|\^/| 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_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float
and array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_3D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
> #emit pre tanh $eq_no = 1
> array_tmp3_a1[1] := sinh(array_tmp2[1]);
> array_tmp3_a2[1] := cosh(array_tmp2[1]);
> array_tmp3[1] := (array_tmp3_a1[1] / array_tmp3_a2[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_3D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre tanh $eq_no = 1
> array_tmp3_a1[2] := array_tmp3_a2[1] * array_tmp2[2] / 1;
> array_tmp3_a2[2] := array_tmp3_a1[1] * array_tmp2[2] / 1;
> array_tmp3[2] := (array_tmp3_a1[2] - ats(2,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre tanh $eq_no = 1
> array_tmp3_a1[3] := array_tmp3_a2[2] * array_tmp2[2] / 2;
> array_tmp3_a2[3] := array_tmp3_a1[2] * array_tmp2[2] / 2;
> array_tmp3[3] := (array_tmp3_a1[3] - ats(3,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre tanh $eq_no = 1
> array_tmp3_a1[4] := array_tmp3_a2[3] * array_tmp2[2] / 3;
> array_tmp3_a2[4] := array_tmp3_a1[3] * array_tmp2[2] / 3;
> array_tmp3[4] := (array_tmp3_a1[4] - ats(4,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre tanh $eq_no = 1
> array_tmp3_a1[5] := array_tmp3_a2[4] * array_tmp2[2] / 4;
> array_tmp3_a2[5] := array_tmp3_a1[4] * array_tmp2[2] / 4;
> array_tmp3[5] := (array_tmp3_a1[5] - ats(5,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> array_tmp3_a1[kkk] := array_tmp3_a2[kkk-1] * array_tmp2[2] / (kkk - 1);
> array_tmp3_a2[kkk] := array_tmp3_a1[kkk-1] * array_tmp2[2] / (kkk - 1);
> array_tmp3[kkk] := (array_tmp3_a1[kkk] - ats(kkk ,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_const_3D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
array_tmp3_a1[1] := sinh(array_tmp2[1]);
array_tmp3_a2[1] := cosh(array_tmp2[1]);
array_tmp3[1] := array_tmp3_a1[1]/array_tmp3_a2[1];
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_3D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3_a1[2] := array_tmp3_a2[1]*array_tmp2[2];
array_tmp3_a2[2] := array_tmp3_a1[1]*array_tmp2[2];
array_tmp3[2] := (
array_tmp3_a1[2] - ats(2, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3_a1[3] := 1/2*array_tmp3_a2[2]*array_tmp2[2];
array_tmp3_a2[3] := 1/2*array_tmp3_a1[2]*array_tmp2[2];
array_tmp3[3] := (
array_tmp3_a1[3] - ats(3, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3_a1[4] := 1/3*array_tmp3_a2[3]*array_tmp2[2];
array_tmp3_a2[4] := 1/3*array_tmp3_a1[3]*array_tmp2[2];
array_tmp3[4] := (
array_tmp3_a1[4] - ats(4, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3_a1[5] := 1/4*array_tmp3_a2[4]*array_tmp2[2];
array_tmp3_a2[5] := 1/4*array_tmp3_a1[4]*array_tmp2[2];
array_tmp3[5] := (
array_tmp3_a1[5] - ats(5, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3_a1[kkk] :=
array_tmp3_a2[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp3_a2[kkk] :=
array_tmp3_a1[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp3[kkk] := (
array_tmp3_a1[kkk] - ats(kkk, array_tmp3_a2, array_tmp3, 2))/
array_tmp3_a2[1];
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 16
> # Begin Function number 17
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 26
> # Begin Function number 27
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 27
> # Begin Function number 28
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(ln(cosh(3.0*x + 1.0))/3.0);
> end;
exact_soln_y := proc(x) return ln(cosh(3.0*x + 1.0))/3.0 end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_3D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3_a1,
> array_tmp3_a2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_max_h := 0.1;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-200;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/lin_tanhpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 1.1;");
> omniout_str(ALWAYS,"x_end := 2.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(ln(cosh(3.0*x + 1.0))/3.0);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3_g:= Array(0..(max_terms + 1),[]);
> array_tmp3_a1:= Array(0..(max_terms + 1),[]);
> array_tmp3_a2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_a2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_a2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3D0[1] := 3.0;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1D0[1] := 1.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 1.1;
> x_end := 2.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> if (glob_max_h < glob_h) then # if number 2
> glob_h := glob_max_h;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T15:58:55-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_tanh")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"lin_tanh diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_tanh maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp,
subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_3D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3_a1, array_tmp3_a2,
array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_max_h := 0.1;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-200);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/lin_tanhpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 1.1;");
omniout_str(ALWAYS, "x_end := 2.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(ln(cosh(3.0*x + 1.0))/3.0);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3_g := Array(0 .. max_terms + 1, []);
array_tmp3_a1 := Array(0 .. max_terms + 1, []);
array_tmp3_a2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_a2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_g[term] := 0.; term := term + 1
end do;
array_tmp3_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_a1[term] := 0.; term := term + 1
end do;
array_tmp3_a2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_a2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 1.1;
x_end := 2.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-28T15:58:55-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_tanh");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file, "lin_tanh diffeq.mxt");
logitem_str(html_log_file, "lin_tanh maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/lin_tanhpostode.ode#################
diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 1.1;
x_end := 2.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(ln(cosh(3.0*x + 1.0))/3.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 0.9
estimated_steps = 900
step_error = 1.1111111111111111111111111111111e-13
est_needed_step_err = 1.1111111111111111111111111111111e-13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 4.1135837558980042819253930276067e-85
max_value3 = 4.1135837558980042819253930276067e-85
value3 = 4.1135837558980042819253930276067e-85
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 1.202345636096110145564045330841
y[1] (numeric) = 1.202345636096110145564045330841
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.527
Order of pole = 0.03164
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 1.2033452690543240155244986888394
y[1] (numeric) = 1.2033452690543240155244986888395
absolute error = 1e-31
relative error = 8.3101668799169545456568513171712e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.528
Order of pole = 0.03319
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 1.204344904207794503674368272561
y[1] (numeric) = 1.2043449042077945036743682725611
absolute error = 1e-31
relative error = 8.3032692421095894710251456744853e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.53
Order of pole = 0.03478
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 1.2053445415433942829043410082996
y[1] (numeric) = 1.2053445415433942829043410082997
absolute error = 1e-31
relative error = 8.2963830301960050878157153418185e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.531
Order of pole = 0.03642
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 1.2063441810480744972830659549344
y[1] (numeric) = 1.2063441810480744972830659549345
absolute error = 1e-31
relative error = 8.2895082158990296151615532925532e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.532
Order of pole = 0.0381
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 1.2073438227088642933189624953961
y[1] (numeric) = 1.2073438227088642933189624953963
absolute error = 2e-31
relative error = 1.6565289542068371750973935750828e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.533
Order of pole = 0.03984
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.32
x[1] = 1.106
y[1] (analytic) = 1.2083434665128703540179402780421
y[1] (numeric) = 1.2083434665128703540179402780423
absolute error = 2e-31
relative error = 1.6551585335018630017295799722135e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.534
Order of pole = 0.04162
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 1.209343112447276435720402158612
y[1] (numeric) = 1.2093431124472764357204021586122
absolute error = 2e-31
relative error = 1.6537903754648403995981750478165e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.535
Order of pole = 0.04345
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 1.2103427604993429077009997177532
y[1] (numeric) = 1.2103427604993429077009997177534
absolute error = 2e-31
relative error = 1.6524244745140405996561358076855e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.536
Order of pole = 0.04533
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 1.2113424106564062945147086789215
y[1] (numeric) = 1.2113424106564062945147086789217
absolute error = 2e-31
relative error = 1.6510608250859748911019450348937e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.537
Order of pole = 0.04726
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 1.2123420629058788210728887300618
y[1] (numeric) = 1.212342062905878821072888730062
absolute error = 2e-31
relative error = 1.6496994216353208017329099353997e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.538
Order of pole = 0.04924
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 1.2133417172352479604330888631022
y[1] (numeric) = 1.2133417172352479604330888631025
absolute error = 3e-31
relative error = 2.4725103879522729490760618910131e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.539
Order of pole = 0.05127
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 1.2143413736320759842864553911998
y[1] (numeric) = 1.2143413736320759842864553912001
absolute error = 3e-31
relative error = 2.4704749958630225187384793409859e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.54
Order of pole = 0.05335
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 1.2153410320839995161266952880715
y[1] (numeric) = 1.2153410320839995161266952880717
absolute error = 2e-31
relative error = 1.6456286319655568011717205861980e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.541
Order of pole = 0.05548
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 1.2163406925787290870846424198396
y[1] (numeric) = 1.2163406925787290870846424198398
absolute error = 2e-31
relative error = 1.6442761573320853435298523914645e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.542
Order of pole = 0.05767
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 1.2173403551040486944125686108005
y[1] (numeric) = 1.2173403551040486944125686108006
absolute error = 1e-31
relative error = 8.2146295060967386765122651499370e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.544
Order of pole = 0.05991
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 1.2183400196478153626024753035543
y[1] (numeric) = 1.2183400196478153626024753035544
absolute error = 1e-31
relative error = 8.2078892909474421711365526726800e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.545
Order of pole = 0.06221
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 1.2193396861979587071226948441759
y[1] (numeric) = 1.219339686197958707122694844176
absolute error = 1e-31
relative error = 8.2011601141115560696219837828169e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.546
Order of pole = 0.06455
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 1.2203393547424805007572231476805
y[1] (numeric) = 1.2203393547424805007572231476806
absolute error = 1e-31
relative error = 8.1944419485760406269707712314591e-30 %
Correct digits = 31
h = 0.001
memory used=7.6MB, alloc=3.9MB, time=0.69
Complex estimate of poles used for equation 1
Radius of convergence = 1.547
Order of pole = 0.06695
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 1.2213390252694542425322976810779
y[1] (numeric) = 1.221339025269454242532297681078
absolute error = 1e-31
relative error = 8.1877347674154439879547065247965e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.548
Order of pole = 0.06941
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 1.2223386977670247292148263439033
y[1] (numeric) = 1.2223386977670247292148263439034
absolute error = 1e-31
relative error = 8.1810385437915503760347929495660e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.549
Order of pole = 0.07192
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 1.2233383722234076293673639323542
y[1] (numeric) = 1.2233383722234076293673639323543
absolute error = 1e-31
relative error = 8.1743532509530299590677590809326e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.55
Order of pole = 0.07449
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 1.2243380486268890599444234461133
y[1] (numeric) = 1.2243380486268890599444234461134
absolute error = 1e-31
relative error = 8.1676788622350903825913822580629e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.551
Order of pole = 0.07712
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 1.2253377269658251654149995396528
y[1] (numeric) = 1.2253377269658251654149995396529
absolute error = 1e-31
relative error = 8.1610153510591299615376122569106e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.553
Order of pole = 0.0798
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 1.2263374072286416993962709353238
y[1] (numeric) = 1.2263374072286416993962709353239
absolute error = 1e-31
relative error = 8.1543626909323925212791531109958e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.554
Order of pole = 0.08254
TOP MAIN SOLVE Loop
x[1] = 1.125
y[1] (analytic) = 1.2273370894038336087835376068616
y[1] (numeric) = 1.2273370894038336087835376068618
absolute error = 2e-31
relative error = 1.6295441710895247757942877408595e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.555
Order of pole = 0.08534
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 1.2283367734799646203615370120758
y[1] (numeric) = 1.2283367734799646203615370120759
absolute error = 1e-31
relative error = 8.1410898182827299562078283363934e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.556
Order of pole = 0.08819
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 1.2293364594456668298823716054344
y[1] (numeric) = 1.2293364594456668298823716054346
absolute error = 2e-31
relative error = 1.6268939106400873028122709729782e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.557
Order of pole = 0.09111
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 1.2303361472896402935953672979647
y[1] (numeric) = 1.2303361472896402935953672979648
absolute error = 1e-31
relative error = 8.1278600340479505016414831661031e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.558
Order of pole = 0.09408
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 1.2313358370006526222142694563177
y[1] (numeric) = 1.2313358370006526222142694563178
absolute error = 1e-31
relative error = 8.1212612347566230093490834002203e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.559
Order of pole = 0.09711
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 1.2323355285675385773072694479407
y[1] (numeric) = 1.2323355285675385773072694479408
absolute error = 1e-31
relative error = 8.1146731293416138180671947763066e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.561
Order of pole = 0.1002
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 1.2333352219791996700954406479617
y[1] (numeric) = 1.2333352219791996700954406479618
absolute error = 1e-31
relative error = 8.1080956919015575355791540166389e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.562
Order of pole = 0.1034
memory used=11.4MB, alloc=4.1MB, time=1.07
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 1.2343349172246037626452482285456
y[1] (numeric) = 1.2343349172246037626452482285457
absolute error = 1e-31
relative error = 8.1015288966182313115592913269128e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.563
Order of pole = 0.1066
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 1.2353346142927846714408819559981
y[1] (numeric) = 1.2353346142927846714408819559983
absolute error = 2e-31
relative error = 1.6189945435512448245069316347232e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.564
Order of pole = 0.1098
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 1.2363343131728417733222456276613
y[1] (numeric) = 1.2363343131728417733222456276615
absolute error = 2e-31
relative error = 1.6176854259325215236538296628615e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.565
Order of pole = 0.1132
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 1.2373340138539396137745206925062
y[1] (numeric) = 1.2373340138539396137745206925064
absolute error = 2e-31
relative error = 1.6163784213533217042147818120148e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.566
Order of pole = 0.1166
TOP MAIN SOLVE Loop
x[1] = 1.136
y[1] (analytic) = 1.2383337163253075175553050191374
y[1] (numeric) = 1.2383337163253075175553050191376
absolute error = 2e-31
relative error = 1.6150735247158565139200232777783e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.568
Order of pole = 0.12
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 1.2393334205762392016454107054959
y[1] (numeric) = 1.2393334205762392016454107054961
absolute error = 2e-31
relative error = 1.6137707309386379997444015937497e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.569
Order of pole = 0.1236
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 1.2403331265960923905094872686995
y[1] (numeric) = 1.2403331265960923905094872686997
absolute error = 2e-31
relative error = 1.6124700349564145094339070125513e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.57
Order of pole = 0.1272
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 1.2413328343742884336527185139827
y[1] (numeric) = 1.2413328343742884336527185139829
absolute error = 2e-31
relative error = 1.6111714317201063969242220651824e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.571
Order of pole = 0.1308
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 1.2423325439003119254599228613738
y[1] (numeric) = 1.242332543900311925459922861374
absolute error = 2e-31
relative error = 1.6098749161967420300035392587538e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.572
Order of pole = 0.1345
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 1.243332255163710327303467910338
y[1] (numeric) = 1.2433322551637103273034679103382
absolute error = 2e-31
relative error = 1.6085804833693940985819803029486e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.574
Order of pole = 0.1383
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 1.24433196815409359190649054887
y[1] (numeric) = 1.2443319681540935919064905488702
absolute error = 2e-31
relative error = 1.6072881282371162219399660752901e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.575
Order of pole = 0.1421
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 1.2453316828611337899479939671751
y[1] (numeric) = 1.2453316828611337899479939671754
absolute error = 3e-31
relative error = 2.4089967687223197800067513863187e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.576
Order of pole = 0.1461
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 1.2463313992745647388964725198481
y[1] (numeric) = 1.2463313992745647388964725198484
absolute error = 3e-31
relative error = 2.4070644467002672205683225638485e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.577
Order of pole = 0.15
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=1.45
x[1] = 1.145
y[1] (analytic) = 1.2473311173841816340587944970505
y[1] (numeric) = 1.2473311173841816340587944970508
absolute error = 3e-31
relative error = 2.4051352188594451792917325409392e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.579
Order of pole = 0.1541
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 1.2483308371798406818311515172916
y[1] (numeric) = 1.2483308371798406818311515172918
absolute error = 2e-31
relative error = 1.6021393851955851031963925408740e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.58
Order of pole = 0.1582
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 1.2493305586514587351389614447
y[1] (numeric) = 1.2493305586514587351389614447003
absolute error = 3e-31
relative error = 2.4012860161190912367263020549881e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.581
Order of pole = 0.1623
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 1.250330281789012931052689464806
y[1] (numeric) = 1.2503302817890129310526894648063
absolute error = 3e-31
relative error = 2.3993660264770226570087519438645e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.582
Order of pole = 0.1666
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 1.2513300065825403305666292274665
y[1] (numeric) = 1.2513300065825403305666292274668
absolute error = 3e-31
relative error = 2.3974491015309267728672253067009e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.584
Order of pole = 0.1709
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 1.2523297330221375605277627863025
y[1] (numeric) = 1.2523297330221375605277627863028
absolute error = 3e-31
relative error = 2.3955352339677849793267263839598e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.585
Order of pole = 0.1753
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 1.2533294610979604577018944334839
y[1] (numeric) = 1.2533294610979604577018944334842
absolute error = 3e-31
relative error = 2.3936244164977140488628902807920e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.586
Order of pole = 0.1797
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 1.2543291908002237149643294494976
y[1] (numeric) = 1.254329190800223714964329449498
absolute error = 4e-31
relative error = 3.1889555224718338612143554785092e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.587
Order of pole = 0.1842
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 1.2553289221192005296024442622584
y[1] (numeric) = 1.2553289221192005296024442622588
absolute error = 4e-31
relative error = 3.1864158703898463519315752053832e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.589
Order of pole = 0.1888
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 1.2563286550452222537175695411341
y[1] (numeric) = 1.2563286550452222537175695411345
absolute error = 4e-31
relative error = 3.1838802561229631105176432266400e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.59
Order of pole = 0.1934
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 1.257328389568678046713682341726
y[1] (numeric) = 1.2573283895686780467136823417264
absolute error = 4e-31
relative error = 3.1813486700735243260203020368137e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.591
Order of pole = 0.1981
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 1.258328125680014529860477569103
y[1] (numeric) = 1.2583281256800145298604775691034
absolute error = 4e-31
relative error = 3.1788211026741180583200385138326e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.592
Order of pole = 0.2029
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 1.2593278633697354429184627431753
y[1] (numeric) = 1.2593278633697354429184627431757
absolute error = 4e-31
relative error = 3.1762975443874620445724833024938e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.594
Order of pole = 0.2078
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 1.260327602628401302813793332518
y[1] (numeric) = 1.2603276026284013028137933325184
absolute error = 4e-31
relative error = 3.1737779857062860541400989568534e-29 %
Correct digits = 30
h = 0.001
memory used=19.0MB, alloc=4.1MB, time=1.83
Complex estimate of poles used for equation 1
Radius of convergence = 1.595
Order of pole = 0.2127
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 1.2613273434466290643506387747246
y[1] (numeric) = 1.2613273434466290643506387747251
absolute error = 5e-31
relative error = 3.9640780214415184863479513163561e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.596
Order of pole = 0.2177
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 1.2623270858150917829489417247668
y[1] (numeric) = 1.2623270858150917829489417247672
absolute error = 4e-31
relative error = 3.1687508292806513272593657881069e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.598
Order of pole = 0.2227
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 1.2633268297245182793955050703389
y[1] (numeric) = 1.2633268297245182793955050703393
absolute error = 4e-31
relative error = 3.1662432126706611052334077975215e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.599
Order of pole = 0.2279
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 1.2643265751656928065964128272349
y[1] (numeric) = 1.2643265751656928065964128272353
absolute error = 4e-31
relative error = 3.1637395579348564379465639383611e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.6
Order of pole = 0.2331
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 1.2653263221294547183188621808794
y[1] (numeric) = 1.2653263221294547183188621808798
absolute error = 4e-31
relative error = 3.1612398557142815724496934600164e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.601
Order of pole = 0.2383
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 1.2663260706066981399105546746593
y[1] (numeric) = 1.2663260706066981399105546746597
absolute error = 4e-31
relative error = 3.1587440966792982727515231956110e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.603
Order of pole = 0.2437
TOP MAIN SOLVE Loop
x[1] = 1.165
y[1] (analytic) = 1.2673258205883716409848648640865
y[1] (numeric) = 1.267325820588371640984864864087
absolute error = 5e-31
relative error = 3.9453153394118399162320362553182e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.604
Order of pole = 0.2491
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 1.2683255720654779100600746604785
y[1] (numeric) = 1.268325572065477910060074660479
absolute error = 5e-31
relative error = 3.9422054637418227700976906666460e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.605
Order of pole = 0.2545
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 1.2693253250290734311410310811589
y[1] (numeric) = 1.2693253250290734311410310811594
absolute error = 5e-31
relative error = 3.9391004822861127689000078670492e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.607
Order of pole = 0.2601
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 1.2703250794702681622316542075428
y[1] (numeric) = 1.2703250794702681622316542075433
absolute error = 5e-31
relative error = 3.9360003835278326683301511088931e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.608
Order of pole = 0.2657
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 1.2713248353802252157667908302341
y[1] (numeric) = 1.2713248353802252157667908302346
absolute error = 5e-31
relative error = 3.9329051559860468614812210329414e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.609
Order of pole = 0.2714
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 1.2723245927501605409519775337924
y[1] (numeric) = 1.272324592750160540951977533793
absolute error = 6e-31
relative error = 4.7157777458587467239313608468213e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.611
Order of pole = 0.2772
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 1.2733243515713426079997448454528
y[1] (numeric) = 1.2733243515713426079997448454534
absolute error = 6e-31
relative error = 4.7120751225685078494041863918200e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.612
Order of pole = 0.283
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.2MB, time=2.23
x[1] = 1.172
y[1] (analytic) = 1.2743241118350920942511615441353
y[1] (numeric) = 1.2743241118350920942511615441358
absolute error = 5e-31
relative error = 3.9236485863865068820697236551823e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.614
Order of pole = 0.2889
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 1.2753238735327815721713853008762
y[1] (numeric) = 1.2753238735327815721713853008768
absolute error = 6e-31
relative error = 4.7046872755383834305154175415523e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.615
Order of pole = 0.2949
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 1.2763236366558351992080525016494
y[1] (numeric) = 1.27632363665583519920805250165
absolute error = 6e-31
relative error = 4.7010020246282717910118364660865e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.616
Order of pole = 0.3009
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 1.2773234011957284095014063907066
y[1] (numeric) = 1.2773234011957284095014063907072
absolute error = 6e-31
relative error = 4.6973225374116515781560529940349e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.618
Order of pole = 0.307
TOP MAIN SOLVE Loop
x[1] = 1.176
y[1] (analytic) = 1.2783231671439876074351285693392
y[1] (numeric) = 1.2783231671439876074351285693398
absolute error = 6e-31
relative error = 4.6936488004086784567273613992798e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.619
Order of pole = 0.3132
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 1.2793229344921898630169043935939
y[1] (numeric) = 1.2793229344921898630169043935944
absolute error = 5e-31
relative error = 3.9083173334844365629153194880281e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.62
Order of pole = 0.3195
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 1.2803227032319626090778179372284
y[1] (numeric) = 1.2803227032319626090778179372289
absolute error = 5e-31
relative error = 3.9052654361110118034814439964415e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.622
Order of pole = 0.3258
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 1.2813224733549833402797369252955
y[1] (numeric) = 1.281322473354983340279736925296
absolute error = 5e-31
relative error = 3.9022182970912253049961529928460e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.623
Order of pole = 0.3322
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 1.2823222448529793139199124014246
y[1] (numeric) = 1.2823222448529793139199124014251
absolute error = 5e-31
relative error = 3.8991759053304573350426674761247e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.625
Order of pole = 0.3387
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 1.2833220177177272525220818703417
y[1] (numeric) = 1.2833220177177272525220818703423
absolute error = 6e-31
relative error = 4.6753658997220823635702016386573e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.626
Order of pole = 0.3452
TOP MAIN SOLVE Loop
x[1] = 1.182
y[1] (analytic) = 1.2843217919410530482034282586282
y[1] (numeric) = 1.2843217919410530482034282586288
absolute error = 6e-31
relative error = 4.6717263832547225282310623362155e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.627
Order of pole = 0.3518
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 1.2853215675148314688068102633544
y[1] (numeric) = 1.285321567514831468806810263355
absolute error = 6e-31
relative error = 4.6680925238039820967571969438429e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.629
Order of pole = 0.3585
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 1.2863213444309858657877425122135
y[1] (numeric) = 1.286321344430985865787742512214
absolute error = 5e-31
relative error = 3.8870535901833988716519773214783e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.63
Order of pole = 0.3653
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 1.2873211226814878838456664422823
y[1] (numeric) = 1.2873211226814878838456664422829
absolute error = 6e-31
relative error = 4.6608417233937786946253374251448e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.632
Order of pole = 0.3721
memory used=26.7MB, alloc=4.2MB, time=2.62
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 1.2883209022583571722891149197044
y[1] (numeric) = 1.2883209022583571722891149197049
absolute error = 5e-31
relative error = 3.8810206302135354816918993439983e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.633
Order of pole = 0.379
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 1.2893206831536610981244353715592
y[1] (numeric) = 1.2893206831536610981244353715598
absolute error = 6e-31
relative error = 4.6536133937788700281521492900204e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.634
Order of pole = 0.386
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 1.290320465359514460857797586087
y[1] (numeric) = 1.2903204653595144608577975860875
absolute error = 5e-31
relative error = 3.8750063524776220459066089080860e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.636
Order of pole = 0.393
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 1.2913202488680792090002733603793
y[1] (numeric) = 1.2913202488680792090002733603799
absolute error = 6e-31
relative error = 4.6464074308904899264768527003720e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.637
Order of pole = 0.4001
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 1.2923200336715641582658358377446
y[1] (numeric) = 1.2923200336715641582658358377452
absolute error = 6e-31
relative error = 4.6428128046220988411143168065137e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.639
Order of pole = 0.4073
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 1.293319819762224711452186682285
y[1] (numeric) = 1.2933198197622247114521866822856
absolute error = 6e-31
relative error = 4.6392237312988002931459253424433e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.64
Order of pole = 0.4145
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 1.2943196071323625799943791878735
y[1] (numeric) = 1.294319607132362579994379187874
absolute error = 5e-31
relative error = 3.8630334984090826026912387774773e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.642
Order of pole = 0.4219
TOP MAIN SOLVE Loop
x[1] = 1.193
y[1] (analytic) = 1.2953193957743255071812650147533
y[1] (numeric) = 1.2953193957743255071812650147538
absolute error = 5e-31
relative error = 3.8600518268400230442285090597639e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.643
Order of pole = 0.4293
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 1.2963191856805069930248514914566
y[1] (numeric) = 1.2963191856805069930248514914571
absolute error = 5e-31
relative error = 3.8570747507491634164895956900949e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.645
Order of pole = 0.4367
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 1.2973189768433460207727153146991
y[1] (numeric) = 1.2973189768433460207727153146996
absolute error = 5e-31
relative error = 3.8541022595430363887340914085886e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.646
Order of pole = 0.4442
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 1.2983187692553267850536770273842
y[1] (numeric) = 1.2983187692553267850536770273846
absolute error = 4e-31
relative error = 3.0809074741284602037382512986856e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.648
Order of pole = 0.4518
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 1.2993185629089784216469988568654
y[1] (numeric) = 1.2993185629089784216469988568659
absolute error = 5e-31
relative error = 3.8481709895729909596028483290587e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.649
Order of pole = 0.4595
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 1.3003183577968747388654263541817
y[1] (numeric) = 1.3003183577968747388654263541821
absolute error = 4e-31
relative error = 3.0761697518269197458597440480519e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.651
Order of pole = 0.4673
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.3MB, time=3.01
x[1] = 1.199
y[1] (analytic) = 1.3013181539116339505424517920861
y[1] (numeric) = 1.3013181539116339505424517920865
absolute error = 4e-31
relative error = 3.0738063462623607751627088453885e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.652
Order of pole = 0.4751
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 1.3023179512459184106142344573385
y[1] (numeric) = 1.302317951245918410614234457339
absolute error = 5e-31
relative error = 3.8393082082732064157528216692548e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.654
Order of pole = 0.4829
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 1.303317749792434349286669812882
y[1] (numeric) = 1.3033177497924343492866698128825
absolute error = 5e-31
relative error = 3.8363630057185188981386247773048e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.655
Order of pole = 0.4909
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 1.3043175495439316107781560101528
y[1] (numeric) = 1.3043175495439316107781560101533
absolute error = 5e-31
relative error = 3.8334223147946623430126154644320e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.657
Order of pole = 0.4989
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 1.3053173504932033926286624028311
y[1] (numeric) = 1.3053173504932033926286624028315
absolute error = 4e-31
relative error = 3.0643889001311696332862593167634e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.658
Order of pole = 0.507
TOP MAIN SOLVE Loop
x[1] = 1.204
y[1] (analytic) = 1.3063171526330859865657605527639
y[1] (numeric) = 1.3063171526330859865657605527643
absolute error = 4e-31
relative error = 3.0620435412161404000319400761154e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.66
Order of pole = 0.5151
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 1.307316955956458520918333728524
y[1] (numeric) = 1.3073169559564585209183337285244
absolute error = 4e-31
relative error = 3.0597017668706990598218308995584e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.661
Order of pole = 0.5233
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 1.3083167604562427045687360790168
y[1] (numeric) = 1.3083167604562427045687360790172
absolute error = 4e-31
relative error = 3.0573635688998589122065554647267e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.663
Order of pole = 0.5316
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 1.3093165661254025724342275206341
y[1] (numeric) = 1.3093165661254025724342275206345
absolute error = 4e-31
relative error = 3.0550289391334956287199764606831e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.664
Order of pole = 0.5399
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 1.3103163729569442324685649085684
y[1] (numeric) = 1.3103163729569442324685649085687
absolute error = 3e-31
relative error = 2.2895234020696902238565655002727e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.666
Order of pole = 0.5484
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 1.3113161809439156141746842729367
y[1] (numeric) = 1.311316180943915614174684272937
absolute error = 3e-31
relative error = 2.2877777637430896696792498822728e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.667
Order of pole = 0.5568
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 1.3123159900794062186194627901962
y[1] (numeric) = 1.3123159900794062186194627901965
absolute error = 3e-31
relative error = 2.2860347832982471106107021873364e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.669
Order of pole = 0.5654
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 1.3133158003565468699416027318294
y[1] (numeric) = 1.3133158003565468699416027318297
absolute error = 3e-31
relative error = 2.2842944546814573936888340756218e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.67
Order of pole = 0.574
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 1.314315611768509468343732887294
y[1] (numeric) = 1.3143156117685094683437328872943
absolute error = 3e-31
relative error = 2.2825567718573141933072179478127e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.672
Order of pole = 0.5827
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.3MB, time=3.40
x[1] = 1.213
y[1] (analytic) = 1.3153154243085067445598758986159
y[1] (numeric) = 1.3153154243085067445598758986162
absolute error = 3e-31
relative error = 2.2808217288086413510527022776885e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.673
Order of pole = 0.5914
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 1.3163152379697920157894825715862
y[1] (numeric) = 1.3163152379697920157894825715865
absolute error = 3e-31
relative error = 2.2790893195364245218734717876510e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.675
Order of pole = 0.6002
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 1.3173150527456589430892865451345
y[1] (numeric) = 1.3173150527456589430892865451347
absolute error = 2e-31
relative error = 1.5182396920398287500000245982050e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.676
Order of pole = 0.609
TOP MAIN SOLVE Loop
x[1] = 1.216
y[1] (analytic) = 1.3183148686294412902142847078996
y[1] (numeric) = 1.3183148686294412902142847078999
absolute error = 3e-31
relative error = 2.2756323784157025980508161734021e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.678
Order of pole = 0.618
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 1.319314685614512683899200451116
y[1] (numeric) = 1.3193146856145126838992004511163
absolute error = 3e-31
relative error = 2.2739078346593669527630953884623e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.68
Order of pole = 0.6269
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 1.3203145036942863755718382414644
y[1] (numeric) = 1.3203145036942863755718382414647
absolute error = 3e-31
relative error = 2.2721859008636916307992076784030e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.681
Order of pole = 0.636
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 1.3213143228622150044897890882939
y[1] (numeric) = 1.3213143228622150044897890882942
absolute error = 3e-31
relative error = 2.2704665711194566580867815956357e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.683
Order of pole = 0.6451
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 1.3223141431117903622919972683724
y[1] (numeric) = 1.3223141431117903622919972683727
absolute error = 3e-31
relative error = 2.2687498395352000961608480003553e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.684
Order of pole = 0.6543
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 1.3233139644365431589567491598331
y[1] (numeric) = 1.3233139644365431589567491598334
absolute error = 3e-31
relative error = 2.2670357002371517889844831317731e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.686
Order of pole = 0.6635
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 1.3243137868300427901576952270077
y[1] (numeric) = 1.324313786830042790157695227008
absolute error = 3e-31
relative error = 2.2653241473691674037334942630904e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.687
Order of pole = 0.6728
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 1.3253136102858971060095660911173
y[1] (numeric) = 1.3253136102858971060095660911176
absolute error = 3e-31
relative error = 2.2636151750926627640394264757514e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.689
Order of pole = 0.6821
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 1.3263134347977521811952932200586
y[1] (numeric) = 1.3263134347977521811952932200589
absolute error = 3e-31
relative error = 2.2619087775865484741938846936206e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.691
Order of pole = 0.6915
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 1.3273132603592920864662940755074
y[1] (numeric) = 1.3273132603592920864662940755077
absolute error = 3e-31
relative error = 2.2602049490471648328258245967158e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.692
Order of pole = 0.701
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=3.80
x[1] = 1.226
y[1] (analytic) = 1.3283130869642386615077305689683
y[1] (numeric) = 1.3283130869642386615077305689686
absolute error = 3e-31
relative error = 2.2585036836882170345720697844355e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.694
Order of pole = 0.7105
TOP MAIN SOLVE Loop
x[1] = 1.227
y[1] (analytic) = 1.3293129146063512891605984019406
y[1] (numeric) = 1.3293129146063512891605984019409
absolute error = 3e-31
relative error = 2.2568049757407106582698609741983e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.695
Order of pole = 0.7201
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 1.330312743279426670992553300736
y[1] (numeric) = 1.3303127432794266709925533007363
absolute error = 3e-31
relative error = 2.2551088194528874402087364944010e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.697
Order of pole = 0.7297
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 1.3313125729772986042094283053581
y[1] (numeric) = 1.3313125729772986042094283053585
absolute error = 4e-31
relative error = 3.0045536121202151079833096651958e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.699
Order of pole = 0.7394
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 1.3323124036938377598994441359162
y[1] (numeric) = 1.3323124036938377598994441359165
absolute error = 3e-31
relative error = 2.2517241389350548345302740791202e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.7
Order of pole = 0.7491
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 1.3333122354229514626021622409536
y[1] (numeric) = 1.3333122354229514626021622409539
absolute error = 3e-31
relative error = 2.2500356032871356278244664118893e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.702
Order of pole = 0.7589
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 1.3343120681585834711942774314939
y[1] (numeric) = 1.3343120681585834711942774314942
absolute error = 3e-31
relative error = 2.2483495964629534599507586352044e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.704
Order of pole = 0.7687
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 1.3353119018947137610843940241745
y[1] (numeric) = 1.3353119018947137610843940241748
absolute error = 3e-31
relative error = 2.2466661127959773289846951675435e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.705
Order of pole = 0.7786
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 1.3363117366253583077089761582
y[1] (numeric) = 1.3363117366253583077089761582004
absolute error = 4e-31
relative error = 2.9933135288487105804755027357551e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.707
Order of pole = 0.7886
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 1.3373115723445688713217094156293
y[1] (numeric) = 1.3373115723445688713217094156296
absolute error = 3e-31
relative error = 2.2433066923517404102653824840125e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.708
Order of pole = 0.7986
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 1.3383114090464327830685570643215
y[1] (numeric) = 1.3383114090464327830685570643218
absolute error = 3e-31
relative error = 2.2416307443254523177489613465810e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.71
Order of pole = 0.8086
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 1.3393112467250727323408401593331
y[1] (numeric) = 1.3393112467250727323408401593334
absolute error = 3e-31
relative error = 2.2399572969581919290235849227297e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.712
Order of pole = 0.8187
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 1.3403110853746465553987163832604
y[1] (numeric) = 1.3403110853746465553987163832607
absolute error = 3e-31
relative error = 2.2382863446670917677103968824608e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.713
Order of pole = 0.8289
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 1.3413109249893470252574778805704
y[1] (numeric) = 1.3413109249893470252574778805706
absolute error = 2e-31
relative error = 1.4910785879238882830513504758038e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.715
Order of pole = 0.8391
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.3MB, time=4.19
x[1] = 1.24
y[1] (analytic) = 1.3423107655634016428291334469211
y[1] (numeric) = 1.3423107655634016428291334469214
absolute error = 3e-31
relative error = 2.2349519030645816404290823791824e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.717
Order of pole = 0.8493
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 1.3433106070910724293117852734306
y[1] (numeric) = 1.3433106070910724293117852734309
absolute error = 3e-31
relative error = 2.2332884026699336557944804655459e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.718
Order of pole = 0.8596
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 1.3443104495666557198193550193568
y[1] (numeric) = 1.3443104495666557198193550193571
absolute error = 3e-31
relative error = 2.2316273751848488260512298073909e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.72
Order of pole = 0.8699
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 1.3453102929844819582442582962735
y[1] (numeric) = 1.3453102929844819582442582962739
absolute error = 4e-31
relative error = 2.9732917534781246675427584843756e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.722
Order of pole = 0.8803
TOP MAIN SOLVE Loop
x[1] = 1.244
y[1] (analytic) = 1.3463101373389154933456706940976
y[1] (numeric) = 1.346310137338915493345670694098
absolute error = 4e-31
relative error = 2.9710836226089068868626217869729e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.723
Order of pole = 0.8907
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 1.3473099826243543760560722657886
y[1] (numeric) = 1.347309982624354376056072265789
absolute error = 4e-31
relative error = 2.9688787670144104594295187336309e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.725
Order of pole = 0.9011
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 1.3483098288352301579988009147304
y[1] (numeric) = 1.3483098288352301579988009147308
absolute error = 4e-31
relative error = 2.9666771794250703560824014376566e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.727
Order of pole = 0.9116
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 1.3493096759660076912093883982277
y[1] (numeric) = 1.3493096759660076912093883982281
absolute error = 4e-31
relative error = 2.9644788525927457149285058450704e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.728
Order of pole = 0.9222
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 1.3503095240111849290534956737293
y[1] (numeric) = 1.3503095240111849290534956737297
absolute error = 4e-31
relative error = 2.9622837792906414145178710439605e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.73
Order of pole = 0.9328
TOP MAIN SOLVE Loop
x[1] = 1.249
y[1] (analytic) = 1.3513093729652927283343070728191
y[1] (numeric) = 1.3513093729652927283343070728195
absolute error = 4e-31
relative error = 2.9600919523132299886329335973316e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.732
Order of pole = 0.9434
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 1.3523092228228946525822852931905
y[1] (numeric) = 1.3523092228228946525822852931909
absolute error = 4e-31
relative error = 2.9579033644761738809745439302423e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.733
Order of pole = 0.954
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 1.3533090735785867765202314522295
y[1] (numeric) = 1.3533090735785867765202314522299
absolute error = 4e-31
relative error = 2.9557180086162480380355266815339e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.735
Order of pole = 0.9647
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 1.3543089252269974916966364489419
y[1] (numeric) = 1.3543089252269974916966364489423
absolute error = 4e-31
relative error = 2.9535358775912628384626199421670e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.737
Order of pole = 0.9754
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 1.3553087777627873132803516352537
y[1] (numeric) = 1.3553087777627873132803516352541
absolute error = 4e-31
relative error = 2.9513569642799873572172798767029e-29 %
Correct digits = 30
h = 0.001
memory used=45.7MB, alloc=4.3MB, time=4.58
Complex estimate of poles used for equation 1
Radius of convergence = 1.738
Order of pole = 0.9862
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 1.3563086311806486880096483046339
y[1] (numeric) = 1.3563086311806486880096483046343
absolute error = 4e-31
relative error = 2.9491812615820729628554277892135e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.74
Order of pole = 0.997
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 1.3573084854753058032887767670016
y[1] (numeric) = 1.357308485475305803288776767002
absolute error = 4e-31
relative error = 2.9470087624179772462557466739746e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.742
Order of pole = 1.008
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 1.3583083406415143974251767954146
y[1] (numeric) = 1.3583083406415143974251767954151
absolute error = 5e-31
relative error = 3.6810493246611103489195051320527e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.743
Order of pole = 1.019
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 1.3593081966740615710005320035397
y[1] (numeric) = 1.3593081966740615710005320035402
absolute error = 5e-31
relative error = 3.6783416830958115008788604886791e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.745
Order of pole = 1.03
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 1.3603080535677655993689012447921
y[1] (numeric) = 1.3603080535677655993689012447926
absolute error = 5e-31
relative error = 3.6756380195546039135037445485320e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.747
Order of pole = 1.04
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 1.3613079113174757462752004157302
y[1] (numeric) = 1.3613079113174757462752004157306
absolute error = 4e-31
relative error = 2.9383506602329184079238972199215e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.748
Order of pole = 1.051
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 1.3623077699180720785873480992028
y[1] (numeric) = 1.3623077699180720785873480992032
absolute error = 4e-31
relative error = 2.9361940732677141504426503874462e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.75
Order of pole = 1.062
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 1.363307629364465282135428298279
y[1] (numeric) = 1.3633076293644652821354282982795
absolute error = 5e-31
relative error = 3.6675508097397326743648625318579e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.752
Order of pole = 1.073
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 1.3643074896515964786512630915333
y[1] (numeric) = 1.3643074896515964786512630915338
absolute error = 5e-31
relative error = 3.6648629710864162773064462240664e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.753
Order of pole = 1.084
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 1.365307350774437043801827385199
y[1] (numeric) = 1.3653073507744370438018273851995
absolute error = 5e-31
relative error = 3.6621790669799535390292232555181e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.755
Order of pole = 1.095
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 1.366307212727988426309977049421
y[1] (numeric) = 1.3663072127279884263099770494215
absolute error = 5e-31
relative error = 3.6594990888007747830442755565326e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.757
Order of pole = 1.106
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 1.3673070755072819681560006056981
y[1] (numeric) = 1.3673070755072819681560006056986
absolute error = 5e-31
relative error = 3.6568230279543895559679683837797e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.759
Order of pole = 1.118
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 1.3683069391073787258535432819729
y[1] (numeric) = 1.3683069391073787258535432819734
absolute error = 5e-31
relative error = 3.6541508758712959613751772723814e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.76
Order of pole = 1.129
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.3MB, time=4.98
x[1] = 1.267
y[1] (analytic) = 1.3693068035233692927934906720566
y[1] (numeric) = 1.3693068035233692927934906720571
absolute error = 5e-31
relative error = 3.6514826240068903838096203304832e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.762
Order of pole = 1.14
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 1.3703066687503736226494374285103
y[1] (numeric) = 1.3703066687503736226494374285108
absolute error = 5e-31
relative error = 3.6488182638413776010115092760307e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.764
Order of pole = 1.151
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 1.3713065347835408538384043840842
y[1] (numeric) = 1.3713065347835408538384043840847
absolute error = 5e-31
relative error = 3.6461577868796812824336383173765e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.765
Order of pole = 1.162
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 1.3723064016180491350305052376726
y[1] (numeric) = 1.3723064016180491350305052376731
absolute error = 5e-31
relative error = 3.6435011846513548721278674376052e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.767
Order of pole = 1.173
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 1.3733062692491054517013014577977
y[1] (numeric) = 1.3733062692491054517013014577983
absolute error = 6e-31
relative error = 4.3690181384525914249136715921718e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.769
Order of pole = 1.184
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 1.3743061376719454537206213512035
y[1] (numeric) = 1.3743061376719454537206213512041
absolute error = 6e-31
relative error = 4.3658394847627708778394810997687e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.771
Order of pole = 1.196
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 1.3753060068818332839716563175312
y[1] (numeric) = 1.3753060068818332839716563175318
absolute error = 6e-31
relative error = 4.3626654504356584617232000019645e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.772
Order of pole = 1.207
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 1.3763058768740614079941841645637
y[1] (numeric) = 1.3763058768740614079941841645643
absolute error = 6e-31
relative error = 4.3594960254238809671934822985959e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.774
Order of pole = 1.218
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 1.3773057476439504446458059934506
y[1] (numeric) = 1.3773057476439504446458059934511
absolute error = 5e-31
relative error = 3.6302759997575775422718177700062e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.776
Order of pole = 1.229
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 1.3783056191868489977751195809557
y[1] (numeric) = 1.3783056191868489977751195809563
absolute error = 6e-31
relative error = 4.3531709633018730139583746166368e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.777
Order of pole = 1.241
TOP MAIN SOLVE Loop
x[1] = 1.277
y[1] (analytic) = 1.3793054914981334889007883873766
y[1] (numeric) = 1.3793054914981334889007883873771
absolute error = 5e-31
relative error = 3.6250127552013491904105617683627e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.779
Order of pole = 1.252
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 1.3803053645732079908905013056347
y[1] (numeric) = 1.3803053645732079908905013056352
absolute error = 5e-31
relative error = 3.6223868488303715033261065275609e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.781
Order of pole = 1.263
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 1.3813052384075040626338540404081
y[1] (numeric) = 1.3813052384075040626338540404086
absolute error = 5e-31
relative error = 3.6197647420525680811432597943466e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.782
Order of pole = 1.274
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 1.3823051129964805847032185673061
y[1] (numeric) = 1.3823051129964805847032185673066
absolute error = 5e-31
relative error = 3.6171464266389718841071895072959e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.784
Order of pole = 1.286
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=5.38
x[1] = 1.281
y[1] (analytic) = 1.3833049883356235959967024722378
y[1] (numeric) = 1.3833049883356235959967024722383
absolute error = 5e-31
relative error = 3.6145318943842901893461337970779e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.786
Order of pole = 1.297
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 1.3843048644204461313573351115319
y[1] (numeric) = 1.3843048644204461313573351115323
absolute error = 4e-31
relative error = 2.8895369096854559523591478357774e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.788
Order of pole = 1.308
TOP MAIN SOLVE Loop
x[1] = 1.283
y[1] (analytic) = 1.3853047412464880601626524652635
y[1] (numeric) = 1.3853047412464880601626524652639
absolute error = 4e-31
relative error = 2.8874513173186907659475197279148e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.789
Order of pole = 1.319
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 1.3863046188093159258788872808607
y[1] (numeric) = 1.3863046188093159258788872808611
absolute error = 4e-31
relative error = 2.8853687318993156042714087718654e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.791
Order of pole = 1.331
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 1.3873044971045227865740056226167
y[1] (numeric) = 1.387304497104522786574005622617
absolute error = 3e-31
relative error = 2.1624668602036348317968260889843e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.793
Order of pole = 1.342
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 1.3883043761277280563838652564408
y[1] (numeric) = 1.3883043761277280563838652564412
absolute error = 4e-31
relative error = 2.8812125559647363095236945575803e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.794
Order of pole = 1.353
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 1.3893042558745773479258054092455
y[1] (numeric) = 1.3893042558745773479258054092458
absolute error = 3e-31
relative error = 2.1593542143952317470889824612367e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.796
Order of pole = 1.364
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 1.3903041363407423156540113499817
y[1] (numeric) = 1.3903041363407423156540113499821
absolute error = 4e-31
relative error = 2.8770683301913597089923181794679e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.798
Order of pole = 1.375
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 1.3913040175219205001510309457074
y[1] (numeric) = 1.3913040175219205001510309457077
absolute error = 3e-31
relative error = 2.1562505119070670047339819341299e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.8
Order of pole = 1.387
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 1.3923038994138351733498538523673
y[1] (numeric) = 1.3923038994138351733498538523677
absolute error = 4e-31
relative error = 2.8729360031843723444885353952481e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.801
Order of pole = 1.398
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 1.3933037820122351846809973073792
y[1] (numeric) = 1.3933037820122351846809973073796
absolute error = 4e-31
relative error = 2.8708742857376915689144904004197e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.803
Order of pole = 1.409
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 1.3943036653128948081390756008082
y[1] (numeric) = 1.3943036653128948081390756008086
absolute error = 4e-31
relative error = 2.8688155238424066805281821423398e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.805
Order of pole = 1.42
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 1.3953035493116135902633632150568
y[1] (numeric) = 1.3953035493116135902633632150572
absolute error = 4e-31
relative error = 2.8667597111563562101885012375174e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.806
Order of pole = 1.431
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.3MB, time=5.76
x[1] = 1.294
y[1] (analytic) = 1.3963034340042161990268943407377
y[1] (numeric) = 1.3963034340042161990268943407382
absolute error = 5e-31
relative error = 3.5808835516943248327311099608406e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.808
Order of pole = 1.443
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 1.3973033193865522736286739999007
y[1] (numeric) = 1.3973033193865522736286739999011
absolute error = 4e-31
relative error = 2.8626569081336544535482533369726e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.81
Order of pole = 1.454
TOP MAIN SOLVE Loop
x[1] = 1.296
y[1] (analytic) = 1.3983032054544962751836083381812
y[1] (numeric) = 1.3983032054544962751836083381816
absolute error = 4e-31
relative error = 2.8606099052028300638358179159359e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.811
Order of pole = 1.465
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 1.3993030922039473383047937858816
y[1] (numeric) = 1.399303092203947338304793785882
absolute error = 4e-31
relative error = 2.8585658262927665340701946768323e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.813
Order of pole = 1.476
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 1.4003029796308291235728367355979
y[1] (numeric) = 1.4003029796308291235728367355983
absolute error = 4e-31
relative error = 2.8565246651510701735203260433731e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.815
Order of pole = 1.487
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 1.4013028677310896708869071419107
y[1] (numeric) = 1.4013028677310896708869071419111
absolute error = 4e-31
relative error = 2.8544864155431107570191247581635e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.816
Order of pole = 1.498
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 1.4023027565007012536922610179683
y[1] (numeric) = 1.4023027565007012536922610179687
absolute error = 4e-31
relative error = 2.8524510712519587835198630074557e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.818
Order of pole = 1.509
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 1.4033026459356602340789981856291
y[1] (numeric) = 1.4033026459356602340789981856295
absolute error = 4e-31
relative error = 2.8504186260783229986005049545519e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.82
Order of pole = 1.52
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 1.4043025360319869187468528312924
y[1] (numeric) = 1.4043025360319869187468528312928
absolute error = 4e-31
relative error = 2.8483890738404881796322846739472e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.822
Order of pole = 1.531
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 1.4053024267857254158308454297412
y[1] (numeric) = 1.4053024267857254158308454297416
absolute error = 4e-31
relative error = 2.8463624083742531823358947539518e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.823
Order of pole = 1.542
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 1.4063023181929434925826554243302
y[1] (numeric) = 1.4063023181929434925826554243307
absolute error = 5e-31
relative error = 3.5554232794160865593195885486189e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.825
Order of pole = 1.552
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 1.4073022102497324339026046947709
y[1] (numeric) = 1.4073022102497324339026046947714
absolute error = 5e-31
relative error = 3.5528971414837232078614180059171e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.827
Order of pole = 1.563
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 1.408302102952206901717172304666
y[1] (numeric) = 1.4083021029522069017171723046665
absolute error = 5e-31
relative error = 3.5503745890306913797702379918331e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.828
Order of pole = 1.574
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 1.4093019962965047951969913009095
y[1] (numeric) = 1.40930199629650479519699130091
absolute error = 5e-31
relative error = 3.5478556144385420977239603244613e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.83
Order of pole = 1.585
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=6.16
x[1] = 1.308
y[1] (analytic) = 1.4103018902787871118103084371525
y[1] (numeric) = 1.410301890278787111810308437153
absolute error = 5e-31
relative error = 3.5453402101103366190896809887265e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.832
Order of pole = 1.596
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 1.4113017848952378092069176148112
y[1] (numeric) = 1.4113017848952378092069176148116
absolute error = 4e-31
relative error = 2.8342626947764567372015950411729e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.833
Order of pole = 1.606
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 1.4123016801420636679276075786067
y[1] (numeric) = 1.4123016801420636679276075786071
absolute error = 4e-31
relative error = 2.8322560655720804033983841285914e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.835
Order of pole = 1.617
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 1.4133015760154941549341939704349
y[1] (numeric) = 1.4133015760154941549341939704353
absolute error = 4e-31
relative error = 2.8302522744488524031454378043817e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.837
Order of pole = 1.627
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 1.4143014725117812879552352364999
y[1] (numeric) = 1.4143014725117812879552352365003
absolute error = 4e-31
relative error = 2.8282513153974528983201138356950e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.838
Order of pole = 1.638
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 1.4153013696271995006425610991559
y[1] (numeric) = 1.4153013696271995006425610991563
absolute error = 4e-31
relative error = 2.8262531824254706951345396751007e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.84
Order of pole = 1.648
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 1.4163012673580455085337713478077
y[1] (numeric) = 1.4163012673580455085337713478081
absolute error = 4e-31
relative error = 2.8242578695573440836749848595876e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.841
Order of pole = 1.659
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 1.4173011657006381758158915735551
y[1] (numeric) = 1.4173011657006381758158915735555
absolute error = 4e-31
relative error = 2.8222653708343019240446993763236e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.843
Order of pole = 1.669
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 1.4183010646513183828854011710391
y[1] (numeric) = 1.4183010646513183828854011710395
absolute error = 4e-31
relative error = 2.8202756803143049779215721157509e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.845
Order of pole = 1.68
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 1.4193009642064488946998774591808
y[1] (numeric) = 1.4193009642064488946998774591813
absolute error = 5e-31
relative error = 3.5228609900899843554355584659151e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.846
Order of pole = 1.69
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 1.4203008643624142299165281311964
y[1] (numeric) = 1.4203008643624142299165281311969
absolute error = 5e-31
relative error = 3.5203808752482487232254705230407e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.848
Order of pole = 1.7
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 1.4213007651156205308129124344264
y[1] (numeric) = 1.4213007651156205308129124344269
absolute error = 5e-31
relative error = 3.5179042485024329410243783906921e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.85
Order of pole = 1.71
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 1.4223006664624954339851795031347
y[1] (numeric) = 1.4223006664624954339851795031352
absolute error = 5e-31
relative error = 3.5154311025079201970932645233275e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.851
Order of pole = 1.72
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 1.4233005683994879418191801234912
y[1] (numeric) = 1.4233005683994879418191801234917
absolute error = 5e-31
relative error = 3.5129614299406464289859309800239e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.853
Order of pole = 1.73
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.3MB, time=6.55
x[1] = 1.322
y[1] (analytic) = 1.4243004709230682947298359004462
y[1] (numeric) = 1.4243004709230682947298359004467
absolute error = 5e-31
relative error = 3.5104952234970287978556683836813e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.854
Order of pole = 1.74
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 1.4253003740297278441641773221055
y[1] (numeric) = 1.425300374029727844164177322106
absolute error = 5e-31
relative error = 3.5080324758938944593539783686386e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.856
Order of pole = 1.75
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 1.4263002777159789263634895794948
y[1] (numeric) = 1.4263002777159789263634895794954
absolute error = 6e-31
relative error = 4.2066878158420915556388175034714e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.858
Order of pole = 1.76
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 1.4273001819783547368800321992333
y[1] (numeric) = 1.4273001819783547368800321992338
absolute error = 5e-31
relative error = 3.5031173281780089454991266834512e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.859
Order of pole = 1.77
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 1.4283000868134092058438255845682
y[1] (numeric) = 1.4283000868134092058438255845687
absolute error = 5e-31
relative error = 3.5006649136003251159245643584020e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.861
Order of pole = 1.78
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 1.4292999922177168739750244374255
y[1] (numeric) = 1.429299992217716873975024437426
absolute error = 5e-31
relative error = 3.4982159289331188658280249373245e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.862
Order of pole = 1.789
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 1.4302998981878727693374247515381
y[1] (numeric) = 1.4302998981878727693374247515386
absolute error = 5e-31
relative error = 3.4957703669942091684223082207379e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.864
Order of pole = 1.799
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 1.4312998047204922848286776252833
y[1] (numeric) = 1.4312998047204922848286776252839
absolute error = 6e-31
relative error = 4.1919938647456845193570522982237e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.866
Order of pole = 1.808
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 1.4322997118122110564028095435234
y[1] (numeric) = 1.4322997118122110564028095435239
absolute error = 5e-31
relative error = 3.4908894826724299782346101068829e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.867
Order of pole = 1.818
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 1.4332996194596848420206750214303
y[1] (numeric) = 1.4332996194596848420206750214308
absolute error = 5e-31
relative error = 3.4884541460248657939454812449868e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.869
Order of pole = 1.827
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 1.4342995276595894013239935909252
y[1] (numeric) = 1.4342995276595894013239935909258
absolute error = 6e-31
relative error = 4.1832266442912854994543495417028e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.87
Order of pole = 1.836
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 1.4352994364086203760286490428837
y[1] (numeric) = 1.4352994364086203760286490428843
absolute error = 6e-31
relative error = 4.1803123778917441058819307496594e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.872
Order of pole = 1.845
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 1.4362993457034931710329546165758
y[1] (numeric) = 1.4362993457034931710329546165764
absolute error = 6e-31
relative error = 4.1774021675552780416164566628009e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.873
Order of pole = 1.854
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 1.437299255540942836236613452835
y[1] (numeric) = 1.4372992555409428362366134528356
absolute error = 6e-31
relative error = 4.1744960048294440194983256581739e-29 %
memory used=68.6MB, alloc=4.3MB, time=6.95
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.875
Order of pole = 1.863
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 1.4382991659177239490661291000848
y[1] (numeric) = 1.4382991659177239490661291000855
absolute error = 7e-31
relative error = 4.8668595281660797281081001971068e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.877
Order of pole = 1.872
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 1.4392990768306104977024461835005
y[1] (numeric) = 1.4392990768306104977024461835011
absolute error = 6e-31
relative error = 4.1686957885168805015823567074066e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.878
Order of pole = 1.881
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 1.44029898827639576500662651814
y[1] (numeric) = 1.4402989882763957650066265181407
absolute error = 7e-31
relative error = 4.8601020044990050277368232862528e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.88
Order of pole = 1.89
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 1.441298900251892213139390967737
y[1] (numeric) = 1.4412989002518922131393909677377
absolute error = 7e-31
relative error = 4.8567302721015241620868999382940e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.881
Order of pole = 1.899
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 1.4422988127539313688703822228839
y[1] (numeric) = 1.4422988127539313688703822228845
absolute error = 6e-31
relative error = 4.1600256111586024078645268155268e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.883
Order of pole = 1.907
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 1.4432987257793637095730283964415
y[1] (numeric) = 1.4432987257793637095730283964422
absolute error = 7e-31
relative error = 4.8500008175508402610148198162427e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.884
Order of pole = 1.916
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 1.4442986393250585499009119110529
y[1] (numeric) = 1.4442986393250585499009119110536
absolute error = 7e-31
relative error = 4.8466430760269914162948754323163e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.886
Order of pole = 1.924
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 1.4452985533879039291415725844885
y[1] (numeric) = 1.4452985533879039291415725844891
absolute error = 6e-31
relative error = 4.1513914104013213943214629048045e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.887
Order of pole = 1.932
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 1.4462984679648064992436981040768
y[1] (numeric) = 1.4462984679648064992436981040775
absolute error = 7e-31
relative error = 4.8399415162557819188762390404908e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.889
Order of pole = 1.941
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 1.4472983830526914135136792225319
y[1] (numeric) = 1.4472983830526914135136792225325
absolute error = 6e-31
relative error = 4.1456551532549867915071983333030e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.89
Order of pole = 1.949
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 1.4482982986485022159775310049297
y[1] (numeric) = 1.4482982986485022159775310049303
absolute error = 6e-31
relative error = 4.1427929630235535795286171344685e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.892
Order of pole = 1.957
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 1.4492982147492007314042053112727
y[1] (numeric) = 1.4492982147492007314042053112733
absolute error = 6e-31
relative error = 4.1399347207767675336612132701515e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.893
Order of pole = 1.964
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 1.4502981313517669559863434118392
y[1] (numeric) = 1.4502981313517669559863434118398
absolute error = 6e-31
relative error = 4.1370804183603487072015484984658e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.895
Order of pole = 1.972
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.3MB, time=7.34
x[1] = 1.349
y[1] (analytic) = 1.4512980484531989486745412042015
y[1] (numeric) = 1.4512980484531989486745412042021
absolute error = 6e-31
relative error = 4.1342300476424063162729225020592e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.896
Order of pole = 1.98
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 1.4522979660505127231612229322353
y[1] (numeric) = 1.452297966050512723161222932236
absolute error = 7e-31
relative error = 4.8199475339322559683092338496512e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.897
Order of pole = 1.987
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 1.4532978841407421405102425994686
y[1] (numeric) = 1.4532978841407421405102425994693
absolute error = 7e-31
relative error = 4.8166312470335207673391088397829e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.899
Order of pole = 1.995
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 1.4542978027209388024283554225534
y[1] (numeric) = 1.4542978027209388024283554225541
absolute error = 7e-31
relative error = 4.8133195188105573375567054674988e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.9
Order of pole = 2.002
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 1.4552977217881719451747246863132
y[1] (numeric) = 1.4552977217881719451747246863139
absolute error = 7e-31
relative error = 4.8100123398797538677397169033938e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.902
Order of pole = 2.009
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 1.4562976413395283341046522405296
y[1] (numeric) = 1.4562976413395283341046522405303
absolute error = 7e-31
relative error = 4.8067097008831767123177422921242e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.903
Order of pole = 2.017
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 1.457297561372112158843743621203
y[1] (numeric) = 1.4572975613721121588437436212037
absolute error = 7e-31
relative error = 4.8034115924884829629547744253268e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.905
Order of pole = 2.024
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 1.4582974818830449290887413862559
y[1] (numeric) = 1.4582974818830449290887413862566
absolute error = 7e-31
relative error = 4.8001180053888333750154965048428e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.906
Order of pole = 2.03
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 1.4592974028694653710312827283419
y[1] (numeric) = 1.4592974028694653710312827283426
absolute error = 7e-31
relative error = 4.7968289303028056472485106563939e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.907
Order of pole = 2.037
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 1.4602973243285293244008597663826
y[1] (numeric) = 1.4602973243285293244008597663833
absolute error = 7e-31
relative error = 4.7935443579743080530284855157953e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.909
Order of pole = 2.044
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 1.4612972462574096401232831234626
y[1] (numeric) = 1.4612972462574096401232831234633
absolute error = 7e-31
relative error = 4.7902642791724934215080223506556e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.91
Order of pole = 2.05
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 1.4622971686532960785909714725607
y[1] (numeric) = 1.4622971686532960785909714725614
absolute error = 7e-31
relative error = 4.7869886846916734670387991427767e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.912
Order of pole = 2.057
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 1.4632970915133952085414116740665
y[1] (numeric) = 1.4632970915133952085414116740672
absolute error = 7e-31
relative error = 4.7837175653512334652302601801205e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.913
Order of pole = 2.063
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 1.4642970148349303065401559409001
y[1] (numeric) = 1.4642970148349303065401559409008
absolute error = 7e-31
relative error = 4.7804509119955472740227753299011e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.914
Order of pole = 2.069
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=7.73
x[1] = 1.363
y[1] (analytic) = 1.4652969386151412570647441490962
y[1] (numeric) = 1.4652969386151412570647441490969
absolute error = 7e-31
relative error = 4.7771887154938926981607986212646e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.916
Order of pole = 2.075
TOP MAIN SOLVE Loop
x[1] = 1.364
y[1] (analytic) = 1.4662968628512844531859609646972
y[1] (numeric) = 1.4662968628512844531859609646979
absolute error = 7e-31
relative error = 4.7739309667403671954601103899933e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.917
Order of pole = 2.081
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 1.4672967875406326978428588824926
y[1] (numeric) = 1.4672967875406326978428588824933
absolute error = 7e-31
relative error = 4.7706776566538039232717313591669e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.918
Order of pole = 2.087
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 1.4682967126804751057079995692972
y[1] (numeric) = 1.4682967126804751057079995692979
absolute error = 7e-31
relative error = 4.7674287761776881235535509768810e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.92
Order of pole = 2.093
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 1.4692966382681170056393870748403
y[1] (numeric) = 1.469296638268117005639387074841
absolute error = 7e-31
relative error = 4.7641843162800738449691164307433e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.921
Order of pole = 2.098
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 1.4702965643008798437155875176882
y[1] (numeric) = 1.4702965643008798437155875176889
absolute error = 7e-31
relative error = 4.7609442679535010004413833324650e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.922
Order of pole = 2.104
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 1.4712964907761010868505507726929
y[1] (numeric) = 1.4712964907761010868505507726936
absolute error = 7e-31
relative error = 4.7577086222149127585975344356219e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.924
Order of pole = 2.109
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 1.4722964176911341269846704809918
y[1] (numeric) = 1.4722964176911341269846704809924
absolute error = 6e-31
relative error = 4.0752663172333485150421964867439e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.925
Order of pole = 2.114
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 1.4732963450433481858486393743112
y[1] (numeric) = 1.4732963450433481858486393743119
absolute error = 7e-31
relative error = 4.7512505026909857094608552088918e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.926
Order of pole = 2.119
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 1.4742962728301282202966774529944
y[1] (numeric) = 1.4742962728301282202966774529951
absolute error = 7e-31
relative error = 4.7480280110608106843665111416372e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.927
Order of pole = 2.124
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 1.4752962010488748282057309824935
y[1] (numeric) = 1.4752962010488748282057309824942
absolute error = 7e-31
relative error = 4.7448098863287849217045646590419e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.929
Order of pole = 2.128
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 1.4762961296970041549372605767821
y[1] (numeric) = 1.4762961296970041549372605767828
absolute error = 7e-31
relative error = 4.7415961196326403180466902317394e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.93
Order of pole = 2.133
TOP MAIN SOLVE Loop
x[1] = 1.375
y[1] (analytic) = 1.4772960587719478003582568199617
y[1] (numeric) = 1.4772960587719478003582568199623
absolute error = 6e-31
relative error = 4.0614743161148771138625519786204e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.931
Order of pole = 2.137
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 1.4782959882711527264181419399777
y[1] (numeric) = 1.4782959882711527264181419399783
absolute error = 6e-31
relative error = 4.0587271071586410062737154301647e-29 %
Correct digits = 30
h = 0.001
memory used=80.1MB, alloc=4.3MB, time=8.11
Complex estimate of poles used for equation 1
Radius of convergence = 1.932
Order of pole = 2.142
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 1.479295918192081165278235991543
y[1] (numeric) = 1.4792959181920811652782359915436
absolute error = 6e-31
relative error = 4.0559836109957561186554343841468e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.934
Order of pole = 2.146
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 1.4802958485322105279904858297866
y[1] (numeric) = 1.4802958485322105279904858297872
absolute error = 6e-31
relative error = 4.0532438201115733767999096393085e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.935
Order of pole = 2.15
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 1.4812957792890333137221748625199
y[1] (numeric) = 1.4812957792890333137221748625205
absolute error = 6e-31
relative error = 4.0505077270116681601673173343457e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.936
Order of pole = 2.154
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 1.4822957104600570195233511580307
y[1] (numeric) = 1.4822957104600570195233511580313
absolute error = 6e-31
relative error = 4.0477753242217725561914801193906e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.937
Order of pole = 2.158
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 1.4832956420428040506337309576788
y[1] (numeric) = 1.4832956420428040506337309576794
absolute error = 6e-31
relative error = 4.0450466042877078852324083609116e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.938
Order of pole = 2.161
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 1.4842955740348116313258539989649
y[1] (numeric) = 1.4842955740348116313258539989655
absolute error = 6e-31
relative error = 4.0423215597753174949240605625521e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.94
Order of pole = 2.165
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 1.4852955064336317162812862958656
y[1] (numeric) = 1.4852955064336317162812862958662
absolute error = 6e-31
relative error = 4.0396001832703998226722284720617e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.941
Order of pole = 2.168
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 1.4862954392368309024966851497538
y[1] (numeric) = 1.4862954392368309024966851497544
absolute error = 6e-31
relative error = 4.0368824673786417250639703617296e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.942
Order of pole = 2.171
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 1.4872953724419903417165601768373
y[1] (numeric) = 1.4872953724419903417165601768379
absolute error = 6e-31
relative error = 4.0341684047255520729564959625109e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.943
Order of pole = 2.174
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 1.4882953060467056533895830374199
y[1] (numeric) = 1.4882953060467056533895830374205
absolute error = 6e-31
relative error = 4.0314579879563956110198487445086e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.944
Order of pole = 2.177
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 1.4892952400485868381453173390984
y[1] (numeric) = 1.489295240048586838145317339099
absolute error = 6e-31
relative error = 4.0287512097361270805141359110926e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.945
Order of pole = 2.18
TOP MAIN SOLVE Loop
x[1] = 1.388
y[1] (analytic) = 1.4902951744452581917882588609113
y[1] (numeric) = 1.4902951744452581917882588609119
absolute error = 6e-31
relative error = 4.0260480627493256040884238514864e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.947
Order of pole = 2.182
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 1.4912951092343582198060948091287
y[1] (numeric) = 1.4912951092343582198060948091292
absolute error = 5e-31
relative error = 3.3527904497501077761622892634866e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.948
Order of pole = 2.184
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.3MB, time=8.51
x[1] = 1.39
y[1] (analytic) = 1.4922950444135395523891092684625
y[1] (numeric) = 1.4922950444135395523891092684631
absolute error = 6e-31
relative error = 4.0206526333121703443169724785158e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.949
Order of pole = 2.187
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 1.4932949799804688599576803556525
y[1] (numeric) = 1.4932949799804688599576803556531
absolute error = 6e-31
relative error = 4.0179603363285098206205165597849e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.95
Order of pole = 2.189
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 1.4942949159328267691948328162831
y[1] (numeric) = 1.4942949159328267691948328162837
absolute error = 6e-31
relative error = 4.0152716415115734548351360587763e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.951
Order of pole = 2.191
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 1.4952948522683077795808279309738
y[1] (numeric) = 1.4952948522683077795808279309744
absolute error = 6e-31
relative error = 4.0125865416430871351891940715503e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.952
Order of pole = 2.192
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 1.4962947889846201804267906143887
y[1] (numeric) = 1.4962947889846201804267906143893
absolute error = 6e-31
relative error = 4.0099050295240128754199545451406e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.953
Order of pole = 2.194
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 1.497294726079485968404391500486
y[1] (numeric) = 1.4972947260794859684043915004865
absolute error = 5e-31
relative error = 3.3393559149787375002421415069222e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.954
Order of pole = 2.196
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 1.4982946635506407655686196106968
y[1] (numeric) = 1.4982946635506407655686196106974
absolute error = 6e-31
relative error = 4.0045527398337465836505035915111e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.955
Order of pole = 2.197
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 1.4992946013958337378706988989337
y[1] (numeric) = 1.4992946013958337378706988989343
absolute error = 6e-31
relative error = 4.0018819479600861378821742128375e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.956
Order of pole = 2.198
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 1.5002945396128275141582195590943
y[1] (numeric) = 1.5002945396128275141582195590949
absolute error = 6e-31
relative error = 3.9992147152307745535826098911544e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.957
Order of pole = 2.199
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 1.5012944781993981056595724676893
y[1] (numeric) = 1.50129447819939810565957246769
absolute error = 7e-31
relative error = 4.6626428736323360030573607879156e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.958
Order of pole = 2.2
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 1.5022944171533348259497925169919
y[1] (numeric) = 1.5022944171533348259497925169926
absolute error = 7e-31
relative error = 4.6595393819436196040016777154506e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.959
Order of pole = 2.201
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 1.5032943564724402113949338733042
y[1] (numeric) = 1.5032943564724402113949338733049
absolute error = 7e-31
relative error = 4.6564400177925702886402963695867e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.96
Order of pole = 2.201
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 1.5042942961545299420721173711825
y[1] (numeric) = 1.5042942961545299420721173711832
absolute error = 7e-31
relative error = 4.6533447729571919494889416022429e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.961
Order of pole = 2.201
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 1.5052942361974327631624073283593
y[1] (numeric) = 1.50529423619743276316240732836
absolute error = 7e-31
relative error = 4.6502536392372710677139303752570e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.962
Order of pole = 2.202
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=8.90
x[1] = 1.404
y[1] (analytic) = 1.5062941765989904068136920382608
y[1] (numeric) = 1.5062941765989904068136920382615
absolute error = 7e-31
relative error = 4.6471666084543048665886566009956e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.963
Order of pole = 2.202
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 1.5072941173570575144707590680467
y[1] (numeric) = 1.5072941173570575144707590680474
absolute error = 7e-31
relative error = 4.6440836724514297476822552389573e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.964
Order of pole = 2.202
TOP MAIN SOLVE Loop
x[1] = 1.406
y[1] (analytic) = 1.5082940584695015596697732605911
y[1] (numeric) = 1.5082940584695015596697732605918
absolute error = 7e-31
relative error = 4.6410048230933500084919992674917e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.965
Order of pole = 2.201
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 1.5092939999342027712943820093809
y[1] (numeric) = 1.5092939999342027712943820093815
absolute error = 6e-31
relative error = 3.9753686162282287202036878700191e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.966
Order of pole = 2.201
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 1.5102939417490540572906889465193
y[1] (numeric) = 1.5102939417490540572906889465199
absolute error = 6e-31
relative error = 3.9727365873238350896078420670579e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.967
Order of pole = 2.2
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 1.5112938839119609288383536564849
y[1] (numeric) = 1.5112938839119609288383536564856
absolute error = 7e-31
relative error = 4.6317927138569553877326797514780e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.968
Order of pole = 2.199
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 1.5122938264208414249750914025838
y[1] (numeric) = 1.5122938264208414249750914025845
absolute error = 7e-31
relative error = 4.6287301301539788314925377831273e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.969
Order of pole = 2.199
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 1.5132937692736260376718631297421
y[1] (numeric) = 1.5132937692736260376718631297428
absolute error = 7e-31
relative error = 4.6256715927403622386204106000282e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.97
Order of pole = 2.197
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 1.5142937124682576373560621869884
y[1] (numeric) = 1.514293712468257637356062186989
absolute error = 6e-31
relative error = 3.9622432230932022451165724041150e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.971
Order of pole = 2.196
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 1.515293656002691398880020296245
y[1] (numeric) = 1.5152936560026913988800202962456
absolute error = 6e-31
relative error = 3.9596285355195488657112191330747e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.971
Order of pole = 2.195
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 1.5162935998748947279321712814658
y[1] (numeric) = 1.5162935998748947279321712814664
absolute error = 6e-31
relative error = 3.9570172956576771974440553841661e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.972
Order of pole = 2.193
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 1.5172935440828471878882269642831
y[1] (numeric) = 1.5172935440828471878882269642838
absolute error = 7e-31
relative error = 4.6134777461478385769410063175764e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.973
Order of pole = 2.192
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 1.5182934886245404270997354297353
y[1] (numeric) = 1.5182934886245404270997354297359
absolute error = 6e-31
relative error = 3.9518051318494082450677311288533e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.974
Order of pole = 2.19
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 1.5192934334979781066174075688902
y[1] (numeric) = 1.5192934334979781066174075688909
absolute error = 7e-31
relative error = 4.6074048933940289300045061852143e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.975
Order of pole = 2.188
memory used=91.5MB, alloc=4.3MB, time=9.28
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 1.520293378701175828346613414831
y[1] (numeric) = 1.5202933787011758283466134148317
absolute error = 7e-31
relative error = 4.6043744569750562487239397853653e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.976
Order of pole = 2.185
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 1.5212933242321610636324653050681
y[1] (numeric) = 1.5212933242321610636324653050688
absolute error = 7e-31
relative error = 4.6013480033727842438056040900701e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.976
Order of pole = 2.183
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 1.5222932700889730822719203275571
y[1] (numeric) = 1.5222932700889730822719203275577
absolute error = 6e-31
relative error = 3.9414218783541751760807871263948e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.977
Order of pole = 2.18
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 1.5232932162696628819503498396682
y[1] (numeric) = 1.5232932162696628819503498396689
absolute error = 7e-31
relative error = 4.5953070132761730013201165969851e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.978
Order of pole = 2.178
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 1.5242931627722931181000390902284
y[1] (numeric) = 1.5242931627722931181000390902291
absolute error = 7e-31
relative error = 4.5922924611620111275824825639749e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.979
Order of pole = 2.175
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 1.5252931095949380341780951246738
y[1] (numeric) = 1.5252931095949380341780951246744
absolute error = 6e-31
relative error = 3.9336701662498037314520648873135e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.98
Order of pole = 2.172
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 1.5262930567356833923612562129597
y[1] (numeric) = 1.5262930567356833923612562129603
absolute error = 6e-31
relative error = 3.9310930319190026784673598480584e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.98
Order of pole = 2.169
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 1.5272930041926264046551110097039
y[1] (numeric) = 1.5272930041926264046551110097045
absolute error = 6e-31
relative error = 3.9285192713704484808453912951720e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.981
Order of pole = 2.165
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 1.5282929519638756644152505366231
y[1] (numeric) = 1.5282929519638756644152505366237
absolute error = 6e-31
relative error = 3.9259488779882970334845984866950e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.982
Order of pole = 2.162
TOP MAIN SOLVE Loop
x[1] = 1.427
y[1] (analytic) = 1.5292929000475510782778908691974
y[1] (numeric) = 1.529292900047551078277890869198
absolute error = 6e-31
relative error = 3.9233818451739617458278116836261e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.983
Order of pole = 2.158
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 1.5302928484417837984975191131819
y[1] (numeric) = 1.5302928484417837984975191131825
absolute error = 6e-31
relative error = 3.9208181663460574817072927771646e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.983
Order of pole = 2.155
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 1.5312927971447161556891298726101
y[1] (numeric) = 1.5312927971447161556891298726107
absolute error = 6e-31
relative error = 3.9182578349403447165360238650704e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.984
Order of pole = 2.151
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 1.5322927461545015919726339398146
y[1] (numeric) = 1.5322927461545015919726339398152
absolute error = 6e-31
relative error = 3.9157008444096739108690646934290e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.985
Order of pole = 2.146
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=9.67
x[1] = 1.431
y[1] (analytic) = 1.5332926954693045945170353802498
y[1] (numeric) = 1.5332926954693045945170353802503
absolute error = 5e-31
relative error = 3.2609559901866084161364742774465e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.985
Order of pole = 2.142
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 1.5342926450873006294819875410516
y[1] (numeric) = 1.5342926450873006294819875410521
absolute error = 5e-31
relative error = 3.2588307165583147451438265897388e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.986
Order of pole = 2.138
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 1.5352925950066760763543527828219
y[1] (numeric) = 1.5352925950066760763543527828224
absolute error = 5e-31
relative error = 3.2567082107096712515059415130482e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.987
Order of pole = 2.133
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 1.5362925452256281626774049195884
y[1] (numeric) = 1.5362925452256281626774049195889
absolute error = 5e-31
relative error = 3.2545884672412266270974390405297e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.987
Order of pole = 2.128
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 1.5372924957423648991703274527723
y[1] (numeric) = 1.5372924957423648991703274527729
absolute error = 6e-31
relative error = 3.9029657769210505412314301091702e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.988
Order of pole = 2.124
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 1.5382924465551050152356747017989
y[1] (numeric) = 1.5382924465551050152356747017995
absolute error = 6e-31
relative error = 3.9004286951005754791183134058956e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.989
Order of pole = 2.119
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 1.5392923976620778948524768672036
y[1] (numeric) = 1.5392923976620778948524768672042
absolute error = 6e-31
relative error = 3.8978949087989875548161880577607e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.989
Order of pole = 2.113
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 1.5402923490615235128526839122264
y[1] (numeric) = 1.540292349061523512852683912227
absolute error = 6e-31
relative error = 3.8953644116038802044044959227178e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.99
Order of pole = 2.108
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 1.5412923007516923715786569164329
y[1] (numeric) = 1.5412923007516923715786569164334
absolute error = 5e-31
relative error = 3.2440309975995381576484401303300e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.991
Order of pole = 2.102
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 1.5422922527308454379194292403485
y[1] (numeric) = 1.542292252730845437919429240349
absolute error = 5e-31
relative error = 3.2419277158053517335825290577440e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.991
Order of pole = 2.097
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 1.5432922049972540807234734439317
y[1] (numeric) = 1.5432922049972540807234734439322
absolute error = 5e-31
relative error = 3.2398271589850324578348215449402e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.992
Order of pole = 2.091
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 1.5442921575492000085857234244215
y[1] (numeric) = 1.5442921575492000085857234244221
absolute error = 6e-31
relative error = 3.8852751862199652642347110620144e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.992
Order of pole = 2.085
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 1.5452921103849752080066146811655
y[1] (numeric) = 1.5452921103849752080066146811661
absolute error = 6e-31
relative error = 3.8827610389502559884228916906132e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.993
Order of pole = 2.079
TOP MAIN SOLVE Loop
x[1] = 1.444
y[1] (analytic) = 1.5462920635028818819209189769368
y[1] (numeric) = 1.5462920635028818819209189769374
absolute error = 6e-31
relative error = 3.8802501426592994844438887490324e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.994
Order of pole = 2.073
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=10.06
x[1] = 1.445
y[1] (analytic) = 1.5472920169012323885941629474674
y[1] (numeric) = 1.547292016901232388594162947468
absolute error = 6e-31
relative error = 3.8777424910497650189116859872465e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.994
Order of pole = 2.066
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 1.5482919705783491808844334139278
y[1] (numeric) = 1.5482919705783491808844334139284
absolute error = 6e-31
relative error = 3.8752380778405504692688882332589e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.995
Order of pole = 2.06
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 1.549291924532564745867385277344
y[1] (numeric) = 1.5492919245325647458673852773446
absolute error = 6e-31
relative error = 3.8727368967667302309917546712557e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.995
Order of pole = 2.053
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 1.5502918787622215448222809199298
y[1] (numeric) = 1.5502918787622215448222809199304
absolute error = 6e-31
relative error = 3.8702389415795033244171595537956e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.996
Order of pole = 2.046
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 1.5512918332656719535769030064889
y[1] (numeric) = 1.5512918332656719535769030064894
absolute error = 5e-31
relative error = 3.2231201717051180835875503647456e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.996
Order of pole = 2.039
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 1.5522917880412782032091954698736
y[1] (numeric) = 1.5522917880412782032091954698741
absolute error = 5e-31
relative error = 3.2210439032916156193787636847517e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.997
Order of pole = 2.032
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 1.5532917430874123211035002784322
y[1] (numeric) = 1.5532917430874123211035002784328
absolute error = 6e-31
relative error = 3.8627643690901579720957362004619e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.997
Order of pole = 2.025
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 1.5542916984024560723592703208909
y[1] (numeric) = 1.5542916984024560723592703208915
absolute error = 6e-31
relative error = 3.8602792552819819363850481885118e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.998
Order of pole = 2.018
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 1.555291653984800901550151405659
y[1] (numeric) = 1.5552916539848009015501514056596
absolute error = 6e-31
relative error = 3.8577973363564613081340726640123e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.998
Order of pole = 2.01
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 1.5562916098328478748313389575648
y[1] (numeric) = 1.5562916098328478748313389575654
absolute error = 6e-31
relative error = 3.8553186061604641679087389873464e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.999
Order of pole = 2.002
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 1.5572915659450076223931275059734
y[1] (numeric) = 1.5572915659450076223931275059739
absolute error = 5e-31
relative error = 3.2107025487971879036984413470497e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.999
Order of pole = 1.994
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 1.5582915223197002812585834945552
y[1] (numeric) = 1.5582915223197002812585834945557
absolute error = 5e-31
relative error = 3.2086422395194139890645391829760e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2
Order of pole = 1.987
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 1.5592914789553554384232843051111
y[1] (numeric) = 1.5592914789553554384232843051117
absolute error = 6e-31
relative error = 3.8479014866544960288736898264197e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2
Order of pole = 1.978
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 1.560291435850412074335078676249
y[1] (numeric) = 1.5602914358504120743350786762496
absolute error = 6e-31
relative error = 3.8454354501598576435868908102620e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.001
Order of pole = 1.97
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.4MB, time=10.45
x[1] = 1.459
y[1] (analytic) = 1.5612913930033185067118359127991
y[1] (numeric) = 1.5612913930033185067118359127996
absolute error = 5e-31
relative error = 3.2024771432204856573533430851114e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.001
Order of pole = 1.962
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 1.5622913504125323346951634240755
y[1] (numeric) = 1.5622913504125323346951634240761
absolute error = 6e-31
relative error = 3.8405128457093897814468085531644e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.002
Order of pole = 1.953
TOP MAIN SOLVE Loop
x[1] = 1.461
y[1] (analytic) = 1.563291308076520383338084198882
y[1] (numeric) = 1.5632913080765203833380841988826
absolute error = 6e-31
relative error = 3.8380562656504647202191765257639e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.002
Order of pole = 1.945
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 1.5642912659937586484246778229413
y[1] (numeric) = 1.5642912659937586484246778229419
absolute error = 6e-31
relative error = 3.8356028256594122962636547550637e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.003
Order of pole = 1.936
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 1.5652912241627322416197005706434
y[1] (numeric) = 1.565291224162732241619700570644
absolute error = 6e-31
relative error = 3.8331525197232067903009204218679e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.003
Order of pole = 1.927
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 1.5662911825819353359462119580655
y[1] (numeric) = 1.5662911825819353359462119580661
absolute error = 6e-31
relative error = 3.8307053418441432558502265604535e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.003
Order of pole = 1.918
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 1.5672911412498711115892469285565
y[1] (numeric) = 1.5672911412498711115892469285571
absolute error = 6e-31
relative error = 3.8282612860397888875728405306835e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.004
Order of pole = 1.909
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 1.5682911001650517020235845562086
y[1] (numeric) = 1.5682911001650517020235845562093
absolute error = 7e-31
relative error = 4.4634570707334236696020562642201e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.004
Order of pole = 1.9
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 1.5692910593259981404636757966858
y[1] (numeric) = 1.5692910593259981404636757966864
absolute error = 6e-31
relative error = 3.8233825168015466334479173973680e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.005
Order of pole = 1.891
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 1.5702910187312403066338043895524
y[1] (numeric) = 1.570291018731240306633804389553
absolute error = 6e-31
relative error = 3.8209477914787187334770477801679e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.005
Order of pole = 1.881
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 1.5712909783793168738565665218657
y[1] (numeric) = 1.5712909783793168738565665218664
absolute error = 7e-31
relative error = 4.4549355251947279896814722466487e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.005
Order of pole = 1.872
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 1.5722909382687752564577662997653
y[1] (numeric) = 1.572290938268775256457766299766
absolute error = 7e-31
relative error = 4.4521022347858784644787102654726e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.006
Order of pole = 1.862
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 1.5732908983981715574858354435272
y[1] (numeric) = 1.5732908983981715574858354435279
absolute error = 7e-31
relative error = 4.4492725452915104965936896599743e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.006
Order of pole = 1.852
TOP MAIN SOLVE Loop
x[1] = 1.472
y[1] (analytic) = 1.5742908587660705167438969224543
y[1] (numeric) = 1.574290858766070516743896922455
absolute error = 7e-31
relative error = 4.4464464498552709441480518542092e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.006
Order of pole = 1.842
memory used=106.8MB, alloc=4.4MB, time=10.84
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 1.5752908193710454591326034794472
y[1] (numeric) = 1.5752908193710454591326034794479
absolute error = 7e-31
relative error = 4.4436239416381779308536889668159e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.007
Order of pole = 1.832
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 1.5762907802116782433018931615475
y[1] (numeric) = 1.5762907802116782433018931615482
absolute error = 7e-31
relative error = 4.4408050138185660109162387923071e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.007
Order of pole = 1.822
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 1.5772907412865592106098150725672
y[1] (numeric) = 1.5772907412865592106098150725679
absolute error = 7e-31
relative error = 4.4379896595920315406535348026231e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.007
Order of pole = 1.812
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 1.5782907025942871343865895975032
y[1] (numeric) = 1.5782907025942871343865895975039
absolute error = 7e-31
relative error = 4.4351778721713782559256689018993e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.008
Order of pole = 1.801
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 1.579290664133469169502078316191
y[1] (numeric) = 1.5792906641334691695020783161917
absolute error = 7e-31
relative error = 4.4323696447865630544778016611907e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.008
Order of pole = 1.791
TOP MAIN SOLVE Loop
x[1] = 1.478
y[1] (analytic) = 1.5802906259027208022348497259548
y[1] (numeric) = 1.5802906259027208022348497259555
absolute error = 7e-31
relative error = 4.4295649706846419823013070024318e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.008
Order of pole = 1.78
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 1.5812905879006658004410377302635
y[1] (numeric) = 1.5812905879006658004410377302642
absolute error = 7e-31
relative error = 4.4267638431297164231232659429017e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.009
Order of pole = 1.77
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 1.5822905501259361640212006229834
y[1] (numeric) = 1.5822905501259361640212006229841
absolute error = 7e-31
relative error = 4.4239662554028794901387272026529e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.009
Order of pole = 1.759
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 1.5832905125771720756833990061178
y[1] (numeric) = 1.5832905125771720756833990061185
absolute error = 7e-31
relative error = 4.4211722008021626191045313664711e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.009
Order of pole = 1.748
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 1.5842904752530218520007217233198
y[1] (numeric) = 1.5842904752530218520007217233206
absolute error = 8e-31
relative error = 5.0495790544485512707632571734017e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.01
Order of pole = 1.737
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 1.5852904381521418947614994723438
y[1] (numeric) = 1.5852904381521418947614994723446
absolute error = 8e-31
relative error = 5.0463939020063855769221966408000e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.01
Order of pole = 1.726
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 1.5862904012731966426104562773334
y[1] (numeric) = 1.5862904012731966426104562773342
absolute error = 8e-31
relative error = 5.0432127645600064403037440702240e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.01
Order of pole = 1.715
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 1.5872903646148585229790594568148
y[1] (numeric) = 1.5872903646148585229790594568157
absolute error = 9e-31
relative error = 5.6700400888427037195458714011419e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.01
Order of pole = 1.703
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.4MB, time=11.23
x[1] = 1.486
y[1] (analytic) = 1.5882903281758079043033391158385
y[1] (numeric) = 1.5882903281758079043033391158393
absolute error = 8e-31
relative error = 5.0368625043433997155508199890689e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.011
Order of pole = 1.692
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 1.5892902919547330485274585212654
y[1] (numeric) = 1.5892902919547330485274585212662
absolute error = 8e-31
relative error = 5.0336933664651491832981207552572e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.011
Order of pole = 1.681
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 1.5902902559503300638913269880997
y[1] (numeric) = 1.5902902559503300638913269881005
absolute error = 8e-31
relative error = 5.0305282133665201901047125920271e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.011
Order of pole = 1.669
TOP MAIN SOLVE Loop
x[1] = 1.489
y[1] (analytic) = 1.5912902201613028580005571123825
y[1] (numeric) = 1.5912902201613028580005571123833
absolute error = 8e-31
relative error = 5.0273670375408147287091807075787e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.012
Order of pole = 1.658
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 1.5922901845863630911770783328623
y[1] (numeric) = 1.5922901845863630911770783328632
absolute error = 9e-31
relative error = 5.6522360604376729559360360499363e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.012
Order of pole = 1.646
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 1.5932901492242301300887288897955
y[1] (numeric) = 1.5932901492242301300887288897964
absolute error = 9e-31
relative error = 5.6486886612473456061377932104869e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.012
Order of pole = 1.634
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 1.5942901140736310016561582751726
y[1] (numeric) = 1.5942901140736310016561582751735
absolute error = 9e-31
relative error = 5.6451457112807150397869398609423e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.012
Order of pole = 1.622
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 1.5952900791333003472353822347733
y[1] (numeric) = 1.5952900791333003472353822347742
absolute error = 9e-31
relative error = 5.6416072021770354161302145931774e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.013
Order of pole = 1.61
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 1.5962900444019803770743422890727
y[1] (numeric) = 1.5962900444019803770743422890736
absolute error = 9e-31
relative error = 5.6380731255964691332748898143358e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.013
Order of pole = 1.598
TOP MAIN SOLVE Loop
x[1] = 1.495
y[1] (analytic) = 1.5972900098784208250418315875179
y[1] (numeric) = 1.5972900098784208250418315875188
absolute error = 9e-31
relative error = 5.6345434732200216707922833185400e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.013
Order of pole = 1.586
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 1.5982899755613789036271586994129
y[1] (numeric) = 1.5982899755613789036271586994138
absolute error = 9e-31
relative error = 5.6310182367494766748749972136342e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.013
Order of pole = 1.574
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 1.5992899414496192592089306749416
y[1] (numeric) = 1.5992899414496192592089306749425
absolute error = 9e-31
relative error = 5.6274974079073312850008903640720e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.013
Order of pole = 1.562
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 1.6002899075419139275913463820772
y[1] (numeric) = 1.600289907541913927591346382078
absolute error = 8e-31
relative error = 4.9990942030548726231661488005971e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.014
Order of pole = 1.55
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 1.601289873837042289806400739606
y[1] (numeric) = 1.6012898738370422898064007396068
absolute error = 8e-31
relative error = 4.9959723912012524354853922007028e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.014
Order of pole = 1.537
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=11.62
x[1] = 1.5
y[1] (analytic) = 1.6022898403337910281804100235941
y[1] (numeric) = 1.6022898403337910281804100235948
absolute error = 7e-31
relative error = 4.3687476658665895458399865377442e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.014
Order of pole = 1.525
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 1.6032898070309540826632779246694
y[1] (numeric) = 1.6032898070309540826632779246701
absolute error = 7e-31
relative error = 4.3660228919953794520016001560969e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.014
Order of pole = 1.512
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 1.6042897739273326074189314768401
y[1] (numeric) = 1.6042897739273326074189314768408
absolute error = 7e-31
relative error = 4.3633015143292122886094838708735e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.015
Order of pole = 1.5
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 1.6052897410217349276753653655398
y[1] (numeric) = 1.6052897410217349276753653655404
absolute error = 6e-31
relative error = 3.7376430227362691401044051172815e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.015
Order of pole = 1.487
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 1.6062897083129764968327424535339
y[1] (numeric) = 1.6062897083129764968327424535345
absolute error = 6e-31
relative error = 3.7353162190782920805406488989143e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.015
Order of pole = 1.474
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 1.6072896757998798538280076385639
y[1] (numeric) = 1.6072896757998798538280076385646
absolute error = 7e-31
relative error = 4.3551576952153301795790102700829e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.015
Order of pole = 1.462
TOP MAIN SOLVE Loop
x[1] = 1.506
y[1] (analytic) = 1.6082896434812745807544813764783
y[1] (numeric) = 1.608289643481274580754481376479
absolute error = 7e-31
relative error = 4.3524498391023192881626492958178e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.015
Order of pole = 1.449
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 1.6092896113559972607349083684381
y[1] (numeric) = 1.6092896113559972607349083684387
absolute error = 6e-31
relative error = 3.7283531551193966476958396808896e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.016
Order of pole = 1.436
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 1.6102895794228914360464460209118
y[1] (numeric) = 1.6102895794228914360464460209124
absolute error = 6e-31
relative error = 3.7260378981961296555520696729191e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.016
Order of pole = 1.423
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 1.6112895476808075664960863429172
y[1] (numeric) = 1.6112895476808075664960863429178
absolute error = 6e-31
relative error = 3.7237255145333972021051849178236e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.016
Order of pole = 1.41
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 1.6122895161286029880450139466511
y[1] (numeric) = 1.6122895161286029880450139466517
absolute error = 6e-31
relative error = 3.7214159987885294807048011018756e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.016
Order of pole = 1.397
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 1.6132894847651418716804117655935
y[1] (numeric) = 1.6132894847651418716804117655942
absolute error = 7e-31
relative error = 4.3389609032374250158744520875577e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.016
Order of pole = 1.384
TOP MAIN SOLVE Loop
x[1] = 1.512
y[1] (analytic) = 1.6142894535892951825332349987019
y[1] (numeric) = 1.6142894535892951825332349987025
absolute error = 6e-31
relative error = 3.7168055497477777271464601879491e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.017
Order of pole = 1.371
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 1.6152894225999406392404826307365
y[1] (numeric) = 1.6152894225999406392404826307372
absolute error = 7e-31
relative error = 4.3335887068045840400695209840414e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.017
Order of pole = 1.358
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=12.01
x[1] = 1.514
y[1] (analytic) = 1.6162893917959626735505046674083
y[1] (numeric) = 1.616289391795962673550504667409
absolute error = 7e-31
relative error = 4.3309075933622577450223426132091e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.017
Order of pole = 1.345
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 1.6172893611762523901698919602106
y[1] (numeric) = 1.6172893611762523901698919602113
absolute error = 7e-31
relative error = 4.3282297948889674007113426296118e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.017
Order of pole = 1.332
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 1.6182893307397075268505041798236
y[1] (numeric) = 1.6182893307397075268505041798244
absolute error = 8e-31
relative error = 4.9434917774210758241346452690575e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.017
Order of pole = 1.318
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 1.6192893004852324147152001291515
y[1] (numeric) = 1.6192893004852324147152001291523
absolute error = 8e-31
relative error = 4.9404389923423435565174144708208e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.018
Order of pole = 1.305
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 1.6202892704117379388208431676918
y[1] (numeric) = 1.6202892704117379388208431676926
absolute error = 8e-31
relative error = 4.9373899747957284371962248290515e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.018
Order of pole = 1.292
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 1.6212892405181414989571630483488
y[1] (numeric) = 1.6212892405181414989571630483497
absolute error = 9e-31
relative error = 5.5511378075411918082444235515314e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.018
Order of pole = 1.278
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 1.6222892108033669706800639462863
y[1] (numeric) = 1.6222892108033669706800639462872
absolute error = 9e-31
relative error = 5.5477161162547263132517974761401e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.018
Order of pole = 1.265
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 1.6232891812663446665779768872802
y[1] (numeric) = 1.6232891812663446665779768872811
absolute error = 9e-31
relative error = 5.5442986399866270206627041590710e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.018
Order of pole = 1.252
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 1.6242891519060112977698631605808
y[1] (numeric) = 1.6242891519060112977698631605816
absolute error = 8e-31
relative error = 4.9252314408505734521513398446490e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.019
Order of pole = 1.238
TOP MAIN SOLVE Loop
x[1] = 1.523
y[1] (analytic) = 1.6252891227213099356334836288175
y[1] (numeric) = 1.6252891227213099356334836288184
absolute error = 9e-31
relative error = 5.5374763014046452994483736589311e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.019
Order of pole = 1.225
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 1.6262890937111899737625571252902
y[1] (numeric) = 1.626289093711189973762557125291
absolute error = 8e-31
relative error = 4.9191745987449307367304315030774e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.019
Order of pole = 1.211
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 1.6272890648746070901514393573672
y[1] (numeric) = 1.6272890648746070901514393573681
absolute error = 9e-31
relative error = 5.5306707297842666301096982076981e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.019
Order of pole = 1.198
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 1.6282890362105232096059619139685
y[1] (numeric) = 1.6282890362105232096059619139694
absolute error = 9e-31
relative error = 5.5272742122894086062350473277986e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.019
Order of pole = 1.184
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 1.6292890077179064663790791055198
y[1] (numeric) = 1.6292890077179064663790791055206
absolute error = 8e-31
relative error = 4.9101172119275184570603435831364e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.019
Order of pole = 1.171
memory used=122.0MB, alloc=4.4MB, time=12.40
TOP MAIN SOLVE Loop
x[1] = 1.528
y[1] (analytic) = 1.6302889793957311670299784466364
y[1] (numeric) = 1.6302889793957311670299784466372
absolute error = 8e-31
relative error = 4.9071054893379766986482640164948e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.02
Order of pole = 1.157
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 1.6312889512429777535053186254051
y[1] (numeric) = 1.6312889512429777535053186254059
absolute error = 8e-31
relative error = 4.9040974585798033867411004215682e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.02
Order of pole = 1.144
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 1.6322889232586327664412667887727
y[1] (numeric) = 1.6322889232586327664412667887735
absolute error = 8e-31
relative error = 4.9010931128719157090253050850747e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.02
Order of pole = 1.13
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 1.63328889544168880868501491151
y[1] (numeric) = 1.6332888954416888086850149115108
absolute error = 8e-31
relative error = 4.8980924454498096510600484969983e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.02
Order of pole = 1.117
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 1.6342888677911445090344629067786
y[1] (numeric) = 1.6342888677911445090344629067794
absolute error = 8e-31
relative error = 4.8950954495655094699220401217681e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.02
Order of pole = 1.103
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 1.6352888403060044861947639797691
y[1] (numeric) = 1.63528884030600448619476397977
absolute error = 9e-31
relative error = 5.5036148832984570208541261352660e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.021
Order of pole = 1.09
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 1.6362888129852793129504355224881
y[1] (numeric) = 1.636288812985279312950435522489
absolute error = 9e-31
relative error = 5.5002515011883586599102972952469e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.021
Order of pole = 1.076
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 1.637288785827985480551746597818
y[1] (numeric) = 1.6372887858279854805517465978189
absolute error = 9e-31
relative error = 5.4968922268948742893717964465342e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.021
Order of pole = 1.063
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 1.6382887588331453633141007647479
y[1] (numeric) = 1.6382887588331453633141007647487
absolute error = 8e-31
relative error = 4.8831440470225281121219336764225e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.021
Order of pole = 1.049
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 1.6392887319997871834291406544379
y[1] (numeric) = 1.6392887319997871834291406544387
absolute error = 8e-31
relative error = 4.8801653081825969508622927334418e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.021
Order of pole = 1.036
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 1.6402887053269449759863083188204
y[1] (numeric) = 1.6402887053269449759863083188212
absolute error = 8e-31
relative error = 4.8771902007369045237310309354689e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.022
Order of pole = 1.022
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 1.6412886788136585542036029400207
y[1] (numeric) = 1.6412886788136585542036029400214
absolute error = 7e-31
relative error = 4.2649413782953019093287884484056e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.022
Order of pole = 1.008
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 1.6422886524589734748662850102779
y[1] (numeric) = 1.6422886524589734748662850102786
absolute error = 7e-31
relative error = 4.2623444968209504106205693296231e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.022
Order of pole = 0.9949
TOP MAIN SOLVE Loop
x[1] = 1.541
memory used=125.8MB, alloc=4.4MB, time=12.78
y[1] (analytic) = 1.6432886262619410039722835685273
y[1] (numeric) = 1.6432886262619410039722835685279
absolute error = 6e-31
relative error = 3.6512149503818187385046592936465e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.022
Order of pole = 0.9813
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 1.6442886002216180825830705116342
y[1] (numeric) = 1.6442886002216180825830705116348
absolute error = 6e-31
relative error = 3.6489944643484828900807624482785e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.022
Order of pole = 0.9678
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 1.6452885743370672928787733857239
y[1] (numeric) = 1.6452885743370672928787733857245
absolute error = 6e-31
relative error = 3.6467766771051501009905623818469e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.023
Order of pole = 0.9543
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 1.6462885486073568244163054063789
y[1] (numeric) = 1.6462885486073568244163054063795
absolute error = 6e-31
relative error = 3.6445615837366868752050780322883e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.023
Order of pole = 0.9408
TOP MAIN SOLVE Loop
x[1] = 1.545
y[1] (analytic) = 1.6472885230315604405892987559572
y[1] (numeric) = 1.6472885230315604405892987559578
absolute error = 6e-31
relative error = 3.6423491793398756382399458841887e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.023
Order of pole = 0.9274
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 1.6482884976087574452886344621657
y[1] (numeric) = 1.6482884976087574452886344621663
absolute error = 6e-31
relative error = 3.6401394590233787225359591153164e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.023
Order of pole = 0.9139
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 1.649288472338032649762369374577
y[1] (numeric) = 1.6492884723380326497623693745775
absolute error = 5e-31
relative error = 3.0316103482564187357830894717662e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.024
Order of pole = 0.9005
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 1.6502884472184763396738679252523
y[1] (numeric) = 1.6502884472184763396738679252528
absolute error = 5e-31
relative error = 3.0297733759376346181158279643987e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.024
Order of pole = 0.8871
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 1.6512884222491842423569534862935
y[1] (numeric) = 1.651288422249184242356953486294
absolute error = 5e-31
relative error = 3.0279386281832026355919157316691e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.024
Order of pole = 0.8737
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 1.6522883974292574942669012212406
y[1] (numeric) = 1.6522883974292574942669012212411
absolute error = 5e-31
relative error = 3.0261061009563097946984566521115e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.024
Order of pole = 0.8603
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 1.6532883727578026086261013690207
y[1] (numeric) = 1.6532883727578026086261013690212
absolute error = 5e-31
relative error = 3.0242757902298945806406613707595e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.025
Order of pole = 0.847
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 1.6542883482339314432632288988822
y[1] (numeric) = 1.6542883482339314432632288988827
absolute error = 5e-31
relative error = 3.0224476919866175888859947606015e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.025
Order of pole = 0.8337
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 1.6552883238567611686447624326738
y[1] (numeric) = 1.6552883238567611686447624326743
absolute error = 5e-31
relative error = 3.0206218022188322624306610407096e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.025
Order of pole = 0.8204
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 1.6562882996254142360977022471962
y[1] (numeric) = 1.6562882996254142360977022471967
absolute error = 5e-31
relative error = 3.0187981169285557343467927795610e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.025
Order of pole = 0.8072
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=13.18
x[1] = 1.555
y[1] (analytic) = 1.6572882755390183462223440444109
y[1] (numeric) = 1.6572882755390183462223440444114
absolute error = 5e-31
relative error = 3.0169766321274397751708043459684e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.026
Order of pole = 0.794
TOP MAIN SOLVE Loop
x[1] = 1.556
y[1] (analytic) = 1.658288251596706417493972011291
y[1] (numeric) = 1.6582882515967064174939720112915
absolute error = 5e-31
relative error = 3.0151573438367418446954536153220e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.026
Order of pole = 0.7808
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 1.6592882277976165550523414842743
y[1] (numeric) = 1.6592882277976165550523414842748
absolute error = 5e-31
relative error = 3.0133402480872962477302279602160e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.026
Order of pole = 0.7677
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 1.6602882041408920196778282858866
y[1] (numeric) = 1.6602882041408920196778282858871
absolute error = 5e-31
relative error = 3.0115253409194853933967318162936e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.026
Order of pole = 0.7546
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 1.6612881806256811969531285133749
y[1] (numeric) = 1.6612881806256811969531285133754
absolute error = 5e-31
relative error = 3.0097126183832111575278034801838e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.027
Order of pole = 0.7415
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 1.662288157251137566609399231371
y[1] (numeric) = 1.6622881572511375666093992313715
absolute error = 5e-31
relative error = 3.0079020765378663477411283302030e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.027
Order of pole = 0.7285
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 1.6632881340164196720557371529357
y[1] (numeric) = 1.6632881340164196720557371529362
absolute error = 5e-31
relative error = 3.0060937114523062707601444251368e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.027
Order of pole = 0.7155
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 1.6642881109206910900908989860466
y[1] (numeric) = 1.6642881109206910900908989860471
absolute error = 5e-31
relative error = 3.0042875192048204015570544945779e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.028
Order of pole = 0.7026
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 1.6652880879631204007961736759281
y[1] (numeric) = 1.6652880879631204007961736759287
absolute error = 6e-31
relative error = 3.6029801950597249846737188979087e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.028
Order of pole = 0.6897
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 1.666288065142881157608323287814
y[1] (numeric) = 1.6662880651428811576083232878146
absolute error = 6e-31
relative error = 3.6008179651010769022158909161457e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.028
Order of pole = 0.6769
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 1.6672880424591518575715157500124
y[1] (numeric) = 1.6672880424591518575715157500131
absolute error = 7e-31
relative error = 4.1984347165804724826241726285596e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.028
Order of pole = 0.6641
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 1.6682880199111159117671791137491
y[1] (numeric) = 1.6682880199111159117671791137498
absolute error = 7e-31
relative error = 4.1959181606860369110677383093489e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.029
Order of pole = 0.6513
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 1.6692879974979616159207133844164
y[1] (numeric) = 1.669287997497961615920713384417
absolute error = 6e-31
relative error = 3.5943468167225749547909523165180e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.029
Order of pole = 0.6386
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 1.6702879752188821211840023387955
y[1] (numeric) = 1.6702879752188821211840023387961
absolute error = 6e-31
relative error = 3.5921949322623440149714270346859e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.029
Order of pole = 0.626
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.4MB, time=13.57
x[1] = 1.569
y[1] (analytic) = 1.6712879530730754050926740647659
y[1] (numeric) = 1.6712879530730754050926740647665
absolute error = 6e-31
relative error = 3.5900456225795914426894783522989e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.03
Order of pole = 0.6134
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 1.6722879310597442426970652441971
y[1] (numeric) = 1.6722879310597442426970652441978
absolute error = 7e-31
relative error = 4.1858820302338937636478236682299e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.03
Order of pole = 0.6009
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 1.6732879091780961778658504463664
y[1] (numeric) = 1.6732879091780961778658504463671
absolute error = 7e-31
relative error = 4.1833804939392267630799393860687e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.03
Order of pole = 0.5884
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 1.6742878874273434947613039085727
y[1] (numeric) = 1.6742878874273434947613039085734
absolute error = 7e-31
relative error = 4.1808819454317221004028973022359e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.031
Order of pole = 0.576
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 1.675287865806703189485167452859
y[1] (numeric) = 1.6752878658067031894851674528597
absolute error = 7e-31
relative error = 4.1783863793636936425047927336570e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.031
Order of pole = 0.5637
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 1.6762878443153969418941043231203
y[1] (numeric) = 1.6762878443153969418941043231211
absolute error = 8e-31
relative error = 4.7724500461716549023039285756152e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.032
Order of pole = 0.5514
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 1.6772878229526510875837248255946
y[1] (numeric) = 1.6772878229526510875837248255953
absolute error = 7e-31
relative error = 4.1734041732189968618614740811908e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.032
Order of pole = 0.5392
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 1.6782878017176965900401757180152
y[1] (numeric) = 1.6782878017176965900401757180159
absolute error = 7e-31
relative error = 4.1709175225105188718197581418965e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.032
Order of pole = 0.527
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 1.6792877806097690129582913187792
y[1] (numeric) = 1.6792877806097690129582913187798
absolute error = 6e-31
relative error = 3.5729432854095620820273323140547e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.033
Order of pole = 0.5149
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 1.6802877596281084927253102975514
y[1] (numeric) = 1.6802877596281084927253102975521
absolute error = 7e-31
relative error = 4.1659530993365580294103539045133e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.033
Order of pole = 0.5029
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 1.6812877387719597110691680630183
y[1] (numeric) = 1.681287738771959711069168063019
absolute error = 7e-31
relative error = 4.1634753163149309768973719684830e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.033
Order of pole = 0.491
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 1.6822877180405718678703805822169
y[1] (numeric) = 1.6822877180405718678703805822176
absolute error = 7e-31
relative error = 4.1610004786536641875260205509660e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.034
Order of pole = 0.4791
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 1.6832876974331986541365413492289
y[1] (numeric) = 1.6832876974331986541365413492296
absolute error = 7e-31
relative error = 4.1585285811059611252398743730013e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.034
Order of pole = 0.4673
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 1.6842876769490982251384590692367
y[1] (numeric) = 1.6842876769490982251384590692374
absolute error = 7e-31
relative error = 4.1560596184374688689293579302692e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.035
Order of pole = 0.4555
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=13.96
x[1] = 1.583
y[1] (analytic) = 1.6852876565875331737069694372171
y[1] (numeric) = 1.6852876565875331737069694372178
absolute error = 7e-31
relative error = 4.1535935854262413101455779998125e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.035
Order of pole = 0.4438
TOP MAIN SOLVE Loop
x[1] = 1.584
y[1] (analytic) = 1.6862876363477705036894601690894
y[1] (numeric) = 1.6862876363477705036894601690901
absolute error = 7e-31
relative error = 4.1511304768627024809549092701579e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.036
Order of pole = 0.4323
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 1.68728761622908160356515418716
y[1] (numeric) = 1.6872876162290816035651541871608
absolute error = 8e-31
relative error = 4.7413374714852685844572696472861e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.036
Order of pole = 0.4207
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 1.6882875962307422202182015714132
y[1] (numeric) = 1.6882875962307422202182015714139
absolute error = 7e-31
relative error = 4.1462130123020187160362426167361e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.036
Order of pole = 0.4093
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 1.6892875763520324328676365637901
y[1] (numeric) = 1.6892875763520324328676365637909
absolute error = 8e-31
relative error = 4.7357241667968506388710003609949e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.037
Order of pole = 0.3979
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 1.6902875565922366271532615542921
y[1] (numeric) = 1.6902875565922366271532615542929
absolute error = 8e-31
relative error = 4.7329224952283739967663520629373e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.037
Order of pole = 0.3866
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 1.69128753695064346937652558572
y[1] (numeric) = 1.6912875369506434693765255857208
absolute error = 8e-31
relative error = 4.7301241363274248007348025573304e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.038
Order of pole = 0.3754
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 1.6922875174265458808954704883457
y[1] (numeric) = 1.6922875174265458808954704883465
absolute error = 8e-31
relative error = 4.7273290842241538861902687424589e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.038
Order of pole = 0.3643
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 1.6932874980192410126728232969829
y[1] (numeric) = 1.6932874980192410126728232969837
absolute error = 8e-31
relative error = 4.7245373330625601284049145555486e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.039
Order of pole = 0.3533
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 1.6942874787280302199763191109924
y[1] (numeric) = 1.6942874787280302199763191109931
absolute error = 7e-31
relative error = 4.1315302673753934871516956148192e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.039
Order of pole = 0.3423
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 1.6952874595522190372303440329191
y[1] (numeric) = 1.6952874595522190372303440329199
absolute error = 8e-31
relative error = 4.7189637102093954693870211856115e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.04
Order of pole = 0.3314
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 1.6962874404911171530179932639056
y[1] (numeric) = 1.6962874404911171530179932639064
absolute error = 8e-31
relative error = 4.7161818268746965479329969214430e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.04
Order of pole = 0.3206
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 1.6972874215440383852326448439572
y[1] (numeric) = 1.697287421544038385232644843958
absolute error = 8e-31
relative error = 4.7134032211953379713349926509845e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.041
Order of pole = 0.3099
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 1.6982874027103006563781549027467
y[1] (numeric) = 1.6982874027103006563781549027475
absolute error = 8e-31
relative error = 4.7106278873839505285560251627336e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.041
Order of pole = 0.2993
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=14.35
x[1] = 1.597
y[1] (analytic) = 1.6992873839892259690167856321226
y[1] (numeric) = 1.6992873839892259690167856321234
absolute error = 8e-31
relative error = 4.7078558196667707293856986945259e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.042
Order of pole = 0.2888
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 1.7002873653801403813639825050293
y[1] (numeric) = 1.7002873653801403813639825050301
absolute error = 8e-31
relative error = 4.7050870122836009128373373002335e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.043
Order of pole = 0.2784
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 1.7012873468823739830291225473403
y[1] (numeric) = 1.7012873468823739830291225473411
absolute error = 8e-31
relative error = 4.7023214594877694954115412031252e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.043
Order of pole = 0.268
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 1.7022873284952608709013607193432
y[1] (numeric) = 1.702287328495260870901360719344
absolute error = 8e-31
relative error = 4.6995591555460913586568033522794e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.044
Order of pole = 0.2578
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 1.703287310218139125179706682482
y[1] (numeric) = 1.7032873102181391251797066824828
absolute error = 8e-31
relative error = 4.6968000947388283754604550604826e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.044
Order of pole = 0.2476
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 1.7042872920503507855464694146466
y[1] (numeric) = 1.7042872920503507855464694146474
absolute error = 8e-31
relative error = 4.6940442713596500745058286664313e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.045
Order of pole = 0.2375
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 1.7052872739912418274832122939874
y[1] (numeric) = 1.7052872739912418274832122939882
absolute error = 8e-31
relative error = 4.6912916797155944423341307082342e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.045
Order of pole = 0.2276
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 1.7062872560401621387283663971114
y[1] (numeric) = 1.7062872560401621387283663971122
absolute error = 8e-31
relative error = 4.6885423141270288624521111961298e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.046
Order of pole = 0.2177
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 1.707287238196465495875654852765
y[1] (numeric) = 1.7072872381964654958756548527658
absolute error = 8e-31
relative error = 4.6857961689276111909291933064971e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.047
Order of pole = 0.2079
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 1.7082872204595095411124861569133
y[1] (numeric) = 1.7082872204595095411124861569141
absolute error = 8e-31
relative error = 4.6830532384642509679302932626296e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.047
Order of pole = 0.1982
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 1.7092872028286557590974793896692
y[1] (numeric) = 1.70928720282865575909747938967
absolute error = 8e-31
relative error = 4.6803135170970707646331123959057e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.048
Order of pole = 0.1886
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 1.7102871853032694539762892789851
y[1] (numeric) = 1.7102871853032694539762892789859
absolute error = 8e-31
relative error = 4.6775769991993676649812224689911e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.049
Order of pole = 0.1792
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 1.7112871678827197265349040305765
y[1] (numeric) = 1.7112871678827197265349040305774
absolute error = 9e-31
relative error = 5.2591991390522717419426402858027e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.049
Order of pole = 0.1698
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 1.7122871505663794514895937883811
y[1] (numeric) = 1.7122871505663794514895937883819
absolute error = 8e-31
relative error = 4.6721135513712235062193092788127e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.05
Order of pole = 0.1605
memory used=144.9MB, alloc=4.4MB, time=14.74
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 1.7132871333536252549126925051409
y[1] (numeric) = 1.7132871333536252549126925051418
absolute error = 9e-31
relative error = 5.2530599365345174403240726125660e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.051
Order of pole = 0.1513
TOP MAIN SOLVE Loop
x[1] = 1.612
y[1] (analytic) = 1.7142871162438374917934008886144
y[1] (numeric) = 1.7142871162438374917934008886152
absolute error = 8e-31
relative error = 4.6666628502282301674574943992998e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.051
Order of pole = 0.1422
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 1.7152870992364002237328029456401
y[1] (numeric) = 1.7152870992364002237328029456409
absolute error = 8e-31
relative error = 4.6639422657357973896258993593603e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.052
Order of pole = 0.1332
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 1.7162870823307011967722934739794
y[1] (numeric) = 1.7162870823307011967722934739802
absolute error = 8e-31
relative error = 4.6612248512271488175626939112560e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.053
Order of pole = 0.1244
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 1.7172870655261318193546186507118
y[1] (numeric) = 1.7172870655261318193546186507126
absolute error = 8e-31
relative error = 4.6585106011667358258040376108958e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.053
Order of pole = 0.1156
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 1.7182870488220871404167366361364
y[1] (numeric) = 1.7182870488220871404167366361372
absolute error = 8e-31
relative error = 4.6557995100318809447513495189732e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.054
Order of pole = 0.1069
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 1.7192870322179658276137098538026
y[1] (numeric) = 1.7192870322179658276137098538034
absolute error = 8e-31
relative error = 4.6530915723127405316685219195001e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.055
Order of pole = 0.09835
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 1.7202870157131701456728453206322
y[1] (numeric) = 1.720287015713170145672845320633
absolute error = 8e-31
relative error = 4.6503867825122675711649498710250e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.056
Order of pole = 0.08989
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 1.7212869993071059348773040862662
y[1] (numeric) = 1.721286999307105934877304086267
absolute error = 8e-31
relative error = 4.6476851351461746046427813986944e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.056
Order of pole = 0.08154
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 1.7222869829991825896784054979461
y[1] (numeric) = 1.7222869829991825896784054979469
absolute error = 8e-31
relative error = 4.6449866247428967881891802301886e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.057
Order of pole = 0.0733
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 1.7232869667888130374358566365845
y[1] (numeric) = 1.7232869667888130374358566365853
absolute error = 8e-31
relative error = 4.6422912458435550783967678678967e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.058
Order of pole = 0.06516
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 1.7242869506754137172851418713626
y[1] (numeric) = 1.7242869506754137172851418713633
absolute error = 7e-31
relative error = 4.0596491188766796023980527245156e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.059
Order of pole = 0.05714
TOP MAIN SOLVE Loop
x[1] = 1.623
y[1] (analytic) = 1.7252869346584045591313120543736
y[1] (numeric) = 1.7252869346584045591313120543743
absolute error = 7e-31
relative error = 4.0572961281863262122498068663860e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.06
Order of pole = 0.04922
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=15.13
x[1] = 1.624
y[1] (analytic) = 1.7262869187372089627684174236831
y[1] (numeric) = 1.7262869187372089627684174236838
absolute error = 7e-31
relative error = 4.0549458632986394246866007243091e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.06
Order of pole = 0.04141
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 1.7272869029112537771238328028514
y[1] (numeric) = 1.7272869029112537771238328028521
absolute error = 7e-31
relative error = 4.0525983194811804774555495360132e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.061
Order of pole = 0.03371
TOP MAIN SOLVE Loop
x[1] = 1.626
y[1] (analytic) = 1.7282868871799692796267281776344
y[1] (numeric) = 1.7282868871799692796267281776351
absolute error = 7e-31
relative error = 4.0502534920124512850839438748773e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.062
Order of pole = 0.02612
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 1.7292868715427891556999421963988
y[1] (numeric) = 1.7292868715427891556999421963995
absolute error = 7e-31
relative error = 4.0479113761818628887133068026612e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.063
Order of pole = 0.01865
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 1.7302868559991504783745205799215
y[1] (numeric) = 1.7302868559991504783745205799222
absolute error = 7e-31
relative error = 4.0455719672897040147623047797287e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.064
Order of pole = 0.01128
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 1.7312868405484936880261858388468
y[1] (numeric) = 1.7312868405484936880261858388474
absolute error = 6e-31
relative error = 3.4656302234118083502707401511109e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.064
Order of pole = 0.004032
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 1.7322868251902625722330090833116
y[1] (numeric) = 1.7322868251902625722330090833123
absolute error = 7e-31
relative error = 4.0409012515760302764731578037984e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 1.7332868099239042457535590692716
y[1] (numeric) = 1.7332868099239042457535590692722
absolute error = 6e-31
relative error = 3.4616313732078855721906734574491e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 1.7342867947488691306248079600256
y[1] (numeric) = 1.7342867947488691306248079600263
absolute error = 7e-31
relative error = 4.0362413074901056307460681818414e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 1.7352867796646109363790775895067
y[1] (numeric) = 1.7352867796646109363790775895073
absolute error = 6e-31
relative error = 3.4576417398625345520520316854806e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 1.7362867646705866403793142962232
y[1] (numeric) = 1.7362867646705866403793142962238
absolute error = 6e-31
relative error = 3.4556503695622752719145291870277e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 1.7372867497662564682719846534679
y[1] (numeric) = 1.7372867497662564682719846534685
absolute error = 6e-31
relative error = 3.4536612915555080286432411638955e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 1.7382867349510838745568886526971
y[1] (numeric) = 1.7382867349510838745568886526977
absolute error = 6e-31
relative error = 3.4516745018875395968106031493374e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 1.7392867202245355232731911029887
y[1] (numeric) = 1.7392867202245355232731911029894
absolute error = 7e-31
relative error = 4.0246383293815557487422031998658e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.4MB, time=15.52
x[1] = 1.638
y[1] (analytic) = 1.7402867055860812688009761903502
y[1] (numeric) = 1.7402867055860812688009761903508
absolute error = 6e-31
relative error = 3.4477077717946268253837051740848e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 1.7412866910351941367776342965285
y[1] (numeric) = 1.7412866910351941367776342965292
absolute error = 7e-31
relative error = 4.0200157940898883343584633873855e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 1.7422866765713503051283943080181
y[1] (numeric) = 1.7422866765713503051283943080187
absolute error = 6e-31
relative error = 3.4437501478272294967908940276405e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 1.7432866621940290852103187523115
y[1] (numeric) = 1.7432866621940290852103187523121
absolute error = 6e-31
relative error = 3.4417747408499334893281627789578e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 1.7442866479027129030690831802566
y[1] (numeric) = 1.7442866479027129030690831802572
absolute error = 6e-31
relative error = 3.4398015986731604629890157820960e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 1.7452866336968872808078652707947
y[1] (numeric) = 1.7452866336968872808078652707953
absolute error = 6e-31
relative error = 3.4378307174052707590236200242631e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 1.7462866195760408180676731675267
y[1] (numeric) = 1.7462866195760408180676731675273
absolute error = 6e-31
relative error = 3.4358620931635296399682098849067e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 1.747286605539665173618446565616
y[1] (numeric) = 1.7472866055396651736184465656166
absolute error = 6e-31
relative error = 3.4338957220740818699055096761651e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 1.7482865915872550470602680526409
y[1] (numeric) = 1.7482865915872550470602680526415
absolute error = 6e-31
relative error = 3.4319316002719263815337978678615e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 1.7492865777183081606340261682944
y[1] (numeric) = 1.749286577718308160634026168295
absolute error = 6e-31
relative error = 3.4299697239008910297002481261736e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 1.7502865639323252411408755854407
y[1] (numeric) = 1.7502865639323252411408755854413
absolute error = 6e-31
relative error = 3.4280100891136074310557348129862e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.649
y[1] (analytic) = 1.7512865502288100019698437291143
y[1] (numeric) = 1.7512865502288100019698437291149
absolute error = 6e-31
relative error = 3.4260526920714858894898352885390e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 1.7522865366072691252329370407299
y[1] (numeric) = 1.7522865366072691252329370407306
absolute error = 7e-31
relative error = 3.9947804504354721415073479895613e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 1.7532865230672122440071039622047
y[1] (numeric) = 1.7532865230672122440071039622053
absolute error = 6e-31
relative error = 3.4221445959121137797007767339204e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=15.90
x[1] = 1.652
y[1] (analytic) = 1.754286509608151924682415559004
y[1] (numeric) = 1.7542865096081519246824155590046
absolute error = 6e-31
relative error = 3.4201938891613527785041451496084e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 1.755286496229603649415828522467
y[1] (numeric) = 1.7552864962296036494158285224676
absolute error = 6e-31
relative error = 3.4182454048886834143562350479756e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 1.7562864829310857986898990902615
y[1] (numeric) = 1.7562864829310857986898990902621
absolute error = 6e-31
relative error = 3.4162991392990362874763286878049e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 1.7572864697121196339758201996169
y[1] (numeric) = 1.7572864697121196339758201996176
absolute error = 7e-31
relative error = 3.9834142700403006904646245636966e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 1.7582864565722292805001579412116
y[1] (numeric) = 1.7582864565722292805001579412123
absolute error = 7e-31
relative error = 3.9811487905369329035126099432814e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 1.7592864435109417101146671123855
y[1] (numeric) = 1.7592864435109417101146671123862
absolute error = 7e-31
relative error = 3.9788858862746441574868205981177e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 1.7602864305277867242685693768472
y[1] (numeric) = 1.7602864305277867242685693768478
absolute error = 6e-31
relative error = 3.4085361881708193652861638289069e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 1.7612864176222969370826812243747
y[1] (numeric) = 1.7612864176222969370826812243753
absolute error = 6e-31
relative error = 3.4066009593714380283670981897915e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 1.7622864047940077585247825883078
y[1] (numeric) = 1.7622864047940077585247825883084
absolute error = 6e-31
relative error = 3.4046679266650389768469629174574e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 1.7632863920424573776856206210249
y[1] (numeric) = 1.7632863920424573776856206210255
absolute error = 6e-31
relative error = 3.4027370863164517102230289055234e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.662
y[1] (analytic) = 1.7642863793671867461549467482239
y[1] (numeric) = 1.7642863793671867461549467482245
absolute error = 6e-31
relative error = 3.4008084345989660993711654193608e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 1.7652863667677395614969887218101
y[1] (numeric) = 1.7652863667677395614969887218107
absolute error = 6e-31
relative error = 3.3988819677943084779172737722871e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 1.7662863542436622508247629686681
y[1] (numeric) = 1.7662863542436622508247629686687
absolute error = 6e-31
relative error = 3.3969576821926178144500780690150e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 1.7672863417945039544726360886821
y[1] (numeric) = 1.7672863417945039544726360886827
absolute error = 6e-31
relative error = 3.3950355740924219652576913411966e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=16.29
x[1] = 1.666
y[1] (analytic) = 1.7682863294198165097665478902067
y[1] (numeric) = 1.7682863294198165097665478902073
absolute error = 6e-31
relative error = 3.3931156398006140072717935583237e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 1.769286317119154434891311864892
y[1] (numeric) = 1.7692863171191544348913118648925
absolute error = 5e-31
relative error = 2.8259982296936905424205575641475e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.668
y[1] (analytic) = 1.7702863048920749128544124964736
y[1] (numeric) = 1.7702863048920749128544124964742
absolute error = 6e-31
relative error = 3.3892822779114187324657551313894e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 1.7712862927381377755457222699636
y[1] (numeric) = 1.7712862927381377755457222699641
absolute error = 5e-31
relative error = 2.8228073691411931548714583394180e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 1.7722862806569054878925646987508
y[1] (numeric) = 1.7722862806569054878925646987513
absolute error = 5e-31
relative error = 2.8212146392888222442980996813476e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 1.7732862686479431321095531175694
y[1] (numeric) = 1.7732862686479431321095531175699
absolute error = 5e-31
relative error = 2.8196237056593753450216869589245e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 1.7742862567108183920426383992311
y[1] (numeric) = 1.7742862567108183920426383992316
absolute error = 5e-31
relative error = 2.8180345652166789943460536070455e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 1.775286244845101537606802142578
y[1] (numeric) = 1.7752862448451015376068021425784
absolute error = 4e-31
relative error = 2.2531577719451156308618737526439e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 1.7762862330503654093168352484095
y[1] (numeric) = 1.7762862330503654093168352484099
absolute error = 4e-31
relative error = 2.2518893214247991486799017574717e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 1.7772862213261854029106451492955
y[1] (numeric) = 1.7772862213261854029106451492959
absolute error = 4e-31
relative error = 2.2506222981998124987781650083526e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 1.7782862096721394540645382883251
y[1] (numeric) = 1.7782862096721394540645382883255
absolute error = 4e-31
relative error = 2.2493566998629963596358712585554e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 1.7792861980878080231999277510799
y[1] (numeric) = 1.7792861980878080231999277510803
absolute error = 4e-31
relative error = 2.2480925240125981348706655050095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 1.7802861865727740803809192445777
y[1] (numeric) = 1.7802861865727740803809192445781
absolute error = 4e-31
relative error = 2.2468297682522568007595828781002e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 1.7812861751266230903022318867271
y[1] (numeric) = 1.7812861751266230903022318867275
absolute error = 4e-31
relative error = 2.2455684301909878045755817144883e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.4MB, time=16.68
x[1] = 1.68
y[1] (analytic) = 1.7822861637489429973669135200822
y[1] (numeric) = 1.7822861637489429973669135200826
absolute error = 4e-31
relative error = 2.2443085074431680135416333847996e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 1.7832861524393242108533134945073
y[1] (numeric) = 1.7832861524393242108533134945078
absolute error = 5e-31
relative error = 2.8038124970356508927565284485623e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 1.7842861411973595901707790748689
y[1] (numeric) = 1.7842861411973595901707790748694
absolute error = 5e-31
relative error = 2.8022411229651258275462326957779e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 1.7852861300226444302035448221818
y[1] (numeric) = 1.7852861300226444302035448221823
absolute error = 5e-31
relative error = 2.8006715091303489763226028465334e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 1.786286118914776446742287469866
y[1] (numeric) = 1.7862861189147764467422874698665
absolute error = 5e-31
relative error = 2.7991036525759116416271949302015e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 1.7872861078733557620028219710269
y[1] (numeric) = 1.7872861078733557620028219710275
absolute error = 6e-31
relative error = 3.3570450604236165268731218652507e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 1.7882860968979848902314175280781
y[1] (numeric) = 1.7882860968979848902314175280787
absolute error = 6e-31
relative error = 3.3551678394233346295655896781909e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 1.789286085988268723396215532684
y[1] (numeric) = 1.7892860859882687233962155326846
absolute error = 6e-31
relative error = 3.3532927165674826604511521185228e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 1.7902860751438145169642344420326
y[1] (numeric) = 1.7902860751438145169642344420332
absolute error = 6e-31
relative error = 3.3514196883411592174601430953192e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 1.7912860643642318757634496969572
y[1] (numeric) = 1.7912860643642318757634496969578
absolute error = 6e-31
relative error = 3.3495487512373052076486850707701e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 1.7922860536491327399294398485285
y[1] (numeric) = 1.7922860536491327399294398485291
absolute error = 6e-31
relative error = 3.3476799017566820138425565218588e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 1.7932860429981313709360931025419
y[1] (numeric) = 1.7932860429981313709360931025425
absolute error = 6e-31
relative error = 3.3458131364078497340254452651551e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 1.7942860324108443377098715159377
y[1] (numeric) = 1.7942860324108443377098715159383
absolute error = 6e-31
relative error = 3.3439484517071454931899216473737e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 1.7952860218868905028271330857244
y[1] (numeric) = 1.795286021886890502827133085725
absolute error = 6e-31
relative error = 3.3420858441786618273707056604902e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.4MB, time=17.07
x[1] = 1.694
y[1] (analytic) = 1.7962860114258910087940149595361
y[1] (numeric) = 1.7962860114258910087940149595367
absolute error = 6e-31
relative error = 3.3402253103542251395810359921589e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 1.7972860010274692644083839676469
y[1] (numeric) = 1.7972860010274692644083839676475
absolute error = 6e-31
relative error = 3.3383668467733742273741769030956e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.696
y[1] (analytic) = 1.7982859906912509312033636292031
y[1] (numeric) = 1.7982859906912509312033636292037
absolute error = 6e-31
relative error = 3.3365104499833388817533206659286e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 1.7992859804168639099719497207151
y[1] (numeric) = 1.7992859804168639099719497207157
absolute error = 6e-31
relative error = 3.3346561165390185571543591375564e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 1.8002859702039383273722294125864
y[1] (numeric) = 1.800285970203938327372229412587
absolute error = 6e-31
relative error = 3.3328038430029611122272079018533e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 1.8012859600521065226127218797509
y[1] (numeric) = 1.8012859600521065226127218797516
absolute error = 7e-31
relative error = 3.8861125636028985579996654013389e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 1.8022859499610030342173611754443
y[1] (numeric) = 1.802285949961003034217361175445
absolute error = 7e-31
relative error = 3.8839563722679314643442648730379e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 1.8032859399302645868696450228538
y[1] (numeric) = 1.8032859399302645868696450228545
absolute error = 7e-31
relative error = 3.8818025721814806064874825933749e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 1.8042859299595300783354760279826
y[1] (numeric) = 1.8042859299595300783354760279833
absolute error = 7e-31
relative error = 3.8796511593686313224785431419755e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 1.8052859200484405664642246486209
y[1] (numeric) = 1.8052859200484405664642246486217
absolute error = 8e-31
relative error = 4.4314310055580220621471643472554e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 1.8062859101966392562675460689494
y[1] (numeric) = 1.8062859101966392562675460689502
absolute error = 8e-31
relative error = 4.4289776910949214683280905658908e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 1.8072859004037714870754859271045
y[1] (numeric) = 1.8072859004037714870754859271053
absolute error = 8e-31
relative error = 4.4265270913764637757285661572011e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 1.8082858906694847197694126241163
y[1] (numeric) = 1.8082858906694847197694126241172
absolute error = 9e-31
relative error = 4.9770891021374473575017021063796e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 1.8092858809934285240913167070812
y[1] (numeric) = 1.809285880993428524091316707082
absolute error = 8e-31
relative error = 4.4216340181726409334796749100886e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=17.46
x[1] = 1.708
y[1] (analytic) = 1.8102858713752545660290205673576
y[1] (numeric) = 1.8102858713752545660290205673584
absolute error = 8e-31
relative error = 4.4191915357116976570974883054448e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 1.8112858618146165952768444260754
y[1] (numeric) = 1.8112858618146165952768444260762
absolute error = 8e-31
relative error = 4.4167517500441862761252795827122e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 1.8122858523111704327712772944134
y[1] (numeric) = 1.8122858523111704327712772944142
absolute error = 8e-31
relative error = 4.4143146567070346460354531679254e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 1.8132858428645739583012042950405
y[1] (numeric) = 1.8132858428645739583012042950412
absolute error = 7e-31
relative error = 3.8603952198411323746357825645502e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 1.8142858334744870981922444139143
y[1] (numeric) = 1.814285833474487098192244413915
absolute error = 7e-31
relative error = 3.8582674630680985245830695893056e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.713
y[1] (analytic) = 1.815285824140571813064755418397
y[1] (numeric) = 1.8152858241405718130647554183977
absolute error = 7e-31
relative error = 3.8561420504201189203674409236257e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 1.8162858148624920856650653284639
y[1] (numeric) = 1.8162858148624920856650653284646
absolute error = 7e-31
relative error = 3.8540189780262959943205042207659e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 1.8172858056399139087694924627557
y[1] (numeric) = 1.8172858056399139087694924627564
absolute error = 7e-31
relative error = 3.8518982420242460099796620820801e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 1.8182857964725052731607187004429
y[1] (numeric) = 1.8182857964725052731607187004435
absolute error = 6e-31
relative error = 3.2998112901943505942384289335035e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 1.8192857873599361556760832034294
y[1] (numeric) = 1.81928578735993615567608320343
absolute error = 6e-31
relative error = 3.2979975118185933775817090574963e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 1.8202857783018785073273664314206
y[1] (numeric) = 1.8202857783018785073273664314212
absolute error = 6e-31
relative error = 3.2961857261760973738202707351080e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 1.8212857692980062414916368548989
y[1] (numeric) = 1.8212857692980062414916368548996
absolute error = 7e-31
relative error = 3.8434385849827783466776471129679e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 1.8222857603479952221727353281964
y[1] (numeric) = 1.8222857603479952221727353281971
absolute error = 7e-31
relative error = 3.8413294733001895907369786742165e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 1.8232857514515232523329746267046
y[1] (numeric) = 1.8232857514515232523329746267053
absolute error = 7e-31
relative error = 3.8392226750125585176844979907961e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=17.84
x[1] = 1.722
y[1] (analytic) = 1.8242857426082700622946341789231
y[1] (numeric) = 1.8242857426082700622946341789238
absolute error = 7e-31
relative error = 3.8371181863164481618677368135154e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 1.8252857338179172982108325355964
y[1] (numeric) = 1.8252857338179172982108325355971
absolute error = 7e-31
relative error = 3.8350160034167505717802410809379e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.724
y[1] (analytic) = 1.8262857250801485106053626147279
y[1] (numeric) = 1.8262857250801485106053626147286
absolute error = 7e-31
relative error = 3.8329161225266640473270995508497e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 1.8272857163946491429810772428683
y[1] (numeric) = 1.8272857163946491429810772428689
absolute error = 6e-31
relative error = 3.2835587484580032441916327183249e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 1.8282857077611065204964149798496
y[1] (numeric) = 1.8282857077611065204964149798503
absolute error = 7e-31
relative error = 3.8287232516695125965769514718937e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 1.8292856991792098387096586661628
y[1] (numeric) = 1.8292856991792098387096586661634
absolute error = 6e-31
relative error = 3.2799687892887186028883147836201e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 1.8302856906486501523905215695396
y[1] (numeric) = 1.8302856906486501523905215695402
absolute error = 6e-31
relative error = 3.2781767516707242301969370387428e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 1.8312856821691203643986584300969
y[1] (numeric) = 1.8312856821691203643986584300975
absolute error = 6e-31
relative error = 3.2763866710807911467501492545226e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 1.832285673740315214628701111705
y[1] (numeric) = 1.8322856737403152146287011117056
absolute error = 6e-31
relative error = 3.2745985443154010165325959342101e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 1.8332856653619312690214209611552
y[1] (numeric) = 1.8332856653619312690214209611558
absolute error = 6e-31
relative error = 3.2728123681780203448633451743424e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 1.8342856570336669086406223562947
y[1] (numeric) = 1.8342856570336669086406223562953
absolute error = 6e-31
relative error = 3.2710281394790814713693489028680e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 1.8352856487552223188153742896699
y[1] (numeric) = 1.8352856487552223188153742896705
absolute error = 6e-31
relative error = 3.2692458550359636248744797905445e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 1.8362856405262994783471891854437
y[1] (numeric) = 1.8362856405262994783471891854443
absolute error = 6e-31
relative error = 3.2674655116729740399696651587349e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 1.8372856323466021487817604845245
y[1] (numeric) = 1.8372856323466021487817604845252
absolute error = 7e-31
relative error = 3.8099682905915506575357563644037e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.4MB, time=18.24
x[1] = 1.736
y[1] (analytic) = 1.8382856242158358637448728560396
y[1] (numeric) = 1.8382856242158358637448728560403
absolute error = 7e-31
relative error = 3.8078957414389917100260651257696e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 1.8392856161337079183421012025915
y[1] (numeric) = 1.8392856161337079183421012025922
absolute error = 7e-31
relative error = 3.8058254458132678628346912899568e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 1.8402856080999273586219169222364
y[1] (numeric) = 1.8402856080999273586219169222371
absolute error = 7e-31
relative error = 3.8037574000415160395990452785634e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 1.8412856001142049711018221718967
y[1] (numeric) = 1.8412856001142049711018221718975
absolute error = 8e-31
relative error = 4.3447904005243962902140965757112e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 1.8422855921762532723571351450531
y[1] (numeric) = 1.8422855921762532723571351450538
absolute error = 7e-31
relative error = 3.7996280434083225048689109077368e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 1.8432855842857864986720516311293
y[1] (numeric) = 1.84328558428578649867205163113
absolute error = 7e-31
relative error = 3.7975667252409362423136618601404e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 1.8442855764425205957526103650791
y[1] (numeric) = 1.8442855764425205957526103650798
absolute error = 7e-31
relative error = 3.7955076423155899024061551226205e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 1.8452855686461732085011919033704
y[1] (numeric) = 1.845285568646173208501191903371
absolute error = 6e-31
relative error = 3.2515292494277768677383278183640e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 1.8462855608964636708521829769367
y[1] (numeric) = 1.8462855608964636708521829769373
absolute error = 6e-31
relative error = 3.2497681437137497411114927349362e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 1.8472855531931129956684404727991
y[1] (numeric) = 1.8472855531931129956684404727998
absolute error = 7e-31
relative error = 3.7893437686989957600826854595829e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 1.8482855455358438646981913840306
y[1] (numeric) = 1.8482855455358438646981913840312
absolute error = 6e-31
relative error = 3.2462516489899378456819317255062e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 1.8492855379243806185920072426255
y[1] (numeric) = 1.8492855379243806185920072426262
absolute error = 7e-31
relative error = 3.7852456294319638663474765630700e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 1.8502855303584492469794937117254
y[1] (numeric) = 1.850285530358449246979493711726
absolute error = 6e-31
relative error = 3.2427427559451547464586458315908e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 1.8512855228377773786053381626054
y[1] (numeric) = 1.851285522837777378605338162606
absolute error = 6e-31
relative error = 3.2409911523549261183586330893322e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=18.63
x[1] = 1.75
y[1] (analytic) = 1.8522855153620942715243601979444
y[1] (numeric) = 1.852285515362094271524360197945
absolute error = 6e-31
relative error = 3.2392414399607769056628847713592e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.751
y[1] (analytic) = 1.8532855079311308033552122062334
y[1] (numeric) = 1.853285507931130803355212206234
absolute error = 6e-31
relative error = 3.2374936157019599294551993668143e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.752
y[1] (analytic) = 1.8542855005446194615923791428248
y[1] (numeric) = 1.8542855005446194615923791428254
absolute error = 6e-31
relative error = 3.2357476765243264009574197539191e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 1.8552854932022943339761288311444
y[1] (numeric) = 1.8552854932022943339761288311451
absolute error = 7e-31
relative error = 3.7730042226103595279381164215712e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 1.8562854859038910989200661630704
y[1] (numeric) = 1.8562854859038910989200661630711
absolute error = 7e-31
relative error = 3.7709716814337166801002207749415e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 1.8572854786491470159959466504879
y[1] (numeric) = 1.8572854786491470159959466504886
absolute error = 7e-31
relative error = 3.7689413288749156864387278008929e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 1.8582854714378009164754068406473
y[1] (numeric) = 1.8582854714378009164754068406479
absolute error = 6e-31
relative error = 3.2287827097726019785264776010876e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.757
y[1] (analytic) = 1.8592854642695931939282711562419
y[1] (numeric) = 1.8592854642695931939282711562425
absolute error = 6e-31
relative error = 3.2270461504183578780212433008903e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 1.8602854571442657948770967571724
y[1] (numeric) = 1.8602854571442657948770967571729
absolute error = 5e-31
relative error = 2.6877595482983170105630927177300e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 1.8612854500615622095076200448314
y[1] (numeric) = 1.8612854500615622095076200448319
absolute error = 5e-31
relative error = 2.6863155244858463170590142981650e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 1.862285443021227462434770441518
y[1] (numeric) = 1.8622854430212274624347704415185
absolute error = 5e-31
relative error = 2.6848730514095561010939374879955e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 1.8632854360230081035239190773286
y[1] (numeric) = 1.8632854360230081035239190773291
absolute error = 5e-31
relative error = 2.6834321265731501782813240643156e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 1.8642854290666521987670320046582
y[1] (numeric) = 1.8642854290666521987670320046588
absolute error = 6e-31
relative error = 3.2183912969828222283248961669268e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.763
y[1] (analytic) = 1.8652854221519093212133995363445
y[1] (numeric) = 1.8652854221519093212133995363451
absolute error = 6e-31
relative error = 3.2166658939938675334123200982600e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.259
Order of pole = 0.0005012
memory used=186.9MB, alloc=4.4MB, time=19.02
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 1.8662854152785305419546152675696
y[1] (numeric) = 1.8662854152785305419546152675702
absolute error = 6e-31
relative error = 3.2149423399445793599058895066171e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.26
Order of pole = 0.005466
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 1.8672854084462684211634802939782
y[1] (numeric) = 1.8672854084462684211634802939787
absolute error = 5e-31
relative error = 2.6776838598874940983167979784814e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.262
Order of pole = 0.01044
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 1.8682854016548769991865100791332
y[1] (numeric) = 1.8682854016548769991865100791338
absolute error = 6e-31
relative error = 3.2115007667914983696639223627967e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.264
Order of pole = 0.01543
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 1.8692853949041117876897233534969
y[1] (numeric) = 1.8692853949041117876897233534975
absolute error = 6e-31
relative error = 3.2097827417668238557079183115116e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.266
Order of pole = 0.02042
TOP MAIN SOLVE Loop
x[1] = 1.768
y[1] (analytic) = 1.8702853881937297608573943446488
y[1] (numeric) = 1.8702853881937297608573943446494
absolute error = 6e-31
relative error = 3.2080665538400185767317602559459e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.267
Order of pole = 0.02542
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 1.8712853815234893466434515445185
y[1] (numeric) = 1.8712853815234893466434515445191
absolute error = 6e-31
relative error = 3.2063522000664359284482798104340e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.269
Order of pole = 0.03042
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 1.8722853748931504180752081140726
y[1] (numeric) = 1.8722853748931504180752081140731
absolute error = 5e-31
relative error = 2.6705330645897639089702068093096e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.271
Order of pole = 0.03542
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 1.8732853683024742846091109092331
y[1] (numeric) = 1.8732853683024742846091109092336
absolute error = 5e-31
relative error = 2.6691074860264768921311079761531e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.272
Order of pole = 0.04043
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 1.8742853617512236835381969838791
y[1] (numeric) = 1.8742853617512236835381969838796
absolute error = 5e-31
relative error = 2.6676834285939733316082964738110e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.274
Order of pole = 0.04542
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 1.8752853552391627714509482866625
y[1] (numeric) = 1.8752853552391627714509482866629
absolute error = 4e-31
relative error = 2.1330087118874043171611027269226e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.276
Order of pole = 0.05042
TOP MAIN SOLVE Loop
x[1] = 1.774
y[1] (analytic) = 1.8762853487660571157412371181234
y[1] (numeric) = 1.8762853487660571157412371181239
absolute error = 5e-31
relative error = 2.6648398673945091518518331086618e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.278
Order of pole = 0.0554
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 1.877285342331673686169056753284
y[1] (numeric) = 1.8772853423316736861690567532845
absolute error = 5e-31
relative error = 2.6634203587770907720573309908632e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.279
Order of pole = 0.06038
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 1.8782853359357808464717334625951
y[1] (numeric) = 1.8782853359357808464717334625956
absolute error = 5e-31
relative error = 2.6620023615895127971927716820758e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.281
Order of pole = 0.06534
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 1.8792853295781483460253179808824
y[1] (numeric) = 1.879285329578148346025317980883
absolute error = 6e-31
relative error = 3.1927030481033165205905123743831e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.283
Order of pole = 0.07029
memory used=190.7MB, alloc=4.4MB, time=19.41
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 1.8802853232585473115558562798439
y[1] (numeric) = 1.8802853232585473115558562798445
absolute error = 6e-31
relative error = 3.1910050702315534789347103218158e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.284
Order of pole = 0.07522
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 1.8812853169767502389002412947557
y[1] (numeric) = 1.8812853169767502389002412947562
absolute error = 5e-31
relative error = 2.6577574145080048083681628409298e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.286
Order of pole = 0.08014
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 1.8822853107325309848163490404195
y[1] (numeric) = 1.8822853107325309848163490404201
absolute error = 6e-31
relative error = 3.1876145267610751270734877297206e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.288
Order of pole = 0.08503
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 1.8832853045256647588421643250882
y[1] (numeric) = 1.8832853045256647588421643250887
absolute error = 5e-31
relative error = 2.6549349628463910389085271342510e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.289
Order of pole = 0.0899
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 1.8842852983559281152036030341992
y[1] (numeric) = 1.8842852983559281152036030341997
absolute error = 5e-31
relative error = 2.6535259837576546744129780995063e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.291
Order of pole = 0.09475
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 1.8852852922230989447707397083075
y[1] (numeric) = 1.885285292223098944770739708308
absolute error = 5e-31
relative error = 2.6521184993195794588497983495879e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.293
Order of pole = 0.09956
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 1.8862852861269564670621508816774
y[1] (numeric) = 1.8862852861269564670621508816779
absolute error = 5e-31
relative error = 2.6507125071554393203775905850219e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.294
Order of pole = 0.1043
TOP MAIN SOLVE Loop
x[1] = 1.785
y[1] (analytic) = 1.8872852800672812222970863796561
y[1] (numeric) = 1.8872852800672812222970863796565
absolute error = 4e-31
relative error = 2.1194464039148342508936676010413e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.296
Order of pole = 0.1091
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 1.8882852740438550634951824942516
y[1] (numeric) = 1.888285274043855063495182494252
absolute error = 4e-31
relative error = 2.1183239921337758453660454685174e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.297
Order of pole = 0.1138
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 1.8892852680564611486234326683506
y[1] (numeric) = 1.8892852680564611486234326683511
absolute error = 5e-31
relative error = 2.6465034606148082105183696527845e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.299
Order of pole = 0.1185
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 1.8902852621048839327901330197886
y[1] (numeric) = 1.8902852621048839327901330197891
absolute error = 5e-31
relative error = 2.6451034138796407498603754946619e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.301
Order of pole = 0.1231
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 1.8912852561889091604855217270951
y[1] (numeric) = 1.8912852561889091604855217270956
absolute error = 5e-31
relative error = 2.6437048476100317765425887431434e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.302
Order of pole = 0.1277
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 1.8922852503083238578688329792355
y[1] (numeric) = 1.8922852503083238578688329792361
absolute error = 6e-31
relative error = 3.1707693113511169489442042597932e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.304
Order of pole = 0.1323
TOP MAIN SOLVE Loop
x[1] = 1.791
y[1] (analytic) = 1.8932852444629163251014878621227
y[1] (numeric) = 1.8932852444629163251014878621233
memory used=194.5MB, alloc=4.4MB, time=19.80
absolute error = 6e-31
relative error = 3.1690945765026912050164999866919e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.305
Order of pole = 0.1368
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 1.8942852386524761287261462151304
y[1] (numeric) = 1.894285238652476128726146215131
absolute error = 6e-31
relative error = 3.1674216097825775328169060439365e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.307
Order of pole = 0.1413
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 1.8952852328767940940913451413767
y[1] (numeric) = 1.8952852328767940940913451413772
absolute error = 5e-31
relative error = 2.6381253403270897655200469230494e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.308
Order of pole = 0.1457
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 1.8962852271356622978214514962048
y[1] (numeric) = 1.8962852271356622978214514962053
absolute error = 5e-31
relative error = 2.6367341412834276051918103550120e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.31
Order of pole = 0.15
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 1.8972852214288740603316573091431
y[1] (numeric) = 1.8972852214288740603316573091436
absolute error = 5e-31
relative error = 2.6353444086990909750352660866338e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.311
Order of pole = 0.1543
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 1.8982852157562239383877487157233
y[1] (numeric) = 1.8982852157562239383877487157239
absolute error = 6e-31
relative error = 3.1607473683082798371208936012174e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.313
Order of pole = 0.1585
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 1.8992852101175077177103805869436
y[1] (numeric) = 1.8992852101175077177103805869441
absolute error = 5e-31
relative error = 2.6325693336445518816466176085768e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.314
Order of pole = 0.1627
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 1.9002852045125224056235906459309
y[1] (numeric) = 1.9002852045125224056235906459314
absolute error = 5e-31
relative error = 2.6311839865546094382855396821348e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.316
Order of pole = 0.1668
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 1.901285198941066223747288453551
y[1] (numeric) = 1.9012851989410662237472884535515
absolute error = 5e-31
relative error = 2.6298000966844869707984103162930e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.317
Order of pole = 0.1709
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 1.9022851934029386007334562273811
y[1] (numeric) = 1.9022851934029386007334562273816
absolute error = 5e-31
relative error = 2.6284176617364382046350800348572e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.319
Order of pole = 0.1748
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 1.9032851878979401650458000316701
y[1] (numeric) = 1.9032851878979401650458000316707
absolute error = 6e-31
relative error = 3.1524440153010521489457316272189e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.32
Order of pole = 0.1787
TOP MAIN SOLVE Loop
x[1] = 1.802
y[1] (analytic) = 1.9042851824258727377825914397068
y[1] (numeric) = 1.9042851824258727377825914397073
absolute error = 5e-31
relative error = 2.6256571474396969823931691427016e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.322
Order of pole = 0.1825
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 1.9052851769865393255424413244643
y[1] (numeric) = 1.9052851769865393255424413244648
absolute error = 5e-31
relative error = 2.6242790635195943510769381295156e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.323
Order of pole = 0.1863
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 1.9062851715797441133327489785427
y[1] (numeric) = 1.9062851715797441133327489785432
absolute error = 5e-31
relative error = 2.6229024253787198762406452425850e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.325
Order of pole = 0.1899
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=20.20
x[1] = 1.805
y[1] (analytic) = 1.9072851662052924575205713003392
y[1] (numeric) = 1.9072851662052924575205713003397
absolute error = 5e-31
relative error = 2.6215272307433340738013180626996e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.326
Order of pole = 0.1935
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 1.9082851608629908788256583101072
y[1] (numeric) = 1.9082851608629908788256583101076
absolute error = 4e-31
relative error = 2.0961227818755689313974013649424e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.327
Order of pole = 0.197
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 1.909285155552647055355402777158
y[1] (numeric) = 1.9092851555526470553554027771584
absolute error = 4e-31
relative error = 2.0950249303343012905553076213154e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.329
Order of pole = 0.2004
TOP MAIN SOLVE Loop
x[1] = 1.808
y[1] (analytic) = 1.910285150274069815681453247986
y[1] (numeric) = 1.9102851502740698156814532479864
absolute error = 4e-31
relative error = 2.0939282281632757687809587108630e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.33
Order of pole = 0.2038
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 1.9112851450270691319577412645941
y[1] (numeric) = 1.9112851450270691319577412645945
absolute error = 4e-31
relative error = 2.0928326735586849528901494755585e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.331
Order of pole = 0.207
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 1.9122851398114561130796750528346
y[1] (numeric) = 1.912285139811456113079675052835
absolute error = 4e-31
relative error = 2.0917382647204927100204195004855e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.333
Order of pole = 0.2101
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 1.9132851346270429978842534421993
y[1] (numeric) = 1.9132851346270429978842534421997
absolute error = 4e-31
relative error = 2.0906449998524243442853255577050e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.334
Order of pole = 0.2131
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 1.9142851294736431483908552512532
y[1] (numeric) = 1.9142851294736431483908552512535
absolute error = 3e-31
relative error = 1.5671646578714675881488710953998e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.335
Order of pole = 0.2161
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 1.91528512435107104308246083686
y[1] (numeric) = 1.9152851243510710430824608368604
absolute error = 4e-31
relative error = 2.0884618948603088007555676782964e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.337
Order of pole = 0.2189
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 1.9162851192591422702270639605479
y[1] (numeric) = 1.9162851192591422702270639605483
absolute error = 4e-31
relative error = 2.0873720511624312560626028952172e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.338
Order of pole = 0.2216
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 1.9172851141976735212390335718571
y[1] (numeric) = 1.9172851141976735212390335718575
absolute error = 4e-31
relative error = 2.0862833442869973823999773844863e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.339
Order of pole = 0.2242
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 1.9182851091664825840801865463622
y[1] (numeric) = 1.9182851091664825840801865463626
absolute error = 4e-31
relative error = 2.0851957724563930916112736208007e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.34
Order of pole = 0.2267
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 1.9192851041653883367003338453062
y[1] (numeric) = 1.9192851041653883367003338453066
absolute error = 4e-31
relative error = 2.0841093338967073147071029825984e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.342
Order of pole = 0.2291
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 1.9202850991942107405170639844869
y[1] (numeric) = 1.9202850991942107405170639844872
absolute error = 3e-31
relative error = 1.5622680201282917786807015323314e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.343
Order of pole = 0.2314
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=20.58
x[1] = 1.819
y[1] (analytic) = 1.9212850942527708339345291122402
y[1] (numeric) = 1.9212850942527708339345291122405
absolute error = 3e-31
relative error = 1.5614548871346782780108433709647e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.344
Order of pole = 0.2335
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 1.9222850893408907259010004001263
y[1] (numeric) = 1.9222850893408907259010004001266
absolute error = 3e-31
relative error = 1.5606426001195452290028264028495e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.345
Order of pole = 0.2355
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 1.9232850844583935895049608452877
y[1] (numeric) = 1.923285084458393589504960845288
absolute error = 3e-31
relative error = 1.5598311577634963847986209511170e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.346
Order of pole = 0.2374
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 1.9242850796051036556095049704719
y[1] (numeric) = 1.9242850796051036556095049704722
absolute error = 3e-31
relative error = 1.5590205587498768734827759340692e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.347
Order of pole = 0.2392
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 1.9252850747808462065248162864353
y[1] (numeric) = 1.9252850747808462065248162864356
absolute error = 3e-31
relative error = 1.5582108017647660870381784770400e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.349
Order of pole = 0.2408
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 1.9262850699854475697184947519281
y[1] (numeric) = 1.9262850699854475697184947519284
absolute error = 3e-31
relative error = 1.5574018854969705923947069183703e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.35
Order of pole = 0.2423
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 1.9272850652187351115635078287443
y[1] (numeric) = 1.9272850652187351115635078287446
absolute error = 3e-31
relative error = 1.5565938086380170644909230286783e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.351
Order of pole = 0.2437
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 1.9282850604805372311235400834602
y[1] (numeric) = 1.9282850604805372311235400834605
absolute error = 3e-31
relative error = 1.5557865698821452412692778560091e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.352
Order of pole = 0.2449
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 1.9292850557706833539755176335262
y[1] (numeric) = 1.9292850557706833539755176335266
absolute error = 4e-31
relative error = 2.0733068905684012007008435854668e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.353
Order of pole = 0.246
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 1.9302850510890039260690850733672
y[1] (numeric) = 1.9302850510890039260690850733676
absolute error = 4e-31
relative error = 2.0722328019601718113789629394977e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.354
Order of pole = 0.247
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 1.9312850464353304076228138461364
y[1] (numeric) = 1.9312850464353304076228138461367
absolute error = 3e-31
relative error = 1.5533698692159659903695109395030e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.355
Order of pole = 0.2478
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 1.9322850418094952670569223488049
y[1] (numeric) = 1.9322850418094952670569223488053
absolute error = 4e-31
relative error = 2.0700879598251123624622890851938e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.356
Order of pole = 0.2484
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 1.9332850372113319749622893723989
y[1] (numeric) = 1.9332850372113319749622893723993
absolute error = 4e-31
relative error = 2.0690172028485784573374620422851e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.357
Order of pole = 0.2489
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 1.9342850326406749981055437854654
y[1] (numeric) = 1.9342850326406749981055437854658
absolute error = 4e-31
relative error = 2.0679475529721814573898764149908e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.358
Order of pole = 0.2492
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.4MB, time=20.97
x[1] = 1.833
y[1] (analytic) = 1.9352850280973597934700146673113
y[1] (numeric) = 1.9352850280973597934700146673116
absolute error = 3e-31
relative error = 1.5501592563599767666652775558780e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.359
Order of pole = 0.2494
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 1.9362850235812228023323273882497
y[1] (numeric) = 1.93628502358122280233232738825
absolute error = 3e-31
relative error = 1.5493586757446490917085357718217e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.359
Order of pole = 0.2494
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 1.9372850190921014443744324170681
y[1] (numeric) = 1.9372850190921014443744324170684
absolute error = 3e-31
relative error = 1.5485589216014969280168622830715e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.36
Order of pole = 0.2493
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 1.9382850146298341118308549112308
y[1] (numeric) = 1.9382850146298341118308549112311
absolute error = 3e-31
relative error = 1.5477599926515079374704420915947e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.361
Order of pole = 0.249
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 1.9392850101942601636709544130083
y[1] (numeric) = 1.9392850101942601636709544130086
absolute error = 3e-31
relative error = 1.5469618876183067750926095895690e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.362
Order of pole = 0.2485
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 1.9402850057852199198159852348205
y[1] (numeric) = 1.9402850057852199198159852348208
absolute error = 3e-31
relative error = 1.5461646052281483011617867582157e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.363
Order of pole = 0.2479
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 1.9412850014025546553907493696378
y[1] (numeric) = 1.9412850014025546553907493696381
absolute error = 3e-31
relative error = 1.5453681442099108142523259913548e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.363
Order of pole = 0.2471
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 1.9422849970461065950096350073564
y[1] (numeric) = 1.9422849970461065950096350073567
absolute error = 3e-31
relative error = 1.5445725032950893051291767685357e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.364
Order of pole = 0.2461
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 1.9432849927157189070968349756842
y[1] (numeric) = 1.9432849927157189070968349756844
absolute error = 2e-31
relative error = 1.0291851208118591542810680530958e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.365
Order of pole = 0.2449
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 1.9442849884112356982405406542954
y[1] (numeric) = 1.9442849884112356982405406542956
absolute error = 2e-31
relative error = 1.0286557844764782086676505182346e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.366
Order of pole = 0.2436
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 1.9452849841325020075809081338783
y[1] (numeric) = 1.9452849841325020075809081338784
absolute error = 1e-31
relative error = 5.1406349617505994933066530426185e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.366
Order of pole = 0.242
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 1.9462849798793638012315946072474
y[1] (numeric) = 1.9462849798793638012315946072475
absolute error = 1e-31
relative error = 5.1379937179702368311098386677587e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.367
Order of pole = 0.2403
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 1.947284975651667966734664187978
y[1] (numeric) = 1.9472849756516679667346641879781
absolute error = 1e-31
relative error = 5.1353551868562296727632735554749e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.368
Order of pole = 0.2384
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 1.9482849714492623075486635530712
y[1] (numeric) = 1.9482849714492623075486635530713
absolute error = 1e-31
relative error = 5.1327193642320934653585542456132e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.368
Order of pole = 0.2363
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=21.36
x[1] = 1.847
y[1] (analytic) = 1.9492849672719955375696690000348
y[1] (numeric) = 1.9492849672719955375696690000349
absolute error = 1e-31
relative error = 5.1300862459299104797125995754409e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.369
Order of pole = 0.234
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 1.9502849631197172756851076954957
y[1] (numeric) = 1.9502849631197172756851076954958
absolute error = 1e-31
relative error = 5.1274558277903078705638441741868e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.369
Order of pole = 0.2315
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 1.9512849589922780403601570720953
y[1] (numeric) = 1.9512849589922780403601570720954
absolute error = 1e-31
relative error = 5.1248281056624358040742003266036e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.37
Order of pole = 0.2289
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 1.9522849548895292442565275030021
y[1] (numeric) = 1.9522849548895292442565275030023
absolute error = 2e-31
relative error = 1.0244406150807891304793067891875e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.37
Order of pole = 0.226
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 1.9532849508113231888834345489421
y[1] (numeric) = 1.9532849508113231888834345489422
absolute error = 1e-31
relative error = 5.1195807328809682550683769489166e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.371
Order of pole = 0.2229
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 1.9542849467575130592805682312456
y[1] (numeric) = 1.9542849467575130592805682312458
absolute error = 2e-31
relative error = 1.0233922147936184493987140865700e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.371
Order of pole = 0.2196
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 1.9552849427279529187328679360809
y[1] (numeric) = 1.9552849427279529187328679360811
absolute error = 2e-31
relative error = 1.0228688189096684905549001479970e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.372
Order of pole = 0.2161
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 1.9562849387224977035169126998209
y[1] (numeric) = 1.9562849387224977035169126998211
absolute error = 2e-31
relative error = 1.0223459581026316694317107558422e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.372
Order of pole = 0.2124
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 1.9572849347410032176787377634302
y[1] (numeric) = 1.9572849347410032176787377634305
absolute error = 3e-31
relative error = 1.5327354473287117744090115646121e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.372
Order of pole = 0.2085
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 1.9582849307833261278428894148846
y[1] (numeric) = 1.9582849307833261278428894148849
absolute error = 3e-31
relative error = 1.5319527576612568725139356061764e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.373
Order of pole = 0.2043
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 1.9592849268493239580525312630025
y[1] (numeric) = 1.9592849268493239580525312630027
absolute error = 2e-31
relative error = 1.0207805779510328347371148863751e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.373
Order of pole = 0.2
TOP MAIN SOLVE Loop
x[1] = 1.858
y[1] (analytic) = 1.9602849229388550846404162037078
y[1] (numeric) = 1.960284922938855084640416203708
absolute error = 2e-31
relative error = 1.0202598492680360742274993193833e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.373
Order of pole = 0.1954
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 1.9612849190517787311305394507006
y[1] (numeric) = 1.9612849190517787311305394507008
absolute error = 2e-31
relative error = 1.0197396515784860194286578272711e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1906
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 1.9622849151879549631702891068227
y[1] (numeric) = 1.9622849151879549631702891068229
absolute error = 2e-31
relative error = 1.0192199840706784139099255056881e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1856
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=21.75
x[1] = 1.861
y[1] (analytic) = 1.9632849113472446834929118501161
y[1] (numeric) = 1.9632849113472446834929118501163
absolute error = 2e-31
relative error = 1.0187008459345621422032573302360e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1803
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 1.9642849075295096269101123997127
y[1] (numeric) = 1.9642849075295096269101123997129
absolute error = 2e-31
relative error = 1.0181822363617350259962028039925e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1749
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 1.9652849037346123553346065113136
y[1] (numeric) = 1.9652849037346123553346065113138
absolute error = 2e-31
relative error = 1.0176641545454396331307764511709e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1692
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 1.9662848999624162528324483301442
y[1] (numeric) = 1.9662848999624162528324483301444
absolute error = 2e-31
relative error = 1.0171465996805590993628283598545e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1632
TOP MAIN SOLVE Loop
x[1] = 1.865
y[1] (analytic) = 1.9672848962127855207049540009585
y[1] (numeric) = 1.9672848962127855207049540009587
absolute error = 2e-31
relative error = 1.0166295709636129628367022399386e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1571
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 1.9682848924855851726000444999352
y[1] (numeric) = 1.9682848924855851726000444999354
absolute error = 2e-31
relative error = 1.0161130675927530112301508970618e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1507
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 1.9692848887806810296528317122146
y[1] (numeric) = 1.9692848887806810296528317122148
absolute error = 2e-31
relative error = 1.0155970887677591415246606335558e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.144
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 1.9702848850979397156552728313939
y[1] (numeric) = 1.9702848850979397156552728313941
absolute error = 2e-31
relative error = 1.0150816336900352323565168774053e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1371
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 1.9712848814372286522547192035724
y[1] (numeric) = 1.9712848814372286522547192035726
absolute error = 2e-31
relative error = 1.0145667015626050289041233139812e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.13
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 1.972284877798416054181186778558
y[1] (numeric) = 1.9722848777984160541811867785582
absolute error = 2e-31
relative error = 1.0140522915901080402672659569622e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1227
TOP MAIN SOLVE Loop
x[1] = 1.871
y[1] (analytic) = 1.9732848741813709245031763646417
y[1] (numeric) = 1.9732848741813709245031763646419
absolute error = 2e-31
relative error = 1.0135384029787954492941919484449e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.115
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 1.9742848705859630499118729109631
y[1] (numeric) = 1.9742848705859630499118729109634
absolute error = 3e-31
relative error = 1.5195375524047890522188256416770e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.1072
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 1.9752848670120629960335540629591
y[1] (numeric) = 1.9752848670120629960335540629594
absolute error = 3e-31
relative error = 1.5187682800091431593306293373319e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.09907
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 1.976284863459542102770039251746
y[1] (numeric) = 1.9762848634595421027700392517463
absolute error = 3e-31
relative error = 1.5179997860978481755907296306984e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.374
Order of pole = 0.0907
memory used=217.4MB, alloc=4.4MB, time=22.13
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 1.9772848599282724796670115875758
y[1] (numeric) = 1.9772848599282724796670115875761
absolute error = 3e-31
relative error = 1.5172320694898899363009324656956e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.373
Order of pole = 0.08209
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 1.9782848564181270013100458307564
y[1] (numeric) = 1.9782848564181270013100458307567
absolute error = 3e-31
relative error = 1.5164651290066413888663975276647e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.373
Order of pole = 0.07322
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 1.9792848529289793027481767106771
y[1] (numeric) = 1.9792848529289793027481767106774
absolute error = 3e-31
relative error = 1.5156989634718565681913178830161e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.373
Order of pole = 0.0641
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 1.9802848494607037749448428548685
y[1] (numeric) = 1.9802848494607037749448428548688
absolute error = 3e-31
relative error = 1.5149335717116645902903448021073e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.372
Order of pole = 0.05471
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 1.9812848460131755602560425753837
y[1] (numeric) = 1.9812848460131755602560425753839
absolute error = 2e-31
relative error = 1.0094459683697091093677731838842e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.372
Order of pole = 0.04507
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 1.9822848425862705479355387392523
y[1] (numeric) = 1.9822848425862705479355387392526
absolute error = 3e-31
relative error = 1.5134051048314151210878526257851e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.372
Order of pole = 0.03517
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 1.9832848391798653696669509233684
y[1] (numeric) = 1.9832848391798653696669509233687
absolute error = 3e-31
relative error = 1.5126420273754374636110203443083e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.371
Order of pole = 0.025
TOP MAIN SOLVE Loop
x[1] = 1.882
y[1] (analytic) = 1.9842848357938373951225740219539
y[1] (numeric) = 1.9842848357938373951225740219542
absolute error = 3e-31
relative error = 1.5118797190222004302687558892705e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.371
Order of pole = 0.01457
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 1.9852848324280647275487634367405
y[1] (numeric) = 1.9852848324280647275487634367407
absolute error = 2e-31
relative error = 1.0074121190730793865852997373102e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.37
Order of pole = 0.00388
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 1.9862848290824261993777279362514
y[1] (numeric) = 1.9862848290824261993777279362516
absolute error = 2e-31
relative error = 1.0069049366519652619957188395012e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 1.9872848257568013678655722210918
y[1] (numeric) = 1.9872848257568013678655722210921
absolute error = 3e-31
relative error = 1.5095973969697748912499078398439e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 1.9882848224510705107564321769938
y[1] (numeric) = 1.988284822451070510756432176994
absolute error = 2e-31
relative error = 1.0058921022866771829411909095848e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 1.9892848191651146219725467365497
y[1] (numeric) = 1.9892848191651146219725467365499
absolute error = 2e-31
relative error = 1.0053864488039387167159678835948e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 1.9902848158988154073301112041423
y[1] (numeric) = 1.9902848158988154073301112041425
absolute error = 2e-31
relative error = 1.0048813034313368872976855134141e-29 %
Correct digits = 30
h = 0.001
memory used=221.2MB, alloc=4.4MB, time=22.52
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 1.9912848126520552802807578265625
y[1] (numeric) = 1.9912848126520552802807578265627
absolute error = 2e-31
relative error = 1.0043766654034475164434198010000e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 1.9922848094247173576785103142481
y[1] (numeric) = 1.9922848094247173576785103142483
absolute error = 2e-31
relative error = 1.0038725339563826940428247377285e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 1.9932848062166854555720599349948
y[1] (numeric) = 1.993284806216685455572059934995
absolute error = 2e-31
relative error = 1.0033689083277869279018389547242e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 1.9942848030278440850222117134285
y[1] (numeric) = 1.9942848030278440850222117134287
absolute error = 2e-31
relative error = 1.0028657877568333050872831660631e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 1.9952847998580784479443501755134
y[1] (numeric) = 1.9952847998580784479443501755137
absolute error = 3e-31
relative error = 1.5035447572263294971879181855902e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 1.9962847967072744329757749779387
y[1] (numeric) = 1.9962847967072744329757749779389
absolute error = 2e-31
relative error = 1.0018610587521647826799123064894e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 1.9972847935753186113677576574048
y[1] (numeric) = 1.9972847935753186113677576574051
absolute error = 3e-31
relative error = 1.5020391732066068500080950265171e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 1.9982847904620982329021716246622
y[1] (numeric) = 1.9982847904620982329021716246624
absolute error = 2e-31
relative error = 1.0008583408861882641318073058403e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 1.9992847873675012218325484126548
y[1] (numeric) = 1.999284787367501221832548412655
absolute error = 2e-31
relative error = 1.0003577342442746804112951512982e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 2.0002847842914161728494140673418
y[1] (numeric) = 2.000284784291416172849414067342
absolute error = 2e-31
relative error = 9.9985762812692840871850468385265e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 2.0012847812337323470697604437227
y[1] (numeric) = 2.0012847812337323470697604437229
absolute error = 2e-31
relative error = 9.9935802178391607126574781601487e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 2.0022847781943396680505070383239
y[1] (numeric) = 2.002284778194339668050507038324
absolute error = 1e-31
relative error = 4.9942945723325128583015429776924e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 2.0032847751731287178258098529373
y[1] (numeric) = 2.0032847751731287178258098529374
absolute error = 1e-31
relative error = 4.9918015271372367924903790207129e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 2.0042847721699907329680746427721
y[1] (numeric) = 2.0042847721699907329680746427722
absolute error = 1e-31
relative error = 4.9893109696050035006059459645938e-30 %
Correct digits = 31
h = 0.001
memory used=225.0MB, alloc=4.4MB, time=22.91
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 2.0052847691848176006725327554145
y[1] (numeric) = 2.0052847691848176006725327554146
absolute error = 1e-31
relative error = 4.9868228960144998525043645953305e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 2.0062847662175018548652386151244
y[1] (numeric) = 2.0062847662175018548652386151245
absolute error = 1e-31
relative error = 4.9843373026518297310339178500987e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 2.0072847632679366723343487500568
y[1] (numeric) = 2.0072847632679366723343487500569
absolute error = 1e-31
relative error = 4.9818541858104955721217664988293e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 2.0082847603360158688845430980143
y[1] (numeric) = 2.0082847603360158688845430980144
absolute error = 1e-31
relative error = 4.9793735417913799599088053075834e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 2.009284757421633895514450159341
y[1] (numeric) = 2.0092847574216338955144501593411
absolute error = 1e-31
relative error = 4.9768953669027272767415835214332e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 2.010284754524685834616938393593
y[1] (numeric) = 2.0102847545246858346169383935931
absolute error = 1e-31
relative error = 4.9744196574601254078309690578874e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 2.0112847516450673962021370796914
y[1] (numeric) = 2.0112847516450673962021370796915
absolute error = 1e-31
relative error = 4.9719464097864875003879880082091e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 2.0122847487826749141430506774107
y[1] (numeric) = 2.0122847487826749141430506774108
absolute error = 1e-31
relative error = 4.9694756202120337770480199196623e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.911
y[1] (analytic) = 2.0132847459374053424436315413129
y[1] (numeric) = 2.013284745937405342443631541313
absolute error = 1e-31
relative error = 4.9670072850742734033952748930698e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 2.0142847431091562515291766466267
y[1] (numeric) = 2.0142847431091562515291766466269
absolute error = 2e-31
relative error = 9.9290828014359728188004415866338e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 2.0152847402978258245589147901278
y[1] (numeric) = 2.015284740297825824558914790128
absolute error = 2e-31
relative error = 9.9241559269904113291667357033937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 2.0162847375033128537606515278266
y[1] (numeric) = 2.0162847375033128537606515278268
absolute error = 2e-31
relative error = 9.9192339395303978134391073086419e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 2.0172847347255167367873399052424
y[1] (numeric) = 2.0172847347255167367873399052426
absolute error = 2e-31
relative error = 9.9143168317889016477952079523261e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 2.018284731964337473095445825267
y[1] (numeric) = 2.0182847319643374730954458252672
absolute error = 2e-31
relative error = 9.9094045965132903795019483030995e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=228.8MB, alloc=4.4MB, time=23.31
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 2.0192847292196756603449776831247
y[1] (numeric) = 2.0192847292196756603449776831249
absolute error = 2e-31
relative error = 9.9044972264652941033514033696489e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 2.0202847264914324908210506777465
y[1] (numeric) = 2.0202847264914324908210506777466
absolute error = 1e-31
relative error = 4.9497973572104849718527236152204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 2.0212847237795097478768569840248
y[1] (numeric) = 2.0212847237795097478768569840249
absolute error = 1e-31
relative error = 4.9473485265853333208923317732805e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 2.0222847210838098023979137409267
y[1] (numeric) = 2.0222847210838098023979137409269
absolute error = 2e-31
relative error = 9.8898042355189892478385110360088e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 2.0232847184042356092874615763456
y[1] (numeric) = 2.0232847184042356092874615763458
absolute error = 2e-31
relative error = 9.8849162542847639178351496794885e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 2.0242847157406907039728871508939
y[1] (numeric) = 2.0242847157406907039728871508941
absolute error = 2e-31
relative error = 9.8800331023010028143107537381312e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 2.0252847130930791989330439596086
y[1] (numeric) = 2.0252847130930791989330439596088
absolute error = 2e-31
relative error = 9.8751547724148691110195517232789e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 2.0262847104613057802463463827839
y[1] (numeric) = 2.0262847104613057802463463827841
absolute error = 2e-31
relative error = 9.8702812574876421010272412978840e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 2.0272847078452757041595127248873
y[1] (numeric) = 2.0272847078452757041595127248874
absolute error = 1e-31
relative error = 4.9327062751973412039459143692347e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 2.0282847052448947936768337237876
y[1] (numeric) = 2.0282847052448947936768337237878
absolute error = 2e-31
relative error = 9.8605486440253972995773380760433e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 2.0292847026600694351698437513502
y[1] (numeric) = 2.0292847026600694351698437513504
absolute error = 2e-31
relative error = 9.8556895312832061047472243938076e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 2.0302847000907065750072726608567
y[1] (numeric) = 2.0302847000907065750072726608569
absolute error = 2e-31
relative error = 9.8508352050855057310857090187344e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 2.031284697536713716205156966727
y[1] (numeric) = 2.0312846975367137162051569667272
absolute error = 2e-31
relative error = 9.8459856583636362852966315326593e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 2.0322846949979989150969897676636
y[1] (numeric) = 2.0322846949979989150969897676638
absolute error = 2e-31
relative error = 9.8411408840628467944307846760060e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=232.7MB, alloc=4.4MB, time=23.70
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 2.0332846924744707780237895456488
y[1] (numeric) = 2.033284692474470778023789545649
absolute error = 2e-31
relative error = 9.8363008751422610281940633528308e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 2.0342846899660384580439686902187
y[1] (numeric) = 2.0342846899660384580439686902189
absolute error = 2e-31
relative error = 9.8314656245748434218901180987471e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 2.035284687472611651662883310142
y[1] (numeric) = 2.0352846874726116516628833101421
absolute error = 1e-31
relative error = 4.9133175626736825498262782862242e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 2.0362846849941005955819466030743
y[1] (numeric) = 2.0362846849941005955819466030745
absolute error = 2e-31
relative error = 9.8218093704603699976230839058160e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 2.0372846825304160634671887579655
y[1] (numeric) = 2.0372846825304160634671887579656
absolute error = 1e-31
relative error = 4.9084941764640705433666570628297e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 2.0382846800814693627371470649869
y[1] (numeric) = 2.0382846800814693627371470649871
absolute error = 2e-31
relative error = 9.8121720657786666947493203705642e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 2.0392846776471723313699706035575
y[1] (numeric) = 2.0392846776471723313699706035577
absolute error = 2e-31
relative error = 9.8073605020536069272393212974110e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 2.0402846752274373347296245706861
y[1] (numeric) = 2.0402846752274373347296245706863
absolute error = 2e-31
relative error = 9.8025536548082601871262249322363e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 2.0412846728221772624110799993618
y[1] (numeric) = 2.041284672822177262411079999362
absolute error = 2e-31
relative error = 9.7977515171115297924880692971663e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 2.0422846704313055251043753001146
y[1] (numeric) = 2.0422846704313055251043753001148
absolute error = 2e-31
relative error = 9.7929540820458906922707114672488e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 2.043284668054736051477436738181
y[1] (numeric) = 2.0432846680547360514774367381812
absolute error = 2e-31
relative error = 9.7881613427073562795784233057996e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 2.044284665692383285077545633953
y[1] (numeric) = 2.0442846656923832850775456339532
absolute error = 2e-31
relative error = 9.7833732922054453022093530220878e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 2.0452846633441621812513407455956
y[1] (numeric) = 2.0452846633441621812513407455958
absolute error = 2e-31
relative error = 9.7785899236631488701041069182702e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 2.0462846610099882040832449599109
y[1] (numeric) = 2.0462846610099882040832449599111
absolute error = 2e-31
relative error = 9.7738112302168975593769952707932e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=236.5MB, alloc=4.4MB, time=24.09
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 2.047284658689777323352206080728
y[1] (numeric) = 2.0472846586897773233522060807283
absolute error = 3e-31
relative error = 1.4653555807524792918901155378352e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 2.0482846563834460115066421633336
y[1] (numeric) = 2.0482846563834460115066421633338
absolute error = 2e-31
relative error = 9.7642678412252532350169621697937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 2.0492846540909112406574824987479
y[1] (numeric) = 2.0492846540909112406574824987481
absolute error = 2e-31
relative error = 9.7595031320196239863451931033147e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 2.0502846518120904795891960030274
y[1] (numeric) = 2.0502846518120904795891960030275
absolute error = 1e-31
relative error = 4.8773715352947511339330571477722e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 2.0512846495469016907886994142468
y[1] (numeric) = 2.0512846495469016907886994142469
absolute error = 1e-31
relative error = 4.8749938250690129522269377035183e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 2.0522846472952633274920383434228
y[1] (numeric) = 2.0522846472952633274920383434229
absolute error = 1e-31
relative error = 4.8726184319407884106176450120345e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 2.0532846450570943307487348653908
y[1] (numeric) = 2.0532846450570943307487348653909
absolute error = 1e-31
relative error = 4.8702453525248744072770563133196e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 2.0542846428323141265036959715782
y[1] (numeric) = 2.0542846428323141265036959715783
absolute error = 1e-31
relative error = 4.8678745834426577084600438055740e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 2.0552846406208426226965778387398
y[1] (numeric) = 2.0552846406208426226965778387399
absolute error = 1e-31
relative error = 4.8655061213220989278118354724570e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 2.0562846384226002063785014960656
y[1] (numeric) = 2.0562846384226002063785014960657
absolute error = 1e-31
relative error = 4.8631399627977165523492798165583e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 2.0572846362375077408460160976556
y[1] (numeric) = 2.0572846362375077408460160976556
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 2.0582846340654865627922066282062
y[1] (numeric) = 2.0582846340654865627922066282062
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 2.0592846319064584794748434868901
y[1] (numeric) = 2.0592846319064584794748434868901
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 2.0602846297603457659014720078538
y[1] (numeric) = 2.0602846297603457659014720078539
absolute error = 1e-31
relative error = 4.8536982975809557672874029813741e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=240.3MB, alloc=4.4MB, time=24.48
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 2.0612846276270711620313405855356
y[1] (numeric) = 2.0612846276270711620313405855357
absolute error = 1e-31
relative error = 4.8513436067836459574395613525336e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 2.0622846255065578699940666791328
y[1] (numeric) = 2.0622846255065578699940666791329
absolute error = 1e-31
relative error = 4.8489911995264501117773241622193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 2.0632846233987295513249405730526
y[1] (numeric) = 2.0632846233987295513249405730527
absolute error = 1e-31
relative error = 4.8466410724893484459091484802895e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 2.0642846213035103242167673690789
y[1] (numeric) = 2.064284621303510324216767369079
absolute error = 1e-31
relative error = 4.8442932223587529180554826992278e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 2.0652846192208247607881482813047
y[1] (numeric) = 2.0652846192208247607881482813048
absolute error = 1e-31
relative error = 4.8419476458274916680437479381509e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.964
y[1] (analytic) = 2.0662846171505978843681028966374
y[1] (numeric) = 2.0662846171505978843681028966375
absolute error = 1e-31
relative error = 4.8396043395947935014212682904977e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 2.0672846150927551667969346519009
y[1] (numeric) = 2.067284615092755166796934651901
absolute error = 1e-31
relative error = 4.8372633003662724185338339571532e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 2.0682846130472225257432423632564
y[1] (numeric) = 2.0682846130472225257432423632565
absolute error = 1e-31
relative error = 4.8349245248539121884181673213056e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 2.0692846110139263220369812248678
y[1] (numeric) = 2.0692846110139263220369812248679
absolute error = 1e-31
relative error = 4.8325880097760509673571455089013e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 2.07028460899279335701847727146
y[1] (numeric) = 2.0702846089927933570184772714602
absolute error = 2e-31
relative error = 9.6605075037147319238944279024144e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 2.0712846069837508699032998736916
y[1] (numeric) = 2.0712846069837508699032998736918
absolute error = 2e-31
relative error = 9.6558434956577162730560078713839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 2.0722846049867265351628974060944
y[1] (numeric) = 2.0722846049867265351628974060946
absolute error = 2e-31
relative error = 9.6511839888556739296494862202734e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 2.0732846030016484599209017947578
y[1] (numeric) = 2.073284603001648459920901794758
absolute error = 2e-31
relative error = 9.6465289767958104513092428088537e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 2.0742846010284451813650082159583
y[1] (numeric) = 2.0742846010284451813650082159585
absolute error = 2e-31
relative error = 9.6418784529778876850976917333782e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=244.1MB, alloc=4.4MB, time=24.86
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 2.0752845990670456641743367775901
y[1] (numeric) = 2.0752845990670456641743367775904
absolute error = 3e-31
relative error = 1.4455848616371290301428059461109e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 2.0762845971173792979621835725529
y[1] (numeric) = 2.0762845971173792979621835725531
absolute error = 2e-31
relative error = 9.6325908441295118123727624297189e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 2.0772845951793758947340690472165
y[1] (numeric) = 2.0772845951793758947340690472167
absolute error = 2e-31
relative error = 9.6279537461610921840606641519809e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 2.0782845932529656863609921787394
y[1] (numeric) = 2.0782845932529656863609921787396
absolute error = 2e-31
relative error = 9.6233211105586201928771711513554e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 2.0792845913380793220677995023733
y[1] (numeric) = 2.0792845913380793220677995023735
absolute error = 2e-31
relative error = 9.6186929308841873751702988874244e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 2.080284589434647865936578573974
y[1] (numeric) = 2.0802845894346478659365785739741
absolute error = 1e-31
relative error = 4.8070346003561307300882542506116e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 2.0812845875426027944249859937685
y[1] (numeric) = 2.0812845875426027944249859937686
absolute error = 1e-31
relative error = 4.8047249568148283279382225099206e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 2.0822845856618759938994206550267
y[1] (numeric) = 2.0822845856618759938994206550268
absolute error = 1e-31
relative error = 4.8024175316177520101751595927212e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 2.0832845837923997581829534156632
y[1] (numeric) = 2.0832845837923997581829534156633
absolute error = 1e-31
relative error = 4.8001123215706109591732301276482e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 2.0842845819341067861179249219825
y[1] (numeric) = 2.0842845819341067861179249219826
absolute error = 1e-31
relative error = 4.7978093234852432813888305542452e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 2.0852845800869301791431238417866
y[1] (numeric) = 2.0852845800869301791431238417867
absolute error = 1e-31
relative error = 4.7955085341796013204305131505524e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 2.0862845782508034388854582889131
y[1] (numeric) = 2.0862845782508034388854582889132
absolute error = 1e-31
relative error = 4.7932099504777370123090591784558e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 2.0872845764256604647660337429818
y[1] (numeric) = 2.0872845764256604647660337429819
absolute error = 1e-31
relative error = 4.7909135692097872827266387935831e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 2.0882845746114355516205512867174
y[1] (numeric) = 2.0882845746114355516205512867175
absolute error = 1e-31
relative error = 4.7886193872119594862645330613795e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=247.9MB, alloc=4.4MB, time=25.26
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 2.0892845728080633873339404987031
y[1] (numeric) = 2.0892845728080633873339404987032
absolute error = 1e-31
relative error = 4.7863274013265168873294288183528e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 2.090284571015479050489141851823
y[1] (numeric) = 2.0902845710154790504891418518231
absolute error = 1e-31
relative error = 4.7840376084017641827188302281943e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 2.0912845692336180080299539769931
y[1] (numeric) = 2.0912845692336180080299539769932
absolute error = 1e-31
relative error = 4.7817500052920330656666617173722e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 2.0922845674624161129378616580698
y[1] (numeric) = 2.0922845674624161129378616580699
absolute error = 1e-31
relative error = 4.7794645888576678312306655445989e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 2.0932845657018096019227609270922
y[1] (numeric) = 2.0932845657018096019227609270923
absolute error = 1e-31
relative error = 4.7771813559650110228837235739860e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 2.0942845639517350931274981292676
y[1] (numeric) = 2.0942845639517350931274981292677
absolute error = 1e-31
relative error = 4.7749003034863891201717568933565e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 2.0952845622121295838461403243709
y[1] (numeric) = 2.0952845622121295838461403243709
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 2.0962845604829304482558948855169
y[1] (numeric) = 2.0962845604829304482558948855169
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 2.0972845587640754351625966475972
y[1] (numeric) = 2.0972845587640754351625966475972
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 2.0982845570555026657596814460622
y[1] (numeric) = 2.0982845570555026657596814460622
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.997
y[1] (analytic) = 2.099284555357150631400565372203
y[1] (numeric) = 2.099284555357150631400565372203
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 2.1002845536689581913843495536544
y[1] (numeric) = 2.1002845536689581913843495536543
absolute error = 1e-31
relative error = 4.7612596029100616764503332525401e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 2.1012845519908645707547707485197
y[1] (numeric) = 2.1012845519908645707547707485196
absolute error = 1e-31
relative error = 4.7589937262544894255067496414768e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
Finished!
diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ;
Iterations = 900
Total Elapsed Time = 25 Seconds
Elapsed Time(since restart) = 25 Seconds
Time to Timeout = 2 Minutes 34 Seconds
Percent Done = 100.1 %
> quit
memory used=251.5MB, alloc=4.4MB, time=25.60