3MB, time=140.75
memory used=1449.6MB, alloc=4.3MB, time=141.13
memory used=1453.4MB, alloc=4.3MB, time=141.54
memory used=1457.2MB, alloc=4.3MB, time=141.92
memory used=1461.1MB, alloc=4.3MB, time=142.29
memory used=1464.9MB, alloc=4.3MB, time=142.67
memory used=1468.7MB, alloc=4.3MB, time=143.05
memory used=1472.5MB, alloc=4.3MB, time=143.42
memory used=1476.3MB, alloc=4.3MB, time=143.79
memory used=1480.1MB, alloc=4.3MB, time=144.16
memory used=1483.9MB, alloc=4.3MB, time=144.54
memory used=1487.8MB, alloc=4.3MB, time=144.92
memory used=1491.6MB, alloc=4.3MB, time=145.29
memory used=1495.4MB, alloc=4.3MB, time=145.67
memory used=1499.2MB, alloc=4.3MB, time=146.05
memory used=1503.0MB, alloc=4.3MB, time=146.42
memory used=1506.8MB, alloc=4.3MB, time=146.80
memory used=1510.7MB, alloc=4.3MB, time=147.18
memory used=1514.5MB, alloc=4.3MB, time=147.55
memory used=1518.3MB, alloc=4.3MB, time=147.93
memory used=1522.1MB, alloc=4.3MB, time=148.30
memory used=1525.9MB, alloc=4.3MB, time=148.68
memory used=1529.7MB, alloc=4.3MB, time=149.05
memory used=1533.5MB, alloc=4.3MB, time=149.43
memory used=1537.4MB, alloc=4.3MB, time=149.81
memory used=1541.2MB, alloc=4.3MB, time=150.18
memory used=1545.0MB, alloc=4.3MB, time=150.56
memory used=1548.8MB, alloc=4.3MB, time=150.94
memory used=1552.6MB, alloc=4.3MB, time=151.31
memory used=1556.4MB, alloc=4.3MB, time=151.69
memory used=1560.2MB, alloc=4.3MB, time=152.06
memory used=1564.1MB, alloc=4.3MB, time=152.44
memory used=1567.9MB, alloc=4.3MB, time=152.82
memory used=1571.7MB, alloc=4.3MB, time=153.19
memory used=1575.5MB, alloc=4.3MB, time=153.57
memory used=1579.3MB, alloc=4.3MB, time=153.94
memory used=1583.1MB, alloc=4.3MB, time=154.32
memory used=1586.9MB, alloc=4.3MB, time=154.69
memory used=1590.8MB, alloc=4.3MB, time=155.07
memory used=1594.6MB, alloc=4.3MB, time=155.44
memory used=1598.4MB, alloc=4.3MB, time=155.82
memory used=1602.2MB, alloc=4.3MB, time=156.20
memory used=1606.0MB, alloc=4.3MB, time=156.57
memory used=1609.8MB, alloc=4.3MB, time=156.95
memory used=1613.7MB, alloc=4.3MB, time=157.33
memory used=1617.5MB, alloc=4.3MB, time=157.70
memory used=1621.3MB, alloc=4.3MB, time=158.08
memory used=1625.1MB, alloc=4.3MB, time=158.45
memory used=1628.9MB, alloc=4.3MB, time=158.82
memory used=1632.7MB, alloc=4.3MB, time=159.20
memory used=1636.5MB, alloc=4.3MB, time=159.57
memory used=1640.4MB, alloc=4.3MB, time=159.95
memory used=1644.2MB, alloc=4.3MB, time=160.32
memory used=1648.0MB, alloc=4.3MB, time=160.69
memory used=1651.8MB, alloc=4.3MB, time=161.07
memory used=1655.6MB, alloc=4.3MB, time=161.44
memory used=1659.4MB, alloc=4.3MB, time=161.82
memory used=1663.2MB, alloc=4.3MB, time=162.19
memory used=1667.1MB, alloc=4.3MB, time=162.56
memory used=1670.9MB, alloc=4.3MB, time=162.94
memory used=1674.7MB, alloc=4.3MB, time=163.32
memory used=1678.5MB, alloc=4.3MB, time=163.69
memory used=1682.3MB, alloc=4.3MB, time=164.06
memory used=1686.1MB, alloc=4.3MB, time=164.44
memory used=1689.9MB, alloc=4.3MB, time=164.81
memory used=1693.8MB, alloc=4.3MB, time=165.19
memory used=1697.6MB, alloc=4.3MB, time=165.56
memory used=1701.4MB, alloc=4.3MB, time=165.94
memory used=1705.2MB, alloc=4.3MB, time=166.31
memory used=1709.0MB, alloc=4.3MB, time=166.69
memory used=1712.8MB, alloc=4.3MB, time=167.06
memory used=1716.7MB, alloc=4.3MB, time=167.44
memory used=1720.5MB, alloc=4.3MB, time=167.82
memory used=1724.3MB, alloc=4.3MB, time=168.19
memory used=1728.1MB, alloc=4.3MB, time=168.57
memory used=1731.9MB, alloc=4.3MB, time=168.95
memory used=1735.7MB, alloc=4.3MB, time=169.32
memory used=1739.5MB, alloc=4.3MB, time=169.70
memory used=1743.4MB, alloc=4.3MB, time=170.07
memory used=1747.2MB, alloc=4.3MB, time=170.45
memory used=1751.0MB, alloc=4.3MB, time=170.82
memory used=1754.8MB, alloc=4.3MB, time=171.19
memory used=1758.6MB, alloc=4.3MB, time=171.57
memory used=1762.4MB, alloc=4.3MB, time=171.94
memory used=1766.2MB, alloc=4.3MB, time=172.31
memory used=1770.1MB, alloc=4.3MB, time=172.69
memory used=1773.9MB, alloc=4.3MB, time=173.06
memory used=1777.7MB, alloc=4.3MB, time=173.43
memory used=1781.5MB, alloc=4.3MB, time=173.81
memory used=1785.3MB, alloc=4.3MB, time=174.19
memory used=1789.1MB, alloc=4.3MB, time=174.56
memory used=1793.0MB, alloc=4.3MB, time=174.93
memory used=1796.8MB, alloc=4.3MB, time=175.31
memory used=1800.6MB, alloc=4.3MB, time=175.68
memory used=1804.4MB, alloc=4.3MB, time=176.06
memory used=1808.2MB, alloc=4.3MB, time=176.43
memory used=1812.0MB, alloc=4.3MB, time=176.80
memory used=1815.8MB, alloc=4.3MB, time=177.17
memory used=1819.7MB, alloc=4.3MB, time=177.54
memory used=1823.5MB, alloc=4.3MB, time=177.92
memory used=1827.3MB, alloc=4.3MB, time=178.29
memory used=1831.1MB, alloc=4.3MB, time=178.66
memory used=1834.9MB, alloc=4.3MB, time=179.04
memory used=1838.7MB, alloc=4.3MB, time=179.41
memory used=1842.5MB, alloc=4.3MB, time=179.78
Finished!
Maximum Time Reached before Solution Completed!
diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;
Iterations = 6687
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 2 Minutes 59 Seconds
Expected Time Remaining = 14 Minutes 31 Seconds
Optimized Time Remaining = 14 Minutes 30 Seconds
Expected Total Time = 17 Minutes 31 Seconds
Time to Timeout Unknown
Percent Done = 17.12 %
> quit
memory used=1846.1MB, alloc=4.3MB, time=180.11