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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> ALWAYS,
> INFO,
> glob_iolevel,
> DEBUGL,
> DEBUGMASSIVE,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_smallish_float,
> glob_dump,
> glob_optimal_start,
> glob_no_eqs,
> glob_max_minutes,
> glob_abserr,
> glob_optimal_done,
> glob_initial_pass,
> glob_start,
> glob_orig_start_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_relerr,
> glob_log10_relerr,
> glob_hmin_init,
> glob_disp_incr,
> glob_clock_start_sec,
> days_in_year,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_log10abserr,
> glob_last_good_h,
> glob_log10normmin,
> glob_small_float,
> glob_max_hours,
> glob_log10_abserr,
> glob_clock_sec,
> sec_in_min,
> djd_debug2,
> glob_display_flag,
> glob_dump_analytic,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_trunc_err,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_not_yet_start_msg,
> hours_in_day,
> min_in_hour,
> glob_warned2,
> glob_look_poles,
> centuries_in_millinium,
> years_in_century,
> djd_debug,
> glob_log10relerr,
> glob_hmax,
> glob_reached_optimal_h,
> glob_almost_1,
> glob_percent_done,
> glob_large_float,
> glob_hmin,
> glob_h,
> glob_not_yet_finished,
> glob_html_log,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1,
> array_const_1D0,
> #END CONST
> array_y,
> array_x,
> array_type_pole,
> array_y_init,
> array_pole,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_1st_rel_error,
> array_y_set_initial,
> array_poles,
> array_complex_pole,
> array_real_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_y_higher,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> 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 := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms,
glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec,
glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start,
glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done,
glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned,
glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr,
glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year,
glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr,
glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours,
glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2,
glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter,
glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter,
glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2,
glob_look_poles, centuries_in_millinium, years_in_century, djd_debug,
glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1,
glob_percent_done, glob_large_float, glob_hmin, glob_h,
glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0,
array_const_0D0, array_const_1, array_const_1D0, array_y, array_x,
array_type_pole, array_y_init, array_pole, array_last_rel_error,
array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole,
array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher,
glob_last;
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 := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
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_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> ALWAYS,
> INFO,
> glob_iolevel,
> DEBUGL,
> DEBUGMASSIVE,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_smallish_float,
> glob_dump,
> glob_optimal_start,
> glob_no_eqs,
> glob_max_minutes,
> glob_abserr,
> glob_optimal_done,
> glob_initial_pass,
> glob_start,
> glob_orig_start_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_relerr,
> glob_log10_relerr,
> glob_hmin_init,
> glob_disp_incr,
> glob_clock_start_sec,
> days_in_year,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_log10abserr,
> glob_last_good_h,
> glob_log10normmin,
> glob_small_float,
> glob_max_hours,
> glob_log10_abserr,
> glob_clock_sec,
> sec_in_min,
> djd_debug2,
> glob_display_flag,
> glob_dump_analytic,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_trunc_err,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_not_yet_start_msg,
> hours_in_day,
> min_in_hour,
> glob_warned2,
> glob_look_poles,
> centuries_in_millinium,
> years_in_century,
> djd_debug,
> glob_log10relerr,
> glob_hmax,
> glob_reached_optimal_h,
> glob_almost_1,
> glob_percent_done,
> glob_large_float,
> glob_hmin,
> glob_h,
> glob_not_yet_finished,
> glob_html_log,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1,
> array_const_1D0,
> #END CONST
> array_y,
> array_x,
> array_type_pole,
> array_y_init,
> array_pole,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_1st_rel_error,
> array_y_set_initial,
> array_poles,
> array_complex_pole,
> array_real_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_y_higher,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(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 (abs(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");
> newline();
> 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
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms,
glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec,
glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start,
glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done,
glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned,
glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr,
glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year,
glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr,
glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours,
glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2,
glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter,
glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter,
glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2,
glob_look_poles, centuries_in_millinium, years_in_century, djd_debug,
glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1,
glob_percent_done, glob_large_float, glob_hmin, glob_h,
glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0,
array_const_0D0, array_const_1, array_const_1D0, array_y, array_x,
array_type_pole, array_y_init, array_pole, array_last_rel_error,
array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole,
array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher,
glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(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 < abs(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");
newline();
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
end proc
> # Begin Function number 5
> prog_report := proc(x_start,x_end)
> global
> ALWAYS,
> INFO,
> glob_iolevel,
> DEBUGL,
> DEBUGMASSIVE,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_smallish_float,
> glob_dump,
> glob_optimal_start,
> glob_no_eqs,
> glob_max_minutes,
> glob_abserr,
> glob_optimal_done,
> glob_initial_pass,
> glob_start,
> glob_orig_start_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_relerr,
> glob_log10_relerr,
> glob_hmin_init,
> glob_disp_incr,
> glob_clock_start_sec,
> days_in_year,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_log10abserr,
> glob_last_good_h,
> glob_log10normmin,
> glob_small_float,
> glob_max_hours,
> glob_log10_abserr,
> glob_clock_sec,
> sec_in_min,
> djd_debug2,
> glob_display_flag,
> glob_dump_analytic,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_trunc_err,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_not_yet_start_msg,
> hours_in_day,
> min_in_hour,
> glob_warned2,
> glob_look_poles,
> centuries_in_millinium,
> years_in_century,
> djd_debug,
> glob_log10relerr,
> glob_hmax,
> glob_reached_optimal_h,
> glob_almost_1,
> glob_percent_done,
> glob_large_float,
> glob_hmin,
> glob_h,
> glob_not_yet_finished,
> glob_html_log,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1,
> array_const_1D0,
> #END CONST
> array_y,
> array_x,
> array_type_pole,
> array_y_init,
> array_pole,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_1st_rel_error,
> array_y_set_initial,
> array_poles,
> array_complex_pole,
> array_real_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_y_higher,
> 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));
> 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));
> 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 Function number 5
> 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 ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms,
glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec,
glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start,
glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done,
glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned,
glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr,
glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year,
glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr,
glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours,
glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2,
glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter,
glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter,
glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2,
glob_look_poles, centuries_in_millinium, years_in_century, djd_debug,
glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1,
glob_percent_done, glob_large_float, glob_hmin, glob_h,
glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0,
array_const_0D0, array_const_1, array_const_1D0, array_y, array_x,
array_type_pole, array_y_init, array_pole, array_last_rel_error,
array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole,
array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher,
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));
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))
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
> # Begin Function number 6
> check_for_pole := proc()
> global
> ALWAYS,
> INFO,
> glob_iolevel,
> DEBUGL,
> DEBUGMASSIVE,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_smallish_float,
> glob_dump,
> glob_optimal_start,
> glob_no_eqs,
> glob_max_minutes,
> glob_abserr,
> glob_optimal_done,
> glob_initial_pass,
> glob_start,
> glob_orig_start_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_relerr,
> glob_log10_relerr,
> glob_hmin_init,
> glob_disp_incr,
> glob_clock_start_sec,
> days_in_year,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_log10abserr,
> glob_last_good_h,
> glob_log10normmin,
> glob_small_float,
> glob_max_hours,
> glob_log10_abserr,
> glob_clock_sec,
> sec_in_min,
> djd_debug2,
> glob_display_flag,
> glob_dump_analytic,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_trunc_err,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_not_yet_start_msg,
> hours_in_day,
> min_in_hour,
> glob_warned2,
> glob_look_poles,
> centuries_in_millinium,
> years_in_century,
> djd_debug,
> glob_log10relerr,
> glob_hmax,
> glob_reached_optimal_h,
> glob_almost_1,
> glob_percent_done,
> glob_large_float,
> glob_hmin,
> glob_h,
> glob_not_yet_finished,
> glob_html_log,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1,
> array_const_1D0,
> #END CONST
> array_y,
> array_x,
> array_type_pole,
> array_y_init,
> array_pole,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_1st_rel_error,
> array_y_set_initial,
> array_poles,
> array_complex_pole,
> array_real_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_y_higher,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #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 ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(array_y_higher[1,m-2]) < 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-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> 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 (abs(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
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y_higher[1,m-5]) >= (glob_large_float)) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := 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 ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (abs(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 (abs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * 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 := false;
> #TOP WHICH RADII EQ = 1
> if not found 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 := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found 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] > 0.0) 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 := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found 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 := true;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found 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] > 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 := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found 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 := true;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> 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
> #BOTTOM CHECK FOR POLE
> display_pole();
> # End Function number 6
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found;
global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms,
glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec,
glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start,
glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done,
glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned,
glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr,
glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year,
glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr,
glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours,
glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2,
glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter,
glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter,
glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2,
glob_look_poles, centuries_in_millinium, years_in_century, djd_debug,
glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1,
glob_percent_done, glob_large_float, glob_hmin, glob_h,
glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0,
array_const_0D0, array_const_1, array_const_1D0, array_y, array_x,
array_type_pole, array_y_init, array_pole, array_last_rel_error,
array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole,
array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher,
glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or
abs(array_y_higher[1, m - 1]) < glob_small_float or
abs(array_y_higher[1, m - 2]) < 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 - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
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 < abs(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
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= abs(array_y_higher[1, m]) or
glob_large_float <= abs(array_y_higher[1, m - 1]) or
glob_large_float <= abs(array_y_higher[1, m - 2]) or
glob_large_float <= abs(array_y_higher[1, m - 3]) or
glob_large_float <= abs(array_y_higher[1, m - 4]) or
glob_large_float <= abs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := 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 abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < abs(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 < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*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 := false;
if not found 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 := true;
array_type_pole[1] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found 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 0. < 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 := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found 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 := true;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < 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 := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found 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 := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") 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;
display_pole()
end proc
> # Begin Function number 7
> get_norms := proc()
> global
> ALWAYS,
> INFO,
> glob_iolevel,
> DEBUGL,
> DEBUGMASSIVE,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_smallish_float,
> glob_dump,
> glob_optimal_start,
> glob_no_eqs,
> glob_max_minutes,
> glob_abserr,
> glob_optimal_done,
> glob_initial_pass,
> glob_start,
> glob_orig_start_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_relerr,
> glob_log10_relerr,
> glob_hmin_init,
> glob_disp_incr,
> glob_clock_start_sec,
> days_in_year,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_log10abserr,
> glob_last_good_h,
> glob_log10normmin,
> glob_small_float,
> glob_max_hours,
> glob_log10_abserr,
> glob_clock_sec,
> sec_in_min,
> djd_debug2,
> glob_display_flag,
> glob_dump_analytic,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_trunc_err,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_not_yet_start_msg,
> hours_in_day,
> min_in_hour,
> glob_warned2,
> glob_look_poles,
> centuries_in_millinium,
> years_in_century,
> djd_debug,
> glob_log10relerr,
> glob_hmax,
> glob_reached_optimal_h,
> glob_almost_1,
> glob_percent_done,
> glob_large_float,
> glob_hmin,
> glob_h,
> glob_not_yet_finished,
> glob_html_log,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1,
> array_const_1D0,
> #END CONST
> array_y,
> array_x,
> array_type_pole,
> array_y_init,
> array_pole,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_1st_rel_error,
> array_y_set_initial,
> array_poles,
> array_complex_pole,
> array_real_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_y_higher,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 2
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := abs(array_y[iii]);
> fi;# end if 3
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 2
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms,
glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec,
glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start,
glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done,
glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned,
glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr,
glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year,
glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr,
glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours,
glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2,
glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter,
glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter,
glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2,
glob_look_poles, centuries_in_millinium, years_in_century, djd_debug,
glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1,
glob_percent_done, glob_large_float, glob_hmin, glob_h,
glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0,
array_const_0D0, array_const_1, array_const_1D0, array_y, array_x,
array_type_pole, array_y_init, array_pole, array_last_rel_error,
array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole,
array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher,
glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y[iii]) then
array_norms[iii] := abs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> ALWAYS,
> INFO,
> glob_iolevel,
> DEBUGL,
> DEBUGMASSIVE,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_smallish_float,
> glob_dump,
> glob_optimal_start,
> glob_no_eqs,
> glob_max_minutes,
> glob_abserr,
> glob_optimal_done,
> glob_initial_pass,
> glob_start,
> glob_orig_start_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_relerr,
> glob_log10_relerr,
> glob_hmin_init,
> glob_disp_incr,
> glob_clock_start_sec,
> days_in_year,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_log10abserr,
> glob_last_good_h,
> glob_log10normmin,
> glob_small_float,
> glob_max_hours,
> glob_log10_abserr,
> glob_clock_sec,
> sec_in_min,
> djd_debug2,
> glob_display_flag,
> glob_dump_analytic,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_trunc_err,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_not_yet_start_msg,
> hours_in_day,
> min_in_hour,
> glob_warned2,
> glob_look_poles,
> centuries_in_millinium,
> years_in_century,
> djd_debug,
> glob_log10relerr,
> glob_hmax,
> glob_reached_optimal_h,
> glob_almost_1,
> glob_percent_done,
> glob_large_float,
> glob_hmin,
> glob_h,
> glob_not_yet_finished,
> glob_html_log,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1,
> array_const_1D0,
> #END CONST
> array_y,
> array_x,
> array_type_pole,
> array_y_init,
> array_pole,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_1st_rel_error,
> array_y_set_initial,
> array_poles,
> array_complex_pole,
> array_real_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_y_higher,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> # emit pre mult $eq_no = 1 i = 1
> array_tmp1[1] := (array_m1[1] * (array_const_2D0[1]));
> # emit pre mult $eq_no = 1 i = 1
> array_tmp2[1] := (array_tmp1[1] * (array_x[1]));
> # emit pre mult $eq_no = 1 i = 1
> array_tmp3[1] := (array_x[1] * (array_x[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp4[1] := array_tmp3[1] + array_const_1D0[1];
> #emit pre div $eq_no = 1 i = 1
> array_tmp5[1] := (array_tmp2[1] / (array_tmp4[1]));
> # emit pre mult $eq_no = 1 i = 1
> array_tmp6[1] := (array_x[1] * (array_x[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp7[1] := array_tmp6[1] + array_const_1D0[1];
> #emit pre div $eq_no = 1 i = 1
> array_tmp8[1] := (array_tmp5[1] / (array_tmp7[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp9[1] := array_const_0D0[1] + array_tmp8[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_tmp9[1] * (glob_h ^ (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,1] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> # emit pre mult $eq_no = 1 i = 2
> array_tmp1[2] := ats(2,array_m1,array_const_2D0,1);
> # emit pre mult $eq_no = 1 i = 2
> array_tmp2[2] := ats(2,array_tmp1,array_x,1);
> # emit pre mult $eq_no = 1 i = 2
> array_tmp3[2] := ats(2,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2] + array_const_1D0[2];
> #emit pre div $eq_no = 1 i = 2
> array_tmp5[2] := ((array_tmp2[2] - ats(2,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> # emit pre mult $eq_no = 1 i = 2
> array_tmp6[2] := ats(2,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 2
> array_tmp7[2] := array_tmp6[2] + array_const_1D0[2];
> #emit pre div $eq_no = 1 i = 2
> array_tmp8[2] := ((array_tmp5[2] - ats(2,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add $eq_no = 1 i = 2
> array_tmp9[2] := array_const_0D0[2] + array_tmp8[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_tmp9[2] * (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 mult $eq_no = 1 i = 3
> array_tmp1[3] := ats(3,array_m1,array_const_2D0,1);
> # emit pre mult $eq_no = 1 i = 3
> array_tmp2[3] := ats(3,array_tmp1,array_x,1);
> # emit pre mult $eq_no = 1 i = 3
> array_tmp3[3] := ats(3,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3] + array_const_1D0[3];
> #emit pre div $eq_no = 1 i = 3
> array_tmp5[3] := ((array_tmp2[3] - ats(3,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> # emit pre mult $eq_no = 1 i = 3
> array_tmp6[3] := ats(3,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 3
> array_tmp7[3] := array_tmp6[3] + array_const_1D0[3];
> #emit pre div $eq_no = 1 i = 3
> array_tmp8[3] := ((array_tmp5[3] - ats(3,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add $eq_no = 1 i = 3
> array_tmp9[3] := array_const_0D0[3] + array_tmp8[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_tmp9[3] * (glob_h ^ (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> # emit pre mult $eq_no = 1 i = 4
> array_tmp1[4] := ats(4,array_m1,array_const_2D0,1);
> # emit pre mult $eq_no = 1 i = 4
> array_tmp2[4] := ats(4,array_tmp1,array_x,1);
> # emit pre mult $eq_no = 1 i = 4
> array_tmp3[4] := ats(4,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4] + array_const_1D0[4];
> #emit pre div $eq_no = 1 i = 4
> array_tmp5[4] := ((array_tmp2[4] - ats(4,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> # emit pre mult $eq_no = 1 i = 4
> array_tmp6[4] := ats(4,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 4
> array_tmp7[4] := array_tmp6[4] + array_const_1D0[4];
> #emit pre div $eq_no = 1 i = 4
> array_tmp8[4] := ((array_tmp5[4] - ats(4,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add $eq_no = 1 i = 4
> array_tmp9[4] := array_const_0D0[4] + array_tmp8[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_tmp9[4] * (glob_h ^ (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,4] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> # emit pre mult $eq_no = 1 i = 5
> array_tmp1[5] := ats(5,array_m1,array_const_2D0,1);
> # emit pre mult $eq_no = 1 i = 5
> array_tmp2[5] := ats(5,array_tmp1,array_x,1);
> # emit pre mult $eq_no = 1 i = 5
> array_tmp3[5] := ats(5,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5] + array_const_1D0[5];
> #emit pre div $eq_no = 1 i = 5
> array_tmp5[5] := ((array_tmp2[5] - ats(5,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> # emit pre mult $eq_no = 1 i = 5
> array_tmp6[5] := ats(5,array_x,array_x,1);
> #emit pre add $eq_no = 1 i = 5
> array_tmp7[5] := array_tmp6[5] + array_const_1D0[5];
> #emit pre div $eq_no = 1 i = 5
> array_tmp8[5] := ((array_tmp5[5] - ats(5,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add $eq_no = 1 i = 5
> array_tmp9[5] := array_const_0D0[5] + array_tmp8[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_tmp9[5] * (glob_h ^ (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,5] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit mult $eq_no = 1
> array_tmp1[kkk] := ats(kkk,array_m1,array_const_2D0,1);
> #emit mult $eq_no = 1
> array_tmp2[kkk] := ats(kkk,array_tmp1,array_x,1);
> #emit mult $eq_no = 1
> array_tmp3[kkk] := ats(kkk,array_x,array_x,1);
> #emit add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk];
> #emit div $eq_no = 1
> array_tmp5[kkk] := ((array_tmp2[kkk] - ats(kkk,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit mult $eq_no = 1
> array_tmp6[kkk] := ats(kkk,array_x,array_x,1);
> #emit add $eq_no = 1
> array_tmp7[kkk] := array_tmp6[kkk] + array_const_1D0[kkk];
> #emit div $eq_no = 1
> array_tmp8[kkk] := ((array_tmp5[kkk] - ats(kkk,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit add $eq_no = 1
> array_tmp9[kkk] := array_const_0D0[kkk] + array_tmp8[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_tmp9[kkk] * (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 := 2;
> while (adj2 <= order_d + 1) and (term >= 1) do # do number 2
> temporary := temporary / glob_h * convfp(adj2);
> array_y_higher[adj2,term] := temporary;
> adj2 := adj2 + 1;
> term := term - 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
> # End Function number 8
> end;
atomall := proc()
local kkk, order_d, adj2, temporary, term;
global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms,
glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec,
glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start,
glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done,
glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned,
glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr,
glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year,
glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr,
glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours,
glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2,
glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter,
glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter,
glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2,
glob_look_poles, centuries_in_millinium, years_in_century, djd_debug,
glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1,
glob_percent_done, glob_large_float, glob_hmin, glob_h,
glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0,
array_const_0D0, array_const_1, array_const_1D0, array_y, array_x,
array_type_pole, array_y_init, array_pole, array_last_rel_error,
array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole,
array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher,
glob_last;
array_tmp1[1] := array_m1[1]*array_const_2D0[1];
array_tmp2[1] := array_tmp1[1]*array_x[1];
array_tmp3[1] := array_x[1]*array_x[1];
array_tmp4[1] := array_tmp3[1] + array_const_1D0[1];
array_tmp5[1] := array_tmp2[1]/array_tmp4[1];
array_tmp6[1] := array_x[1]*array_x[1];
array_tmp7[1] := array_tmp6[1] + array_const_1D0[1];
array_tmp8[1] := array_tmp5[1]/array_tmp7[1];
array_tmp9[1] := array_const_0D0[1] + array_tmp8[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp9[1]*glob_h*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := ats(2, array_m1, array_const_2D0, 1);
array_tmp2[2] := ats(2, array_tmp1, array_x, 1);
array_tmp3[2] := ats(2, array_x, array_x, 1);
array_tmp4[2] := array_tmp3[2] + array_const_1D0[2];
array_tmp5[2] :=
(array_tmp2[2] - ats(2, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[2] := ats(2, array_x, array_x, 1);
array_tmp7[2] := array_tmp6[2] + array_const_1D0[2];
array_tmp8[2] :=
(array_tmp5[2] - ats(2, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[2] := array_const_0D0[2] + array_tmp8[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp9[2]*glob_h*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := ats(3, array_m1, array_const_2D0, 1);
array_tmp2[3] := ats(3, array_tmp1, array_x, 1);
array_tmp3[3] := ats(3, array_x, array_x, 1);
array_tmp4[3] := array_tmp3[3] + array_const_1D0[3];
array_tmp5[3] :=
(array_tmp2[3] - ats(3, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[3] := ats(3, array_x, array_x, 1);
array_tmp7[3] := array_tmp6[3] + array_const_1D0[3];
array_tmp8[3] :=
(array_tmp5[3] - ats(3, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[3] := array_const_0D0[3] + array_tmp8[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp9[3]*glob_h*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := ats(4, array_m1, array_const_2D0, 1);
array_tmp2[4] := ats(4, array_tmp1, array_x, 1);
array_tmp3[4] := ats(4, array_x, array_x, 1);
array_tmp4[4] := array_tmp3[4] + array_const_1D0[4];
array_tmp5[4] :=
(array_tmp2[4] - ats(4, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[4] := ats(4, array_x, array_x, 1);
array_tmp7[4] := array_tmp6[4] + array_const_1D0[4];
array_tmp8[4] :=
(array_tmp5[4] - ats(4, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[4] := array_const_0D0[4] + array_tmp8[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp9[4]*glob_h*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := ats(5, array_m1, array_const_2D0, 1);
array_tmp2[5] := ats(5, array_tmp1, array_x, 1);
array_tmp3[5] := ats(5, array_x, array_x, 1);
array_tmp4[5] := array_tmp3[5] + array_const_1D0[5];
array_tmp5[5] :=
(array_tmp2[5] - ats(5, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[5] := ats(5, array_x, array_x, 1);
array_tmp7[5] := array_tmp6[5] + array_const_1D0[5];
array_tmp8[5] :=
(array_tmp5[5] - ats(5, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[5] := array_const_0D0[5] + array_tmp8[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp9[5]*glob_h*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := ats(kkk, array_m1, array_const_2D0, 1);
array_tmp2[kkk] := ats(kkk, array_tmp1, array_x, 1);
array_tmp3[kkk] := ats(kkk, array_x, array_x, 1);
array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk];
array_tmp5[kkk] := (
array_tmp2[kkk] - ats(kkk, array_tmp4, array_tmp5, 2))/
array_tmp4[1];
array_tmp6[kkk] := ats(kkk, array_x, array_x, 1);
array_tmp7[kkk] := array_tmp6[kkk] + array_const_1D0[kkk];
array_tmp8[kkk] := (
array_tmp5[kkk] - ats(kkk, array_tmp7, array_tmp8, 2))/
array_tmp7[1];
array_tmp9[kkk] := array_const_0D0[kkk] + array_tmp8[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_tmp9[kkk]*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 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_y_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= 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);
> fi;
> fi;
> # End Function number 1
> 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
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> 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
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> 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
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_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,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= 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)
> fi;
> # End Function number 1
> 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
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> 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 5
> 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 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, "Unknown")
end if;
fprintf(fd, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> 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 10
> 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 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 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
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> 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 + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_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 + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_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 11
> 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 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_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
+ array_aa[iii_att]*array_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
> # Begin Function number 5
> 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 11
> 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 11
> # End Function number 5
> 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
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> 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
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> 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 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> 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
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> 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 (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> 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 < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
>
> # Begin Function number 17
> factorial_1 := proc(nnn)
> nnn!;
>
> # End Function number 17
> end;
factorial_1 := proc(nnn) nnn! end proc
>
> # Begin Function number 18
> factorial_3 := proc(mmm2,nnn2)
> (mmm2!)/(nnn2!);
>
> # End Function number 18
> end;
factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> 1.0 / (x * x + 1.0);
> end;
exact_soln_y := proc(x) 1.0/(x*x + 1.0) end proc
>
>
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> mainprog := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp;
> #Top Generate Globals Definition
> #Bottom Generate Globals Deninition
> global
> ALWAYS,
> INFO,
> glob_iolevel,
> DEBUGL,
> DEBUGMASSIVE,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_curr_iter_when_opt,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_smallish_float,
> glob_dump,
> glob_optimal_start,
> glob_no_eqs,
> glob_max_minutes,
> glob_abserr,
> glob_optimal_done,
> glob_initial_pass,
> glob_start,
> glob_orig_start_sec,
> glob_warned,
> glob_optimal_clock_start_sec,
> glob_relerr,
> glob_log10_relerr,
> glob_hmin_init,
> glob_disp_incr,
> glob_clock_start_sec,
> days_in_year,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_log10abserr,
> glob_last_good_h,
> glob_log10normmin,
> glob_small_float,
> glob_max_hours,
> glob_log10_abserr,
> glob_clock_sec,
> sec_in_min,
> djd_debug2,
> glob_display_flag,
> glob_dump_analytic,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_max_trunc_err,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_not_yet_start_msg,
> hours_in_day,
> min_in_hour,
> glob_warned2,
> glob_look_poles,
> centuries_in_millinium,
> years_in_century,
> djd_debug,
> glob_log10relerr,
> glob_hmax,
> glob_reached_optimal_h,
> glob_almost_1,
> glob_percent_done,
> glob_large_float,
> glob_hmin,
> glob_h,
> glob_not_yet_finished,
> glob_html_log,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1,
> array_const_1D0,
> #END CONST
> array_y,
> array_x,
> array_type_pole,
> array_y_init,
> array_pole,
> array_last_rel_error,
> array_norms,
> array_m1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_1st_rel_error,
> array_y_set_initial,
> array_poles,
> array_complex_pole,
> array_real_pole,
> array_y_higher_work2,
> array_y_higher_work,
> array_y_higher,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> ALWAYS := 1;
> INFO := 2;
> glob_iolevel := 5;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_max_terms := 30;
> glob_normmax := 0.0;
> glob_iter := 0;
> glob_curr_iter_when_opt := 0;
> glob_max_sec := 10000.0;
> glob_unchanged_h_cnt := 0;
> glob_smallish_float := 0.1e-100;
> glob_dump := false;
> glob_optimal_start := 0.0;
> glob_no_eqs := 0;
> glob_max_minutes := 0.0;
> glob_abserr := 0.1e-10;
> glob_optimal_done := false;
> glob_initial_pass := true;
> glob_start := 0;
> glob_orig_start_sec := 0.0;
> glob_warned := false;
> glob_optimal_clock_start_sec := 0.0;
> glob_relerr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_hmin_init := 0.001;
> glob_disp_incr := 0.1;
> glob_clock_start_sec := 0.0;
> days_in_year := 365.0;
> glob_max_opt_iter := 10;
> glob_optimal_expect_sec := 0.1;
> glob_log10abserr := 0.0;
> glob_last_good_h := 0.1;
> glob_log10normmin := 0.1;
> glob_small_float := 0.1e-50;
> glob_max_hours := 0.0;
> glob_log10_abserr := 0.1e-10;
> glob_clock_sec := 0.0;
> sec_in_min := 60.0;
> djd_debug2 := true;
> glob_display_flag := true;
> glob_dump_analytic := false;
> MAX_UNCHANGED := 10;
> glob_current_iter := 0;
> glob_max_trunc_err := 0.1e-10;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_iter := 1000;
> glob_not_yet_start_msg := true;
> hours_in_day := 24.0;
> min_in_hour := 60.0;
> glob_warned2 := false;
> glob_look_poles := false;
> centuries_in_millinium := 10.0;
> years_in_century := 100.0;
> djd_debug := true;
> glob_log10relerr := 0.0;
> glob_hmax := 1.0;
> glob_reached_optimal_h := false;
> glob_almost_1 := 0.9990;
> glob_percent_done := 0.0;
> glob_large_float := 9.0e100;
> glob_hmin := 0.00000000001;
> glob_h := 0.1;
> glob_not_yet_finished := true;
> glob_html_log := true;
> glob_subiter_method := 3;
> #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/sing4postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits := 50;");
> 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 := -2.0;");
> omniout_str(ALWAYS,"x_end := 1.0;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.1;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 50;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> 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,"1.0 / (x * x + 1.0);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> 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;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits := 50;
> 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:= Array(1..(max_terms + 1),[]);
> array_x:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_y_init:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_tmp3:= Array(1..(max_terms + 1),[]);
> array_tmp4:= Array(1..(max_terms + 1),[]);
> array_tmp5:= Array(1..(max_terms + 1),[]);
> array_tmp6:= Array(1..(max_terms + 1),[]);
> array_tmp7:= Array(1..(max_terms + 1),[]);
> array_tmp8:= Array(1..(max_terms + 1),[]);
> array_tmp9:= Array(1..(max_terms + 1),[]);
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> 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_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_init[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_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_norms[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
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_1st_rel_error[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_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_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 <=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 <=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_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[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_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_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_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_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_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_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_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_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_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_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2D0[1] := 2.0;
> array_const_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_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_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
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := -2.0;
> x_end := 1.0;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.1;
> glob_look_poles := true;
> glob_max_iter := 50;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #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);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> 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;
> if glob_html_log then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> 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] * 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]* (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();
> start_array_y();
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := abs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 3
> glob_log10normmin := log10norm;
> fi;# end if 3
> fi;# end if 2
> ;
> display_alot(current_iter)
> ;
> 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 (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 2
> #left paren 0004C
> check_for_pole();
> fi;# end if 2
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 2
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 2
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 2
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if glob_html_log then # if number 2
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-06-16T00:35:57-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sing4")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * 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_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 3
> 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 3
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 3
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 3
> ;
> log_revs(html_log_file," 090 | ")
> ;
> logitem_str(html_log_file,"sing4 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing4 maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 2
> ;
> if glob_html_log then # if number 2
> fclose(html_log_file);
> fi;# end if 2
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
mainprog := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum,
current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp;
global ALWAYS, INFO, glob_iolevel, DEBUGL, DEBUGMASSIVE, glob_max_terms,
glob_normmax, glob_iter, glob_curr_iter_when_opt, glob_max_sec,
glob_unchanged_h_cnt, glob_smallish_float, glob_dump, glob_optimal_start,
glob_no_eqs, glob_max_minutes, glob_abserr, glob_optimal_done,
glob_initial_pass, glob_start, glob_orig_start_sec, glob_warned,
glob_optimal_clock_start_sec, glob_relerr, glob_log10_relerr,
glob_hmin_init, glob_disp_incr, glob_clock_start_sec, days_in_year,
glob_max_opt_iter, glob_optimal_expect_sec, glob_log10abserr,
glob_last_good_h, glob_log10normmin, glob_small_float, glob_max_hours,
glob_log10_abserr, glob_clock_sec, sec_in_min, djd_debug2,
glob_display_flag, glob_dump_analytic, MAX_UNCHANGED, glob_current_iter,
glob_max_trunc_err, glob_max_rel_trunc_err, glob_max_iter,
glob_not_yet_start_msg, hours_in_day, min_in_hour, glob_warned2,
glob_look_poles, centuries_in_millinium, years_in_century, djd_debug,
glob_log10relerr, glob_hmax, glob_reached_optimal_h, glob_almost_1,
glob_percent_done, glob_large_float, glob_hmin, glob_h,
glob_not_yet_finished, glob_html_log, glob_subiter_method, array_const_2D0,
array_const_0D0, array_const_1, array_const_1D0, array_y, array_x,
array_type_pole, array_y_init, array_pole, array_last_rel_error,
array_norms, array_m1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_1st_rel_error, array_y_set_initial, array_poles, array_complex_pole,
array_real_pole, array_y_higher_work2, array_y_higher_work, array_y_higher,
glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
ALWAYS := 1;
INFO := 2;
glob_iolevel := 5;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_max_terms := 30;
glob_normmax := 0.;
glob_iter := 0;
glob_curr_iter_when_opt := 0;
glob_max_sec := 10000.0;
glob_unchanged_h_cnt := 0;
glob_smallish_float := 0.1*10^(-100);
glob_dump := false;
glob_optimal_start := 0.;
glob_no_eqs := 0;
glob_max_minutes := 0.;
glob_abserr := 0.1*10^(-10);
glob_optimal_done := false;
glob_initial_pass := true;
glob_start := 0;
glob_orig_start_sec := 0.;
glob_warned := false;
glob_optimal_clock_start_sec := 0.;
glob_relerr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_disp_incr := 0.1;
glob_clock_start_sec := 0.;
days_in_year := 365.0;
glob_max_opt_iter := 10;
glob_optimal_expect_sec := 0.1;
glob_log10abserr := 0.;
glob_last_good_h := 0.1;
glob_log10normmin := 0.1;
glob_small_float := 0.1*10^(-50);
glob_max_hours := 0.;
glob_log10_abserr := 0.1*10^(-10);
glob_clock_sec := 0.;
sec_in_min := 60.0;
djd_debug2 := true;
glob_display_flag := true;
glob_dump_analytic := false;
MAX_UNCHANGED := 10;
glob_current_iter := 0;
glob_max_trunc_err := 0.1*10^(-10);
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_iter := 1000;
glob_not_yet_start_msg := true;
hours_in_day := 24.0;
min_in_hour := 60.0;
glob_warned2 := false;
glob_look_poles := false;
centuries_in_millinium := 10.0;
years_in_century := 100.0;
djd_debug := true;
glob_log10relerr := 0.;
glob_hmax := 1.0;
glob_reached_optimal_h := false;
glob_almost_1 := 0.9990;
glob_percent_done := 0.;
glob_large_float := 0.90*10^101;
glob_hmin := 0.1*10^(-10);
glob_h := 0.1;
glob_not_yet_finished := true;
glob_html_log := true;
glob_subiter_method := 3;
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/sing4postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.\
0) /( x * x + 1.0);");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits := 50;");
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 := -2.0;");
omniout_str(ALWAYS, "x_end := 1.0;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.1;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 50;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
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, "1.0 / (x * x + 1.0);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
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;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 50;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y := Array(1 .. max_terms + 1, []);
array_x := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_y_init := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_tmp3 := Array(1 .. max_terms + 1, []);
array_tmp4 := Array(1 .. max_terms + 1, []);
array_tmp5 := Array(1 .. max_terms + 1, []);
array_tmp6 := Array(1 .. max_terms + 1, []);
array_tmp7 := Array(1 .. max_terms + 1, []);
array_tmp8 := Array(1 .. max_terms + 1, []);
array_tmp9 := Array(1 .. max_terms + 1, []);
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 2, 1 .. 4, []);
array_complex_pole := Array(1 .. 2, 1 .. 4, []);
array_real_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
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_type_pole[term] := 0.; term := term + 1
end do;
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_pole[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_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp9[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 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_complex_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_real_pole[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_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[ord, term] := 0.; term := term + 1
end do;
ord := ord + 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_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[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_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[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_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[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_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_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_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_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;
x_start := -2.0;
x_end := 1.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.1;
glob_look_poles := true;
glob_max_iter := 50;
glob_h := 0.001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
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);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
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;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*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]*
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();
start_array_y();
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
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 array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
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]/(
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*glob_h^(calc_term - 1)/convfp(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]/(
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*glob_h^(calc_term - 1)/convfp(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]/(
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*glob_h^(calc_term - 1)/convfp(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;
display_alot(current_iter)
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 ) = m1 * 2.0 * x / (x * x + 1.0)\
/( x * 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, "2012-06-16T00:35:57-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "sing4");
logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 2.0 * x / (\
x * x + 1.0) /( x * 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_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_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 090 | ");
logitem_str(html_log_file,
"sing4 diffeq.mxt");
logitem_str(html_log_file,
"sing4 maple results");
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end proc
> mainprog();
##############ECHO OF PROBLEM#################
##############temp/sing4postode.ode#################
diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);
!
#BEGIN FIRST INPUT BLOCK
Digits := 50;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -2.0;
x_end := 1.0;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.1;
glob_look_poles := true;
glob_max_iter := 50;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
1.0 / (x * x + 1.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = -2
y[1] (analytic) = 0.2
y[1] (numeric) = 0.2
absolute error = 0
relative error = 0 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.572
x[1] = -1.999
y[1] (analytic) = 0.20016008803841312281562793922579
y[1] (numeric) = 0.20016008803841312280259461284531
absolute error = 1.303332638048339308860492544834e-20
relative error = 6.5114511630221412354063296144832e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.998
y[1] (analytic) = 0.20032035230741001008813294220117
y[1] (numeric) = 0.20032035230741001006185471122437
absolute error = 2.627823097679469423688110292262e-20
relative error = 1.3118103414908302080928741331413e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.997
y[1] (analytic) = 0.20048079303786340401550999607258
y[1] (numeric) = 0.20048079303786340397577407231289
absolute error = 3.973592375968726322977791423664e-20
relative error = 1.9820314533663390617550130421359e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.996
y[1] (analytic) = 0.20064141046096160204943162301245
y[1] (numeric) = 0.20064141046096160199602400264423
absolute error = 5.340762036822082842937713287864e-20
relative error = 2.6618443443713850042527050030127e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.995
y[1] (analytic) = 0.20080220480820879413255957550414
y[1] (numeric) = 0.20080220480820879406526503337083
absolute error = 6.729454213331199196281435900738e-20
relative error = 3.3512850218744705277461457821573e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.57
x[1] = -1.994
y[1] (analytic) = 0.20096317631142539965546873053169
y[1] (numeric) = 0.20096317631142539957407081443033
absolute error = 8.139791610136701766475236750477e-20
relative error = 4.0503896084538192911244371178897e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.993
y[1] (analytic) = 0.2011243252027484041287605974921
y[1] (numeric) = 0.2011243252027484040330416224341
absolute error = 9.571897505799706773986903236436e-20
relative error = 4.7591943421813926265894808249818e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.992
y[1] (analytic) = 0.20128565171463169556591863550872
y[1] (numeric) = 0.20128565171463169545565967795691
absolute error = 1.1025895755181605325430876859762e-19
relative error = 5.4777355769070546879481423815417e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.568
x[1] = -1.991
y[1] (analytic) = 0.20144715607984640057243223871649
y[1] (numeric) = 0.20144715607984640044741313079817
absolute error = 1.2501910791832126269280949694002e-19
relative error = 6.2060497825428813202938446037951e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.99
y[1] (analytic) = 0.20160883853148122013669079252434
y[1] (numeric) = 0.20160883853148121999669011622049
absolute error = 1.4000067630385693193010389622593e-19
relative error = 6.9441735453476076806650833567024e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
memory used=3.8MB, alloc=3.1MB, time=0.20
x[1] = -1.989
y[1] (analytic) = 0.20177069930294276511812362934642
y[1] (numeric) = 0.20177069930294276496291871065676
absolute error = 1.5520491868966091806104986757436e-19
relative error = 7.6921435682112095888164853073250e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.988
y[1] (analytic) = 0.20193273862795589142803601833872
y[1] (numeric) = 0.20193273862795589125740292142273
absolute error = 1.7063309691599463861361518456024e-19
relative error = 8.4499966709396135364258275452889e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.987
y[1] (analytic) = 0.20209495674056403489856550978756
y[1] (numeric) = 0.2020949567405640347122790310812
absolute error = 1.8628647870635643673216851419922e-19
relative error = 9.2177697905395302318857754473664e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.986
y[1] (analytic) = 0.20225735387512954583515702047411
y[1] (numeric) = 0.20225735387512954563299068278233
absolute error = 2.0216633769177853196535540537954e-19
relative error = 9.9954999815034065062898233385590e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.985
y[1] (analytic) = 0.20241993026633402324792899108846
y[1] (numeric) = 0.20241993026633402302965503765325
absolute error = 2.1827395343520771532300425736313e-19
relative error = 1.0783224416094490354315887073318e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.984
y[1] (analytic) = 0.20258268614917864875727677008648
y[1] (numeric) = 0.20258268614917864852266615863051
absolute error = 2.3461061145596994627985325847732e-19
relative error = 1.1580980384632003831436033262782e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.983
y[1] (analytic) = 0.2027456217589845201690330797729
y[1] (numeric) = 0.20274562175898451991785547651858
absolute error = 2.5117760325431900840025312750234e-19
relative error = 1.2388805295776418476234760979954e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.982
y[1] (analytic) = 0.2029087373313929847144789993515
y[1] (numeric) = 0.20290873733139298444650277301543
absolute error = 2.6797622633606937923721923865507e-19
relative error = 1.3206736676814827873598892671255e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.981
y[1] (analytic) = 0.2030720331023659719504723557026
y[1] (numeric) = 0.20307203310236597166546457146528
absolute error = 2.8500778423731346912111613602832e-19
relative error = 1.4034812173946411921147285767286e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.98
y[1] (analytic) = 0.20323550930818632631493374522397
y[1] (numeric) = 0.20323550930818632601266015867474
absolute error = 3.0227358654922338239769203646343e-19
relative error = 1.4873069552567987307496038962147e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.979
y[1] (analytic) = 0.20339916618545813933290361869491
y[1] (numeric) = 0.20339916618545813901312866975197
absolute error = 3.1977494894293735360197388533737e-19
relative error = 1.5721546697559638656802420908019e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.978
y[1] (analytic) = 0.20356300397110708146835694528471
y[1] (numeric) = 0.20356300397110708113084375209018
absolute error = 3.3751319319453100996351677603106e-19
relative error = 1.6580281613570424739496167459842e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.562
x[1] = -1.977
y[1] (analytic) = 0.20372702290238073361693493101497
y[1] (numeric) = 0.2037270229023807332614452838049
absolute error = 3.5548964721007361052950567497192e-19
relative error = 1.7449312425304154094187839612642e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.976
y[1] (analytic) = 0.20389122321684891823472610068638
y[1] (numeric) = 0.20389122321684891786102045563561
absolute error = 3.7370564505076941106506170129757e-19
relative error = 1.8328677377805224350438360587032e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.975
y[1] (analytic) = 0.20405560515240403009820175997959
y[1] (numeric) = 0.20405560515240402970603923302141
absolute error = 3.9216252695818430274463766308539e-19
relative error = 1.9218414836744519486379399476578e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.974
y[1] (analytic) = 0.20422016894726136669038343562041
y[1] (numeric) = 0.20422016894726136627952179624085
absolute error = 4.1086163937955787148442479035849e-19
relative error = 2.0118563288705359199088672447534e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.973
y[1] (analytic) = 0.20438491483995945820829234564187
y[1] (numeric) = 0.20438491483995945777848801064867
absolute error = 4.2980433499320102358305992956934e-19
relative error = 2.1029161341469494509145212261419e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.972
y[1] (analytic) = 0.20454984306936039718670327836124
y[1] (numeric) = 0.20454984306936039673771130562727
absolute error = 4.4899197273397932213644382834942e-19
relative error = 2.1950247724303143663914924049334e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.1MB, time=0.46
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.971
y[1] (analytic) = 0.20471495387465016773319745719461
y[1] (numeric) = 0.20471495387465016726477153937573
absolute error = 4.6842591781888217747197914013270e-19
relative error = 2.2881861288243062346844000548650e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.97
y[1] (analytic) = 0.20488024749533897436948103833309
y[1] (numeric) = 0.20488024749533897388137349656042
absolute error = 4.8810754177267803360783264790236e-19
relative error = 2.3824041006382642142364703711466e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.969
y[1] (analytic) = 0.20504572417126157047390782907634
y[1] (numeric) = 0.20504572417126156996586960662269
absolute error = 5.0803822245365569148373980298493e-19
relative error = 2.4776825974158031147942311533052e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.968
y[1] (analytic) = 0.20521138414257758632011662573384
y[1] (numeric) = 0.20521138414257758579189728165438
absolute error = 5.2821934407945190843121947396115e-19
relative error = 2.5740255409634270566311348458801e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.967
y[1] (analytic) = 0.20537722764977185670666525093298
y[1] (numeric) = 0.20537722764977185615801295368001
absolute error = 5.4865229725296541205266988611830e-19
relative error = 2.6714368653791441052061223631299e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.966
y[1] (analytic) = 0.20554325493365474817251492038488
y[1] (numeric) = 0.20554325493365474760317644139652
absolute error = 5.6933847898835746536048878650393e-19
relative error = 2.7699205170810812527433741825923e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.965
y[1] (analytic) = 0.20570946623536248579318998812028
y[1] (numeric) = 0.20570946623536248520291069538314
absolute error = 5.9027929273713911868891616693809e-19
relative error = 2.8694804548360991122485264936236e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.964
y[1] (analytic) = 0.20587586179635747955240940638578
y[1] (numeric) = 0.20587586179635747894093325797143
absolute error = 6.1147614841434528253254927194207e-19
relative error = 2.9701206497884056834642214484071e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.556
x[1] = -1.963
y[1] (analytic) = 0.20604244185842865028395739124719
y[1] (numeric) = 0.2060424418584286496510269288224
absolute error = 6.3293046242479575408623853724094e-19
relative error = 3.0718450854881685442137734432505e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.962
y[1] (analytic) = 0.20620920666369175517853180694529
y[1] (numeric) = 0.20620920666369175452388814925585
absolute error = 6.5464365768944332886114953710475e-19
relative error = 3.1746577579201248144857284558154e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.961
y[1] (analytic) = 0.20637615645458971285027967064842
y[1] (numeric) = 0.20637615645458971217366250697661
absolute error = 6.7661716367180912733097850894410e-19
relative error = 3.2785626755321882344739303156373e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.96
y[1] (analytic) = 0.20654329147389292795769993390615
y[1] (numeric) = 0.20654329147389292725884751750164
absolute error = 6.9885241640450526512044465949932e-19
relative error = 3.3835638592640526916071448634319e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.959
y[1] (analytic) = 0.20671061196469961537356431728343
y[1] (numeric) = 0.20671061196469961465221345876758
absolute error = 7.2135085851584499378505686221557e-19
relative error = 3.4896653425757915253790876662599e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.958
y[1] (analytic) = 0.20687811817043612389847745980151
y[1] (numeric) = 0.20687811817043612315436352054497
absolute error = 7.4411393925654043774656967953835e-19
relative error = 3.5968711714764519325236096404440e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.957
y[1] (analytic) = 0.20704581033485725951266799438243
y[1] (numeric) = 0.20704581033485725874552487985595
absolute error = 7.6714311452648805144230655310900e-19
relative error = 3.7051854045526437887705728632270e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.956
y[1] (analytic) = 0.20721368870204660816057237393948
y[1] (numeric) = 0.20721368870204660737013252703784
absolute error = 7.9043984690164191921843767264351e-19
relative error = 3.8146121129971221970653502281665e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.955
y[1] (analytic) = 0.20738175351641685806274334952639
y[1] (numeric) = 0.20738175351641685724873774386542
absolute error = 8.1400560566097501894715613190365e-19
relative error = 3.9251553806373630657386605469427e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.3MB, time=0.72
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.954
y[1] (analytic) = 0.20755000502271012154958494149996
y[1] (numeric) = 0.20755000502271012071174307468643
absolute error = 8.3784186681352856877529666718890e-19
relative error = 4.0368193039641310136733572769295e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.953
y[1] (analytic) = 0.20771844346599825641138554641064
y[1] (numeric) = 0.20771844346599825554943543328509
absolute error = 8.6195011312554957481708318855184e-19
relative error = 4.1496079921600388930305752400750e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.952
y[1] (analytic) = 0.20788706909168318675909048575724
y[1] (numeric) = 0.20788706909168318587275865160952
absolute error = 8.8633183414771669598616956403358e-19
relative error = 4.2635255671280982135690553985490e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.951
y[1] (analytic) = 0.20805588214549722339022482726681
y[1] (numeric) = 0.20805588214549722247923630102435
absolute error = 9.1098852624245454052174626979081e-19
relative error = 4.3785761635202597460182617928688e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.95
y[1] (analytic) = 0.20822488287350338365434669442998
y[1] (numeric) = 0.20822488287350338271842500181865
absolute error = 9.3592169261133650710001559113252e-19
relative error = 4.4947639287659435753478248764139e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.949
y[1] (analytic) = 0.20839407152209571081238052507387
y[1] (numeric) = 0.20839407152209570985124768175129
absolute error = 9.6113284332257628173558050852499e-19
relative error = 4.6120930231005578681126383637885e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.948
y[1] (analytic) = 0.20856344833799959288414884422479
y[1] (numeric) = 0.20856344833799959189752534888619
absolute error = 9.8662349533860809996703611636105e-19
relative error = 4.7305676195940056113443479352608e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.549
x[1] = -1.947
y[1] (analytic) = 0.20873301356827208097839007983829
y[1] (numeric) = 0.20873301356827207996599490729453
absolute error = 1.0123951725437558820870847092240e-18
relative error = 4.8501919041791785737057442087130e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.946
y[1] (analytic) = 0.20890276746030220709951877158488
y[1] (numeric) = 0.20890276746030220606106936581289
absolute error = 1.0384494057719913474196022498692e-18
relative error = 4.9709700756804377328244527235348e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.945
y[1] (analytic) = 0.2090727102618113014253532022099
y[1] (numeric) = 0.20907271026181130036056546937512
absolute error = 1.0647877328347812118640489255453e-18
relative error = 5.0929063458420794058760426121064e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.944
y[1] (analytic) = 0.20924284222085330905000401746257
y[1] (numeric) = 0.20924284222085330795859231891355
absolute error = 1.0914116985490235711212224160085e-18
relative error = 5.2160049393567863135939944123532e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.943
y[1] (analytic) = 0.20941316358581510618608579364134
y[1] (numeric) = 0.20941316358581510506776293887626
absolute error = 1.1183228547650735701833802301672e-18
relative error = 5.3402700938940628009446162607255e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.942
y[1] (analytic) = 0.20958367460541681582038176085497
y[1] (numeric) = 0.20958367460541681467485900046011
absolute error = 1.1455227603948584578159862823852e-18
relative error = 5.4657060601286534307187155722666e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.941
y[1] (analytic) = 0.20975437552871212281705999457575
y[1] (numeric) = 0.20975437552871212164404701313567
absolute error = 1.1730129814400821228775443987567e-18
relative error = 5.5923171017689441592583582477292e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.94
y[1] (analytic) = 0.20992526660508858846250734738433
y[1] (numeric) = 0.20992526660508858726171225636381
absolute error = 1.2007950910205192074179436438286e-18
relative error = 5.7201074955853452964561163417417e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.939
y[1] (analytic) = 0.2100963480842679644458152063955
y[1] (numeric) = 0.2100963480842679632169445369931
absolute error = 1.2288706694023988895642315558046e-18
relative error = 5.8490815314386554450355537850258e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.938
y[1] (analytic) = 0.21026762021630650626891882912896
y[1] (numeric) = 0.21026762021630650501167752510208
absolute error = 1.2572413040268784272455242204099e-18
relative error = 5.9792435123084056069450628904912e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.937
y[1] (analytic) = 0.21043908325159528608035953096495
y[1] (numeric) = 0.21043908325159528479445094142635
absolute error = 1.2859085895386065518256275679657e-18
relative error = 6.1105977543211826374722756085184e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.3MB, time=0.99
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.936
y[1] (analytic) = 0.21061073744086050492660637021661
y[1] (numeric) = 0.21061073744086050361173224240223
absolute error = 1.3148741278143767987026516226735e-18
relative error = 6.2431485867789312204128653590095e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.935
y[1] (analytic) = 0.21078258303516380441484120167151
y[1] (numeric) = 0.21078258303516380307070167367964
absolute error = 1.3441395279918708598992162453682e-18
relative error = 6.3769003521872335303053591916817e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.934
y[1] (analytic) = 0.21095462028590257778107804561514
y[1] (numeric) = 0.21095462028590257640737163911665
absolute error = 1.3737064064984920416045390583675e-18
relative error = 6.5118574062835657403723263525667e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.933
y[1] (analytic) = 0.21112684944481028035745464625802
y[1] (numeric) = 0.21112684944481027895387825917773
absolute error = 1.4035763870802889075405278699923e-18
relative error = 6.6480241180655305273877273104120e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.932
y[1] (analytic) = 0.211299270763956739432500870553
y[1] (numeric) = 0.21129927076395673799874976972203
absolute error = 1.4337511008309691869077334420622e-18
relative error = 6.7854048698190647172200250735063e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.931
y[1] (analytic) = 0.2114718844957484634981552250156
y[1] (numeric) = 0.2114718844957484620339230387946
absolute error = 1.4642321862210040235234145396809e-18
relative error = 6.9240040571466212072806052620759e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.93
y[1] (analytic) = 0.21164469089292895087726724375119
y[1] (numeric) = 0.21164469089292894938224595462437
absolute error = 1.4950212891268226405927847901633e-18
relative error = 7.0638260889953242945368488550427e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.929
y[1] (analytic) = 0.21181769020857899772528982485007
y[1] (numeric) = 0.21181769020857899619916976198997
absolute error = 1.5261200628600974933555071155023e-18
relative error = 7.2048753876850975301285766680780e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.928
y[1] (analytic) = 0.21199088269611700539983176403549
y[1] (numeric) = 0.21199088269611700384230159583837
absolute error = 1.5575301681971199796224317754102e-18
relative error = 7.3471563889367632139552612120568e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.927
y[1] (analytic) = 0.21216426860929928719170675333718
y[1] (numeric) = 0.21216426860929928560245347992892
absolute error = 1.5892532734082667759621919667991e-18
relative error = 7.4906735419001126348791023006813e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.926
y[1] (analytic) = 0.21233784820222037441108097801114
y[1] (numeric) = 0.21233784820222037278978992372358
absolute error = 1.6212910542875568650133282769581e-18
relative error = 7.6354313091819461544155092004554e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.925
y[1] (analytic) = 0.21251162172931332182228715632886
y[1] (numeric) = 0.21251162172931332016864196214656
absolute error = 1.6536451941822993170848600826649e-18
relative error = 7.7814341668740822239574447264901e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.924
y[1] (analytic) = 0.21268558944535001242083842360844
y[1] (numeric) = 0.21268558944535001073452103958561
absolute error = 1.6863173840228318868664064108386e-18
relative error = 7.9286866045813344177031848687273e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.54
x[1] = -1.923
y[1] (analytic) = 0.21285975160544146154614086334638
y[1] (numeric) = 0.21285975160544145982683154099403
absolute error = 1.7193093223523504836978271859905e-18
relative error = 8.0771931254494555555280495740531e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.922
y[1] (analytic) = 0.21303410846503812032336873392125
y[1] (numeric) = 0.21303410846503811857074601856442
absolute error = 1.7526227153568295714476527057243e-18
relative error = 8.2269582461930479820592834034973e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.921
y[1] (analytic) = 0.21320866027993017842793152846517
y[1] (numeric) = 0.21320866027993017664167225157013
absolute error = 1.7862592768950335516190372792701e-18
relative error = 8.3779864971234390601792250277611e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.92
y[1] (analytic) = 0.21338340730624786616592693752134
y[1] (numeric) = 0.21338340730624786434570620899272
absolute error = 1.8202207285286191808413530472985e-18
relative error = 8.5302824221765209290949169208598e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
memory used=19.0MB, alloc=4.3MB, time=1.26
x[1] = -1.919
y[1] (analytic) = 0.21355834980046175586393855840853
y[1] (numeric) = 0.2135583498004617540094297588562
absolute error = 1.8545087995523290714145710152969e-18
relative error = 8.6838505789405535689720850679596e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.918
y[1] (analytic) = 0.21373348801938306256150181117758
y[1] (numeric) = 0.2137334880193830606723765841533
absolute error = 1.8891252270242763210519953372527e-18
relative error = 8.8386955386839302059376758322921e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.917
y[1] (analytic) = 0.21390882222016394399952597804996
y[1] (numeric) = 0.21390882222016394207545422225364
absolute error = 1.9240717557963203154144590483724e-18
relative error = 8.9948218863829040830075850461864e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.916
y[1] (analytic) = 0.21408435266029779989792458065157
y[1] (numeric) = 0.21408435266029779793857444210704
absolute error = 1.9593501385445337444454880284422e-18
relative error = 9.1522342207492756141945635281829e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.915
y[1] (analytic) = 0.21426007959761957051567044657157
y[1] (numeric) = 0.21426007959761956852070831077181
absolute error = 1.9949621357997608709019263298077e-18
relative error = 9.3109371542580389306952431146368e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.914
y[1] (analytic) = 0.21443600329030603448645579316018
y[1] (numeric) = 0.21443600329030603245554627718191
absolute error = 2.0309095159782670868278195484426e-18
relative error = 9.4709353131749868196445063709290e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.913
y[1] (analytic) = 0.21461212399687610592310147140218
y[1] (numeric) = 0.2146121239968761038559074159897
absolute error = 2.0671940554124797910407011386596e-18
relative error = 9.6322333375842730474597287639630e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.912
y[1] (analytic) = 0.21478844197619113078382316553487
y[1] (numeric) = 0.21478844197619112868000562715305
absolute error = 2.1038175383818206179885450087753e-18
relative error = 9.7948358814159310512764604933354e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.911
y[1] (analytic) = 0.21496495748745518249342583418764
y[1] (numeric) = 0.21496495748745518035264407704401
absolute error = 2.1407817571436290455922599638710e-18
relative error = 9.9587476124733479734005915633909e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.535
x[1] = -1.91
y[1] (analytic) = 0.21514167079021535681246100557217
y[1] (numeric) = 0.21514167079021535463437249360799
absolute error = 2.1780885119641774069124291891289e-18
relative error = 1.0123973212460693005069662113990e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.909
y[1] (analytic) = 0.21531858214436206594734470201092
y[1] (numeric) = 0.21531858214436206373160509086115
absolute error = 2.2157396111497773276697606171384e-18
relative error = 1.0290517377010298997127443508724e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.908
y[1] (analytic) = 0.21549569181012933189439676721983
y[1] (numeric) = 0.21549569181012932964065989614185
absolute error = 2.2537368710779776088061293254361e-18
relative error = 1.0458384815709996286470926114031e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.907
y[1] (analytic) = 0.21567300004809507901072520261939
y[1] (numeric) = 0.21567300004809507671864308639054
absolute error = 2.2920821162288535703968766915504e-18
relative error = 1.0627580252130397678327107915000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.906
y[1] (analytic) = 0.21585050711918142580484178589529
y[1] (numeric) = 0.2158505071191814234740646066789
absolute error = 2.3307771792163878703148965005642e-18
relative error = 1.0798108423852133515558183844088e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.905
y[1] (analytic) = 0.21602821328465497593985774542155
y[1] (numeric) = 0.21602821328465497357003384460161
absolute error = 2.3698239008199428081026971351409e-18
relative error = 1.0969974082493035757277587605995e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.904
y[1] (analytic) = 0.21620611880612710844207059735156
y[1] (numeric) = 0.21620611880612710603284646733574
absolute error = 2.4092241300158241215297909208702e-18
relative error = 1.1143181993735269980085533443864e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.903
y[1] (analytic) = 0.21638422394555426710771541752743
y[1] (numeric) = 0.21638422394555426465873569351849
absolute error = 2.4489797240089362802991341402481e-18
relative error = 1.1317736937352414206200941207950e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.902
y[1] (analytic) = 0.21656252896523824910061581720737
y[1] (numeric) = 0.21656252896523824661152326894284
absolute error = 2.4890925482645292783176295933014e-18
relative error = 1.1493643707236483453676599680547e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.3MB, time=1.52
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.901
y[1] (analytic) = 0.21674103412782649273343171931343
y[1] (numeric) = 0.21674103412782649020386724277339
absolute error = 2.5295644765400369228616112240140e-18
relative error = 1.1670907111424898894735824726967e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9
y[1] (analytic) = 0.21691973969631236442516268980477
y[1] (numeric) = 0.21691973969631236185476529888777
absolute error = 2.5703973909170066158484585153144e-18
relative error = 1.1849531972127400499061393755599e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 3.531
x[1] = -1.899
y[1] (analytic) = 0.21709864593403544482752706623094
y[1] (numeric) = 0.21709864593403544221593388439781
absolute error = 2.6115931818331206192697362495639e-18
relative error = 1.2029523125752902029600878382477e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 3.53
x[1] = -1.898
y[1] (analytic) = 0.21727775310468181411279844185778
y[1] (numeric) = 0.21727775310468181145964469374347
absolute error = 2.6531537481143087936492198946746e-18
relative error = 1.2210885422936287249126344240130e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 3.53
x[1] = -1.897
y[1] (analytic) = 0.21745706147228433641564220832865
y[1] (numeric) = 0.2174570614722843337205612113217
absolute error = 2.6950809970069527951605432451946e-18
relative error = 1.2393623728565146186400430612241e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 3.53
x[1] = -1.896
y[1] (analytic) = 0.21763657130122294342145583196367
y[1] (numeric) = 0.21763657130122294068407898775349
absolute error = 2.7373768442101817137736858266322e-18
relative error = 1.2577742921806450301354752015183e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 3.529
x[1] = -1.895
y[1] (analytic) = 0.21781628285622491709367733784939
y[1] (numeric) = 0.21781628285622491431363412394113
absolute error = 2.7800432139082591314967936185361e-18
relative error = 1.2763247896133165379180066922540e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 3.529
x[1] = -1.894
y[1] (analytic) = 0.21799619640236517153248710116506
y[1] (numeric) = 0.217996196402365168709405062362
absolute error = 2.8230820388030615764395863689542e-18
relative error = 1.2950143559350800973660422416776e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 3.529
x[1] = -1.893
y[1] (analytic) = 0.21817631220506653395728849606486
y[1] (numeric) = 0.21817631220506653109079323591821
absolute error = 2.8664952601466483450465344924595e-18
relative error = 1.3138434833623895210455193472929e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 3.529
x[1] = -1.892
y[1] (analytic) = 0.21835663053010002480531322821936
y[1] (numeric) = 0.21835663053010002189502840044544
absolute error = 2.9102848277739226614317724176260e-18
relative error = 1.3328126655502433751343276597195e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 3.528
x[1] = -1.891
y[1] (analytic) = 0.2185371516435851369386572771451
y[1] (numeric) = 0.21853715164358513398420457700972
absolute error = 2.9544527001353841392930352364463e-18
relative error = 1.3519223975948201710692353370785e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 3.528
x[1] = -1.89
y[1] (analytic) = 0.21871787581199011395201329804685
y[1] (numeric) = 0.21871787581199011095301245371688
absolute error = 2.9990008443299725083884413615302e-18
relative error = 1.3711731760361067305602792749052e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 3.528
x[1] = -1.889
y[1] (analytic) = 0.21889880330213222757332507938912
y[1] (numeric) = 0.21889880330213222452939384325112
absolute error = 3.0439312361380025640273731538641e-18
relative error = 1.3905654988605196011300093353634e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 3.527
x[1] = -1.888
y[1] (analytic) = 0.21907993438117805414954922112702
y[1] (numeric) = 0.21907993438117805106030336107283
absolute error = 3.0892458600541902944547054522159e-18
relative error = 1.4100998655035193983411459043679e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 3.527
x[1] = -1.887
y[1] (analytic) = 0.21926126931664375020966858878404
y[1] (numeric) = 0.21926126931664374707472187946327
absolute error = 3.1349467093207701373958716815011e-18
relative error = 1.4297767768522179498760832292968e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 3.527
x[1] = -1.886
y[1] (analytic) = 0.21944280837639532709706130968735
y[1] (numeric) = 0.21944280837639532391602552372664
absolute error = 3.1810357859607033133784095548152e-18
relative error = 1.4495967352479781156252158827655e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.153
Order of pole = 3.526
x[1] = -1.885
y[1] (analytic) = 0.2196245518286489246632881089777
y[1] (numeric) = 0.21962455182864892143577300816673
absolute error = 3.2275151008109771797533618600695e-18
relative error = 1.4695602444890061569282501055315e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.153
Order of pole = 3.526
x[1] = -1.884
y[1] (analytic) = 0.21980649994197108401531963381996
y[1] (numeric) = 0.21980649994197108074093296026396
absolute error = 3.2743866735559955456068887071993e-18
relative error = 1.4896678098329365270934533470300e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.3MB, time=1.79
Complex estimate of poles used
Radius of convergence = 2.152
Order of pole = 3.526
x[1] = -1.883
y[1] (analytic) = 0.21998865298527901930818408386495
y[1] (numeric) = 0.21998865298527901598653155110389
absolute error = 3.3216525327610598839783398857096e-18
relative error = 1.5099199379994089542941615856731e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.151
Order of pole = 3.526
x[1] = -1.882
y[1] (analytic) = 0.22017101122784088857497395376937
y[1] (numeric) = 0.22017101122784088520565923786343
absolute error = 3.3693147159059413739855013226158e-18
relative error = 1.5303171371726376869097724109221e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.15
Order of pole = 3.525
x[1] = -1.881
y[1] (analytic) = 0.22035357493927606358610899877726
y[1] (numeric) = 0.22035357493927606016873372935871
absolute error = 3.4173752694185437016004274007822e-18
relative error = 1.5508599170039727703398697213561e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.149
Order of pole = 3.525
x[1] = -1.88
y[1] (analytic) = 0.22053634438955539872971065631616
y[1] (numeric) = 0.2205363443895553952638744076075
absolute error = 3.4658362487086565439198581335745e-18
relative error = 1.5715487886144532232750204720880e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.148
Order of pole = 3.525
x[1] = -1.879
y[1] (analytic) = 0.22071931984900149890490109456918
y[1] (numeric) = 0.22071931984900149539020137636738
absolute error = 3.5146997182017996578323515906878e-18
relative error = 1.5923842645973519803561223243185e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.147
Order of pole = 3.525
x[1] = -1.878
y[1] (analytic) = 0.22090250158828898641979781235835
y[1] (numeric) = 0.22090250158828898285583006098519
absolute error = 3.5639677513731574899995898774515e-18
relative error = 1.6133668590207124670959303422797e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.146
Order of pole = 3.524
x[1] = -1.877
y[1] (analytic) = 0.22108588987844476688593228271845
y[1] (numeric) = 0.22108588987844476327228985193684
absolute error = 3.6136424307816042210414913672982e-18
relative error = 1.6344970874298766718715179806676e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.145
Order of pole = 3.524
x[1] = -1.876
y[1] (analytic) = 0.22126948499084829410077851455599
y[1] (numeric) = 0.22126948499084829043705266645217
absolute error = 3.6637258481038191527434303794199e-18
relative error = 1.6557754668500045787248993414421e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.144
Order of pole = 3.524
x[1] = -1.875
y[1] (analytic) = 0.22145328719723183391003460207612
y[1] (numeric) = 0.22145328719723183019581449790763
absolute error = 3.7142201041684923429886732970042e-18
relative error = 1.6772025157885848236308227856784e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.143
Order of pole = 3.524
x[1] = -1.874
y[1] (analytic) = 0.22163729676968072704125733951908
y[1] (numeric) = 0.22163729676968072327613003052846
absolute error = 3.7651273089906203889597300505595e-18
relative error = 1.6987787542379364358058070981598e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.143
Order of pole = 3.523
x[1] = -1.873
y[1] (analytic) = 0.22182151398063365090040679847449
y[1] (numeric) = 0.2218215139806336470839572166686
absolute error = 3.8164495818058922549483323464956e-18
relative error = 1.7205047036777015245407970552875e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.142
Order of pole = 3.523
x[1] = -1.872
y[1] (analytic) = 0.22200593910288288032281439593072
y[1] (numeric) = 0.22200593910288287645462534482555
absolute error = 3.8681890511051650368648229777036e-18
relative error = 1.7423808870773287709413318783600e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.141
Order of pole = 3.523
x[1] = -1.871
y[1] (analytic) = 0.22219057240957454727004442256114
y[1] (numeric) = 0.22219057240957454334969656789211
absolute error = 3.9203478546690295512435095457553e-18
relative error = 1.7644078288985475828538140045518e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.14
Order of pole = 3.523
x[1] = -1.87
y[1] (analytic) = 0.22237541417420889946407525184016
y[1] (numeric) = 0.22237541417420889549114711223769
absolute error = 3.9729281396024656322006340373455e-18
relative error = 1.7865860550978327701443031202539e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.139
Order of pole = 3.522
x[1] = -1.869
y[1] (analytic) = 0.22256046467064055795018251070905
y[1] (numeric) = 0.22256046467064055392425044833947
absolute error = 4.0259320623695870154156675503773e-18
relative error = 1.8089160931288595963772076226321e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.138
Order of pole = 3.522
x[1] = -1.868
y[1] (analytic) = 0.22274572417307877357986236096212
y[1] (numeric) = 0.22274572417307876950050057213364
absolute error = 4.0793617888284756837742852005167e-18
relative error = 1.8313984719449490618152686562045e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.137
Order of pole = 3.522
x[1] = -1.867
y[1] (analytic) = 0.22293119295608768240508871658289
y[1] (numeric) = 0.22293119295608767827186922231679
absolute error = 4.1332194942661055448322355105556e-18
relative error = 1.8540337220015032715292965675109e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.136
Order of pole = 3.522
x[1] = -1.866
y[1] (analytic) = 0.22311687129458655997515370521263
y[1] (numeric) = 0.22311687129458655578764634177928
absolute error = 4.1875073634333553057330145438650e-18
relative error = 1.8768223752584307412661918932963e-15 %
h = 0.001
memory used=30.5MB, alloc=4.4MB, time=2.06
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.135
Order of pole = 3.522
x[1] = -1.865
y[1] (analytic) = 0.22330275946385007452729597105996
y[1] (numeric) = 0.22330275946385007028506838047985
absolute error = 4.2422275905801104066384083261724e-18
relative error = 1.8997649651825614925768286126473e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.134
Order of pole = 3.521
x[1] = -1.864
y[1] (analytic) = 0.22348885773950853906227651114226
y[1] (numeric) = 0.22348885773950853476489413165181
absolute error = 4.2973823794904538691091958159439e-18
relative error = 1.9228620267500517875513620241658e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 3.521
x[1] = -1.863
y[1] (analytic) = 0.22367516639754816229601663606418
y[1] (numeric) = 0.22367516639754815794304269254623
absolute error = 4.3529739435179459112032244017068e-18
relative error = 1.9461140964487783523484128355194e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 3.521
x[1] = -1.862
y[1] (analytic) = 0.22386168571431129847836734986268
y[1] (numeric) = 0.22386168571431129406936284424169
absolute error = 4.4090045056209921763392936406623e-18
relative error = 1.9695217122807219375363383621759e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.132
Order of pole = 3.521
x[1] = -1.861
y[1] (analytic) = 0.22404841596649669607003395005647
y[1] (numeric) = 0.22404841596649669160455765165817
absolute error = 4.4654762983983004182074211572014e-18
relative error = 1.9930854137643400620893965206781e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.131
Order of pole = 3.521
x[1] = -1.86
y[1] (analytic) = 0.22423535743115974526863395820253
y[1] (numeric) = 0.2242353574311597407462423940781
absolute error = 4.5223915641244254791887251642695e-18
relative error = 2.0168057419369287866990038742576e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.13
Order of pole = 3.52
x[1] = -1.859
y[1] (analytic) = 0.22442251038571272437482060225576
y[1] (numeric) = 0.22442251038571271979506804747036
absolute error = 4.5797525547854023948809462354919e-18
relative error = 2.0406832393569733608704505592750e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.129
Order of pole = 3.52
x[1] = -1.858
y[1] (analytic) = 0.22460987510792504498935798411739
y[1] (numeric) = 0.22460987510792504035179645200292
absolute error = 4.6375615321144674524081494181252e-18
relative error = 2.0647184501064875870783276145998e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.128
Order of pole = 3.52
x[1] = -1.857
y[1] (analytic) = 0.22479745187592349603198777821214
y[1] (numeric) = 0.22479745187592349133616701058427
absolute error = 4.6958207676278670252249965958918e-18
relative error = 2.0889119197933417440495110881998e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.127
Order of pole = 3.52
x[1] = -1.856
y[1] (analytic) = 0.22498524096819248657288081901827
y[1] (numeric) = 0.22498524096819248181834827635752
absolute error = 4.7545325426607540021067556165888e-18
relative error = 2.1132641955535789100307972532254e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.126
Order of pole = 3.52
x[1] = -1.855
y[1] (analytic) = 0.22517324266357428746742024645211
y[1] (numeric) = 0.22517324266357428265372109804894
absolute error = 4.8136991484031716229455118794871e-18
relative error = 2.1377758260537195256791591894599e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.125
Order of pole = 3.52
x[1] = -1.854
y[1] (analytic) = 0.22536145724126927178501598714178
y[1] (numeric) = 0.22536145724126926691169310120565
absolute error = 4.8733228859361245288504619640378e-18
relative error = 2.1624473614930540349860616480416e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.124
Order of pole = 3.519
x[1] = -1.853
y[1] (analytic) = 0.22554988498083615402260325617347
y[1] (numeric) = 0.22554988498083614908919718990573
absolute error = 4.9334060662677368288752869381184e-18
relative error = 2.1872793536059234414132932046424e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.124
Order of pole = 3.519
x[1] = -1.852
y[1] (analytic) = 0.22573852616219222809343046711622
y[1] (numeric) = 0.22573852616219222309947945674672
absolute error = 4.9939510103694969804680119937055e-18
relative error = 2.2122723556639876151763168202964e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.123
Order of pole = 3.519
x[1] = -1.851
y[1] (analytic) = 0.2259273810656136040816944372838
y[1] (numeric) = 0.22592738106561359902673438807121
absolute error = 5.0549600492125892754580431091813e-18
relative error = 2.2374269224784811863621665867902e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.122
Order of pole = 3.519
x[1] = -1.85
y[1] (analytic) = 0.22611644997173544375353306953081
y[1] (numeric) = 0.2261164499717354386370975457265
absolute error = 5.1164355238043117180608119123140e-18
relative error = 2.2627436104024568573123940682208e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.121
Order of pole = 3.519
x[1] = -1.849
y[1] (analytic) = 0.22630573316155219481483778065588
y[1] (numeric) = 0.2263057331615521896364579954313
absolute error = 5.1783797852245800759922354783507e-18
relative error = 2.2882229773330159664374566123972e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.12
Order of pole = 3.519
memory used=34.3MB, alloc=4.4MB, time=2.33
x[1] = -1.848
y[1] (analytic) = 0.2264952309164178239062998289508
y[1] (numeric) = 0.22649523091641781866550463428828
absolute error = 5.2407951946625178803425843730024e-18
relative error = 2.3138655827135261343572065635580e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.119
Order of pole = 3.519
x[1] = -1.847
y[1] (analytic) = 0.22668494351804604832605636883816
y[1] (numeric) = 0.22668494351804604302237224538503
absolute error = 5.3036841234531321443619230241463e-18
relative error = 2.3396719875358258219827486486026e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.118
Order of pole = 3.519
x[1] = -1.846
y[1] (analytic) = 0.22687487124851056647025352813112
y[1] (numeric) = 0.22687487124851056110320457501705
absolute error = 5.3670489531140745657566119040983e-18
relative error = 2.3656427543424156288678470395484e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.117
Order of pole = 3.518
x[1] = -1.845
y[1] (analytic) = 0.22706501439024528698179506247126
y[1] (numeric) = 0.22706501439024528155090298708877
absolute error = 5.4308920753824879714880086801224e-18
relative error = 2.3917784472286361588632477427476e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.116
Order of pole = 3.518
x[1] = -1.844
y[1] (analytic) = 0.22725537322604455659749619119994
y[1] (numeric) = 0.22725537322604455110228029894801
absolute error = 5.4952158922519377584000403139487e-18
relative error = 2.4180796318448322788046999794920e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.115
Order of pole = 3.518
x[1] = -1.843
y[1] (analytic) = 0.22744594803906338668381305853617
y[1] (numeric) = 0.22744594803906338112379024252674
absolute error = 5.5600228160094280772813021336401e-18
relative error = 2.4445468753985035946550759744567e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.115
Order of pole = 3.518
x[1] = -1.842
y[1] (analytic) = 0.22763673911281767845126889271116
y[1] (numeric) = 0.22763673911281767282595362343866
absolute error = 5.6253152692725025021893324252052e-18
relative error = 2.4711807466564409682027658527959e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.114
Order of pole = 3.518
x[1] = -1.841
y[1] (analytic) = 0.22782774673118444683764835288513
y[1] (numeric) = 0.2278277467311844411465526678587
absolute error = 5.6910956850264289210292685357591e-18
relative error = 2.4979818159468488960924268827905e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.113
Order of pole = 3.518
x[1] = -1.84
y[1] (analytic) = 0.22801897117840204304998175848231
y[1] (numeric) = 0.22801897117840203729261525182084
absolute error = 5.7573665066614683774857664476274e-18
relative error = 2.5249506551614535716301577332715e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.112
Order of pole = 3.518
x[1] = -1.839
y[1] (analytic) = 0.22821041273907037575529088726155
y[1] (numeric) = 0.22821041273907036993116069925132
absolute error = 5.8241301880102275884554110274246e-18
relative error = 2.5520878377575964484632123144704e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.111
Order of pole = 3.518
x[1] = -1.838
y[1] (analytic) = 0.22840207169815113091001780622551
y[1] (numeric) = 0.22840207169815112501862861284041
absolute error = 5.8913891933850948551164065677942e-18
relative error = 2.5793939387603131238844276357006e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.11
Order of pole = 3.518
x[1] = -1.837
y[1] (analytic) = 0.2285939483409679902180077625933
y[1] (numeric) = 0.22859394834096798425886176497754
absolute error = 5.9591459976157590797026618393498e-18
relative error = 2.6068695347643973581535793699903e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.109
Order of pole = 3.518
x[1] = -1.836
y[1] (analytic) = 0.22878604295320684820686650974995
y[1] (numeric) = 0.22878604295320684217946342366313
absolute error = 6.0274030860868115939200127858716e-18
relative error = 2.6345152039364500448618608205715e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.108
Order of pole = 3.518
x[1] = -1.835
y[1] (analytic) = 0.22897835582091602791246157456966
y[1] (numeric) = 0.22897835582091602181629861979423
absolute error = 6.0961629547754304987527984558398e-18
relative error = 2.6623315260169129459915690236305e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.107
Order of pole = 3.518
x[1] = -1.834
y[1] (analytic) = 0.22917088723050649516128588701509
y[1] (numeric) = 0.22917088723050648899585777672594
absolute error = 6.1654281102891472091588580832881e-18
relative error = 2.6903190823220870039408390142480e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 3.517
x[1] = -1.833
y[1] (analytic) = 0.22936363746875207144035088966715
y[1] (numeric) = 0.22936363746875206520514981976345
absolute error = 6.2352010699036948908397827996842e-18
relative error = 2.7184784557461350413928569790732e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 3.517
x[1] = -1.832
y[1] (analytic) = 0.22955660682278964534422472306291
y[1] (numeric) = 0.22955660682278963903874036146197
absolute error = 6.3054843616009384699004647257909e-18
relative error = 2.7468102307630686585103682049644e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.105
Order of pole = 3.517
x[1] = -1.831
y[1] (analytic) = 0.22974979558011938258877934163358
y[1] (numeric) = 0.22974979558011937621249881752669
absolute error = 6.3762805241068858897771666557845e-18
relative error = 2.7753149934287191355294394276468e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=2.59
Complex estimate of poles used
Radius of convergence = 2.104
Order of pole = 3.517
x[1] = -1.83
y[1] (analytic) = 0.2299432040286049345811584538619
y[1] (numeric) = 0.22994320402860492813356634693212
absolute error = 6.4475921069297802833160117378821e-18
relative error = 2.8039933313826921474113003446876e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.103
Order of pole = 3.517
x[1] = -1.829
y[1] (analytic) = 0.23013683245647364553542599823577
y[1] (numeric) = 0.2301368324564736390160043278375
absolute error = 6.5194216703982727213234860311051e-18
relative error = 2.8328458338503060957876385765285e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.102
Order of pole = 3.517
x[1] = -1.828
y[1] (analytic) = 0.23033068115231675812330246287991
y[1] (numeric) = 0.23033068115231675153153067718023
absolute error = 6.5917717856996751922867761406725e-18
relative error = 2.8618730916445138620029190703925e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.101
Order of pole = 3.517
x[1] = -1.827
y[1] (analytic) = 0.23052475040508961764934373061431
y[1] (numeric) = 0.23052475040508961098469869569602
absolute error = 6.6646450349182934612740448655196e-18
relative error = 2.8910756971678077836171056169439e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.1
Order of pole = 3.517
x[1] = -1.826
y[1] (analytic) = 0.23071904050411187473986428183161
y[1] (numeric) = 0.23071904050411186800182027075777
absolute error = 6.7380440110738394492725924749484e-18
relative error = 2.9204542444141076552835415021949e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.099
Order of pole = 3.517
x[1] = -1.825
y[1] (analytic) = 0.23091355173906768653485351421562
y[1] (numeric) = 0.23091355173906767972288219605569
absolute error = 6.8119713181599227674057693827937e-18
relative error = 2.9500093289706315534596610033361e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 3.517
x[1] = -1.824
y[1] (analytic) = 0.23110828440000591637208064015146
y[1] (numeric) = 0.23110828440000590948565106896884
absolute error = 6.8864295711826210335870040803132e-18
relative error = 2.9797415480197492829426160567417e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 3.517
x[1] = -1.823
y[1] (analytic) = 0.2313032387773403319525300989122
y[1] (numeric) = 0.23130323877734032499110870271308
absolute error = 6.9614213961991285922208916423267e-18
relative error = 3.0096515003408182417477755243129e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.097
Order of pole = 3.517
x[1] = -1.822
y[1] (analytic) = 0.23149841516184980197625567055368
y[1] (numeric) = 0.2314984151618497949393062401972
absolute error = 7.0369494303564832505464532867862e-18
relative error = 3.0397397863120014993653505519678e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.096
Order of pole = 3.517
x[1] = -1.821
y[1] (analytic) = 0.23169381384467849123768750111503
y[1] (numeric) = 0.23169381384467848412467117918466
absolute error = 7.1130163219303706381359236178618e-18
relative error = 3.0700070079120678819390809907560e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.095
Order of pole = 3.517
x[1] = -1.82
y[1] (analytic) = 0.2318894351173360541693720434097
y[1] (numeric) = 0.2318894351173360469797473130457
absolute error = 7.1896247303640057889132434961302e-18
relative error = 3.1004537687221738564109471252712e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.094
Order of pole = 3.517
x[1] = -1.819
y[1] (analytic) = 0.23208527927169782682307048360306
y[1] (numeric) = 0.23208527927169781955629315729597
absolute error = 7.2667773263070915378393240306858e-18
relative error = 3.1310806739276270041672103649782e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.093
Order of pole = 3.517
x[1] = -1.818
y[1] (analytic) = 0.23228134660000501727708656010837
y[1] (numeric) = 0.23228134660000500993260976845352
absolute error = 7.3444767916548533171255889332616e-18
relative error = 3.1618883303196308732036983930719e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.092
Order of pole = 3.518
x[1] = -1.817
y[1] (analytic) = 0.23247763739486489445863978729226
y[1] (numeric) = 0.23247763739486488703591396770511
absolute error = 7.4227258195871499294827832396862e-18
relative error = 3.1928773462970109963020967794895e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.091
Order of pole = 3.518
x[1] = -1.816
y[1] (analytic) = 0.23267415194925097537004497126009
y[1] (numeric) = 0.23267415194925096786851785665243
absolute error = 7.5015271146076598684880378721598e-18
relative error = 3.2240483318679218611740524497089e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.091
Order of pole = 3.518
x[1] = -1.815
y[1] (analytic) = 0.23287089055650321070740354778802
y[1] (numeric) = 0.23287089055650320312652015520487
absolute error = 7.5808833925831427486591802144419e-18
relative error = 3.2554018986515346169860968156362e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.09
Order of pole = 3.518
x[1] = -1.814
y[1] (analytic) = 0.23306785351032816886045668247488
y[1] (numeric) = 0.23306785351032816119965930169211
absolute error = 7.6607973807827754002607561606623e-18
relative error = 3.2869386598797053001257199339913e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.089
Order of pole = 3.518
x[1] = -1.813
y[1] (analytic) = 0.23326504110479921828219424959686
y[1] (numeric) = 0.2332650411047992105409224316793
absolute error = 7.7412718179175621762306511562829e-18
relative error = 3.3186592303986233605073338356799e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.4MB, time=2.86
Complex estimate of poles used
Radius of convergence = 2.088
Order of pole = 3.518
x[1] = -1.812
y[1] (analytic) = 0.23346245363435670821675774815191
y[1] (numeric) = 0.23346245363435670039444829397209
absolute error = 7.8223094541798190109090355631458e-18
relative error = 3.3505642266704402681463152025187e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.087
Order of pole = 3.518
x[1] = -1.811
y[1] (analytic) = 0.23366009139380814777411892036887
y[1] (numeric) = 0.23366009139380813987020586908614
absolute error = 7.9039130512827307624720790307568e-18
relative error = 3.3826542667748779781497768541590e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.086
Order of pole = 3.518
x[1] = -1.81
y[1] (analytic) = 0.23385795467832838333995930871589
y[1] (numeric) = 0.2338579546783283753538739262159
absolute error = 7.9860853824999813631209420067101e-18
relative error = 3.4149299704108170306841460114893e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.085
Order of pole = 3.518
x[1] = -1.809
y[1] (analytic) = 0.23405604378345977430911922136108
y[1] (numeric) = 0.23405604378345976624028998865562
absolute error = 8.0688292327054562931514194043979e-18
relative error = 3.4473919588978640608819869528321e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.084
Order of pole = 3.518
x[1] = -1.808
y[1] (analytic) = 0.23425435900511236713092757230027
y[1] (numeric) = 0.23425435900511235897878017388725
absolute error = 8.1521473984130168870307378577929e-18
relative error = 3.4800408551778984920437583734569e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 3.518
x[1] = -1.807
y[1] (analytic) = 0.23445290063956406765466682015517
y[1] (numeric) = 0.23445290063956405941862413233882
absolute error = 8.2360426878163459715348467688224e-18
relative error = 3.5128772838165981838743033645873e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 3.518
x[1] = -1.806
y[1] (analytic) = 0.23465166898346081176336974814367
y[1] (numeric) = 0.23465166898346080344285182731481
absolute error = 8.3205179208288643278515440639944e-18
relative error = 3.5459018710049438058687942838705e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.082
Order of pole = 3.518
x[1] = -1.805
y[1] (analytic) = 0.2348506643338167342840871061114
y[1] (numeric) = 0.23485066433381672587851117698768
absolute error = 8.4055759291237174613313865163068e-18
relative error = 3.5791152445607017043285577071097e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.081
Order of pole = 3.519
x[1] = -1.804
y[1] (analytic) = 0.23504988698801433616270717297039
y[1] (numeric) = 0.23504988698801432767148761679656
absolute error = 8.4912195561738321542689946583701e-18
relative error = 3.6125180339298850298436479178484e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.08
Order of pole = 3.519
x[1] = -1.803
y[1] (analytic) = 0.23524933724380464989135009359395
y[1] (numeric) = 0.23524933724380464131389843630191
absolute error = 8.5774516572920422687215134128550e-18
relative error = 3.6461108701881928904261827708985e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.079
Order of pole = 3.519
x[1] = -1.802
y[1] (analytic) = 0.23544901539930740317630139734282
y[1] (numeric) = 0.23544901539930739451202629767153
absolute error = 8.6642750996712832579180679821162e-18
relative error = 3.6798943860424272938162650005916e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.078
Order of pole = 3.519
x[1] = -1.801
y[1] (analytic) = 0.2356489217530111808343904151215
y[1] (numeric) = 0.23564892175301117208269765269664
absolute error = 8.7516927624248548362834933290333e-18
relative error = 3.7138692158318876408107468574579e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.077
Order of pole = 3.519
x[1] = -1.8
y[1] (analytic) = 0.23584905660377358490566037735849
y[1] (numeric) = 0.23584905660377357606595284073174
absolute error = 8.8397075366267512494908444664507e-18
relative error = 3.7480359955297425297841180537751e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 3.519
x[1] = -1.799
y[1] (analytic) = 0.23604942025082139297011779574219
y[1] (numeric) = 0.23604942025082138404179547039013
absolute error = 8.9283223253520585772696401237837e-18
relative error = 3.7823953627443786308803680690037e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 3.519
x[1] = -1.798
y[1] (analytic) = 0.23625001299375071465628930609591
y[1] (numeric) = 0.23625001299375070563874926237849
absolute error = 9.0175400437174184929298771854261e-18
relative error = 3.8169479567207263866547555869980e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.075
Order of pole = 3.52
x[1] = -1.797
y[1] (analytic) = 0.23645083513252714632925447761035
y[1] (numeric) = 0.23645083513252713722189085868879
absolute error = 9.1073636189215578947149972321922e-18
relative error = 3.8516944183415622942349718729362e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.074
Order of pole = 3.52
x[1] = -1.796
y[1] (analytic) = 0.23665188696748592394576317393724
y[1] (numeric) = 0.23665188696748591474796718365136
absolute error = 9.1977959902858838151696058149272e-18
relative error = 3.8866353901287875223521729045249e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.073
Order of pole = 3.52
x[1] = -1.795
y[1] (analytic) = 0.23685316879933207406398588355114
y[1] (numeric) = 0.236853168799332064775145774256
absolute error = 9.2888401092951430056992526029147e-18
relative error = 3.9217715162446826148637386970821e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=3.12
Complex estimate of poles used
Radius of convergence = 2.072
Order of pole = 3.52
x[1] = -1.794
y[1] (analytic) = 0.23705468092914056299538501947167
y[1] (numeric) = 0.23705468092914055361488607983353
absolute error = 9.3804989396381455844093857252339e-18
relative error = 3.9571034424931380306513591481213e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.071
Order of pole = 3.52
x[1] = -1.793
y[1] (analytic) = 0.23725642365835644408613452107062
y[1] (numeric) = 0.23725642365835643461335906382207
absolute error = 9.4727754572485521261381024879187e-18
relative error = 3.9926318163208602680301055133102e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.07
Order of pole = 3.52
x[1] = -1.792
y[1] (analytic) = 0.23745839728879500311545417242899
y[1] (numeric) = 0.23745839728879499354978152208327
absolute error = 9.5656726503457235643419338002673e-18
relative error = 4.0283572868185533200464869503449e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.07
Order of pole = 3.521
x[1] = -1.791
y[1] (analytic) = 0.23766060212264190179816388172012
y[1] (numeric) = 0.23766060212264189213897036224449
absolute error = 9.6591935194756332651550202347318e-18
relative error = 4.0642805047220752052760740696297e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.069
Order of pole = 3.521
x[1] = -1.79
y[1] (analytic) = 0.23786303846245331937870174353607
y[1] (numeric) = 0.23786303846245330962536066598423
absolute error = 9.7533410775518406245190593783878e-18
relative error = 4.1004021224135693169540577532680e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.068
Order of pole = 3.521
x[1] = -1.789
y[1] (analytic) = 0.23806570661115609230378803010388
y[1] (numeric) = 0.23806570661115608245566968020736
absolute error = 9.8481183498965255297737192479069e-18
relative error = 4.1367227939225703314850632948937e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.067
Order of pole = 3.521
x[1] = -1.788
y[1] (analytic) = 0.23826860687204785196085532711421
y[1] (numeric) = 0.23826860687204784201732695283262
absolute error = 9.9435283742815830175042097971344e-18
relative error = 4.1732431749270844155816188282824e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.066
Order of pole = 3.521
x[1] = -1.787
y[1] (analytic) = 0.23847173954879716046930284456245
y[1] (numeric) = 0.23847173954879715042972864359267
absolute error = 1.0039574200969777449763769223822e-17
relative error = 4.2099639227546434694738447186330e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.065
Order of pole = 3.522
x[1] = -1.786
y[1] (analytic) = 0.23867510494544364451157049173755
y[1] (numeric) = 0.23867510494544363437531159898159
absolute error = 1.0136258892755955521023335660090e-17
relative error = 4.2468856963833331418161487655301e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.064
Order of pole = 3.522
x[1] = -1.785
y[1] (analytic) = 0.23887870336639812719096560743868
y[1] (numeric) = 0.23887870336639811695738008243037
absolute error = 1.0233585525008317398348016182687e-17
relative error = 4.2840091564427943500899424044369e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 3.522
x[1] = -1.784
y[1] (analytic) = 0.23908253511644275790311228080913
y[1] (numeric) = 0.23908253511644274757155509509939
absolute error = 1.0331557185709745287359508658944e-17
relative error = 4.3213349652151980384645973049383e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 3.522
x[1] = -1.783
y[1] (analytic) = 0.23928660050073114020782998399891
y[1] (numeric) = 0.23928660050073112977765300849972
absolute error = 1.0430176975499188706514748978655e-17
relative error = 4.3588637866361929032320015794460e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.062
Order of pole = 3.523
x[1] = -1.782
y[1] (analytic) = 0.23949089982478845768818476435532
y[1] (numeric) = 0.23949089982478844715873675664222
absolute error = 1.0529448007713105742113114398298e-17
relative error = 4.3965962862958258140731119884838e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.061
Order of pole = 3.523
x[1] = -1.781
y[1] (analytic) = 0.23969543339451159778339251014091
y[1] (numeric) = 0.23969543339451158715401910171396
absolute error = 1.0629373408426959546236877179703e-17
relative error = 4.4345331314394346575477948355509e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.06
Order of pole = 3.523
x[1] = -1.78
y[1] (analytic) = 0.23990020151616927358218980903944
y[1] (numeric) = 0.23990020151616926285223349254267
absolute error = 1.0729956316496769329531632018885e-17
relative error = 4.4726749909685133273219654907521e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.059
Order of pole = 3.523
x[1] = -1.779
y[1] (analytic) = 0.24010520449640214356322366207978
y[1] (numeric) = 0.24010520449640213273202377847906
absolute error = 1.0831199883600715090344472940543e-17
relative error = 4.5110225354415485837585365026166e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.058
Order of pole = 3.524
x[1] = -1.778
y[1] (analytic) = 0.24031044264222292926894679622924
y[1] (numeric) = 0.24031044264222291833583952194845
absolute error = 1.0933107274280795311257123808503e-17
relative error = 4.5495764370748285036009289190344e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.057
Order of pole = 3.524
memory used=49.5MB, alloc=4.4MB, time=3.39
x[1] = -1.777
y[1] (analytic) = 0.24051591626101653089944053592719
y[1] (numeric) = 0.24051591626101651986375886994265
absolute error = 1.1035681665984536843478381211017e-17
relative error = 4.5883373697432222385698526434099e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.057
Order of pole = 3.524
x[1] = -1.776
y[1] (analytic) = 0.24072162566054014081252214638956
y[1] (numeric) = 0.2407216256605401296735958972828
absolute error = 1.1138926249106756188894455461734e-17
relative error = 4.6273060089809307997756813412204e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.056
Order of pole = 3.524
x[1] = -1.775
y[1] (analytic) = 0.24092757114892335491642824875772
y[1] (numeric) = 0.24092757114892334367358402172635
absolute error = 1.1242844227031371378816437442566e-17
relative error = 4.6664830319822085829199975660050e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.055
Order of pole = 3.525
x[1] = -1.774
y[1] (analytic) = 0.24113375303466828194130032823126
y[1] (numeric) = 0.241133753034668270593861512058
absolute error = 1.1347438816173263637610515014887e-17
relative error = 4.7058691176020553473207264165876e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.054
Order of pole = 3.525
x[1] = -1.773
y[1] (analytic) = 0.2413401716266496505756325103553
y[1] (numeric) = 0.24134017162664963912291926433512
absolute error = 1.1452713246020188008448048123723e-17
relative error = 4.7454649463568783598456732394040e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.053
Order of pole = 3.525
x[1] = -1.772
y[1] (analytic) = 0.24154682723411491445377566676586
y[1] (numeric) = 0.24154682723411490289510490759113
absolute error = 1.1558670759174732107368518261204e-17
relative error = 4.7852712004251244128791947705091e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.052
Order of pole = 3.526
x[1] = -1.771
y[1] (analytic) = 0.24175372016668435498052552907197
y[1] (numeric) = 0.24175372016668434331521091767565
absolute error = 1.1665314611396322160708023739280e-17
relative error = 4.8252885636478814234761258424130e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.051
Order of pole = 3.526
x[1] = -1.77
y[1] (analytic) = 0.24196085073435118197875583730552
y[1] (numeric) = 0.24196085073435117020610776566225
absolute error = 1.1772648071643275469708721690269e-17
relative error = 4.8655177215294493188759175873712e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.05
Order of pole = 3.526
x[1] = -1.769
y[1] (analytic) = 0.24216821924748163214599062663691
y[1] (numeric) = 0.24216821924748162026531620452201
absolute error = 1.1880674422114898434789741645072e-17
relative error = 4.9059593612378799115581802349236e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.05
Order of pole = 3.527
x[1] = -1.768
y[1] (analytic) = 0.24237582601681506530574256197065
y[1] (numeric) = 0.24237582601681505331634560367702
absolute error = 1.1989396958293629260526931037010e-17
relative error = 4.9466141716054854650184264718840e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.049
Order of pole = 3.527
x[1] = -1.767
y[1] (analytic) = 0.24258367135346405843937676373491
y[1] (numeric) = 0.24258367135346404634055777474768
absolute error = 1.2098818988987224450856653465988e-17
relative error = 4.9874828431293156494297423159654e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.048
Order of pole = 3.527
x[1] = -1.766
y[1] (analytic) = 0.24279175556891449748419182879491
y[1] (numeric) = 0.24279175556891448527524799242392
absolute error = 1.2208943836370988192387055763922e-17
relative error = 5.0285660679716025843323340249989e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.047
Order of pole = 3.528
x[1] = -1.765
y[1] (analytic) = 0.24300007897502566688334173708606
y[1] (numeric) = 0.24300007897502565456356690105602
absolute error = 1.2319774836030043711968055859515e-17
relative error = 5.0698645399601736634583742674474e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.046
Order of pole = 3.528
x[1] = -1.764
y[1] (analytic) = 0.2432086418840303368731540464081
y[1] (numeric) = 0.24320864188403032444183870940645
absolute error = 1.2431315337001645682838082472473e-17
relative error = 5.1113789545888318547542612349738e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.045
Order of pole = 3.528
x[1] = -1.763
y[1] (analytic) = 0.24341744460853484849333121397878
y[1] (numeric) = 0.24341744460853483594976251216125
absolute error = 1.2543568701817532741730618382222e-17
relative error = 5.1531100090177031666062732788676e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 3.529
x[1] = -1.762
y[1] (analytic) = 0.24362648746151919630545304294355
y[1] (numeric) = 0.24362648746151918364891473639723
absolute error = 1.2656538306546319167286156298634e-17
relative error = 5.1950584020735509692086117734249e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 3.529
x[1] = -1.761
y[1] (analytic) = 0.24383577075633710880512913420501
y[1] (numeric) = 0.24383577075633709603490159336909
absolute error = 1.2770227540835924757974561365125e-17
relative error = 5.2372248342500568579349391080303e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.043
Order of pole = 3.529
x[1] = -1.76
y[1] (analytic) = 0.24404529480671612651308082780164
y[1] (numeric) = 0.2440452948067161136284410198456
absolute error = 1.2884639807956041935488334461683e-17
relative error = 5.2796100077080677434856999290191e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.042
Order of pole = 3.53
memory used=53.4MB, alloc=4.4MB, time=3.65
x[1] = -1.759
y[1] (analytic) = 0.24425505992675767773036244275577
y[1] (numeric) = 0.24425505992675766473058391791513
absolute error = 1.2999778524840639087218169413996e-17
relative error = 5.3222146262758088514837250252622e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.041
Order of pole = 3.53
x[1] = -1.758
y[1] (analytic) = 0.24446506643093715194286166895323
y[1] (numeric) = 0.24446506643093713882721454682273
absolute error = 1.3115647122130499148967774868319e-17
relative error = 5.3650393954490623120798217036449e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.04
Order of pole = 3.53
x[1] = -1.757
y[1] (analytic) = 0.24467531463410397086014872833675
y[1] (numeric) = 0.24467531463410395762789968412096
absolute error = 1.3232249044215792416504464111991e-17
relative error = 5.4080850223913110180082153544447e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.039
Order of pole = 3.531
x[1] = -1.756
y[1] (analytic) = 0.24488580485148165707367340461796
y[1] (numeric) = 0.24488580485148164372408565533928
absolute error = 1.3349587749278682561874775890846e-17
relative error = 5.4513522159338474273987874842200e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.038
Order of pole = 3.531
x[1] = -1.755
y[1] (analytic) = 0.24509653739866790031923823996176
y[1] (numeric) = 0.2450965373986678868515715306258
absolute error = 1.3467666709335964817639644906120e-17
relative error = 5.4948416865758469855090192208094e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.038
Order of pole = 3.532
x[1] = -1.754
y[1] (analytic) = 0.2453075125916346213286051127973
y[1] (numeric) = 0.24530751259163460774211570251557
absolute error = 1.3586489410281735279300656992591e-17
relative error = 5.5385541464844058373833597040810e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.037
Order of pole = 3.532
x[1] = -1.753
y[1] (analytic) = 0.24551873074672803325502104218282
y[1] (numeric) = 0.24551873074672801954896169025273
absolute error = 1.3706059351930090263196962026095e-17
relative error = 5.5824903094945425012813595104941e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.036
Order of pole = 3.532
x[1] = -1.752
y[1] (analytic) = 0.24573019218066870065737741012172
y[1] (numeric) = 0.24573019218066868683099736206387
absolute error = 1.3826380048057854644050734627694e-17
relative error = 5.6266508911091631705383040770339e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.035
Order of pole = 3.533
x[1] = -1.751
y[1] (analytic) = 0.24594189721055159602764485301405
y[1] (numeric) = 0.24594189721055158208018982656672
absolute error = 1.3947455026447338083126922168543e-17
relative error = 5.6710366084989903093332148664219e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.034
Order of pole = 3.533
x[1] = -1.75
y[1] (analytic) = 0.24615384615384615384615384615385
y[1] (numeric) = 0.24615384615384613977686601722473
absolute error = 1.4069287828929118044649651072741e-17
relative error = 5.7156481805024542056389207483011e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.033
Order of pole = 3.534
x[1] = -1.749
y[1] (analytic) = 0.24636603932839632214921848996834
y[1] (numeric) = 0.2463660393283963079573364785435
absolute error = 1.4191882011424848484682321792043e-17
relative error = 5.7604863276255471424174028836224e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.033
Order of pole = 3.534
x[1] = -1.748
y[1] (analytic) = 0.24657847705242061159352820265989
y[1] (numeric) = 0.2465784770524205972782870586698
absolute error = 1.4315241143990093083130352095630e-17
relative error = 5.8055517720416398459007475445234e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.032
Order of pole = 3.534
x[1] = -1.747
y[1] (analytic) = 0.24679115964451214200165893017513
y[1] (numeric) = 0.24679115964451212756229011931795
absolute error = 1.4439368810857181875863965666982e-17
relative error = 5.8508452375912598675637671658304e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.031
Order of pole = 3.535
x[1] = -1.746
y[1] (analytic) = 0.24700408742363868637298210010779
y[1] (numeric) = 0.2470040874236386718087134896297
absolute error = 1.4564268610478090130182602787235e-17
relative error = 5.8963674497818315541486350305766e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.03
Order of pole = 3.535
x[1] = -1.745
y[1] (analytic) = 0.24721726070914271234417587035927
y[1] (numeric) = 0.24721726070914269765423171479193
absolute error = 1.4689944155567338292951682636468e-17
relative error = 5.9421191357873772578446880056580e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.029
Order of pole = 3.536
x[1] = -1.744
y[1] (analytic) = 0.24743067982074142108346925525345
y[1] (numeric) = 0.24743067982074140626707018210854
absolute error = 1.4816399073144911826735799150283e-17
relative error = 5.9881010244481794364578494754639e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.028
Order of pole = 3.536
x[1] = -1.743
y[1] (analytic) = 0.24764434507852678360267545044649
y[1] (numeric) = 0.24764434507852676865903844586729
absolute error = 1.4943637004579199735129207275862e-17
relative error = 6.0343138462704032911238760311089e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 3.537
x[1] = -1.742
y[1] (analytic) = 0.24785825680296557447099612250543
y[1] (numeric) = 0.24785825680296555939933451687548
absolute error = 1.5071661605629950564243872880879e-17
relative error = 6.0807583334256795868278016745771e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=3.92
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 3.537
x[1] = -1.741
y[1] (analytic) = 0.24807241531489940291450357856863
y[1] (numeric) = 0.24807241531489938771402703207738
absolute error = 1.5200476546491244652956632631362e-17
relative error = 6.1274352197506472986885075624264e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.026
Order of pole = 3.537
x[1] = -1.74
y[1] (analytic) = 0.24828682093554474128513258516238
y[1] (numeric) = 0.2482868209355447259550470733279
absolute error = 1.5330085511834481390039351168559e-17
relative error = 6.1743452407464557246522490766487e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.025
Order of pole = 3.538
x[1] = -1.739
y[1] (analytic) = 0.24850147398649295088293816214771
y[1] (numeric) = 0.24850147398649293542244596129633
absolute error = 1.5460492200851380221698579320328e-17
relative error = 6.2214891335782257029121908713096e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.024
Order of pole = 3.538
x[1] = -1.738
y[1] (analytic) = 0.24871637478971030511529993702501
y[1] (numeric) = 0.24871637478971028952359960972802
absolute error = 1.5591700327296994138333312459451e-17
relative error = 6.2688676370744695700325002740218e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.023
Order of pole = 3.539
x[1] = -1.737
y[1] (analytic) = 0.24893152366753800997667760554759
y[1] (numeric) = 0.24893152366753799425296398601485
absolute error = 1.5723713619532734354480222185779e-17
relative error = 6.3164814917264694934052959677824e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 3.539
x[1] = -1.736
y[1] (analytic) = 0.24914692094269222183244570590299
y[1] (numeric) = 0.24914692094269220597590988533358
absolute error = 1.5856535820569404880954383111167e-17
relative error = 6.3643314396876138093067083675759e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 3.54
x[1] = -1.735
y[1] (analytic) = 0.24936256693826406249025927472897
y[1] (numeric) = 0.24936256693826404650008858661873
absolute error = 1.5990170688110245673109231646798e-17
relative error = 6.4124182247726909954444468480779e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.021
Order of pole = 3.54
x[1] = -1.734
y[1] (analytic) = 0.24957846197771963154232501305295
y[1] (numeric) = 0.24957846197771961541770301845897
absolute error = 1.6124621994593983023931463441432e-17
relative error = 6.4607425924571409045035534732737e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.02
Order of pole = 3.541
x[1] = -1.733
y[1] (analytic) = 0.24979460638490001596187534799511
y[1] (numeric) = 0.24979460638489999970198182075723
absolute error = 1.6259893527237885855353984733072e-17
relative error = 6.5093052898762628827994198188073e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.019
Order of pole = 3.541
x[1] = -1.732
y[1] (analytic) = 0.25001100048402129693706523087016
y[1] (numeric) = 0.25001100048402128054107614278933
absolute error = 1.6395989088080826545712060717004e-17
relative error = 6.5581070658243803957376197545331e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.018
Order of pole = 3.542
x[1] = -1.731
y[1] (analytic) = 0.25022764459967455392543366327516
y[1] (numeric) = 0.25022764459967453739252116924882
absolute error = 1.6532912494026344915683627585402e-17
relative error = 6.6071486707539617793586337620825e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.017
Order of pole = 3.542
x[1] = -1.73
y[1] (analytic) = 0.25044453905682586591199378897543
y[1] (numeric) = 0.25044453905682584924132621208972
absolute error = 1.6670667576885713979343526765050e-17
relative error = 6.6564308567746967348120768020168e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.016
Order of pole = 3.543
x[1] = -1.729
y[1] (analytic) = 0.250661684180816309853936930011
y[1] (numeric) = 0.25066168418081629304467874658999
absolute error = 1.6809258183421006051122348799176e-17
relative error = 6.7059543776525281801595594315734e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.016
Order of pole = 3.543
x[1] = -1.728
y[1] (analytic) = 0.25087908029736195629485717955717
y[1] (numeric) = 0.25087908029736193934616900416901
absolute error = 1.6948688175388157783492805136354e-17
relative error = 6.7557199888086390714477785388623e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.015
Order of pole = 3.544
x[1] = -1.727
y[1] (analytic) = 0.25109672773255386213132409079758
y[1] (numeric) = 0.25109672773255384504236266121755
absolute error = 1.7088961429580032694109239773945e-17
relative error = 6.8057284473183938025238176567690e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.014
Order of pole = 3.544
x[1] = -1.726
y[1] (analytic) = 0.25131462681285806051455161952172
y[1] (numeric) = 0.25131462681285804328446978165224
absolute error = 1.7230081837869479724898206345773e-17
relative error = 6.8559805119102337905829055313512e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.013
Order of pole = 3.545
x[1] = -1.725
y[1] (analytic) = 0.2515327778651155478698317874548
y[1] (numeric) = 0.25153277786511553049777848020242
absolute error = 1.7372053307252386359239123054328e-17
relative error = 6.9064769429645268519450038592862e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.012
Order of pole = 3.545
x[1] = -1.724
y[1] (analytic) = 0.25175118121654226801632153258063
y[1] (numeric) = 0.25175118121654225050144177268991
absolute error = 1.7514879759890724806883027158667e-17
relative error = 6.9572185025123699700505395287004e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=4.19
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 3.546
x[1] = -1.723
y[1] (analytic) = 0.25196983719472909336969090104162
y[1] (numeric) = 0.25196983719472907571112576788603
absolute error = 1.7658565133155589749633527993755e-17
relative error = 7.0082059542343450551473321921127e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 3.546
x[1] = -1.722
y[1] (analytic) = 0.25218874612764180321006011170953
y[1] (numeric) = 0.2521887461276417854069467320393
absolute error = 1.7803113379670226124056344292122e-17
relative error = 7.0594400634592272926102637120045e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.01
Order of pole = 3.547
x[1] = -1.721
y[1] (analytic) = 0.25240790834362105899757208832964
y[1] (numeric) = 0.2524079083436210410490436209766
absolute error = 1.7948528467353045400591445605379e-17
relative error = 7.1109215971626456742924613448660e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.009
Order of pole = 3.547
x[1] = -1.72
y[1] (analytic) = 0.2526273241713823767178658043654
y[1] (numeric) = 0.25262732417138235862305142490477
absolute error = 1.8094814379460628801413932708868e-17
relative error = 7.1626513239656953047516911234782e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.008
Order of pole = 3.548
x[1] = -1.719
y[1] (analytic) = 0.25284699394001609623963422142469
y[1] (numeric) = 0.25284699394001607799765910679397
absolute error = 1.8241975114630715882225517973310e-17
relative error = 7.2146300141335010716282516789239e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.007
Order of pole = 3.548
x[1] = -1.718
y[1] (analytic) = 0.25306691797898734766636872254857
y[1] (numeric) = 0.25306691797898732927635403562339
absolute error = 1.8390014686925176885856929889397e-17
relative error = 7.2668584395737322668708919024268e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 3.549
x[1] = -1.717
y[1] (analytic) = 0.2532870966181360146643097458036
y[1] (numeric) = 0.25328709661813599612537261993064
absolute error = 1.8538937125872967258121888455260e-17
relative error = 7.3193373738350677429151188469440e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 3.549
x[1] = -1.716
y[1] (analytic) = 0.25350753018767669474854081065624
y[1] (numeric) = 0.25350753018767667605979433414318
absolute error = 1.8688746476513062698784598339670e-17
relative error = 7.3720675921056111853136858548170e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.005
Order of pole = 3.55
x[1] = -1.715
y[1] (analytic) = 0.25372821901819865650908029863811
y[1] (numeric) = 0.25372821901819863766963349920074
absolute error = 1.8839446799437373102784099113070e-17
relative error = 7.4250498712112560807020261026909e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.004
Order of pole = 3.55
x[1] = -1.714
y[1] (analytic) = 0.25394916344066579375874219995144
y[1] (numeric) = 0.25394916344066577476770002911781
absolute error = 1.8991042170833633728999407035647e-17
relative error = 7.4782849896139999563518949027344e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.003
Order of pole = 3.551
x[1] = -1.713
y[1] (analytic) = 0.25417036378641657658445356803086
y[1] (numeric) = 0.25417036378641655744091688550259
absolute error = 1.9143536682528271915838287696322e-17
relative error = 7.5317737274102074649244768125490e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.002
Order of pole = 3.552
x[1] = -1.712
y[1] (analytic) = 0.25439182038716399928363263378975
y[1] (numeric) = 0.2543918203871639799866981917605
absolute error = 1.9296934442029247644788816151522e-17
relative error = 7.5855168663288218853796728117929e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.001
Order of pole = 3.552
x[1] = -1.711
y[1] (analytic) = 0.25461353357499552516714741945365
y[1] (numeric) = 0.25461353357499550571590784688478
absolute error = 1.9451239572568866234785710218404e-17
relative error = 7.6395151897295246083311807382695e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 3.553
x[1] = -1.71
y[1] (analytic) = 0.25483550368237302821029025763869
y[1] (numeric) = 0.25483550368237300860383404449213
absolute error = 1.9606456213146561431811858497374e-17
relative error = 7.6937694826008421714572913929546e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 3.553
x[1] = -1.709
y[1] (analytic) = 0.25505773104213273153311886378922
y[1] (numeric) = 0.25505773104213271177053034521758
absolute error = 1.9762588518571647139578598965946e-17
relative error = 7.7482805315582004078850160972406e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.999
Order of pole = 3.554
x[1] = -1.708
y[1] (analytic) = 0.2552802159874851426914295283647
y[1] (numeric) = 0.25528021598748512277178886885866
absolute error = 1.9919640659506036018405224207459e-17
relative error = 7.8030491248419252677602122199807e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.998
Order of pole = 3.554
x[1] = -1.707
y[1] (analytic) = 0.25550295885201498575954258838294
y[1] (numeric) = 0.25550295885201496568192576587602
absolute error = 2.0077616822506923160547979302959e-17
relative error = 7.8580760523151898704987548246908e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.997
Order of pole = 3.555
x[1] = -1.706
y[1] (analytic) = 0.25572595996968113018599460520515
y[1] (numeric) = 0.25572595996968110994947339513572
absolute error = 2.0236521210069433031210558099728e-17
relative error = 7.9133621054619073424834889973268e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=4.46
Complex estimate of poles used
Radius of convergence = 1.996
Order of pole = 3.555
x[1] = -1.705
y[1] (analytic) = 0.2559492196748165164031456159098
y[1] (numeric) = 0.25594921967481649600678757524058
absolute error = 2.0396358040669227845300869148347e-17
relative error = 7.9689080773845689922286628284321e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.995
Order of pole = 3.556
x[1] = -1.704
y[1] (analytic) = 0.25617273830212807817162343837099
y[1] (numeric) = 0.25617273830212805761449188956591
absolute error = 2.0557131548805075530681706448034e-17
relative error = 8.0247147628020273722777600197850e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.995
Order of pole = 3.557
x[1] = -1.703
y[1] (analytic) = 0.25639651618669666164044029435346
y[1] (numeric) = 0.25639651618669664092159430931208
absolute error = 2.0718845985041375409194990844804e-17
relative error = 8.0807829580472237743320986047823e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.994
Order of pole = 3.557
x[1] = -1.702
y[1] (analytic) = 0.25662055366397694110352996968798
y[1] (numeric) = 0.25662055366397692022202435363734
absolute error = 2.0881505616050639707119510296516e-17
relative error = 8.1371134610648597013262136201503e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.993
Order of pole = 3.558
x[1] = -1.701
y[1] (analytic) = 0.25684485106979733143336635501969
y[1] (numeric) = 0.25684485106979731038825163036376
absolute error = 2.1045114724655928986949642289747e-17
relative error = 8.1937070714090118573718724240544e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.992
Order of pole = 3.558
x[1] = -1.7
y[1] (analytic) = 0.25706940874035989717223650385604
y[1] (numeric) = 0.2570694087403598759625588939828
absolute error = 2.1209677609873239572456446740793e-17
relative error = 8.2505645902406901936855577821687e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.991
Order of pole = 3.559
x[1] = -1.699
y[1] (analytic) = 0.25729422701224025826165330580628
y[1] (numeric) = 0.25729422701224023688645471885244
absolute error = 2.1375198586953841018911826260439e-17
relative error = 8.3076868203253385457943722855649e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.99
Order of pole = 3.559
x[1] = -1.698
y[1] (analytic) = 0.25751930622238749239030450112845
y[1] (numeric) = 0.25751930622238747084862251370189
absolute error = 2.1541681987426561660120212491661e-17
relative error = 8.3650745660302773944825449628468e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.99
Order of pole = 3.56
x[1] = -1.697
y[1] (analytic) = 0.25774464670812403394084605711261
y[1] (numeric) = 0.25774464670812401223171389797259
absolute error = 2.1709132159140020243509498392674e-17
relative error = 8.4227286333220882800950343449381e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.989
Order of pole = 3.561
x[1] = -1.696
y[1] (analytic) = 0.25797024880714556951575888655913
y[1] (numeric) = 0.25797024880714554763820542025433
absolute error = 2.1877553466304801643982739167110e-17
relative error = 8.4806498297639393969560993831213e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.988
Order of pole = 3.561
x[1] = -1.695
y[1] (analytic) = 0.25819611285752093002239851279039
y[1] (numeric) = 0.25819611285752090797544822325482
absolute error = 2.2046950289535574626523527663420e-17
relative error = 8.5388389645128518917891285728618e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.987
Order of pole = 3.562
x[1] = -1.694
y[1] (analytic) = 0.2584222391976919792972775733945
y[1] (numeric) = 0.25842223919769195707995054750135
absolute error = 2.2217327025893149606679948406232e-17
relative error = 8.5972968483169063871394568830899e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.986
Order of pole = 3.562
x[1] = -1.693
y[1] (analytic) = 0.25864862816647349924953100537498
y[1] (numeric) = 0.2586486281664734768608429164485
absolute error = 2.2388688088926474337023659230285e-17
relative error = 8.6560242935123892479043385475432e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 3.563
x[1] = -1.692
y[1] (analytic) = 0.25887528010305307150342336670408
y[1] (numeric) = 0.25887528010305304894238545798952
absolute error = 2.2561037908714565426490968339978e-17
relative error = 8.7150221140208781061636607925639e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 3.563
x[1] = -1.691
y[1] (analytic) = 0.25910219534699095551966702258672
y[1] (numeric) = 0.25910219534699093278528609067834
absolute error = 2.2734380931908373578160791436198e-17
relative error = 8.7742911253462661565813589492969e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.984
Order of pole = 3.564
x[1] = -1.69
y[1] (analytic) = 0.25932937423821996317522885817277
y[1] (numeric) = 0.25932937423821994026650723640018
absolute error = 2.2908721621772580409509108617001e-17
relative error = 8.8338321445717247317108073738018e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.983
Order of pole = 3.565
x[1] = -1.689
y[1] (analytic) = 0.25955681711704532978121177214753
y[1] (numeric) = 0.2595568171170453066971473139202
absolute error = 2.3084064458227324697500010723025e-17
relative error = 8.8936459903566036635876938812825e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.982
Order of pole = 3.565
x[1] = -1.688
y[1] (analytic) = 0.25978452432414458151830545672198
y[1] (numeric) = 0.25978452432414455825789151883212
absolute error = 2.3260413937889855869028642704001e-17
relative error = 8.9537334829332689350310191620791e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=4.73
Complex estimate of poles used
Radius of convergence = 1.981
Order of pole = 3.566
x[1] = -1.687
y[1] (analytic) = 0.26001249620056739926920887817869
y[1] (numeric) = 0.26001249620056737583143430406257
absolute error = 2.3437774574116112535220326874988e-17
relative error = 9.0140954441038771210968785331072e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.98
Order of pole = 3.566
x[1] = -1.686
y[1] (analytic) = 0.26024073308773547882733443744802
y[1] (numeric) = 0.26024073308773545521118354040579
absolute error = 2.3616150897042223845911887476378e-17
relative error = 9.0747326972370861181405635169180e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.98
Order of pole = 3.567
x[1] = -1.685
y[1] (analytic) = 0.26046923532744238746101101133692
y[1] (numeric) = 0.26046923532744236366546355771099
absolute error = 2.3795547453625931418294702053756e-17
relative error = 9.1356460672647016549402477492331e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.979
Order of pole = 3.568
x[1] = -1.684
y[1] (analytic) = 0.26069800326185341681230995115562
y[1] (numeric) = 0.26069800326185339283634114346769
absolute error = 2.3975968807687929571183273590703e-17
relative error = 9.1968363806782590773200787102539e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.978
Order of pole = 3.568
x[1] = -1.683
y[1] (analytic) = 0.26092703723350543210952464573284
y[1] (numeric) = 0.26092703723350540795210510577972
absolute error = 2.4157419539953121573687145290500e-17
relative error = 9.2583044655255398946818673767242e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.977
Order of pole = 3.569
x[1] = -1.682
y[1] (analytic) = 0.26115633758530671767224043932764
y[1] (numeric) = 0.26115633758530669333233619123585
absolute error = 2.4339904248091789594206759133636e-17
relative error = 9.3200511514070225738127362360824e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.976
Order of pole = 3.569
x[1] = -1.681
y[1] (analytic) = 0.26138590466053681868783753088601
y[1] (numeric) = 0.26138590466053679416440998412534
absolute error = 2.4523427546760676012644378069516e-17
relative error = 9.3820772694722670622810368487611e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.976
Order of pole = 3.57
x[1] = -1.68
y[1] (analytic) = 0.26161573880284637923817496860611
y[1] (numeric) = 0.26161573880284635453018090096214
absolute error = 2.4707994067643973735518434695294e-17
relative error = 9.4443836524162325206645664779291e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.975
Order of pole = 3.57
x[1] = -1.679
y[1] (analytic) = 0.26184584035625697655510899202182
y[1] (numeric) = 0.2618458403562569516615005325276
absolute error = 2.4893608459494223130292617845129e-17
relative error = 9.5069711344755277397735849547878e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.974
Order of pole = 3.571
x[1] = -1.678
y[1] (analytic) = 0.26207620966516095148340376194674
y[1] (numeric) = 0.26207620966516092640312837377363
absolute error = 2.5080275388173113171678640543359e-17
relative error = 9.5698405514245937159363441863046e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.973
Order of pole = 3.572
x[1] = -1.677
y[1] (analytic) = 0.26230684707432123512949695579789
y[1] (numeric) = 0.2623068470743212098614974191057
absolute error = 2.5267999536692184368942922741685e-17
relative error = 9.6329927405718178543067803712885e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.972
Order of pole = 3.572
x[1] = -1.676
y[1] (analytic) = 0.26253775292887117167448679120057
y[1] (numeric) = 0.26253775292887114621770118594714
absolute error = 2.5456785605253431019341341254941e-17
relative error = 9.6964285407555792670326704647882e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.971
Order of pole = 3.573
x[1] = -1.675
y[1] (analytic) = 0.26276892757431433732961077352603
y[1] (numeric) = 0.26276892757431431168297246223623
absolute error = 2.5646638311289800308721715061290e-17
relative error = 9.7601487923402246299879076880123e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.971
Order of pole = 3.573
x[1] = -1.674
y[1] (analytic) = 0.26300037135652435541238984229446
y[1] (numeric) = 0.26300037135652432957482745278887
absolute error = 2.5837562389505585756069771030482e-17
relative error = 9.8241543372119740586245944714696e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.97
Order of pole = 3.574
x[1] = -1.673
y[1] (analytic) = 0.26323208462174470752151461635635
y[1] (numeric) = 0.26323208462174468149195202443963
absolute error = 2.6029562591916712474329934262925e-17
relative error = 9.8884460187747564603393742839521e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.969
Order of pole = 3.575
x[1] = -1.672
y[1] (analytic) = 0.26346406771658854078845310761137
y[1] (numeric) = 0.26346406771658851456580941972046
absolute error = 2.6222643687890911695206366346891e-17
relative error = 9.9530246819459738175738160804400e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.968
Order of pole = 3.575
x[1] = -1.671
y[1] (analytic) = 0.26369632098803847118366158690864
y[1] (numeric) = 0.26369632098803844476685112272086
absolute error = 2.6416810464187781980841188490341e-17
relative error = 1.0017891173152193852680716948180e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.967
Order of pole = 3.576
x[1] = -1.67
y[1] (analytic) = 0.26392884478344638285518224286732
y[1] (numeric) = 0.26392884478344635624311451786859
absolute error = 2.6612067724998734520274725937608e-17
relative error = 1.0083046340324770522386890910500e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.4MB, time=5.00
Complex estimate of poles used
Radius of convergence = 1.966
Order of pole = 3.576
x[1] = -1.669
y[1] (analytic) = 0.26416163945053322347731287383825
y[1] (numeric) = 0.26416163945053319666889258185143
absolute error = 2.6808420291986819883415843406909e-17
relative error = 1.0148491032895391786468356358330e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.966
Order of pole = 3.577
x[1] = -1.668
y[1] (analytic) = 0.26439470533738879558693509427258
y[1] (numeric) = 0.26439470533738876858106208994614
absolute error = 2.7005873004326433579887953364787e-17
relative error = 1.0214226101791554092025813452718e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.965
Order of pole = 3.577
x[1] = -1.667
y[1] (analytic) = 0.26462804279247154388498841855371
y[1] (numeric) = 0.26462804279247151668055769981081
absolute error = 2.7204430718742897744567011513337e-17
relative error = 1.0280252399431963011506908957062e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.964
Order of pole = 3.578
x[1] = -1.666
y[1] (analytic) = 0.26486165216460833848047810706556
y[1] (numeric) = 0.26486165216460831107637979751364
absolute error = 2.7404098309551916245890705502441e-17
relative error = 1.0346570779721859469367012850397e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.963
Order of pole = 3.579
x[1] = -1.665
y[1] (analytic) = 0.26509553380299425405430482009954
y[1] (numeric) = 0.26509553380299422644942415140064
absolute error = 2.7604880668698900487092029090177e-17
relative error = 1.0413182098048270988992072943469e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.962
Order of pole = 3.579
x[1] = -1.664
y[1] (analytic) = 0.26532968805719234492010392433222
y[1] (numeric) = 0.26532968805719231711332121853406
absolute error = 2.7806782705798163144394447189669e-17
relative error = 1.0480087211275187388225565443536e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 3.58
x[1] = -1.663
y[1] (analytic) = 0.26556411527713341595918173322544
y[1] (numeric) = 0.26556411527713338794937238505347
absolute error = 2.8009809348171977059898826851327e-17
relative error = 1.0547286977738660348546616552772e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 3.58
x[1] = -1.662
y[1] (analytic) = 0.26579881581311578940653503600511
y[1] (numeric) = 0.26579881581311576119256949511561
absolute error = 2.8213965540889496480393161621474e-17
relative error = 1.0614782257241826279638028995142e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.96
Order of pole = 3.581
x[1] = -1.661
y[1] (analytic) = 0.26603379001580506746483897905809
y[1] (numeric) = 0.26603379001580503904558273225255
absolute error = 2.8419256246805537806623775303462e-17
relative error = 1.0682573911049851897761204808746e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.959
Order of pole = 3.581
x[1] = -1.66
y[1] (analytic) = 0.26626903823623389072318670784961
y[1] (numeric) = 0.26626903823623386209750026125039
absolute error = 2.8625686446599216990680076397073e-17
relative error = 1.0750662801884801933019809491685e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.958
Order of pole = 3.582
x[1] = -1.659
y[1] (analytic) = 0.26650456082580169235726215600591
y[1] (numeric) = 0.26650456082580166352400101719347
absolute error = 2.8833261138812440692062963971035e-17
relative error = 1.0819049793920428377245471051220e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.957
Order of pole = 3.583
x[1] = -1.658
y[1] (analytic) = 0.26674035813627444808752498023454
y[1] (numeric) = 0.26674035813627441904553964034629
absolute error = 2.9041985339888248275728574124948e-17
relative error = 1.0887735752776880680876849816576e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.956
Order of pole = 3.583
x[1] = -1.657
y[1] (analytic) = 0.26697643051978442187188388447503
y[1] (numeric) = 0.26697643051978439262001980026603
absolute error = 2.9251864084209001707923115377501e-17
relative error = 1.0956721545515336303828050919062e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.956
Order of pole = 3.584
x[1] = -1.656
y[1] (analytic) = 0.26721277832882990730923145329548
y[1] (numeric) = 0.26721277832882987784632902916106
absolute error = 2.9462902424134420377949980334357e-17
relative error = 1.1026008040632551021953581760456e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.955
Order of pole = 3.584
x[1] = -1.655
y[1] (analytic) = 0.26744940191627496473011012229124
y[1] (numeric) = 0.26744940191627493505500469225178
absolute error = 2.9675105430039457846136046135390e-17
relative error = 1.1095596108055328387314882990138e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.954
Order of pole = 3.585
x[1] = -1.654
y[1] (analytic) = 0.26768630163534915395067505131546
y[1] (numeric) = 0.26768630163534912406219686096345
absolute error = 2.9888478190352017490188991026215e-17
relative error = 1.1165486619134907737037885680049e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.953
Order of pole = 3.585
x[1] = -1.653
y[1] (analytic) = 0.26792347783964726266601543399986
y[1] (numeric) = 0.26792347783964723256298962240936
absolute error = 3.0103025811590503993860459825950e-17
relative error = 1.1235680446641270142122072499851e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.952
Order of pole = 3.586
x[1] = -1.652
y[1] (analytic) = 0.26816093088312903045879117342933
y[1] (numeric) = 0.26816093088312900014003775502812
absolute error = 3.0318753418401207593349905308643e-17
relative error = 1.1306178464757361684119150528608e-14 %
h = 0.001
memory used=76.2MB, alloc=4.4MB, time=5.27
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.951
Order of pole = 3.586
x[1] = -1.651
y[1] (analytic) = 0.26839866112011886839903687824444
y[1] (numeric) = 0.26839866112011883786337072464892
absolute error = 3.0535666153595517968199811210110e-17
relative error = 1.1376981549073233444143682480644e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.951
Order of pole = 3.587
x[1] = -1.65
y[1] (analytic) = 0.26863666890530557421087978509066
y[1] (numeric) = 0.2686366689053055434571106069037
absolute error = 3.0753769178186964634543658781150e-17
relative error = 1.1448090576580097585208876981283e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.95
Order of pole = 3.587
x[1] = -1.649
y[1] (analytic) = 0.26887495459374204298181249144642
y[1] (numeric) = 0.26887495459374201200874482001833
absolute error = 3.0973067671428080669472323075743e-17
relative error = 1.1519506425664298905398213345563e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.949
Order of pole = 3.588
x[1] = -1.648
y[1] (analytic) = 0.26911351854084497339005528668125
y[1] (numeric) = 0.26911351854084494219648845583416
absolute error = 3.1193566830847086565981465553149e-17
relative error = 1.1591229976101201235887679177481e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.948
Order of pole = 3.589
x[1] = -1.647
y[1] (analytic) = 0.26935236110239456942543639796165
y[1] (numeric) = 0.26935236110239453801016452567726
absolute error = 3.1415271872284390988450811714874e-17
relative error = 1.1663262109048988054324137962995e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.947
Order of pole = 3.589
x[1] = -1.646
y[1] (analytic) = 0.2695914826345342375791116205791
y[1] (numeric) = 0.2695914826345342059409235906502
absolute error = 3.1638188029928905168884849629978e-17
relative error = 1.1735603707042376680542727489007e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.946
Order of pole = 3.59
x[1] = -1.645
y[1] (analytic) = 0.26983088349377027947733757867257
y[1] (numeric) = 0.2698308834937702476150170223184
absolute error = 3.1862320556354167654212338219229e-17
relative error = 1.1808255653986245418070228074892e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.946
Order of pole = 3.59
x[1] = -1.644
y[1] (analytic) = 0.2700705640369715799344052614067
y[1] (numeric) = 0.27007056403697154784673053885242
absolute error = 3.2087674722554276084797951666815e-17
relative error = 1.1881218835149173001312042836298e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.945
Order of pole = 3.591
x[1] = -1.643
y[1] (analytic) = 0.27031052462136929039973250070483
y[1] (numeric) = 0.27031052462136925808547668272521
absolute error = 3.2314255817979622653962284654006e-17
relative error = 1.1954494137156889704757812000098e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.944
Order of pole = 3.591
x[1] = -1.642
y[1] (analytic) = 0.27055076560455650777400569888133
y[1] (numeric) = 0.2705507656045564752319365483089
absolute error = 3.2542069150572429867735176407473e-17
relative error = 1.2028082447985639466964752057095e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.943
Order of pole = 3.592
x[1] = -1.641
y[1] (analytic) = 0.27079128734448794856915237723609
y[1] (numeric) = 0.27079128734448791579803233043401
absolute error = 3.2771120046802083193280751819416e-17
relative error = 1.2101984656955452378488581605964e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.942
Order of pole = 3.592
x[1] = -1.64
y[1] (analytic) = 0.2710320901994796183868169991327
y[1] (numeric) = 0.27103209019947958538540314743244
absolute error = 3.3001413851700257153429595019348e-17
relative error = 1.2176201654723326879329383378339e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.942
Order of pole = 3.593
x[1] = -1.639
y[1] (analytic) = 0.27127317452820847668990302255284
y[1] (numeric) = 0.27127317452820844345694709365701
absolute error = 3.3232955928895831393532932601384e-17
relative error = 1.2250734333276321007843971364007e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.941
Order of pole = 3.593
x[1] = -1.638
y[1] (analytic) = 0.27151454068971209684163425688099
y[1] (numeric) = 0.2715145406897120633758825962314
absolute error = 3.3465751660649593215414476081869e-17
relative error = 1.2325583585924552039447299364647e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.94
Order of pole = 3.594
x[1] = -1.637
y[1] (analytic) = 0.27175618904338832138647833600424
y[1] (numeric) = 0.27175618904338828768667188811552
absolute error = 3.3699806447888723041536519983073e-17
relative error = 1.2400750307294103849783179860159e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.939
Order of pole = 3.594
x[1] = -1.636
y[1] (analytic) = 0.27199811994899491254716447399916
y[1] (numeric) = 0.2719981199489948786120387637581
absolute error = 3.3935125710241059240616875223268e-17
relative error = 1.2476235393319841333389097929084e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.938
Order of pole = 3.595
x[1] = -1.635
y[1] (analytic) = 0.2722403337666491979119166400098
y[1] (numeric) = 0.27224033376664916374020175394066
absolute error = 3.4171714886069138713831097423073e-17
relative error = 1.2552039741238131205211223283187e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 3.595
memory used=80.1MB, alloc=4.4MB, time=5.54
x[1] = -1.634
y[1] (analytic) = 0.27248283085682771128591187469278
y[1] (numeric) = 0.27248283085682767687633244218877
absolute error = 3.4409579432504009608409104717321e-17
relative error = 1.2628164249579468508643864431196e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 3.596
x[1] = -1.633
y[1] (analytic) = 0.27272561158036582868086167111528
y[1] (numeric) = 0.27272561158036579403213684563646
absolute error = 3.4648724825478812492885526377294e-17
relative error = 1.2704609818161008150072593782683e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.936
Order of pole = 3.596
x[1] = -1.632
y[1] (analytic) = 0.27296867629845739941650215754442
y[1] (numeric) = 0.27296867629845736452734559778229
absolute error = 3.4889156559762126295487837027080e-17
relative error = 1.2781377348079000776192123387310e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.935
Order of pole = 3.597
x[1] = -1.631
y[1] (analytic) = 0.27321202537265437230766624746835
y[1] (numeric) = 0.27321202537265433717678609847727
absolute error = 3.5130880148991075274144364907239e-17
relative error = 1.2858467741701132306648751280324e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.934
Order of pole = 3.597
x[1] = -1.63
y[1] (analytic) = 0.27345565916486641691049796275534
y[1] (numeric) = 0.27345565916486638153659683705115
absolute error = 3.5373901125704193253364468387947e-17
relative error = 1.2935881902658766430822852444788e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.933
Order of pole = 3.597
x[1] = -1.629
y[1] (analytic) = 0.27369957803736053980125578840395
y[1] (numeric) = 0.27369957803736050418303074702991
absolute error = 3.5618225041374041329784403174789e-17
relative error = 1.3013620735839089373819481659994e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 3.598
x[1] = -1.628
y[1] (analytic) = 0.27394378235276069586103818118861
y[1] (numeric) = 0.27394378235276065999718071474903
absolute error = 3.5863857466439575214483502382913e-17
relative error = 1.3091685147377156232974714536255e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 3.598
x[1] = -1.627
y[1] (analytic) = 0.27418827247404739453965022898834
y[1] (numeric) = 0.27418827247404735842884623865008
absolute error = 3.6110803990338258346255110530430e-17
relative error = 1.3170076044647838182411905501374e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.931
Order of pole = 3.599
x[1] = -1.626
y[1] (analytic) = 0.27443304876455730107171594203535
y[1] (numeric) = 0.27443304876455726471264572049743
absolute error = 3.6359070221537916875864096887654e-17
relative error = 1.3248794336257669839395616191060e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.93
Order of pole = 3.599
x[1] = -1.625
y[1] (analytic) = 0.27467811158798283261802575107296
y[1] (numeric) = 0.27467811158798279600936396350463
absolute error = 3.6608661787568332586936568666935e-17
relative error = 1.3327840932036596082431594530306e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.929
Order of pole = 3.6
x[1] = -1.624
y[1] (analytic) = 0.27492346130837174930499348981244
y[1] (numeric) = 0.27492346130837171244540915475987
absolute error = 3.6859584335052569784506454252093e-17
relative error = 1.3407216743029617607248894854166e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.928
Order of pole = 3.6
x[1] = -1.623
y[1] (analytic) = 0.27516909829012674013498144947524
y[1] (numeric) = 0.27516909829012670302313791973721
absolute error = 3.7111843529738032147386773971294e-17
relative error = 1.3486922681488334502975054950552e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.927
Order of pole = 3.601
x[1] = -1.622
y[1] (analytic) = 0.27541502289800500374013601095491
y[1] (numeric) = 0.27541502289800496637469095442766
absolute error = 3.7365445056527245505439502728615e-17
relative error = 1.3566959660862387126977220342528e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.927
Order of pole = 3.601
x[1] = -1.621
y[1] (analytic) = 0.27566123549711782395225988459167
y[1] (numeric) = 0.2756612354971177863318652650833
absolute error = 3.7620394619508362467485796106138e-17
relative error = 1.3647328595790793552991264087226e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.926
Order of pole = 3.601
x[1] = -1.62
y[1] (analytic) = 0.27590773645293014016113011808851
y[1] (numeric) = 0.27590773645293010228443217610313
absolute error = 3.7876697941985384790026839444768e-17
relative error = 1.3728030402093182863297327688362e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.925
Order of pole = 3.602
x[1] = -1.619
y[1] (analytic) = 0.27615452613126011243355376908124
y[1] (numeric) = 0.27615452613126007429919300257314
absolute error = 3.8134360766508099341133527232281e-17
relative error = 1.3809065996760923551823842460598e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.924
Order of pole = 3.602
x[1] = -1.618
y[1] (analytic) = 0.27640160489827868136533547968393
y[1] (numeric) = 0.27640160489827864297194662478221
absolute error = 3.8393388854901723477809426480819e-17
relative error = 1.3890436297948146301173019149119e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.923
Order of pole = 3.603
x[1] = -1.617
y[1] (analytic) = 0.27664897312050912263821313534857
y[1] (numeric) = 0.27664897312050908398442514705232
absolute error = 3.8653787988296255618834860634293e-17
relative error = 1.3972142224962660392659056355131e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 3.603
memory used=83.9MB, alloc=4.4MB, time=5.81
x[1] = -1.616
y[1] (analytic) = 0.27689663116482659625369933899236
y[1] (numeric) = 0.27689663116482655733813537183684
absolute error = 3.8915563967155526758559307319867e-17
relative error = 1.4054184698256763004535956177618e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 3.603
x[1] = -1.615
y[1] (analytic) = 0.27714457939845769041564758295284
y[1] (numeric) = 0.27714457939845765123692497164689
absolute error = 3.9178722611305948630323470876529e-17
relative error = 1.4136564639417940649664890570346e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.921
Order of pole = 3.604
x[1] = -1.614
y[1] (analytic) = 0.27739281818897996003324275533177
y[1] (numeric) = 0.27739281818897992058997299536681
absolute error = 3.9443269759964954191160205587195e-17
relative error = 1.4219282971159461999931577650102e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.92
Order of pole = 3.604
x[1] = -1.613
y[1] (analytic) = 0.27764134790432145981599597308989
y[1] (numeric) = 0.27764134790432142010678470132076
absolute error = 3.9709211271769126062143764119298e-17
relative error = 1.4302340617310861340772148314820e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.919
Order of pole = 3.604
x[1] = -1.612
y[1] (analytic) = 0.27789016891276027193220369127069
y[1] (numeric) = 0.27789016891276023195565066646868
absolute error = 3.9976553024802008521228463817873e-17
relative error = 1.4385738502808311895201556110102e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.918
Order of pole = 3.605
x[1] = -1.611
y[1] (analytic) = 0.27813928158292402820221059538216
y[1] (numeric) = 0.27813928158292398795690967876057
absolute error = 4.0245300916621598607639637019291e-17
relative error = 1.4469477553684888252761754740783e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 3.605
x[1] = -1.61
y[1] (analytic) = 0.27838868628378942679769494167757
y[1] (numeric) = 0.27838868628378938628223407739006
absolute error = 4.0515460864287511858850496222891e-17
relative error = 1.4553558697060717134817686748225e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 3.605
x[1] = -1.609
y[1] (analytic) = 0.27863838338468174341807376728289
y[1] (numeric) = 0.27863838338468170263103496289508
absolute error = 4.0787038804387818162897136554533e-17
relative error = 1.4637982861133015723627643833497e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.916
Order of pole = 3.606
x[1] = -1.608
y[1] (analytic) = 0.27888837325527433691500374825974
y[1] (numeric) = 0.27888837325527429585496305519419
absolute error = 4.1060040693065543170249152374568e-17
relative error = 1.4722750975166016778600825670000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 3.606
x[1] = -1.607
y[1] (analytic) = 0.27913865626558814933583143821447
y[1] (numeric) = 0.27913865626558810800135893216964
absolute error = 4.1334472506044830670664098219025e-17
relative error = 1.4807863969480779759128992800065e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.914
Order of pole = 3.606
x[1] = -1.606
y[1] (analytic) = 0.27938923278599120035672417242115
y[1] (numeric) = 0.27938923278599115874638393376439
absolute error = 4.1610340238656761301409112906347e-17
relative error = 1.4893322775444887169341034764246e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.913
Order of pole = 3.607
x[1] = -1.605
y[1] (analytic) = 0.27964010318719807607609007207724
y[1] (numeric) = 0.27964010318719803418844016621241
absolute error = 4.1887649905864822913931286369189e-17
relative error = 1.4979128325462025336079112833838e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 3.607
x[1] = -1.604
y[1] (analytic) = 0.27989126784026941213877232972535
y[1] (numeric) = 0.27989126784026936997236478743532
absolute error = 4.2166407542290027886498618839103e-17
relative error = 1.5065281552961448827332844936625e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 3.607
x[1] = -1.603
y[1] (analytic) = 0.28014272711661137116137929952552
y[1] (numeric) = 0.28014272711661132871476009728985
absolute error = 4.2446619202235672630514539256809e-17
relative error = 1.5151783392387327714293837396196e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.911
Order of pole = 3.608
x[1] = -1.602
y[1] (analytic) = 0.28039448138797511442898785443264
y[1] (numeric) = 0.28039448138797507170069689472091
absolute error = 4.2728290959711734498129752712503e-17
relative error = 1.5238634779187976876106794259288e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.91
Order of pole = 3.608
x[1] = -1.601
y[1] (analytic) = 0.28064653102645626783333300591238
y[1] (numeric) = 0.28064653102645622482190409745348
absolute error = 4.3011428908458901258434514624357e-17
relative error = 1.5325836649804966542295512094403e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.909
Order of pole = 3.608
x[1] = -1.6
y[1] (analytic) = 0.28089887640449438202247191011236
y[1] (numeric) = 0.28089887640449433872643274814013
absolute error = 4.3296039161972228268911122399140e-17
relative error = 1.5413389941662113263732359574094e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.908
Order of pole = 3.609
x[1] = -1.599
y[1] (analytic) = 0.28115151789487238673178510689802
y[1] (numeric) = 0.28115151789487234314965725337361
absolute error = 4.3582127853524418427959314624510e-17
relative error = 1.5501295593154350498898411821577e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=6.08
Complex estimate of poles used
Radius of convergence = 1.907
Order of pole = 3.609
x[1] = -1.598
y[1] (analytic) = 0.28140445587071603926605215437623
y[1] (numeric) = 0.28140445587071599539635101818751
absolute error = 4.3869701136188719953175215637216e-17
relative error = 1.5589554543636477998048325898927e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 3.609
x[1] = -1.597
y[1] (analytic) = 0.28165769070549336710221273098395
y[1] (numeric) = 0.28165769070549332294344754812251
absolute error = 4.4158765182861436988666303001329e-17
relative error = 1.5678167733411789163749374017265e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 3.609
x[1] = -1.596
y[1] (analytic) = 0.28191122277301410458229777944168
y[1] (numeric) = 0.28191122277301406013297159315763
absolute error = 4.4449326186284048003019451716188e-17
relative error = 1.5767136103720575562107864743889e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.905
Order of pole = 3.61
x[1] = -1.595
y[1] (analytic) = 0.282165052447429123665888361397
y[1] (numeric) = 0.28216505244742907892449800233207
absolute error = 4.4741390359064926897605267957891e-17
relative error = 1.5856460596728507754828550977446e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.904
Order of pole = 3.61
x[1] = -1.594
y[1] (analytic) = 0.28241918010322985871133257795617
y[1] (numeric) = 0.2824191801032298136763686442555
absolute error = 4.5034963933700661702698514457717e-17
relative error = 1.5946142155514891618073619713841e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.903
Order of pole = 3.61
x[1] = -1.593
y[1] (analytic) = 0.28267360611524772525482318907274
y[1] (numeric) = 0.28267360611524767992477002647578
absolute error = 4.5330053162596965696420298477331e-17
relative error = 1.6036181724060799309897557248803e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.902
Order of pole = 3.61
x[1] = -1.592
y[1] (analytic) = 0.28292833085865353275631043349147
y[1] (numeric) = 0.2829283308586534871296461154023
absolute error = 4.5626664318089175738761692735262e-17
relative error = 1.6126580247237074043832660755184e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 3.611
x[1] = -1.591
y[1] (analytic) = 0.2831833547089568912810960102014
y[1] (numeric) = 0.28318335470895684535629231773906
absolute error = 4.5924803692462332569929442407469e-17
relative error = 1.6217338670792207821987301131409e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 3.611
x[1] = -1.59
y[1] (analytic) = 0.28343867804200561208582523171112
y[1] (numeric) = 0.28343867804200556586134763374028
absolute error = 4.6224477597970837778961232274226e-17
relative error = 1.6308457941340091276795312358670e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.9
Order of pole = 3.611
x[1] = -1.589
y[1] (analytic) = 0.28369430123398510207746499850635
y[1] (numeric) = 0.28369430123398505555177263164867
absolute error = 4.6525692366857682104989504114449e-17
relative error = 1.6399939006347634766320170783261e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.899
Order of pole = 3.611
x[1] = -1.588
y[1] (analytic) = 0.28395022466141775211372547237959
y[1] (numeric) = 0.28395022466141770528527112100635
absolute error = 4.6828454351373239689687884666515e-17
relative error = 1.6491782814122259863772016969699e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.898
Order of pole = 3.611
x[1] = -1.587
y[1] (analytic) = 0.28420644870116231911325314353648
y[1] (numeric) = 0.28420644870116227198048321974285
absolute error = 4.7132769923793622855311770325371e-17
relative error = 1.6583990313799260377639148040197e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.897
Order of pole = 3.612
x[1] = -1.586
y[1] (analytic) = 0.28446297373041330194379239209466
y[1] (numeric) = 0.28446297373041325450514691565607
absolute error = 4.7438645476438591938343380131189e-17
relative error = 1.6676562455329032034568456513966e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 3.612
x[1] = -1.585
y[1] (analytic) = 0.28471980012670031105638163842009
y[1] (numeric) = 0.28471980012670026331029421673108
absolute error = 4.7746087421689014664070500011295e-17
relative error = 1.6769500189464169952851501190217e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 3.612
x[1] = -1.584
y[1] (analytic) = 0.28497692826788743183351875832133
y[1] (numeric) = 0.28497692826788738377841656631746
absolute error = 4.8055102192003869502466067863204e-17
relative error = 1.6862804467746433030084557023178e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.895
Order of pole = 3.612
x[1] = -1.583
y[1] (analytic) = 0.28523435853217258161909860808485
y[1] (numeric) = 0.28523435853217253325340236814807
absolute error = 4.8365696239936787400491562952912e-17
relative error = 1.6956476242493574364272196514942e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.894
Order of pole = 3.612
x[1] = -1.582
y[1] (analytic) = 0.2854920912980868603977932603311
y[1] (numeric) = 0.28549209129808681171991722217898
absolute error = 4.8677876038152126240419739263675e-17
relative error = 1.7050516466786036823334799079262e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.893
Order of pole = 3.612
x[1] = -1.581
y[1] (analytic) = 0.28575012694449389509141289436018
y[1] (numeric) = 0.28575012694449384609976481491961
absolute error = 4.8991648079440572327960458987994e-17
relative error = 1.7144926094453512873660963181648e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=6.35
Complex estimate of poles used
Radius of convergence = 1.892
Order of pole = 3.613
x[1] = -1.58
y[1] (analytic) = 0.28600846585058917743965221370553
y[1] (numeric) = 0.28600846585058912813263333697126
absolute error = 4.9307018876734263167876120673995e-17
relative error = 1.7239706080061367774016206832456e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 3.613
x[1] = -1.579
y[1] (analytic) = 0.28626710839589939543249377870007
y[1] (numeric) = 0.28626710839589934580849881557864
absolute error = 4.9623994963121425738389321361600e-17
relative error = 1.7334857378896925236779685134252e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 3.613
x[1] = -1.578
y[1] (analytic) = 0.2865260549602817582614057426698
y[1] (numeric) = 0.28652605496028170831882285080928
absolute error = 4.9942582891860524429013831638118e-17
relative error = 1.7430380946955614654131030957889e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.89
Order of pole = 3.613
x[1] = -1.577
y[1] (analytic) = 0.28678530592392331475633716660133
y[1] (numeric) = 0.28678530592392326449354793020741
absolute error = 5.0262789236393912759479588832367e-17
relative error = 1.7526277740926978982449940320766e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.889
Order of pole = 3.613
x[1] = -1.576
y[1] (analytic) = 0.28704486166734026527537935848918
y[1] (numeric) = 0.2870448616673402146907587681282
absolute error = 5.0584620590360982950172122280632e-17
relative error = 1.7622548718180542373821883547033e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.888
Order of pole = 3.613
x[1] = -1.575
y[1] (analytic) = 0.28730472257137726701382653977375
y[1] (numeric) = 0.28730472257137721610574297216294
absolute error = 5.0908083567610807366965515415726e-17
relative error = 1.7719194836751536639164434709386e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.887
Order of pole = 3.613
x[1] = -1.574
y[1] (analytic) = 0.28756488901720673269923358205779
y[1] (numeric) = 0.28756488901720668146604877984353
absolute error = 5.1233184802214265815494586128119e-17
relative error = 1.7816217055326485623100285139047e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.886
Order of pole = 3.613
x[1] = -1.573
y[1] (analytic) = 0.28782536138632812263893258237778
y[1] (numeric) = 0.28782536138632807107900163390212
absolute error = 5.1559930948475652611785337448014e-17
relative error = 1.7913616333228646566305153967042e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 3.613
x[1] = -1.572
y[1] (analytic) = 0.28808614006056723008633365445335
y[1] (numeric) = 0.28808614006056717819800497350959
absolute error = 5.1888328680943757307741807519676e-17
relative error = 1.8011393630403307526651643839338e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 3.613
x[1] = -1.571
y[1] (analytic) = 0.2883472254220754598921985063037
y[1] (numeric) = 0.28834722542207540767381381188129
absolute error = 5.2218384694422412901271148056129e-17
relative error = 1.8109549907402939926053729357573e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 3.613
x[1] = -1.57
y[1] (analytic) = 0.28860861785332910040693815117319
y[1] (numeric) = 0.28860861785332904785683244719269
absolute error = 5.2550105703980505311816005652712e-17
relative error = 1.8208086125372205285491127798608e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.883
Order of pole = 3.614
x[1] = -1.569
y[1] (analytic) = 0.28887031773712858859984845863132
y[1] (numeric) = 0.28887031773712853571635001366988
absolute error = 5.2883498444961437852752997046126e-17
relative error = 1.8307003246032815206258406780739e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.882
Order of pole = 3.614
x[1] = -1.568
y[1] (analytic) = 0.28913232545659776836105919579578
y[1] (numeric) = 0.28913232545659771514248952280374
absolute error = 5.3218569672992044382507189201029e-17
relative error = 1.8406302231668243651040454474322e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.881
Order of pole = 3.614
x[1] = -1.567
y[1] (analytic) = 0.28939464139518314195183373467547
y[1] (numeric) = 0.28939464139518308839650757068452
absolute error = 5.3555326163990944766323954745688e-17
relative error = 1.8505984045108290573963999606022e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.88
Order of pole = 3.614
x[1] = -1.566
y[1] (analytic) = 0.28965726593665311456871771045628
y[1] (numeric) = 0.28965726593665306067494299627994
absolute error = 5.3893774714176336230430314870391e-17
relative error = 1.8606049649713495944314348012468e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 3.614
x[1] = -1.565
y[1] (analytic) = 0.28992019946509723198689560698418
y[1] (numeric) = 0.28992019946509717775297346691096
absolute error = 5.4233922140073214139806852974242e-17
relative error = 1.8706500009359403204137529245008e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 3.614
x[1] = -1.564
y[1] (analytic) = 0.29018344236492541124797451957229
y[1] (numeric) = 0.29018344236492535667219924105228
absolute error = 5.4575775278520015679977436412159e-17
relative error = 1.8807336088420671195470752371020e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.878
Order of pole = 3.614
x[1] = -1.563
y[1] (analytic) = 0.29044699502086716435727420142325
y[1] (numeric) = 0.29044699502086710943793321474857
absolute error = 5.4919340986674679872106279827194e-17
relative error = 1.8908558851755033588458588615036e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=6.62
Complex estimate of poles used
Radius of convergence = 1.877
Order of pole = 3.614
x[1] = -1.562
y[1] (analytic) = 0.29071085781797081495556193827394
y[1] (numeric) = 0.29071085781797075969093579625383
absolute error = 5.5264626142020117299269286958739e-17
relative error = 1.9010169264687104837118766112930e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.876
Order of pole = 3.614
x[1] = -1.561
y[1] (analytic) = 0.29097503114160270793002981621144
y[1] (numeric) = 0.29097503114160265231839217384236
absolute error = 5.5611637642369082870038089907411e-17
relative error = 1.9112168292992031685020017438469e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.875
Order of pole = 3.614
x[1] = -1.56
y[1] (analytic) = 0.29123951537744641192917054986021
y[1] (numeric) = 0.29123951537744635596878814399176
absolute error = 5.5960382405868444893479743410994e-17
relative error = 1.9214556902878989238625204697599e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 3.614
x[1] = -1.559
y[1] (analytic) = 0.29150431091150191474606622220033
y[1] (numeric) = 0.29150431091150185843519885119748
absolute error = 5.6310867371002843687331611107733e-17
relative error = 1.9317336060974520621536103260447e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 3.614
x[1] = -1.558
y[1] (analytic) = 0.29176941813008481153446205305302
y[1] (numeric) = 0.29176941813008475487136255645528
absolute error = 5.6663099496597732888458592147611e-17
relative error = 1.9420506734305719218351899421741e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.873
Order of pole = 3.614
x[1] = -1.557
y[1] (analytic) = 0.29203483741982548582185466068618
y[1] (numeric) = 0.29203483741982542880476889886439
absolute error = 5.7017085761821796581737477907714e-17
relative error = 1.9524069890283252512321797698801e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.872
Order of pole = 3.613
x[1] = -1.556
y[1] (analytic) = 0.29230056916766828328368120998405
y[1] (numeric) = 0.29230056916766822591084804379532
absolute error = 5.7372833166188735310239905145196e-17
relative error = 1.9628026496684226516433290812881e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.871
Order of pole = 3.613
x[1] = -1.555
y[1] (analytic) = 0.29256661376087067824255235113845
y[1] (numeric) = 0.29256661376087062051220362158004
absolute error = 5.7730348729558413976000096163924e-17
relative error = 1.9732377521634889793031772869070e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.87
Order of pole = 3.613
x[1] = -1.554
y[1] (analytic) = 0.29283297158700243285632794481621
y[1] (numeric) = 0.29283297158700237476668845267885
absolute error = 5.8089639492137364586755368466821e-17
relative error = 1.9837123933593176052514429586324e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.869
Order of pole = 3.613
x[1] = -1.553
y[1] (analytic) = 0.29309964303394474895869024321115
y[1] (numeric) = 0.29309964303394469050797772873252
absolute error = 5.8450712514478636749835283603521e-17
relative error = 1.9942266701331084317081876911605e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 3.613
x[1] = -1.552
y[1] (analytic) = 0.29336662848988941251572445128706
y[1] (numeric) = 0.29336662848988935370214957380607
absolute error = 5.8813574877480988759848323088442e-17
relative error = 2.0047806793916895630965001830486e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 3.613
x[1] = -1.551
y[1] (analytic) = 0.29363392834333793066187142886087
y[1] (numeric) = 0.29363392834333787148363774647346
absolute error = 5.9178233682387412071972172041780e-17
relative error = 2.0153745180697225293972050107766e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.867
Order of pole = 3.613
x[1] = -1.55
y[1] (analytic) = 0.29390154298310066127847171197649
y[1] (numeric) = 0.29390154298310060173377566119351
absolute error = 5.9544696050782981897494110580357e-17
relative error = 2.0260082831278909590622371124966e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.866
Order of pole = 3.613
x[1] = -1.549
y[1] (analytic) = 0.29416947279829593507797403130728
y[1] (numeric) = 0.29416947279829587516500490671525
absolute error = 5.9912969124592026602770719447732e-17
relative error = 2.0366820715510725982548538646134e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.865
Order of pole = 3.613
x[1] = -1.548
y[1] (analytic) = 0.2944377181783491701567350861407
y[1] (numeric) = 0.29443771817834910987367502006609
absolute error = 6.0283060066074608536980169129034e-17
relative error = 2.0473959803464945727257989633361e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.864
Order of pole = 3.613
x[1] = -1.547
y[1] (analytic) = 0.29470627951299197897919049489731
y[1] (numeric) = 0.294706279512991918324214437075
absolute error = 6.0654976057822308857924858875688e-17
relative error = 2.0581501065418717881749035246072e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.863
Order of pole = 3.613
x[1] = -1.546
y[1] (analytic) = 0.29497515719226126775602958718817
y[1] (numeric) = 0.29497515719226120672730528443486
absolute error = 6.1028724302753308868706190937274e-17
relative error = 2.0689445471835283644874275719551e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 3.612
x[1] = -1.545
y[1] (analytic) = 0.29524435160649832817885902820322
y[1] (numeric) = 0.29524435160649826677454700409646
absolute error = 6.1404312024106760321335902484657e-17
relative error = 2.0797793993345019987737273511310e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=6.89
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 3.612
x[1] = -1.544
y[1] (analytic) = 0.29551386314634792147369217384726
y[1] (numeric) = 0.29551386314634785969194570841082
absolute error = 6.1781746465436437086268739406215e-17
relative error = 2.0906547600726311516795989295131e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.861
Order of pole = 3.612
x[1] = -1.543
y[1] (analytic) = 0.29578369220275735473545254461231
y[1] (numeric) = 0.29578369220275729257441765400865
absolute error = 6.2161034890603660529438458357562e-17
relative error = 2.1015707264886249509729148249971e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.86
Order of pole = 3.612
x[1] = -1.542
y[1] (analytic) = 0.29605383916697554950553087782332
y[1] (numeric) = 0.29605383916697548696334629405383
absolute error = 6.2542184583769490880652312153768e-17
relative error = 2.1125273956841157059499567650976e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.859
Order of pole = 3.612
x[1] = -1.541
y[1] (analytic) = 0.29632430443055210255428587176092
y[1] (numeric) = 0.29632430443055203962908302237474
absolute error = 6.2925202849386176819147445066546e-17
relative error = 2.1235248647696939257421731906462e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.858
Order of pole = 3.612
x[1] = -1.54
y[1] (analytic) = 0.29659508838533633883022897140823
y[1] (numeric) = 0.29659508838533627552013195922038
absolute error = 6.3310097012187855443735145558085e-17
relative error = 2.1345632308629257341409741676364e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.857
Order of pole = 3.611
x[1] = -1.539
y[1] (analytic) = 0.2968661914234763565374833643608
y[1] (numeric) = 0.2968661914234762928406089471803
absolute error = 6.3696874417180494736254831887267e-17
relative error = 2.1456425910863525730946386256373e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 3.611
x[1] = -1.538
y[1] (analytic) = 0.29713761393741806430295675696877
y[1] (numeric) = 0.2971376139374180002174143273377
absolute error = 6.4085542429631070568028149246506e-17
relative error = 2.1567630425654730865674692671276e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 3.611
x[1] = -1.537
y[1] (analytic) = 0.29740935631990421039451648525192
y[1] (numeric) = 0.29740935631990414591840805019595
absolute error = 6.4476108435055970239643815194576e-17
relative error = 2.1679246824267070759870093525197e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.855
Order of pole = 3.611
x[1] = -1.536
y[1] (analytic) = 0.2976814189639734039513040827602
y[1] (numeric) = 0.29768141896397333908272424355158
absolute error = 6.4868579839208614484715054132967e-17
relative error = 2.1791276077953414180404534248866e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 3.611
x[1] = -1.535
y[1] (analytic) = 0.29795380226295912818717457858159
y[1] (numeric) = 0.2979538022629590629242105105153
absolute error = 6.5262964068066289808232814089586e-17
relative error = 2.1903719157934578351163617646782e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.853
Order of pole = 3.61
x[1] = -1.534
y[1] (analytic) = 0.29822650661048874552809353337572
y[1] (numeric) = 0.29822650661048867986882496555954
absolute error = 6.5659268567816182969788674699218e-17
relative error = 2.2016577035378424082224471329973e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.852
Order of pole = 3.61
x[1] = -1.533
y[1] (analytic) = 0.29849953240048249464417213990434
y[1] (numeric) = 0.29849953240048242858667133506373
absolute error = 6.6057500804840609361260660746642e-17
relative error = 2.2129850681378767217445636570006e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.851
Order of pole = 3.61
x[1] = -1.532
y[1] (analytic) = 0.29877288002715247933686761732213
y[1] (numeric) = 0.29877288002715241287919935162071
absolute error = 6.6457668265701426967542310127342e-17
relative error = 2.2243541066934105289461133301166e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 3.61
x[1] = -1.531
y[1] (analytic) = 0.2990465498850016492417226157841
y[1] (numeric) = 0.29904654988500158238194415866047
absolute error = 6.6859778457123627537549560420416e-17
relative error = 2.2357649162926158266409176561302e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 3.609
x[1] = -1.53
y[1] (analytic) = 0.29932054236882277230686342003652
y[1] (numeric) = 0.29932054236882270504302451405842
absolute error = 6.7263838905978096531060579232875e-17
relative error = 2.2472175940098222270062028915911e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.849
Order of pole = 3.609
x[1] = -1.529
y[1] (analytic) = 0.29959485787369739900732239792129
y[1] (numeric) = 0.29959485787369733133746523865776
absolute error = 6.7669857159263533344929848037103e-17
relative error = 2.2587122369033335140357398890201e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 3.609
x[1] = -1.528
y[1] (analytic) = 0.29986949679499481825509538248954
y[1] (numeric) = 0.29986949679499475017725459840202
absolute error = 6.8077840784087523259868908821774e-17
relative error = 2.2702489420132252716663867923631e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.847
Order of pole = 3.609
x[1] = -1.527
y[1] (analytic) = 0.30014445952837100496468950505878
y[1] (numeric) = 0.30014445952837093647689213741203
absolute error = 6.8487797367646752486301502682675e-17
relative error = 2.2818278063591234701443281923145e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.4MB, time=7.16
Complex estimate of poles used
Radius of convergence = 1.846
Order of pole = 3.608
x[1] = -1.526
y[1] (analytic) = 0.30041974646976755923376141144407
y[1] (numeric) = 0.30041974646976749033402689423771
absolute error = 6.8899734517206357624779688671656e-17
relative error = 2.2934489269379638967302115496881e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.845
Order of pole = 3.608
x[1] = -1.525
y[1] (analytic) = 0.30069535801541063709828979515129
y[1] (numeric) = 0.30069535801541056778462993507289
absolute error = 6.9313659860078400793089263258706e-17
relative error = 2.3051124007217323163751748112473e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 3.608
x[1] = -1.524
y[1] (analytic) = 0.30097129456180987282156976996162
y[1] (numeric) = 0.30097129456180980309198872636216
absolute error = 6.9729581043599461608476753663995e-17
relative error = 2.3168183246551852475324625828190e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 3.608
x[1] = -1.523
y[1] (analytic) = 0.30124755650575729267615978049898
y[1] (numeric) = 0.30124755650575722252865404539164
absolute error = 7.0147505735107337149395794945977e-17
relative error = 2.3285667956535512378019667380122e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.843
Order of pole = 3.607
x[1] = -1.522
y[1] (analytic) = 0.30152414424432622017775451351492
y[1] (numeric) = 0.30152414424432614961031289159807
absolute error = 7.0567441621916840956797199078573e-17
relative error = 2.3403579106002125236376260198890e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.842
Order of pole = 3.607
x[1] = -1.521
y[1] (analytic) = 0.30180105817487017272979962522345
y[1] (numeric) = 0.30180105817487010174040321392875
absolute error = 7.0989396411294692070273877721961e-17
relative error = 2.3521917663443669578802034767293e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.841
Order of pole = 3.607
x[1] = -1.52
y[1] (analytic) = 0.30207829869502174963750604156597
y[1] (numeric) = 0.30207829869502167822412821113249
absolute error = 7.1413377830433485029318398103031e-17
relative error = 2.3640684596986700884105562508027e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.84
Order of pole = 3.606
x[1] = -1.519
y[1] (analytic) = 0.30235586620269151144976311929662
y[1] (numeric) = 0.30235586620269143961036949287189
absolute error = 7.1839393626424731704556758492940e-17
relative error = 2.3759880874368572707511454532597e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.839
Order of pole = 3.606
x[1] = -1.518
y[1] (analytic) = 0.30263376109606685058729107678303
y[1] (numeric) = 0.30263376109606677831983951055206
absolute error = 7.2267451566230965758086407623172e-17
relative error = 2.3879507462913456969762311078303e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 3.606
x[1] = -1.517
y[1] (analytic) = 0.30291198377361085321521381496743
y[1] (numeric) = 0.30291198377361078051765437831053
absolute error = 7.2697559436656900465969059046572e-17
relative error = 2.3999565329508162228239852897080e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 3.605
x[1] = -1.516
y[1] (analytic) = 0.30319053463406115231807355159818
y[1] (numeric) = 0.30319053463406107918834850727855
absolute error = 7.3129725044319630569508941865698e-17
relative error = 2.4120055440577748744366628456219e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.837
Order of pole = 3.605
x[1] = -1.515
y[1] (analytic) = 0.30346941407642877193514858621187
y[1] (numeric) = 0.303469414076428698371192370594
absolute error = 7.3563956215617868755184275578267e-17
relative error = 2.4240978762060939156880210449240e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.836
Order of pole = 3.605
x[1] = -1.514
y[1] (analytic) = 0.30374862249999696251377500003037
y[1] (numeric) = 0.30374862249999688851351420333017
absolute error = 7.4000260796700207295993468722937e-17
relative error = 2.4362336259385323565904051375578e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.835
Order of pole = 3.604
x[1] = -1.513
y[1] (analytic) = 0.30402816030432002733821217456446
y[1] (numeric) = 0.30402816030431995289956552113206
absolute error = 7.4438646653432395319527346093011e-17
relative error = 2.4484128897442357828073444142140e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.834
Order of pole = 3.604
x[1] = -1.512
y[1] (analytic) = 0.30430802788922213999143068593464
y[1] (numeric) = 0.30430802788922206511230901457102
absolute error = 7.4879121671363622100284153236341e-17
relative error = 2.4606357640562153858311616845268e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.833
Order of pole = 3.603
x[1] = -1.511
y[1] (analytic) = 0.30458822565479615280703939940075
y[1] (numeric) = 0.30458822565479607748534564370896
absolute error = 7.5321693755691796705604733986463e-17
relative error = 2.4729023452488060729190171985037e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.832
Order of pole = 3.603
x[1] = -1.51
y[1] (analytic) = 0.30486875400140239626840645102283
y[1] (numeric) = 0.30486875400140232050203561979502
absolute error = 7.5766370831227814256120709904452e-17
relative error = 2.4852127296351035354150154055759e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 3.603
memory used=106.8MB, alloc=4.4MB, time=7.43
x[1] = -1.509
y[1] (analytic) = 0.30514961332966746931186626146867
y[1] (numeric) = 0.30514961332966739309870541910987
absolute error = 7.6213160842358798992778311937724e-17
relative error = 2.4975670134643801536205294326319e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 3.602
x[1] = -1.508
y[1] (analytic) = 0.30543080404048302049074178146792
y[1] (numeric) = 0.30543080404048294382867002845761
absolute error = 7.6662071753010314273324345993612e-17
relative error = 2.5099652929194796159097740154123e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.83
Order of pole = 3.602
x[1] = -1.507
y[1] (analytic) = 0.30571232653500451995674782004183
y[1] (numeric) = 0.3057123265350044428436362734343
absolute error = 7.7113111546607529551618256981113e-17
relative error = 2.5224076641141901293229134787981e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.829
Order of pole = 3.602
x[1] = -1.506
y[1] (analytic) = 0.30599418121465002221517755618359
y[1] (numeric) = 0.30599418121464994464888933014826
absolute error = 7.7566288226035334323265051862080e-17
relative error = 2.5348942230905960984046582702715e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 3.601
x[1] = -1.505
y[1] (analytic) = 0.30627636848109891961011018292356
y[1] (numeric) = 0.30627636848109884158850036932617
absolute error = 7.8021609813597388950847633556851e-17
relative error = 2.5474250658164081485924129475396e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.827
Order of pole = 3.601
x[1] = -1.504
y[1] (analytic) = 0.30655888873629068649571308049991
y[1] (numeric) = 0.30655888873629060801662872952581
absolute error = 7.8479084350974102211473587218160e-17
relative error = 2.5600002881822713699946222508303e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.826
Order of pole = 3.6
x[1] = -1.503
y[1] (analytic) = 0.30684174238242361404954696350946
y[1] (numeric) = 0.30684174238242353511082706432993
absolute error = 7.8938719899179525338440372689950e-17
relative error = 2.5726199859990516569370522055990e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 3.6
x[1] = -1.502
y[1] (analytic) = 0.30712492982195353568361709629349
y[1] (numeric) = 0.30712492982195345628309255777634
absolute error = 7.9400524538517152257563957750724e-17
relative error = 2.5852842549951000181923727669219e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 3.6
x[1] = -1.501
y[1] (analytic) = 0.30740845145759254300874792230313
y[1] (numeric) = 0.30740845145759246314424155376851
absolute error = 7.9864506368534615647108943790284e-17
relative error = 2.5979931908134947323466104125874e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.824
Order of pole = 3.599
x[1] = -1.5
y[1] (analytic) = 0.30769230769230769230769230769231
y[1] (numeric) = 0.30769230769230761197701879971504
absolute error = 8.0330673507977268378302978975385e-17
relative error = 2.6107468890092612222948468167000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 3.599
x[1] = -1.499
y[1] (analytic) = 0.30797649892931970147222005783183
y[1] (numeric) = 0.30797649892931962067318596309119
absolute error = 8.0799034094740639821114536490461e-17
relative error = 2.6235454450465695223979872109906e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.822
Order of pole = 3.598
x[1] = -1.498
y[1] (analytic) = 0.30826102557210163735926342877506
y[1] (numeric) = 0.3082610255721015560896671429533
absolute error = 8.1269596285821756427320792910224e-17
relative error = 2.6363889542959092113725436148394e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.821
Order of pole = 3.598
x[1] = -1.497
y[1] (analytic) = 0.30854588802437759352103002490891
y[1] (numeric) = 0.30854588802437751177866176763959
absolute error = 8.1742368257269315929891233414597e-17
relative error = 2.6492775120312416835262085651781e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.82
Order of pole = 3.597
x[1] = -1.496
y[1] (analytic) = 0.30883108669012135826382575008894
y[1] (numeric) = 0.30883108669012127604646754595624
absolute error = 8.2217358204132704424362619445989e-17
relative error = 2.6622112134271296304935695156802e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 3.597
x[1] = -1.495
y[1] (analytic) = 0.30911662197355507299016236350569
y[1] (numeric) = 0.30911662197355499029558802309585
absolute error = 8.2694574340409845524181987782678e-17
relative error = 2.6751901535558436051686683502666e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 3.596
x[1] = -1.494
y[1] (analytic) = 0.30940249427914788077855568440451
y[1] (numeric) = 0.30940249427914779760453078541063
absolute error = 8.3174024898993870707946339694863e-17
relative error = 2.6882144273844455390742805596203e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.818
Order of pole = 3.596
x[1] = -1.493
y[1] (analytic) = 0.30968870401161456515525159265158
y[1] (numeric) = 0.30968870401161448149953346103298
absolute error = 8.3655718131618599902070581677356e-17
relative error = 2.7012841297718490839518110969468e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.817
Order of pole = 3.596
x[1] = -1.492
y[1] (analytic) = 0.30997525157591417901194768609674
y[1] (numeric) = 0.30997525157591409487228537729392
absolute error = 8.4139662308802821267669077410541e-17
relative error = 2.7143993554658566479006157454736e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.816
Order of pole = 3.595
memory used=110.6MB, alloc=4.4MB, time=7.71
x[1] = -1.491
y[1] (analytic) = 0.31026213737724866362340878184569
y[1] (numeric) = 0.31026213737724857899754306205233
absolute error = 8.4625865719793359085340872067516e-17
relative error = 2.7275601991001729959413954328424e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.815
Order of pole = 3.595
x[1] = -1.49
y[1] (analytic) = 0.31054936182106145771870438806248
y[1] (numeric) = 0.31054936182106137260436771555556
absolute error = 8.5114336672506918556104289029602e-17
relative error = 2.7407667551913952844251142110422e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.814
Order of pole = 3.594
x[1] = -1.489
y[1] (analytic) = 0.31083692531303609655962582694279
y[1] (numeric) = 0.31083692531303601095454233347209
absolute error = 8.5605083493470696260933236265949e-17
relative error = 2.7540191181359793982566979398915e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.813
Order of pole = 3.594
x[1] = -1.488
y[1] (analytic) = 0.31112482825909480097966985922224
y[1] (numeric) = 0.31112482825909471488155533146049
absolute error = 8.6098114527761744945205282866048e-17
relative error = 2.7673173822071824594516188869221e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 3.593
x[1] = -1.487
y[1] (analytic) = 0.31141307106539705633680444722779
y[1] (numeric) = 0.3114130710653969697433663082827
absolute error = 8.6593438138945081217880490715841e-17
relative error = 2.7806616415519813750934007749150e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 3.593
x[1] = -1.486
y[1] (analytic) = 0.31170165413833818133306069828651
y[1] (numeric) = 0.31170165413833809424199798927599
absolute error = 8.7091062709010524678390255172361e-17
relative error = 2.7940519901879672923111290308295e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.811
Order of pole = 3.592
x[1] = -1.485
y[1] (analytic) = 0.31199057788454788665382305454375
y[1] (numeric) = 0.3119905778845477990628264162355
absolute error = 8.7590996638308256907027193205914e-17
relative error = 2.8074885220002158274482623534343e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.81
Order of pole = 3.592
x[1] = -1.484
y[1] (analytic) = 0.31227984271088882337951744020466
y[1] (numeric) = 0.31227984271088873528626909472157
absolute error = 8.8093248345483088677090617957822e-17
relative error = 2.8209713307381329361474549389914e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.809
Order of pole = 3.591
x[1] = -1.483
y[1] (analytic) = 0.31256944902445512112222434422148
y[1] (numeric) = 0.31256944902445503252439807681406
absolute error = 8.8597826267407423669157584287325e-17
relative error = 2.8345005100122762906307549867701e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.808
Order of pole = 3.591
x[1] = -1.482
y[1] (analytic) = 0.31285939723257091583957070684949
y[1] (numeric) = 0.31285939723257082673483184773659
absolute error = 8.9104738859112906889617139544477e-17
relative error = 2.8480761532911520300104861393736e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.807
Order of pole = 3.59
x[1] = -1.481
y[1] (analytic) = 0.31314968774278886727808099366154
y[1] (numeric) = 0.31314968774278877766408639994079
absolute error = 8.9613994593720745917025556455118e-17
relative error = 2.8616983538979867490233864798707e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 3.59
x[1] = -1.48
y[1] (analytic) = 0.31344032096288866599799398194584
y[1] (numeric) = 0.31344032096288857587239201957514
absolute error = 9.0125601962370693020913280097215e-17
relative error = 2.8753672050074745901392172882216e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 3.589
x[1] = -1.479
y[1] (analytic) = 0.31373129730087552993137755334138
y[1] (numeric) = 0.3137312973008754392918080791927
absolute error = 9.0639569474148676118400438909803e-17
relative error = 2.8890827996424993035551041339910e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.805
Order of pole = 3.589
x[1] = -1.478
y[1] (analytic) = 0.31402261716497869042519918454607
y[1] (numeric) = 0.314022617164978599269293528533
absolute error = 9.1155905656013066454357432359424e-17
relative error = 2.9028452306708311391483797362967e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.804
Order of pole = 3.588
x[1] = -1.477
y[1] (analytic) = 0.31431428096364986772083485644795
y[1] (numeric) = 0.31431428096364977604621580372838
absolute error = 9.1674619052719570810880729042575e-17
relative error = 2.9166545908017984340237055499009e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.803
Order of pole = 3.588
x[1] = -1.476
y[1] (analytic) = 0.31460628910556173582132376259054
y[1] (numeric) = 0.31460628910556164362560553584581
absolute error = 9.2195718226744735971542034740284e-17
relative error = 2.9305109725829337588548019461663e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.802
Order of pole = 3.587
x[1] = -1.475
y[1] (analytic) = 0.31489864199960637669750049202913
y[1] (numeric) = 0.31489864199960628397828873382108
absolute error = 9.2719211758208053085211899219376e-17
relative error = 2.9444144683965944857872603745853e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.801
Order of pole = 3.587
x[1] = -1.474
y[1] (analytic) = 0.31519134005489372378396029093421
y[1] (numeric) = 0.31519134005489363053885204614157
absolute error = 9.3245108244792649493257135673724e-17
relative error = 2.9583651704565576402366907618077e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=7.97
Complex estimate of poles used
Radius of convergence = 1.8
Order of pole = 3.586
x[1] = -1.473
y[1] (analytic) = 0.31548438368074999471563657334744
y[1] (numeric) = 0.31548438368074990094222027168288
absolute error = 9.3773416301664555502565673706825e-17
relative error = 2.9723631708045888984859199035306e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 3.586
x[1] = -1.472
y[1] (analytic) = 0.31577777328671611325559305592045
y[1] (numeric) = 0.31577777328671601895144849452992
absolute error = 9.4304144561390533505163236062686e-17
relative error = 2.9864085613069855925561485335154e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 3.585
x[1] = -1.471
y[1] (analytic) = 0.31607150928254612036445573592352
y[1] (numeric) = 0.31607150928254602552715406206906
absolute error = 9.4837301673854456763154136099152e-17
relative error = 3.0005014336510935833999434511008e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.798
Order of pole = 3.585
x[1] = -1.47
y[1] (analytic) = 0.31636559207820557436173241798222
y[1] (numeric) = 0.31636559207820547898883611181
absolute error = 9.5372896306172225095344187746218e-17
relative error = 3.0146418793417978630387344304702e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.797
Order of pole = 3.584
x[1] = -1.469
y[1] (analytic) = 0.31666002208386994012908962460271
y[1] (numeric) = 0.31666002208386984421815248199751
absolute error = 9.5910937142605204619187888682961e-17
relative error = 3.0288299896979867458441520413313e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.796
Order of pole = 3.584
x[1] = -1.468
y[1] (analytic) = 0.31695479970992296730547850032203
y[1] (numeric) = 0.31695479970992287085404561584985
absolute error = 9.6451432884472178618645403294223e-17
relative error = 3.0430658558489895087411309488295e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.795
Order of pole = 3.583
x[1] = -1.467
y[1] (analytic) = 0.3172499253669550574238227410457
y[1] (numeric) = 0.3172499253669549604294304909859
absolute error = 9.6994392250059796525138194053851e-17
relative error = 3.0573495687309873396912632495701e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.794
Order of pole = 3.583
x[1] = -1.466
y[1] (analytic) = 0.31754539946576161993880265061496
y[1] (numeric) = 0.31754539946576152239897867608345
absolute error = 9.7539823974531507915056225095891e-17
relative error = 3.0716812190833974533974680159808e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 3.582
x[1] = -1.465
y[1] (analytic) = 0.31784122241734141709509014771671
y[1] (numeric) = 0.31784122241734131900735333788174
absolute error = 9.8087736809834968343195324524397e-17
relative error = 3.0860608974452302327556970990177e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 3.582
x[1] = -1.464
y[1] (analytic) = 0.31813739463289489758520991977847
y[1] (numeric) = 0.31813739463289479894707039517057
absolute error = 9.8638139524607903747091415528326e-17
relative error = 3.1004886941514192541661745806453e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.792
Order of pole = 3.581
x[1] = -1.463
y[1] (analytic) = 0.31843391652382251894602194837613
y[1] (numeric) = 0.31843391652382241975498104429371
absolute error = 9.9191040904082420072469822605017e-17
relative error = 3.1149646993291240544056198434430e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.791
Order of pole = 3.581
x[1] = -1.462
y[1] (analytic) = 0.31873078850172305864264031485502
y[1] (numeric) = 0.31873078850172295889619056486728
absolute error = 9.9746449749987744684943679632761e-17
relative error = 3.1294890028940054963530843800173e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.79
Order of pole = 3.58
x[1] = -1.461
y[1] (analytic) = 0.3190280109783919137884225372872
y[1] (numeric) = 0.31902801097839181348404765683581
absolute error = 1.0030437488045138604767660268035e-16
relative error = 3.1440616945464735904554931231020e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.789
Order of pole = 3.58
x[1] = -1.46
y[1] (analytic) = 0.31932558436581938944948269255333
y[1] (numeric) = 0.31932558436581928858465756265463
absolute error = 1.0086482512989869805897227439289e-16
relative error = 3.1586828637679076284147757448876e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.788
Order of pole = 3.579
x[1] = -1.459
y[1] (analytic) = 0.31962350907618897548200024227462
y[1] (numeric) = 0.31962350907618887405419089332378
absolute error = 1.0142780934895083535766849178385e-16
relative error = 3.1733525998168484851766561454277e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 3.579
x[1] = -1.458
y[1] (analytic) = 0.31992178552187561185041481058711
y[1] (numeric) = 0.31992178552187550985707840626602
absolute error = 1.0199333640432108581779667023252e-16
relative error = 3.1880709917251629449017939113268e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 3.578
x[1] = -1.457
y[1] (analytic) = 0.32022041411544394237441515744117
y[1] (numeric) = 0.3202204141154438398129999787316
absolute error = 1.0256141517870956636722093064615e-16
relative error = 3.2028381282941799062030951604741e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.786
Order of pole = 3.578
x[1] = -1.456
y[1] (analytic) = 0.32051939526964655685244825534883
y[1] (numeric) = 0.32051939526964645372039368465256
absolute error = 1.0313205457069626817789492415581e-16
relative error = 3.2176540980907983215386877809097e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=8.24
Complex estimate of poles used
Radius of convergence = 1.785
Order of pole = 3.577
x[1] = -1.455
y[1] (analytic) = 0.32081872939742222150929171245017
y[1] (numeric) = 0.32081872939742211780402821781774
absolute error = 1.0370526349463243718797071285961e-16
relative error = 3.2325189894435667252583441125121e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.784
Order of pole = 3.577
x[1] = -1.454
y[1] (analytic) = 0.32111841691189409771504979262173
y[1] (numeric) = 0.32111841691189399343399891209145
absolute error = 1.0428105088053027582826361350273e-16
relative error = 3.2474328904387342044120897102666e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 3.576
x[1] = -1.453
y[1] (analytic) = 0.32141845822636794892274996633142
y[1] (numeric) = 0.32141845822636784406332429238046
absolute error = 1.0485942567395095173752125568789e-16
relative error = 3.2623958889162726660434176838747e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.782
Order of pole = 3.576
x[1] = -1.452
y[1] (analytic) = 0.32171885375433033577153328631948
y[1] (numeric) = 0.32171885375433023033113645042859
absolute error = 1.0544039683589089916256558453910e-16
relative error = 3.2774080724658702543059925668524e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.781
Order of pole = 3.575
x[1] = -1.451
y[1] (analytic) = 0.32201960390944679930224792224901
y[1] (numeric) = 0.32201960390944669327827457958261
absolute error = 1.0602397334266639865067457278996e-16
relative error = 3.2924695284228957703620346901650e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 3.575
x[1] = -1.45
y[1] (analytic) = 0.322320709105560032232070910556
y[1] (numeric) = 0.32232070910555992562190672475958
absolute error = 1.0661016418579642055254746853771e-16
relative error = 3.3075803438643339476427852113823e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 3.574
x[1] = -1.449
y[1] (analytic) = 0.32262216975668803823459858220461
y[1] (numeric) = 0.3226221697566879310356202103209
absolute error = 1.0719897837188371776485500891829e-16
relative error = 3.3227406056046914346766235049813e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.779
Order of pole = 3.574
x[1] = -1.448
y[1] (analytic) = 0.32292398627702227917166122432108
y[1] (numeric) = 0.32292398627702217138123630182693
absolute error = 1.0779042492249415305171574087567e-16
relative error = 3.3379504001918733373186034163265e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.778
Order of pole = 3.573
x[1] = -1.447
y[1] (analytic) = 0.32322615908092581022293231417971
y[1] (numeric) = 0.32322615908092570183841944014546
absolute error = 1.0838451287403424619446302044661e-16
relative error = 3.3532098139030301718464544282491e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.777
Order of pole = 3.573
x[1] = -1.446
y[1] (analytic) = 0.32352868858293140285921713822051
y[1] (numeric) = 0.32352868858293129387796586059359
absolute error = 1.0898125127762692612877607287706e-16
relative error = 3.3685189327403750800225202407288e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.776
Order of pole = 3.572
x[1] = -1.445
y[1] (analytic) = 0.32383157519773965560511977720388
y[1] (numeric) = 0.3238315751977395460244705782184
absolute error = 1.0958064919898547313764439827798e-16
relative error = 3.3838778424269711568587434299235e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.775
Order of pole = 3.572
x[1] = -1.444
y[1] (analytic) = 0.3241348193402170925366013037999
y[1] (numeric) = 0.32413481934021698235388558551426
absolute error = 1.1018271571828563607771956243727e-16
relative error = 3.3992866284024887414627141997947e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 3.571
x[1] = -1.443
y[1] (analytic) = 0.32443842142539424945875560345709
y[1] (numeric) = 0.32443842142539413867129567342118
absolute error = 1.1078745993003590952538383167228e-16
relative error = 3.4147453758189325209870478978804e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 3.571
x[1] = -1.442
y[1] (analytic) = 0.32474238186846374770894249591799
y[1] (numeric) = 0.32474238186846363631405155297203
absolute error = 1.1139489094294595563733305754951e-16
relative error = 3.4302541695363382973520047342789e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.773
Order of pole = 3.571
x[1] = -1.441
y[1] (analytic) = 0.32504670108477835553023080591104
y[1] (numeric) = 0.32504670108477824352521292611788
absolute error = 1.1200501787979315542863360736550e-16
relative error = 3.4458130941184392660623814902142e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.772
Order of pole = 3.57
x[1] = -1.44
y[1] (analytic) = 0.32535137948984903695991671004685
y[1] (numeric) = 0.32535137948984892434206683275958
absolute error = 1.1261784987728727407907193772477e-16
relative error = 3.4614222338283016560943550779084e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.771
Order of pole = 3.57
x[1] = -1.439
y[1] (analytic) = 0.32565641749934298817769507552135
y[1] (numeric) = 0.32565641749934287494429898958813
absolute error = 1.1323339608593322478617264309092e-16
relative error = 3.4770816726239295794862084476481e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.77
Order of pole = 3.569
x[1] = -1.438
y[1] (analytic) = 0.3259618155290816612578736076541
y[1] (numeric) = 0.32596181552908154740620793776219
absolute error = 1.1385166566989191559051855469789e-16
relative error = 3.4927914941538389389287880491859e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.4MB, time=8.51
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 3.569
x[1] = -1.437
y[1] (analytic) = 0.32626757399503877526983144038325
y[1] (numeric) = 0.32626757399503866079716363354408
absolute error = 1.1447266780683916350596684839715e-16
relative error = 3.5085517817526002413171970536498e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 3.568
x[1] = -1.436
y[1] (analytic) = 0.32657369331333831467073533945376
y[1] (numeric) = 0.3265736933133381995743236516311
absolute error = 1.1509641168782266019402032911708e-16
relative error = 3.5243626184363501648946887370809e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 3.568
x[1] = -1.435
y[1] (analytic) = 0.32688017390025251493433794506779
y[1] (numeric) = 0.32688017390025239921143142795081
absolute error = 1.1572290651711697332798533707411e-16
relative error = 3.5402240868982717272930594281055e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.767
Order of pole = 3.567
x[1] = -1.434
y[1] (analytic) = 0.32718701617219983535949346214904
y[1] (numeric) = 0.32718701617219971900733195007248
absolute error = 1.1635216151207656769862936608199e-16
relative error = 3.5561362695040429014511205480087e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.766
Order of pole = 3.567
x[1] = -1.433
y[1] (analytic) = 0.32749422054574291900183691508304
y[1] (numeric) = 0.32749422054574280201765101209621
absolute error = 1.1698418590298683001884485426314e-16
relative error = 3.5720992482872535260741255519910e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.765
Order of pole = 3.566
x[1] = -1.432
y[1] (analytic) = 0.32780178743758653967188352284647
y[1] (numeric) = 0.32780178743758642205289458993339
absolute error = 1.1761898893291308129033311753616e-16
relative error = 3.5881131049447903569824117635063e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.764
Order of pole = 3.566
x[1] = -1.431
y[1] (analytic) = 0.32810971726457553594261492288929
y[1] (numeric) = 0.32810971726457541768603506534173
absolute error = 1.1825657985754756050054652086145e-16
relative error = 3.6041779208321901053870616496723e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.763
Order of pole = 3.566
x[1] = -1.43
y[1] (analytic) = 0.32841801044369273210942888107984
y[1] (numeric) = 0.32841801044369261321246093602548
absolute error = 1.1889696794505436332307025560070e-16
relative error = 3.6202937769589603088241662127856e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 3.565
x[1] = -1.429
y[1] (analytic) = 0.32872666739205684604513877360627
y[1] (numeric) = 0.32872666739205672650497629769395
absolute error = 1.1954016247591231939929010824083e-16
relative error = 3.6364607539838678801773588016304e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 3.565
x[1] = -1.428
y[1] (analytic) = 0.32903568852692038389251851812855
y[1] (numeric) = 0.32903568852692026370634577537276
absolute error = 1.2018617274275579168358202217990e-16
relative error = 3.6526789322101951799207554449679e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.761
Order of pole = 3.564
x[1] = -1.427
y[1] (analytic) = 0.32934507426566752153669776891766
y[1] (numeric) = 0.32934507426566740070168971870428
absolute error = 1.2083500805021338123837578831840e-16
relative error = 3.6689483915809634564213631896903e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.76
Order of pole = 3.564
x[1] = -1.426
y[1] (analytic) = 0.3296548250258119727995210774702
y[1] (numeric) = 0.32965482502581185131284336272568
absolute error = 1.2148667771474452076929163266722e-16
relative error = 3.6852692116741234988514770469684e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.759
Order of pole = 3.564
x[1] = -1.425
y[1] (analytic) = 0.32996494122499484429779335945556
y[1] (numeric) = 0.32996494122499472215660229498162
absolute error = 1.2214119106447394009412764442554e-16
relative error = 3.7016414716977133469776559238717e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.758
Order of pole = 3.563
x[1] = -1.424
y[1] (analytic) = 0.33027542328098247690714240419371
y[1] (numeric) = 0.33027542328098235410858496516972
absolute error = 1.2279855743902398664279081465249e-16
relative error = 3.7180652504849829018136260162525e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 3.563
x[1] = -1.423
y[1] (analytic) = 0.3305862716116642737730373175701
y[1] (numeric) = 0.33058627161166415031425112822531
absolute error = 1.2345878618934478398831790747918e-16
relative error = 3.7345406264894852808499849955307e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 3.562
x[1] = -1.422
y[1] (analytic) = 0.33089748663505051481030970681159
y[1] (numeric) = 0.33089748663505039068842302926938
absolute error = 1.2412188667754221131192750236121e-16
relative error = 3.7510676777801347613039511404576e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.756
Order of pole = 3.562
x[1] = -1.421
y[1] (analytic) = 0.33120906876927015763233209935875
y[1] (numeric) = 0.33120906876927003284446382265506
absolute error = 1.2478786827670368660758443336911e-16
relative error = 3.7676464820362311545676983218978e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.755
Order of pole = 3.562
memory used=125.8MB, alloc=4.4MB, time=8.77
x[1] = -1.42
y[1] (analytic) = 0.33152101843256862485081554170534
y[1] (numeric) = 0.33152101843256849939407517098361
absolute error = 1.2545674037072173633384568360269e-16
relative error = 3.7842771165424504547741212001917e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 3.561
x[1] = -1.419
y[1] (analytic) = 0.33183333604330557768699555111046
y[1] (numeric) = 0.33183333604330545155848319699513
absolute error = 1.2612851235411533412279581137009e-16
relative error = 3.8009596581838016041442666810826e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.753
Order of pole = 3.561
x[1] = -1.418
y[1] (analytic) = 0.33214602201995267583478259714275
y[1] (numeric) = 0.33214602201995254903158896529376
absolute error = 1.2680319363184899105767350070645e-16
relative error = 3.8176941834405492175312299274092e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.752
Order of pole = 3.561
x[1] = -1.417
y[1] (analytic) = 0.33245907678109132351626007475675
y[1] (numeric) = 0.33245907678109119603546645560717
absolute error = 1.2748079361914957993234222288370e-16
relative error = 3.8344807683831021083311291644742e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 3.56
x[1] = -1.416
y[1] (analytic) = 0.33277250074541040166971929974017
y[1] (numeric) = 0.3327725007454102735083975584193
absolute error = 1.2816132174132087580707071921243e-16
relative error = 3.8513194886668674576929270719363e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 3.56
x[1] = -1.415
y[1] (analytic) = 0.33308629433170398621022741466745
y[1] (numeric) = 0.33308629433170385736543998111166
absolute error = 1.2884478743355579507616659158852e-16
relative error = 3.8682104195270704687254424543185e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.75
Order of pole = 3.56
x[1] = -1.414
y[1] (analytic) = 0.33340045795886905230253024275554
y[1] (numeric) = 0.33340045795886892277133010200923
absolute error = 1.2953120014074631516385231114653e-16
relative error = 3.8851536357735393471719796664365e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 3.559
x[1] = -1.413
y[1] (analytic) = 0.33371499204590316458589807209512
y[1] (numeric) = 0.33371499204590303436532875480406
absolute error = 1.3022056931729105686539109547639e-16
relative error = 3.9021492117854554498006812958058e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.748
Order of pole = 3.559
x[1] = -1.412
y[1] (analytic) = 0.33402989701190215329032809752604
y[1] (numeric) = 0.33402989701190202237742367062553
absolute error = 1.3091290442690051125086410358146e-16
relative error = 3.9191972215060684415420690491238e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.747
Order of pole = 3.559
x[1] = -1.411
y[1] (analytic) = 0.33434517327605777618332279588796
y[1] (numeric) = 0.33434517327605764457510785348806
absolute error = 1.3160821494239989294917407241836e-16
relative error = 3.9362977384373763021943666585160e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 3.558
x[1] = -1.41
y[1] (analytic) = 0.3346608212576553662862688665038
y[1] (numeric) = 0.3346608212576552339797585209742
absolute error = 1.3230651034552960152980776250601e-16
relative error = 3.9534508356347700233121857514420e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 3.558
x[1] = -1.409
y[1] (analytic) = 0.33497684137607146529924653659069
y[1] (numeric) = 0.33497684137607133229144640984742
absolute error = 1.3300780012674327259963436236713e-16
relative error = 3.9706565857016428356950906892170e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.745
Order of pole = 3.558
x[1] = -1.408
y[1] (analytic) = 0.3352932340507714426729040149353
y[1] (numeric) = 0.3352932340507713089608102299319
absolute error = 1.3371209378500340013155336958674e-16
relative error = 3.9879150607839638076995318887114e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.744
Order of pole = 3.557
x[1] = -1.407
y[1] (analytic) = 0.33560999970130710026583668076341
y[1] (numeric) = 0.33560999970130696584643585318889
absolute error = 1.3441940082757451144113754551213e-16
relative error = 4.0052263325648156544107404634768e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.743
Order of pole = 3.557
x[1] = -1.406
y[1] (analytic) = 0.33592713874731426252571522247111
y[1] (numeric) = 0.33592713874731412739598445265723
absolute error = 1.3512973076981387612654853579539e-16
relative error = 4.0225904722588965975305023710302e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.742
Order of pole = 3.557
x[1] = -1.405
y[1] (analytic) = 0.33624465160851035213221139701247
y[1] (numeric) = 0.33624465160851021628911826205274
absolute error = 1.3584309313495973018593894494966e-16
relative error = 4.0400075506069861156623707075392e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.741
Order of pole = 3.557
x[1] = -1.404
y[1] (analytic) = 0.33656253870469195103957436955105
y[1] (numeric) = 0.33656253870469181448007691563406
absolute error = 1.3655949745391699642529941575589e-16
relative error = 4.0574776378703744245079242888457e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 3.556
x[1] = -1.403
y[1] (analytic) = 0.33688080045573234685651471882749
y[1] (numeric) = 0.33688080045573220957756145378701
absolute error = 1.3727895326504048216826704157182e-16
relative error = 4.0750008038252555263262340060517e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.5MB, time=9.04
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 3.556
x[1] = -1.402
y[1] (analytic) = 0.33719943728157906450085716096957
y[1] (numeric) = 0.33719943728157892649938704705403
absolute error = 1.3800147011391553517778676208435e-16
relative error = 4.0925771177570836678538513278439e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.739
Order of pole = 3.556
x[1] = -1.401
y[1] (analytic) = 0.3375184496022513830662268576256
y[1] (numeric) = 0.33751844960225124433916930448947
absolute error = 1.3872705755313613859771487533032e-16
relative error = 4.1102066484548930457344823034354e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.738
Order of pole = 3.556
x[1] = -1.4
y[1] (analytic) = 0.33783783783783783783783783783784
y[1] (numeric) = 0.33783783783783769838211269575741
absolute error = 1.3945572514208042562047814013456e-16
relative error = 4.1278894642055805983661529479829e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.737
Order of pole = 3.555
x[1] = -1.399
y[1] (analytic) = 0.33815760240849370739425558154485
y[1] (numeric) = 0.33815760240849356720677313486125
absolute error = 1.4018748244668359448475792838930e-16
relative error = 4.1456256327881517229392063059077e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.736
Order of pole = 3.555
x[1] = -1.398
y[1] (analytic) = 0.33847774373443848573180919061848
y[1] (numeric) = 0.33847774373443834480947015141028
absolute error = 1.4092233903920820430486138734739e-16
relative error = 4.1634152214679287563109970222467e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 3.555
x[1] = -1.397
y[1] (analytic) = 0.33879826223595333934813181556229
y[1] (numeric) = 0.33879826223595319768782731755046
absolute error = 1.4166030449801183213097554740861e-16
relative error = 4.1812582969907220582427660451119e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 3.555
x[1] = -1.396
y[1] (analytic) = 0.3391191583333785492211111171399
y[1] (numeric) = 0.33911915833337840681972270982782
absolute error = 1.4240138840731207153688080835453e-16
relative error = 4.1991549255769635354109871776878e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.734
Order of pole = 3.554
x[1] = -1.395
y[1] (analytic) = 0.33944043244711093761933452703219
y[1] (numeric) = 0.33944043244711079447373417008333
absolute error = 1.4314560035694885292893239373365e-16
relative error = 4.2171051729158024444995805524918e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.733
Order of pole = 3.554
x[1] = -1.394
y[1] (analytic) = 0.33976208499760127967991693496546
y[1] (numeric) = 0.33976208499760113578696699282139
absolute error = 1.4389294994214406566720740668520e-16
relative error = 4.2351091041591633125808885882252e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.732
Order of pole = 3.554
x[1] = -1.393
y[1] (analytic) = 0.34008411640535169968940117648699
y[1] (numeric) = 0.34008411640535155504595441322853
absolute error = 1.4464344676325846198666636993354e-16
relative error = 4.2531667839157658129023114080470e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.731
Order of pole = 3.554
x[1] = -1.392
y[1] (analytic) = 0.34040652709091305200322433062461
y[1] (numeric) = 0.34040652709091290660612390507878
absolute error = 1.4539710042554582260299699944286e-16
relative error = 4.2712782762451064341121057737131e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 3.554
x[1] = -1.391
y[1] (analytic) = 0.34072931747488228653904536504206
y[1] (numeric) = 0.34072931747488214038512482613769
absolute error = 1.4615392053890436378449995018584e-16
relative error = 4.2894436446514017808821699830138e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 3.554
x[1] = -1.39
y[1] (analytic) = 0.34105248797789979877903209303912
y[1] (numeric) = 0.34105248797789965186511537541375
absolute error = 1.4691391671762536556794698298146e-16
relative error = 4.3076629520774933438177734879995e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.729
Order of pole = 3.553
x[1] = -1.389
y[1] (analytic) = 0.34137603902064676421600773694655
y[1] (numeric) = 0.34137603902064661653890915680755
absolute error = 1.4767709858013900069279712818009e-16
relative error = 4.3259362608987135764842517631764e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.728
Order of pole = 3.553
x[1] = -1.388
y[1] (analytic) = 0.34169997102384245717815963129206
y[1] (numeric) = 0.34169997102384230873468388253472
absolute error = 1.4844347574875734372450175637165e-16
relative error = 4.3442636329167131173287826809890e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.727
Order of pole = 3.553
x[1] = -1.387
y[1] (analytic) = 0.34202428440824155396681475178101
y[1] (numeric) = 0.34202428440824140475375690236647
absolute error = 1.4921305784941453973387089701572e-16
relative error = 4.3626451293532489942315997869675e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.726
Order of pole = 3.553
x[1] = -1.386
y[1] (analytic) = 0.34234897959463142024158882792034
y[1] (numeric) = 0.34234897959463127025573431651623
absolute error = 1.4998585451140411179561666022258e-16
relative error = 4.3810808108439336493854908204351e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 3.553
x[1] = -1.385
y[1] (analytic) = 0.34267405700382938258701779335041
y[1] (numeric) = 0.34267405700382923182514242623702
absolute error = 1.5076187536711338646524130170407e-16
relative error = 4.3995707374319446221752879766537e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.5MB, time=9.31
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 3.553
x[1] = -1.384
y[1] (analytic) = 0.34299951705667998419458225402819
y[1] (numeric) = 0.34299951705667983265345220227317
absolute error = 1.5154113005175501628940351363814e-16
relative error = 4.4181149685616947277103921025741e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.724
Order of pole = 3.553
x[1] = -1.383
y[1] (analytic) = 0.34332536017405222459383751578009
y[1] (numeric) = 0.34332536017405207227020931268451
absolute error = 1.5232362820309557830078321400076e-16
relative error = 4.4367135630724625686532995880465e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.723
Order of pole = 3.553
x[1] = -1.382
y[1] (analytic) = 0.34365158677683678336616351492341
y[1] (numeric) = 0.34365158677683663025678405374219
absolute error = 1.5310937946118122734427883570676e-16
relative error = 4.4553665791919832179857324671514e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.722
Order of pole = 3.553
x[1] = -1.381
y[1] (analytic) = 0.34397819728594322777445074421403
y[1] (numeric) = 0.34397819728594307387605727615365
absolute error = 1.5389839346806038297711838036975e-16
relative error = 4.4740740745299989103614244779410e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 3.553
x[1] = -1.38
y[1] (analytic) = 0.3443051921222972042418399669467
y[1] (numeric) = 0.34430519212229704955116009944327
absolute error = 1.5469067986750342858115290023505e-16
relative error = 4.4928361060717695797110048344267e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 3.553
x[1] = -1.379
y[1] (analytic) = 0.34463257170683761361243517030535
y[1] (numeric) = 0.34463257170683745812618686558595
absolute error = 1.5548624830471940122123531242931e-16
relative error = 4.5116527301715430807898645319269e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 3.552
x[1] = -1.378
y[1] (analytic) = 0.34496033646051377012671083078868
y[1] (numeric) = 0.34496033646051361384160240471903
absolute error = 1.5628510842606965067917534574701e-16
relative error = 4.5305240025459849323945054298049e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.719
Order of pole = 3.552
x[1] = -1.377
y[1] (analytic) = 0.34528848680428254404413615553727
y[1] (numeric) = 0.34528848680428238695686627675882
absolute error = 1.5708726987877844598830989356956e-16
relative error = 4.5494499782675674200167794375371e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.718
Order of pole = 3.552
x[1] = -1.376
y[1] (analytic) = 0.34561702315910548784534052954058
y[1] (numeric) = 0.34561702315910532995259821890007
absolute error = 1.5789274231064050768924412827971e-16
relative error = 4.5684307117579178957587441890543e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.717
Order of pole = 3.552
x[1] = -1.375
y[1] (analytic) = 0.34594594594594594594594594594595
y[1] (numeric) = 0.3459459459459457872444105762205
absolute error = 1.5870153536972544392280956418180e-16
relative error = 4.5874662567811261133937139646300e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 3.552
x[1] = -1.374
y[1] (analytic) = 0.34627525558576614785399373103277
y[1] (numeric) = 0.3462752555857659883403350269537
absolute error = 1.5951365870407906837175809047439e-16
relative error = 4.6065566664370104365315926728682e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 3.552
x[1] = -1.373
y[1] (analytic) = 0.34660495249952428470269440291925
y[1] (numeric) = 0.34660495249952412437357244149767
absolute error = 1.6032912196142157795817319890799e-16
relative error = 4.6257019931543427579288628319220e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.715
Order of pole = 3.552
x[1] = -1.372
y[1] (analytic) = 0.34693503710817156909003102986972
y[1] (numeric) = 0.34693503710817140794209624102715
absolute error = 1.6114793478884256809903868184547e-16
relative error = 4.6449022886840319680757951193248e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.714
Order of pole = 3.552
x[1] = -1.371
y[1] (analytic) = 0.34726550983264927815654798636358
y[1] (numeric) = 0.34726550983264911618644115387071
absolute error = 1.6197010683249286321786856991467e-16
relative error = 4.6641576040922658112956626653766e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.713
Order of pole = 3.552
x[1] = -1.37
y[1] (analytic) = 0.34759637109388577983245854913275
y[1] (numeric) = 0.34759637109388561703681081185961
absolute error = 1.6279564773727314010577772477725e-16
relative error = 4.6834679897536109677031193641166e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 3.553
x[1] = -1.369
y[1] (analytic) = 0.34792762131279354218500633750162
y[1] (numeric) = 0.3479276213127933785604391909823
absolute error = 1.6362456714651932162086812946582e-16
relative error = 4.7028334953440711994915596385361e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 3.553
x[1] = -1.368
y[1] (analytic) = 0.34825926091026612579681718896269
y[1] (numeric) = 0.34825926091026596133994248727797
absolute error = 1.6445687470168471811032947241114e-16
relative error = 4.7222541698341034001523469498869e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.711
Order of pole = 3.553
x[1] = -1.367
y[1] (analytic) = 0.34859129030717515910577967845242
y[1] (numeric) = 0.34859129030717499381319963643353
absolute error = 1.6529258004201889383521216744066e-16
relative error = 4.7417300614815913853724095740318e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.5MB, time=9.58
Complex estimate of poles used
Radius of convergence = 1.71
Order of pole = 3.553
x[1] = -1.366
y[1] (analytic) = 0.34892370992436729663679414478101
y[1] (numeric) = 0.34892370992436713050510134053777
absolute error = 1.6613169280424323557343467720773e-16
relative error = 4.7612612178247772645109855375155e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.709
Order of pole = 3.553
x[1] = -1.365
y[1] (analytic) = 0.34925652018266116005553178670904
y[1] (numeric) = 0.34925652018266099308130916448584
absolute error = 1.6697422262222320047224322020826e-16
relative error = 4.7808476856751502317213859418080e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 3.553
x[1] = -1.364
y[1] (analytic) = 0.34958972150284426197414714091542
y[1] (numeric) = 0.3495897215028440941539680142782
absolute error = 1.6782017912663722011705907343284e-16
relative error = 4.8004895111102926159596701131835e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 3.553
x[1] = -1.363
y[1] (analytic) = 0.34992331430566991243868906129222
y[1] (numeric) = 0.34992331430566974376911711664998
absolute error = 1.6866957194464223767943528983911e-16
relative error = 4.8201867394666830293092210880823e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 3.553
x[1] = -1.362
y[1] (analytic) = 0.35025729901185410802775719043209
y[1] (numeric) = 0.35025729901185393850534649089624
absolute error = 1.6952241069953585490270941385751e-16
relative error = 4.8399394153324564532485109577741e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.706
Order of pole = 3.553
x[1] = -1.361
y[1] (analytic) = 0.35059167604207240349175285670862
y[1] (numeric) = 0.35059167604207223311304784629356
absolute error = 1.7037870501041506557989050752204e-16
relative error = 4.8597475825401211026989887230577e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.705
Order of pole = 3.553
x[1] = -1.36
y[1] (analytic) = 0.35092644581695676586187535092645
y[1] (numeric) = 0.35092644581695659462341085909489
absolute error = 1.7123846449183155207436643105060e-16
relative error = 4.8796112841592319079111458192179e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.704
Order of pole = 3.553
x[1] = -1.359
y[1] (analytic) = 0.35126160875709241095781664214275
y[1] (numeric) = 0.35126160875709223885611788869923
absolute error = 1.7210169875344352133016992057000e-16
relative error = 4.8995305624890204544795547364225e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 3.554
x[1] = -1.358
y[1] (analytic) = 0.35159716528301462222290979001211
y[1] (numeric) = 0.35159716528301444925449239034805
absolute error = 1.7296841739966405671480876849624e-16
relative error = 4.9195054590509812220221736624133e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 3.554
x[1] = -1.357
y[1] (analytic) = 0.35193311581520555181528860803062
y[1] (numeric) = 0.35193311581520537797665857872466
absolute error = 1.7383863002930596193405566692559e-16
relative error = 4.9395360145814139623156054073006e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.702
Order of pole = 3.554
x[1] = -1.356
y[1] (analytic) = 0.35226946077409100388341853557358
y[1] (numeric) = 0.35226946077409082917107230035051
absolute error = 1.7471234623522307315461648238442e-16
relative error = 4.9596222690239220579464337473802e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.701
Order of pole = 3.554
x[1] = -1.355
y[1] (analytic) = 0.3526062005800371999541611939246
y[1] (numeric) = 0.35260620058003702436458558997658
absolute error = 1.7558957560394801536726148684463e-16
relative error = 4.9797642615218667028193775822853e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.7
Order of pole = 3.554
x[1] = -1.354
y[1] (analytic) = 0.35294333565334752636133773994853
y[1] (numeric) = 0.35294333565334734989101002462215
absolute error = 1.7647032771532637891982210603332e-16
relative error = 4.9999620304107767461559469017789e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 3.554
x[1] = -1.353
y[1] (analytic) = 0.35328086641425926364255889810285
y[1] (numeric) = 0.35328086641425908628794675595555
absolute error = 1.7735461214214729204643592959890e-16
relative error = 5.0202156132107140419226996024601e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 3.555
x[1] = -1.352
y[1] (analytic) = 0.35361879328294029783189245462364
y[1] (numeric) = 0.35361879328294011958945400485327
absolute error = 1.7824243844977036511657506463827e-16
relative error = 5.0405250466185941459462309159083e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 3.555
x[1] = -1.351
y[1] (analytic) = 0.35395711667948581357574204454833
y[1] (numeric) = 0.35395711667948563444192584879935
absolute error = 1.7913381619574898222472754987694e-16
relative error = 5.0608903665004622033028249863987e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.697
Order of pole = 3.555
x[1] = -1.35
y[1] (analytic) = 0.35429583702391496899911426040744
y[1] (numeric) = 0.35429583702391478897035933095752
absolute error = 1.8002875492944991563912876860615e-16
relative error = 5.0813116078837238689144094939087e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.696
Order of pole = 3.555
x[1] = -1.349
y[1] (analytic) = 0.35463495473616755224925446866641
y[1] (numeric) = 0.35463495473616737132199027699717
absolute error = 1.8092726419166923852567003255340e-16
relative error = 5.1017888049493311046392288346410e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.5MB, time=9.84
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 3.556
x[1] = -1.348
y[1] (analytic) = 0.35497447023610061964343524413724
y[1] (numeric) = 0.35497447023610043781408172989273
absolute error = 1.8182935351424451126105532780158e-16
relative error = 5.1223219910239226965156400817115e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 3.556
x[1] = -1.347
y[1] (analytic) = 0.35531438394348511534748503149329
y[1] (numeric) = 0.35531438394348493261245261183007
absolute error = 1.8273503241966321654744533398324e-16
relative error = 5.1429111985719193362007907497043e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 3.556
x[1] = -1.346
y[1] (analytic) = 0.35565469627800247251144852467319
y[1] (numeric) = 0.35565469627800228886713810400577
absolute error = 1.8364431042066741843923111159172e-16
relative error = 5.1635564591875731110428114416022e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.693
Order of pole = 3.556
x[1] = -1.345
y[1] (analytic) = 0.35599540765924119578857432739118
y[1] (numeric) = 0.35599540765924101123137730753656
absolute error = 1.8455719701985462029122930907654e-16
relative error = 5.1842578035869712476357040992873e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.692
Order of pole = 3.557
x[1] = -1.344
y[1] (analytic) = 0.35633651850669342516362972929827
y[1] (numeric) = 0.35633651850669323968992802002348
absolute error = 1.8547370170927479653649752984196e-16
relative error = 5.2050152615999939541304833190657e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 3.557
x[1] = -1.343
y[1] (analytic) = 0.35667802923975148101634691075809
y[1] (numeric) = 0.35667802923975129462251294073451
absolute error = 1.8639383397002357310114392783611e-16
relative error = 5.2258288621622262070144907213379e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 3.557
x[1] = -1.342
y[1] (analytic) = 0.35701994027770439034560958298643
y[1] (numeric) = 0.3570199402777042030280063111549
absolute error = 1.8731760327183153116296062902065e-16
relative error = 5.2466986333068233285233085530418e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.69
Order of pole = 3.557
x[1] = -1.341
y[1] (analytic) = 0.35736225203973439407979398780894
y[1] (numeric) = 0.35736225203973420583477491515934
absolute error = 1.8824501907264960886045781736460e-16
relative error = 5.2676246021563302013165076163284e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.689
Order of pole = 3.558
x[1] = -1.34
y[1] (analytic) = 0.35770496494491343539848333094863
y[1] (numeric) = 0.35770496494491324622239251271806
absolute error = 1.8917609081823057545892604500157e-16
relative error = 5.2886067949144539675297365140639e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 3.558
x[1] = -1.339
y[1] (analytic) = 0.35804807941219962899058011307874
y[1] (numeric) = 0.35804807941219943887975217137219
absolute error = 1.9011082794170655238052044927031e-16
relative error = 5.3096452368577900598115555369647e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 3.558
x[1] = -1.338
y[1] (analytic) = 0.35839159586043371117364646245991
y[1] (numeric) = 0.35839159586043352012440659929736
absolute error = 1.9104923986316255540605416391534e-16
relative error = 5.3307399523275014124641019453979e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 3.559
x[1] = -1.337
y[1] (analytic) = 0.35873551470833547079910847049885
y[1] (numeric) = 0.35873551470833527880777248129281
absolute error = 1.9199133598920603225722153548303e-16
relative error = 5.3518909647209507013323077844489e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 3.559
x[1] = -1.336
y[1] (analytic) = 0.35907983637450016086776669577607
y[1] (numeric) = 0.3590798363744999679306409832437
absolute error = 1.9293712571253236966935719638089e-16
relative error = 5.3730982964832854616271417877237e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.685
Order of pole = 3.559
x[1] = -1.335
y[1] (analytic) = 0.35942456127739489077986144183163
y[1] (numeric) = 0.35942456127739469689324303034528
absolute error = 1.9388661841148634396658716179489e-16
relative error = 5.3943619690989759334243796622478e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 3.56
x[1] = -1.334
y[1] (analytic) = 0.35976968983535499914374813819186
y[1] (numeric) = 0.35976968983535480430392468857237
absolute error = 1.9483982344961948905335562986983e-16
relative error = 5.4156820030833054851518896113846e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 3.56
x[1] = -1.333
y[1] (analytic) = 0.36011522246658040706704517177316
y[1] (numeric) = 0.3601152224665802112702949965298
absolute error = 1.9579675017524335563882895843132e-16
relative error = 5.4370584179738134659655210754939e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.683
Order of pole = 3.561
x[1] = -1.332
y[1] (analytic) = 0.36046115958913195185392383599882
y[1] (numeric) = 0.36046115958913175509651591502019
absolute error = 1.9675740792097863541359941766238e-16
relative error = 5.4584912323216903385165743086501e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.682
Order of pole = 3.561
x[1] = -1.331
y[1] (analytic) = 0.36080750162092770103201769688634
y[1] (numeric) = 0.36080750162092750331021169358622
absolute error = 1.9772180600330012380144899399853e-16
relative error = 5.4799804636831249442326777525556e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.5MB, time=10.11
Complex estimate of poles used
Radius of convergence = 1.681
Order of pole = 3.561
x[1] = -1.33
y[1] (analytic) = 0.36115424897973924663223662826393
y[1] (numeric) = 0.36115424897973904794228290618644
absolute error = 1.9868995372207749481270113182439e-16
relative error = 5.5015261286106037538688816390856e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 3.562
x[1] = -1.329
y[1] (analytic) = 0.36150140208318797964457905149985
y[1] (numeric) = 0.36150140208318777998271869138799
absolute error = 1.9966186036011186142989940184256e-16
relative error = 5.5231282426441619567370635125235e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 3.562
x[1] = -1.328
y[1] (analytic) = 0.36184896134874134457284453810704
y[1] (numeric) = 0.36184896134874114393530935543894
absolute error = 2.0063753518266809486122040494379e-16
relative error = 5.5447868203025862426895093157617e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 3.563
x[1] = -1.327
y[1] (analytic) = 0.36219692719370907401095790583532
y[1] (numeric) = 0.36219692719370887239397046883244
absolute error = 2.0161698743700287590216765740403e-16
relative error = 5.5665018750745691316169584818885e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.678
Order of pole = 3.563
x[1] = -1.326
y[1] (analytic) = 0.36254530003523940316342526998748
y[1] (numeric) = 0.36254530003523920056319891809903
absolute error = 2.0260022635188845155171783076691e-16
relative error = 5.5882734194098147059226605137644e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.677
Order of pole = 3.564
x[1] = -1.325
y[1] (analytic) = 0.3628940802903152642322522113858
y[1] (numeric) = 0.36289408029031506064499107425373
absolute error = 2.0358726113713206993521478694724e-16
relative error = 5.6101014647100956021522624728149e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 3.564
x[1] = -1.324
y[1] (analytic) = 0.36324326837575046059246430045158
y[1] (numeric) = 0.36324326837575025601436331736052
absolute error = 2.0457810098309106649294478210429e-16
relative error = 5.6319860213202611186948115445834e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 3.564
x[1] = -1.323
y[1] (analytic) = 0.363592864708185820678180683111
y[1] (numeric) = 0.36359286470818561510542562292743
absolute error = 2.0557275506018357430049261645101e-16
relative error = 5.6539270985191962972229955731109e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.675
Order of pole = 3.565
x[1] = -1.322
y[1] (analytic) = 0.36394286970408533150100229866317
y[1] (numeric) = 0.36394286970408512492976978026833
absolute error = 2.0657123251839483129468816621982e-16
relative error = 5.6759247045107318363111395931153e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.674
Order of pole = 3.565
x[1] = -1.321
y[1] (analytic) = 0.36429328377973225172228757238963
y[1] (numeric) = 0.36429328377973204414874508561057
absolute error = 2.0757354248677905708722061489554e-16
relative error = 5.6979788464145046964576116393348e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 3.566
x[1] = -1.32
y[1] (analytic) = 0.36464410735122520420070011668611
y[1] (numeric) = 0.36464410735122499562100604372924
absolute error = 2.0857969407295687195683895301885e-16
relative error = 5.7200895302567692565443514475891e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 3.566
x[1] = -1.319
y[1] (analytic) = 0.36499534083447424793622509408667
y[1] (numeric) = 0.36499534083447403834652873147844
absolute error = 2.0958969636260823052048727340468e-16
relative error = 5.7422567609611588825904073267047e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 3.567
x[1] = -1.318
y[1] (analytic) = 0.36534698464519692933166345404885
y[1] (numeric) = 0.36534698464519671872810503508801
absolute error = 2.1060355841896084249375757165191e-16
relative error = 5.7644805423393977704988369955017e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.671
Order of pole = 3.567
x[1] = -1.317
y[1] (analytic) = 0.36569903919891431269242626318848
y[1] (numeric) = 0.36569903919891410107113698091443
absolute error = 2.1162128928227405286169687809956e-16
relative error = 5.7867608770819629253572863449760e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.67
Order of pole = 3.568
x[1] = -1.316
y[1] (analytic) = 0.36605150491094698988526481630071
y[1] (numeric) = 0.36605150491094677724236684698256
absolute error = 2.1264289796931815369229549381143e-16
relative error = 5.8090977667486961407321959854172e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 3.568
x[1] = -1.315
y[1] (analytic) = 0.3664043821964110690763861535784
y[1] (numeric) = 0.3664043821964108554079926807293
absolute error = 2.1366839347284909973692496732266e-16
relative error = 5.8314912117593658422950904394119e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 3.569
x[1] = -1.314
y[1] (analytic) = 0.3667576714702141424692180286335
y[1] (numeric) = 0.36675767147021392777143326755491
absolute error = 2.1469778476107859987460451054558e-16
relative error = 5.8539412113841786610369716003553e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 3.569
memory used=148.7MB, alloc=4.5MB, time=10.38
x[1] = -1.313
y[1] (analytic) = 0.36711137314705123296190228302892
y[1] (numeric) = 0.36711137314705101723082150588936
absolute error = 2.1573108077713955637026928495475e-16
relative error = 5.8764477637342406022636605386891e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.667
Order of pole = 3.57
x[1] = -1.312
y[1] (analytic) = 0.36746548764140071964441099691917
y[1] (numeric) = 0.36746548764140050287612055837235
absolute error = 2.1676829043854682383121006180128e-16
relative error = 5.8990108657519676775212051442255e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 3.57
x[1] = -1.311
y[1] (analytic) = 0.36782001536752024205499571305772
y[1] (numeric) = 0.36782001536752002424557307640446
absolute error = 2.1780942263665325966056803834977e-16
relative error = 5.9216305132014458675763919779032e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 3.571
x[1] = -1.31
y[1] (analytic) = 0.36817495673944258311549648392916
y[1] (numeric) = 0.36817495673944236426101024782813
absolute error = 2.1885448623610103772221814011018e-16
relative error = 5.9443067006587402855731669035327e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 3.571
x[1] = -1.309
y[1] (analytic) = 0.36853031217097153066485448027828
y[1] (numeric) = 0.36853031217097131076136440601009
absolute error = 2.1990349007426819684757622084982e-16
relative error = 5.9670394215021534105015797132778e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 3.572
x[1] = -1.308
y[1] (analytic) = 0.36888608207567771750998943510261
y[1] (numeric) = 0.36888608207567749655354647439221
absolute error = 2.2095644296071039573183765346263e-16
relative error = 5.9898286679024322621519234861631e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 3.573
x[1] = -1.307
y[1] (analytic) = 0.36924226686689443991302129161683
y[1] (numeric) = 0.36924226686689421789966761501899
absolute error = 2.2201335367659784568491455430716e-16
relative error = 6.0126744308129243897832415678781e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 3.573
x[1] = -1.306
y[1] (analytic) = 0.36959886695771345443363408825134
y[1] (numeric) = 0.36959886695771323135940311410395
absolute error = 2.2307423097414739262090417485671e-16
relative error = 6.0355766999596825478125268804261e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 3.574
x[1] = -1.305
y[1] (analytic) = 0.36995588276098075304519935997632
y[1] (numeric) = 0.3699558827609805289061157839266
absolute error = 2.2413908357604971958930990716890e-16
relative error = 6.0585354638315179329289441182522e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 3.574
x[1] = -1.304
y[1] (analytic) = 0.37031331468929231644309617481158
y[1] (numeric) = 0.37031331468929209123517599991994
absolute error = 2.2520792017489164107146717136939e-16
relative error = 6.0815507096700018581564709304064e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 3.575
x[1] = -1.303
y[1] (analytic) = 0.37067116315498984546348536905318
y[1] (numeric) = 0.37067116315498961918273593647972
absolute error = 2.2628074943257346018671768109966e-16
relative error = 6.1046224234594157405286864052979e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 3.575
x[1] = -1.302
y[1] (analytic) = 0.37102942857015647053061660638675
y[1] (numeric) = 0.37102942857015624317303662666539
absolute error = 2.2735757997972135987484592478873e-16
relative error = 6.1277505899166492802012423587430e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 3.576
x[1] = -1.301
y[1] (analytic) = 0.37138811134661243905056857662907
y[1] (numeric) = 0.37138811134661221061214816153427
absolute error = 2.2843842041509479904416007740135e-16
relative error = 6.1509351924810467100110446857096e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.658
Order of pole = 3.577
x[1] = -1.3
y[1] (analytic) = 0.37174721189591078066914498141264
y[1] (numeric) = 0.37174721189591055114586567642375
absolute error = 2.2952327930498888459838510396141e-16
relative error = 6.1741762133042009956965592965620e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.657
Order of pole = 3.577
x[1] = -1.299
y[1] (analytic) = 0.37210673062933295031147193887328
y[1] (numeric) = 0.37210673062933271969930675624159
absolute error = 2.3061216518263169018025788346651e-16
relative error = 6.1974736332396958682211521628579e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.656
Order of pole = 3.578
x[1] = -1.298
y[1] (analytic) = 0.37246666795788444892066608959164
y[1] (numeric) = 0.37246666795788421721557954201515
absolute error = 2.3170508654757649239539233807004e-16
relative error = 6.2208274318327955708911893081979e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 3.578
x[1] = -1.297
y[1] (analytic) = 0.37282702429229042181276701405446
y[1] (numeric) = 0.37282702429229018901071514896557
absolute error = 2.3280205186508889520663658495073e-16
relative error = 6.2442375873100822052329750788410e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 3.579
x[1] = -1.296
y[1] (analytic) = 0.37318780004299123456495259022188
y[1] (numeric) = 0.37318780004299100066188302469307
absolute error = 2.3390306956552881311679404513730e-16
relative error = 6.2677040765690405608877119205464e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.654
Order of pole = 3.58
memory used=152.5MB, alloc=4.5MB, time=10.65
x[1] = -1.295
y[1] (analytic) = 0.37354899562013802635388164100074
y[1] (numeric) = 0.37354899562013779134573359727345
absolute error = 2.3500814804372728368624647502762e-16
relative error = 6.2912268751675903161017396981083e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.653
Order of pole = 3.58
x[1] = -1.294
y[1] (analytic) = 0.37391061143358824066083465822327
y[1] (numeric) = 0.37391061143358800454353899986519
absolute error = 2.3611729565835807986171948667851e-16
relative error = 6.3148059573135654967305761707452e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 3.581
x[1] = -1.293
y[1] (analytic) = 0.37427264789290113326015055491534
y[1] (numeric) = 0.37427264789290089602962982361125
absolute error = 2.3723052073130409252319097192811e-16
relative error = 6.3384412958541410830399527515516e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 3.581
x[1] = -1.292
y[1] (analytic) = 0.37463510540733325740728530411379
y[1] (numeric) = 0.37463510540733301905945375709534
absolute error = 2.3834783154701845358778085000074e-16
relative error = 6.3621328622652066549753426279639e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 3.582
x[1] = -1.291
y[1] (analytic) = 0.37499798438583392614264698327246
y[1] (numeric) = 0.37499798438583368667341063139209
absolute error = 2.3946923635188036994239785418641e-16
relative error = 6.3858806266406869679836345219968e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 3.583
x[1] = -1.29
y[1] (analytic) = 0.37536128523704065162719117150257
y[1] (numeric) = 0.37536128523704041103244781795693
absolute error = 2.4059474335354563841097702666445e-16
relative error = 6.4096845576818093529068389673676e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 3.583
x[1] = -1.289
y[1] (analytic) = 0.37572500836927456142559085575504
y[1] (numeric) = 0.37572500836927431970123013546322
absolute error = 2.4172436072029181189734179979471e-16
relative error = 6.4335446226863178349282504433142e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 3.584
x[1] = -1.288
y[1] (analytic) = 0.37608915419053579165262600491022
y[1] (numeric) = 0.37608915419053554879452942455223
absolute error = 2.4285809658035798678108883916947e-16
relative error = 6.4574607875376338680365548237664e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 3.584
x[1] = -1.287
y[1] (analytic) = 0.37645372310849885689826978104322
y[1] (numeric) = 0.37645372310849861290231075976404
absolute error = 2.4399595902127918158144427567612e-16
relative error = 6.4814330166939635829831954913349e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 3.585
x[1] = -1.286
y[1] (analytic) = 0.37681871553050799684678098844071
y[1] (numeric) = 0.37681871553050775170882489922543
absolute error = 2.4513795608921527684279886500717e-16
relative error = 6.5054612731773514482431225676058e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 3.586
x[1] = -1.285
y[1] (analytic) = 0.37718413186357249950494582692906
y[1] (numeric) = 0.37718413186357225322085003865457
absolute error = 2.4628409578827448613561952632372e-16
relative error = 6.5295455185626802450490787867761e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 3.586
x[1] = -1.284
y[1] (analytic) = 0.37754997251436200095444633051631
y[1] (numeric) = 0.37754997251436175352006025068498
absolute error = 2.4743438607983132800767841023408e-16
relative error = 6.5536857129666172591550546733695e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.645
Order of pole = 3.587
x[1] = -1.283
y[1] (analytic) = 0.37791623788920176154316804914725
y[1] (numeric) = 0.37791623788920151295433316730818
absolute error = 2.4858883488183906866306115488968e-16
relative error = 6.5778818150365065935957082828087e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 3.588
x[1] = -1.282
y[1] (analytic) = 0.37828292839406791843009558453035
y[1] (numeric) = 0.37828292839406766868264551639374
absolute error = 2.4974745006813660509023657635564e-16
relative error = 6.6021337819392075083456255527396e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 3.588
x[1] = -1.281
y[1] (analytic) = 0.37865004443458271439828153463834
y[1] (numeric) = 0.37865004443458246348804206688858
absolute error = 2.5091023946774975830561421919537e-16
relative error = 6.6264415693498786944455323394042e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 3.589
x[1] = -1.28
y[1] (analytic) = 0.37901758641600970285021224984839
y[1] (numeric) = 0.37901758641600945077300138566145
absolute error = 2.5207721086418694632550772594933e-16
relative error = 6.6508051314407083918521958414471e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 3.589
x[1] = -1.279
y[1] (analytic) = 0.37938555474324892889973257112246
y[1] (numeric) = 0.37938555474324867565136057639326
absolute error = 2.5324837199472920642728487888518e-16
relative error = 6.6752244208695902619850100244559e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 3.59
x[1] = -1.278
y[1] (analytic) = 0.37975394982083208647453142160132
y[1] (numeric) = 0.37975394982083183205080087188678
absolute error = 2.5442373054971453620974368315762e-16
relative error = 6.6996993887687449276853868496002e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.5MB, time=10.92
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 3.591
x[1] = -1.277
y[1] (analytic) = 0.38012277205291765134303077207877
y[1] (numeric) = 0.38012277205291739573973660026224
absolute error = 2.5560329417181652291343250820119e-16
relative error = 6.7242299847332870950753138886761e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 3.591
x[1] = -1.276
y[1] (analytic) = 0.38049202184328598997936211273522
y[1] (numeric) = 0.38049202184328573319229165741799
absolute error = 2.5678707045531723041375584804398e-16
relative error = 6.7488161568097381735990318968884e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 3.592
x[1] = -1.275
y[1] (analytic) = 0.3808616995953344441799571530588
y[1] (numeric) = 0.38086169959533418620489020768448
absolute error = 2.5797506694537431325330072056889e-16
relative error = 6.7734578514844843123569770444370e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 3.593
x[1] = -1.274
y[1] (analytic) = 0.38123180571207239134512305400225
y[1] (numeric) = 0.38123180571207213217783191671992
absolute error = 2.5916729113728232703490737653603e-16
relative error = 6.7981550136721797726941670161462e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 3.593
x[1] = -1.273
y[1] (analytic) = 0.38160234059611628033881708616848
y[1] (numeric) = 0.38160234059611601997506661044028
absolute error = 2.6036375047572820445361736570873e-16
relative error = 6.8229075867040955588863346174334e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 3.594
x[1] = -1.272
y[1] (analytic) = 0.38197330464968464283968122035887
y[1] (numeric) = 0.38197330464968438127522886631801
absolute error = 2.6156445235404086620378790395093e-16
relative error = 6.8477155123164132306765747193707e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 3.594
x[1] = -1.271
y[1] (analytic) = 0.38234469827459308009624380744968
y[1] (numeric) = 0.38234469827459281732683969401474
absolute error = 2.6276940411343493595738995753463e-16
relative error = 6.8725787306384638233533194792433e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 3.595
x[1] = -1.27
y[1] (analytic) = 0.38271652187224922499904320869532
y[1] (numeric) = 0.38271652187224896102043016644679
absolute error = 2.6397861304224852857083482819692e-16
relative error = 6.8974971801809118030273432259574e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.634
Order of pole = 3.596
x[1] = -1.269
y[1] (analytic) = 0.38308877584364767938227701072763
y[1] (numeric) = 0.38308877584364741419019063555255
absolute error = 2.6519208637517508064062686866386e-16
relative error = 6.9224707978238839867614739351226e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 3.596
x[1] = -1.268
y[1] (analytic) = 0.38346146058936492646743031738338
y[1] (numeric) = 0.38346146058936466005759902489419
absolute error = 2.6640983129248919249274513386083e-16
relative error = 6.9474995188050433592320058596548e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 3.597
x[1] = -1.267
y[1] (analytic) = 0.38383457650955421836118756882634
y[1] (numeric) = 0.38383457650955395072933264955989
absolute error = 2.6763185491926645065694139642667e-16
relative error = 6.9725832767076077196557219375504e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 3.597
x[1] = -1.266
y[1] (analytic) = 0.38420812400394043851978441313746
y[1] (numeric) = 0.38420812400394016966162008854026
absolute error = 2.6885816432459719984513341476570e-16
relative error = 6.9977220034483130948012006608191e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 3.598
x[1] = -1.265
y[1] (analytic) = 0.38458210347181493909180936265131
y[1] (numeric) = 0.38458210347181466900304284185708
absolute error = 2.7008876652079423342279829740553e-16
relative error = 7.0229156292653218560179570287130e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 3.599
x[1] = -1.264
y[1] (analytic) = 0.38495651531203035305131932296928
y[1] (numeric) = 0.38495651531203008172765086037491
absolute error = 2.7132366846259437133375919157039e-16
relative error = 7.0481640827060754803622091690563e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 3.599
x[1] = -1.263
y[1] (analytic) = 0.38533135992299538103298860305437
y[1] (numeric) = 0.38533135992299510847011155670047
absolute error = 2.7256287704635389441203754392977e-16
relative error = 7.0734672906150918980739306084267e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 3.6
x[1] = -1.262
y[1] (analytic) = 0.38570663770266955278086771650871
y[1] (numeric) = 0.3857066377026692789744686072709
absolute error = 2.7380639910923780398954132096207e-16
relative error = 7.0988251781217073708666036854440e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 3.6
x[1] = -1.261
y[1] (analytic) = 0.38608234904855796312218618357984
y[1] (numeric) = 0.38608234904855768806794475517696
absolute error = 2.7505424142840287568530559663075e-16
relative error = 7.1242376686277628477289941725082e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 3.601
x[1] = -1.26
y[1] (analytic) = 0.38645849435770598237749265728861
y[1] (numeric) = 0.38645849435770570607108193711413
absolute error = 2.7630641072017447624082485688736e-16
relative error = 7.1497046837952347472075839968173e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=11.18
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 3.602
x[1] = -1.259
y[1] (analytic) = 0.38683507402669394111828604210081
y[1] (numeric) = 0.3868350740266936635553724028837
absolute error = 2.7756291363921711224674555570030e-16
relative error = 7.1752261435338101174392924787530e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 3.602
x[1] = -1.258
y[1] (analytic) = 0.38721208845163178918315286668598
y[1] (numeric) = 0.3872120884516315103593960889873
absolute error = 2.7882375677769867958885249029029e-16
relative error = 7.2008019659884061275370524273405e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 3.603
x[1] = -1.257
y[1] (analytic) = 0.38758953802815372886328903055717
y[1] (numeric) = 0.38758953802815344877434236610879
absolute error = 2.8008894666444838242591333267481e-16
relative error = 7.2264320675266338462959526805431e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 3.603
x[1] = -1.256
y[1] (analytic) = 0.38796742315141282216814818493321
y[1] (numeric) = 0.38796742315141254080965842082492
absolute error = 2.8135848976410829049857233491398e-16
relative error = 7.2521163627262062665852814184484e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 3.604
x[1] = -1.255
y[1] (analytic) = 0.38834574421607557208182444830633
y[1] (numeric) = 0.38834574421607528944943197202782
absolute error = 2.8263239247627850355713727840714e-16
relative error = 7.2778547643622905362221742033035e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 3.604
x[1] = -1.254
y[1] (analytic) = 0.38872450161631647772064391436244
y[1] (numeric) = 0.38872450161631619380998277970655
absolute error = 2.8391066113465589168681391394651e-16
relative error = 7.3036471833948043585859578265003e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 3.605
x[1] = -1.253
y[1] (analytic) = 0.38910369574581256330230750164688
y[1] (numeric) = 0.3891036957458122781090054954805
absolute error = 2.8519330200616638030174048022247e-16
relative error = 7.3294935289556565287289574983606e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 3.606
x[1] = -1.252
y[1] (analytic) = 0.3894833269977378808367971383881
y[1] (numeric) = 0.38948332699773759435647584829735
absolute error = 2.8648032129009074857409272737977e-16
relative error = 7.3553937083359315732697737391847e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 3.606
x[1] = -1.251
y[1] (analytic) = 0.38986339576475798644912809000854
y[1] (numeric) = 0.38986339576475769867740297282463
absolute error = 2.8777172511718391006159883593177e-16
relative error = 7.3813476269730184649191107576382e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 3.607
x[1] = -1.25
y[1] (analytic) = 0.39024390243902439024390243902439
y[1] (numeric) = 0.39024390243902410117638289023675
absolute error = 2.8906751954878764429605563187919e-16
relative error = 7.4073551884376833850864255669041e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 3.607
x[1] = -1.249
y[1] (analytic) = 0.39062484741216897962149233535456
y[1] (numeric) = 0.39062484741216868925378175941781
absolute error = 2.9036771057593674809690477495411e-16
relative error = 7.4334162944210865106482432078729e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 3.608
x[1] = -1.248
y[1] (analytic) = 0.39100623107529841595555666775106
y[1] (numeric) = 0.39100623107529812428325254929248
absolute error = 2.9167230411845857537764265541912e-16
relative error = 7.4595308447217428036262260180503e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 3.608
x[1] = -1.247
y[1] (analytic) = 0.39138805381898850454147128248863
y[1] (numeric) = 0.3913880538189882115601652584227
absolute error = 2.9298130602406593421883339240927e-16
relative error = 7.4856987372324267852252728710622e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 3.609
x[1] = -1.246
y[1] (analytic) = 0.39177031603327853772513081210852
y[1] (numeric) = 0.39177031603327824343040874466521
absolute error = 2.9429472206744330998980370124297e-16
relative error = 7.5119198679270212784193378428190e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 3.609
x[1] = -1.245
y[1] (analytic) = 0.3921530181076656111214595935334
y[1] (numeric) = 0.39215301810766531550890164420701
absolute error = 2.9561255794932638331175490899358e-16
relative error = 7.5381941308473101060455781180636e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 3.61
x[1] = -1.244
y[1] (analytic) = 0.39253616043109891283185007002845
y[1] (numeric) = 0.39253616043109861589703077445364
absolute error = 2.9693481929557481166806477165380e-16
relative error = 7.5645214180897147341761505611985e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 3.61
x[1] = -1.243
y[1] (analytic) = 0.39291974339197398556962950418636
y[1] (numeric) = 0.39291974339197368730811784794812
absolute error = 2.9826151165623824348300401286478e-16
relative error = 7.5909016197919748533817587993750e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 3.611
x[1] = -1.242
y[1] (analytic) = 0.39330376737812696160253979840822
y[1] (numeric) = 0.39330376737812666200989929379269
absolute error = 2.9959264050461553350799400098747e-16
relative error = 7.6173346241197728933821925912671e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.5MB, time=11.45
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 3.611
x[1] = -1.241
y[1] (analytic) = 0.39368823277682877042110074442508
y[1] (numeric) = 0.39368823277682846949288950811795
absolute error = 3.0092821123630712837491735442818e-16
relative error = 7.6438203172533024694968844855329e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 3.612
x[1] = -1.24
y[1] (analytic) = 0.39407313997477931904161412358134
y[1] (numeric) = 0.39407313997477901677338495532075
absolute error = 3.0226822916826059119889747079460e-16
relative error = 7.6703585833737807622632222188837e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 3.612
x[1] = -1.239
y[1] (analytic) = 0.39445848935810164485245477434805
y[1] (numeric) = 0.39445848935810134123975523653881
absolute error = 3.0361269953780923413842128132428e-16
relative error = 7.6969493046499048345822869713209e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 3.613
x[1] = -1.238
y[1] (analytic) = 0.39484428131233604091218505245901
y[1] (numeric) = 0.39484428131233573595055755075518
absolute error = 3.0496162750170382784872751865307e-16
relative error = 7.7235923612242518937811265775159e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 3.613
x[1] = -1.237
y[1] (analytic) = 0.39523051622243415360792105191392
y[1] (numeric) = 0.39523051622243384729290291677657
absolute error = 3.0631501813513735679505634822778e-16
relative error = 7.7502876311996235090479092553912e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 3.613
x[1] = -1.236
y[1] (analytic) = 0.39561719447275305258227255176255
y[1] (numeric) = 0.39561719447275274490939612099976
absolute error = 3.0767287643076278942569156205400e-16
relative error = 7.7770349906253337978016285863764e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 3.614
x[1] = -1.235
y[1] (analytic) = 0.39600431644704927283707392410577
y[1] (numeric) = 0.39600431644704896380186662640194
absolute error = 3.0903520729770383224076019560719e-16
relative error = 7.8038343134834415977017366495218e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 3.614
x[1] = -1.234
y[1] (analytic) = 0.39639188252847282892202020330147
y[1] (numeric) = 0.39639188252847251852000464274283
absolute error = 3.1040201556055863683152325065438e-16
relative error = 7.8306854716749266441854626972784e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 3.615
x[1] = -1.233
y[1] (analytic) = 0.39677989309956120111622119526769
y[1] (numeric) = 0.39677989309956088934291523687126
absolute error = 3.1177330595839642900643235424454e-16
relative error = 7.8575883350058097766419239164661e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 3.615
x[1] = -1.232
y[1] (analytic) = 0.39716834854223329351058691949874
y[1] (numeric) = 0.39716834854223298036150377575171
absolute error = 3.1314908314374702916457814415248e-16
relative error = 7.8845427711732171995927480122258e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 3.615
x[1] = -1.231
y[1] (analytic) = 0.39755724923778336389885984556491
y[1] (numeric) = 0.39755724923778304936950816398168
absolute error = 3.1452935168158323312435475296058e-16
relative error = 7.9115486457513888285491009576169e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 3.616
x[1] = -1.23
y[1] (analytic) = 0.39794659556687492538501333121095
y[1] (numeric) = 0.39794659556687460947089728291493
absolute error = 3.1591411604829602266524909983177e-16
relative error = 7.9386058221776307535550446296725e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 3.616
x[1] = -1.229
y[1] (analytic) = 0.39833638790953461961464141160856
y[1] (numeric) = 0.39833638790953430231126078094598
absolute error = 3.1730338063066257509367224898511e-16
relative error = 7.9657141617382118568073365441443e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 3.616
x[1] = -1.228
y[1] (analytic) = 0.39872662664514606153787264990526
y[1] (numeric) = 0.39872662664514574284072292509822
absolute error = 3.1869714972480704119972164134872e-16
relative error = 7.9928735235542046241624268095633e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 3.617
x[1] = -1.227
y[1] (analytic) = 0.39911731215244365561125015914803
y[1] (numeric) = 0.39911731215244333551582262399397
absolute error = 3.2009542753515406103073666279756e-16
relative error = 8.0200837645672701938028060000250e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 3.617
x[1] = -1.226
y[1] (analytic) = 0.39950844480950638334593116629299
y[1] (numeric) = 0.39950844480950606184771299291801
absolute error = 3.2149821817337498696952521953476e-16
relative error = 8.0473447395253876888373130841219e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 3.617
x[1] = -1.225
y[1] (analytic) = 0.39990002499375156210947263184204
y[1] (numeric) = 0.39990002499375123920394697451526
absolute error = 3.2290552565732678367023551929332e-16
relative error = 8.0746563009685278841538269543287e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 3.618
x[1] = -1.224
y[1] (analytic) = 0.40029205308192857508838448532049
y[1] (numeric) = 0.40029205308192825077103057533692
absolute error = 3.2431735390998357447306520806843e-16
relative error = 8.1020182992142712614282414923156e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.5MB, time=11.72
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 3.618
x[1] = -1.223
y[1] (analytic) = 0.40068452945011257231854900912719
y[1] (numeric) = 0.40068452945011224658484225076639
absolute error = 3.2573370675836080399037982036457e-16
relative error = 8.1294305823433705098210663869865e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 3.618
x[1] = -1.222
y[1] (analytic) = 0.40107745447369814269052382319864
y[1] (numeric) = 0.40107745447369781553593589076665
absolute error = 3.2715458793243198663139493431775e-16
relative error = 8.1568929961852575335627088741550e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 3.619
x[1] = -1.221
y[1] (analytic) = 0.4014708285273929568366668125344
y[1] (numeric) = 0.40147082852739262825666574849639
absolute error = 3.2858000106403801091040258406722e-16
relative error = 8.1844053843034950313407808290058e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 3.619
x[1] = -1.22
y[1] (analytic) = 0.4018646519852113808069442211863
y[1] (numeric) = 0.40186465198521105079699453539733
absolute error = 3.3000994968578896946463380873074e-16
relative error = 8.2119675879811727161579476964558e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 3.619
x[1] = -1.219
y[1] (analytic) = 0.40225892522046806044020803222577
y[1] (numeric) = 0.40225892522046772899577080226728
absolute error = 3.3144443722995848479228748549771e-16
relative error = 8.2395794462062482481271978973537e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 3.619
x[1] = -1.218
y[1] (analytic) = 0.40265364860577147633765568603323
y[1] (numeric) = 0.40265364860577114345418865866273
absolute error = 3.3288346702737050080906291687077e-16
relative error = 8.2672407956568329565132717155856e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 3.62
x[1] = -1.217
y[1] (analytic) = 0.40304882251301746934511418171617
y[1] (numeric) = 0.40304882251301713501807187543766
absolute error = 3.3432704230627851041275247114719e-16
relative error = 8.2949514706864224312146561588612e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 3.62
x[1] = -1.216
y[1] (analytic) = 0.40344444731338273645072168142735
y[1] (numeric) = 0.40344444731338240067555549019016
absolute error = 3.3577516619123718934012370306280e-16
relative error = 8.3227113033090720678103365733884e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 3.62
x[1] = -1.215
y[1] (analytic) = 0.40384052337731829700451291784874
y[1] (numeric) = 0.40384052337731795977667121588233
absolute error = 3.3722784170196640669849094139506e-16
relative error = 8.3505201231845176542697073135599e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 3.62
x[1] = -1.214
y[1] (analytic) = 0.40423705107454292916635001430999
y[1] (numeric) = 0.40423705107454259048127826210241
absolute error = 3.3868507175220758265608779753105e-16
relative error = 8.3783777576032410914429936918113e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 3.62
x[1] = -1.213
y[1] (analytic) = 0.4046340307740365764885777882623
y[1] (numeric) = 0.40463403077403623634171863968993
absolute error = 3.4014685914857236388064824182192e-16
relative error = 8.4062840314714813435135376474321e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 3.621
x[1] = -1.212
y[1] (analytic) = 0.40503146284403372453972224562404
y[1] (numeric) = 0.40503146284403338292651565624045
absolute error = 3.4161320658938358742452897514496e-16
relative error = 8.4342387672961907187026626601030e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 3.621
x[1] = -1.211
y[1] (analytic) = 0.4054293476520167474754928095078
y[1] (numeric) = 0.4054293476520164043913761459993
absolute error = 3.4308411666350850386730429846416e-16
relative error = 8.4622417851699365846728726555211e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 3.621
x[1] = -1.21
y[1] (analytic) = 0.40582768556470922446329288584067
y[1] (numeric) = 0.40582768556470887990370103665644
absolute error = 3.4455959184918423064308140599086e-16
relative error = 8.4902929027557486272761689250207e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 3.621
x[1] = -1.209
y[1] (analytic) = 0.40622647694806922586638967437292
y[1] (numeric) = 0.40622647694806887982675516153751
absolute error = 3.4603963451283540659986419700185e-16
relative error = 8.5183919352719117655416029633971e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 3.621
x[1] = -1.208
y[1] (analytic) = 0.40662572216728256909384271066465
y[1] (numeric) = 0.40662572216728222156959580278064
absolute error = 3.4752424690788401896218286403082e-16
relative error = 8.5465386954767048400901367892790e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 3.621
x[1] = -1.207
y[1] (analytic) = 0.40702542158675604402224149713719
y[1] (numeric) = 0.40702542158675569500881032358581
absolute error = 3.4901343117355137399595056571275e-16
relative error = 8.5747329936530851965057715142081e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 3.621
x[1] = -1.206
y[1] (analytic) = 0.40742557557011060789525577362783
y[1] (numeric) = 0.40742557557011025738806643997565
absolute error = 3.5050718933365218280615367463930e-16
relative error = 8.6029746375933192895800460056698e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.5MB, time=11.99
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 3.622
x[1] = -1.205
y[1] (analytic) = 0.40782618448017454960695751470723
y[1] (numeric) = 0.4078261844801741976014342193265
absolute error = 3.5200552329538073383357499742558e-16
relative error = 8.6312634325835594387827173306245e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 3.622
x[1] = -1.204
y[1] (analytic) = 0.40822724867897662327483164708264
y[1] (numeric) = 0.40822724867897626976639679899352
absolute error = 3.5350843484808912375633693938410e-16
relative error = 8.6595991813883668697950306810631e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 3.622
x[1] = -1.203
y[1] (analytic) = 0.40862876852773915100835278065748
y[1] (numeric) = 0.40862876852773879599242711859996
absolute error = 3.5501592566205751864568112435081e-16
relative error = 8.6879816842351811814737865864142e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 3.622
x[1] = -1.202
y[1] (analytic) = 0.40903074438687109477896796634822
y[1] (numeric) = 0.40903074438687073825097067909181
absolute error = 3.5652799728725641737312012755941e-16
relative error = 8.7164107387987363821947358033776e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 3.622
x[1] = -1.201
y[1] (analytic) = 0.40943317661596109729729065784038
y[1] (numeric) = 0.40943317661596073925263950573949
absolute error = 3.5804465115210088941795373451635e-16
relative error = 8.7448861401854236441529961913648e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 3.622
x[1] = -1.2
y[1] (analytic) = 0.40983606557377049180327868852459
y[1] (numeric) = 0.40983606557377013223739012632783
absolute error = 3.5956588856219675938018485291806e-16
relative error = 8.7734076809176009288765104112007e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 3.622
x[1] = -1.199
y[1] (analytic) = 0.41023941161822628067513920448835
y[1] (numeric) = 0.41023941161822591958342850540964
absolute error = 3.6109171069907871066414758246481e-16
relative error = 8.8019751509178496419363681116381e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 3.622
x[1] = -1.198
y[1] (analytic) = 0.41064321510641408276267614540712
y[1] (numeric) = 0.41064321510641372014055752646684
absolute error = 3.6262211861894028096272104751908e-16
relative error = 8.8305883374931784796154214580265e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 3.622
x[1] = -1.197
y[1] (analytic) = 0.41104747639457104935077106340859
y[1] (numeric) = 0.41104747639457068519365781205287
absolute error = 3.6415711325135572234089683281880e-16
relative error = 8.8592470253191746351243488295307e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.578
Order of pole = 3.622
x[1] = -1.196
y[1] (analytic) = 0.41145219583807874865866584156786
y[1] (numeric) = 0.41145219583807838296197044357416
absolute error = 3.6569669539799369889074500054035e-16
relative error = 8.8879509964241025368324890123328e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 3.622
x[1] = -1.195
y[1] (analytic) = 0.41185737379145601878069624489039
y[1] (numeric) = 0.4118573737914556515398305135676
absolute error = 3.6724086573132279510753383072044e-16
relative error = 8.9167000301729502959096982933500e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 3.622
x[1] = -1.194
y[1] (analytic) = 0.41226301060835178897410823388175
y[1] (numeric) = 0.41226301060835142018448344057294
absolute error = 3.6878962479330880831895209471194e-16
relative error = 8.9454939032514240457554968320870e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.576
Order of pole = 3.622
x[1] = -1.193
y[1] (analytic) = 0.41266910664153786919957462068487
y[1] (numeric) = 0.41266910664153749885660162658108
absolute error = 3.7034297299410379868611067711565e-16
relative error = 8.9743323896498903606231901220983e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.575
Order of pole = 3.622
x[1] = -1.192
y[1] (analytic) = 0.41307566224290170782001797705282
y[1] (numeric) = 0.41307566224290133591910736632595
absolute error = 3.7190091061072687048631389575512e-16
relative error = 9.0032152606472669459297980293333e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 3.622
x[1] = -1.191
y[1] (analytic) = 0.41348267776343911736333673905232
y[1] (numeric) = 0.41348267776343874389989895331566
absolute error = 3.7346343778573665858354147834584e-16
relative error = 9.0321422847948617978778197809131e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 3.621
x[1] = -1.19
y[1] (analytic) = 0.41389015355324696825462522246596
y[1] (numeric) = 0.41389015355324659322407069657046
absolute error = 3.7503055452589549419322174169454e-16
relative error = 9.0611132279001610352024305010818e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.573
Order of pole = 3.621
x[1] = -1.189
y[1] (analytic) = 0.41429808996151585042347479265416
y[1] (numeric) = 0.41429808996151547382121409182894
absolute error = 3.7660226070082522425325734438580e-16
relative error = 9.0901278530105656110979657054824e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.572
Order of pole = 3.621
memory used=175.4MB, alloc=4.5MB, time=12.26
x[1] = -1.188
y[1] (analytic) = 0.41470648733652270269194275059884
y[1] (numeric) = 0.41470648733652232451338670894418
absolute error = 3.7817855604165465892343966361427e-16
relative error = 9.1191859203970771186708269221830e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.571
Order of pole = 3.621
x[1] = -1.187
y[1] (analytic) = 0.41511534602562340984877763059633
y[1] (numeric) = 0.4151153460256230300893374909377
absolute error = 3.7975944013965862195040935462190e-16
relative error = 9.1482871875379329086125567259416e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 3.621
x[1] = -1.186
y[1] (analytic) = 0.4155246663752453673154945823894
y[1] (numeric) = 0.41552466637524498597058213750082
absolute error = 3.8134491244488857885524231751797e-16
relative error = 9.1774314091021907431871074036949e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 3.621
x[1] = -1.185
y[1] (analytic) = 0.41593444873088001330990235938816
y[1] (numeric) = 0.41593444873087963037493009459334
absolute error = 3.8293497226479481812561580839510e-16
relative error = 9.2066183369332632160805866693870e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.569
Order of pole = 3.621
x[1] = -1.184
y[1] (analytic) = 0.41634469343707532841269418316502
y[1] (numeric) = 0.41634469343707494388307542032486
absolute error = 3.8452961876284016082439283371568e-16
relative error = 9.2358477200324021731703287401700e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.568
Order of pole = 3.62
x[1] = -1.183
y[1] (analytic) = 0.41675540083742830244272843092842
y[1] (numeric) = 0.41675540083742791631387747382324
absolute error = 3.8612885095710517426140865974167e-16
relative error = 9.2651193045421333748333320355487e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 3.62
x[1] = -1.182
y[1] (analytic) = 0.41716657127457736854664172566793
y[1] (numeric) = 0.41716657127457698081397400678306
absolute error = 3.8773266771888486561530600966148e-16
relative error = 9.2944328337296416460322480310377e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 3.62
x[1] = -1.181
y[1] (analytic) = 0.4175782050901948044084566267782
y[1] (numeric) = 0.41757820509019441506738885550137
absolute error = 3.8934106777127683163750042370801e-16
relative error = 9.3237880479701067660905215217941e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.566
Order of pole = 3.62
x[1] = -1.18
y[1] (analytic) = 0.41799030262497910048486875104498
y[1] (numeric) = 0.41799030262497870953081906328413
absolute error = 3.9095404968776084082081979170461e-16
relative error = 9.3531846847299903557972926967411e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.565
Order of pole = 3.62
x[1] = -1.179
y[1] (analytic) = 0.41840286421864729517192382892176
y[1] (numeric) = 0.41840286421864690260031193815194
absolute error = 3.9257161189076982467110805862540e-16
relative error = 9.3826224785502740252675977554511e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.564
Order of pole = 3.619
x[1] = -1.178
y[1] (analytic) = 0.41881589020992727680882394822765
y[1] (numeric) = 0.4188158902099268826150712979754
absolute error = 3.9419375265025225498116873281457e-16
relative error = 9.4121011610296490518245688464162e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.563
Order of pole = 3.619
x[1] = -1.177
y[1] (analytic) = 0.41922938093655005242463408611558
y[1] (numeric) = 0.4192293809365496566041640038897
absolute error = 3.9582047008222588427290562936557e-16
relative error = 9.4416204608076578630680571198894e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.563
Order of pole = 3.619
x[1] = -1.176
y[1] (analytic) = 0.41964333673524198313369500993715
y[1] (numeric) = 0.41964333673524158568193286261433
absolute error = 3.9745176214732282684545314822263e-16
relative error = 9.4711801035477876062487056133898e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.562
Order of pole = 3.619
x[1] = -1.175
y[1] (analytic) = 0.42005775794171698608558676818062
y[1] (numeric) = 0.42005775794171658699796011885467
absolute error = 3.9908762664932595814453356224328e-16
relative error = 9.5007798119205160910783021161542e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.561
Order of pole = 3.618
x[1] = -1.174
y[1] (analytic) = 0.42047264489066870287552832387831
y[1] (numeric) = 0.42047264489066830214746709018169
absolute error = 4.0072806123369661045129187258469e-16
relative error = 9.5304193055863103991765662956322e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.56
Order of pole = 3.618
x[1] = -1.173
y[1] (analytic) = 0.4208879979157626343211434348417
y[1] (numeric) = 0.42088799791576223194808004874815
absolute error = 4.0237306338609354317749772797712e-16
relative error = 9.5600983011785784594816899933495e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.559
Order of pole = 3.618
x[1] = -1.172
y[1] (analytic) = 0.42130381734962824151157068803969
y[1] (numeric) = 0.42130381734962783748894025715652
absolute error = 4.0402263043088316634832700345903e-16
relative error = 9.5898165122865738951372740217831e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.559
Order of pole = 3.617
x[1] = -1.171
y[1] (analytic) = 0.42172010352385101303494667981871
y[1] (numeric) = 0.42172010352385060735818715017771
absolute error = 4.0567675952964099615400154706676e-16
relative error = 9.6195736494382544536121078246814e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.558
Order of pole = 3.617
memory used=179.2MB, alloc=4.5MB, time=12.52
x[1] = -1.17
y[1] (analytic) = 0.42213685676896449829034573008569
y[1] (numeric) = 0.42213685676896409095489805044137
absolute error = 4.0733544767964432175743333444967e-16
relative error = 9.6493694200830943381118382597783e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.557
Order of pole = 3.617
x[1] = -1.169
y[1] (analytic) = 0.42255407741444230679031725782686
y[1] (numeric) = 0.4225540774144418977916255454708
absolute error = 4.0899869171235606285674817576471e-16
relative error = 9.6792035285748507647032881958591e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.556
Order of pole = 3.616
x[1] = -1.168
y[1] (analytic) = 0.42297176578869007336022305839041
y[1] (numeric) = 0.42297176578868966269373476649061
absolute error = 4.1066648829189979781921389960495e-16
relative error = 9.7090756761542850759933316257962e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.556
Order of pole = 3.616
x[1] = -1.167
y[1] (analytic) = 0.4233899222190373891406412409728
y[1] (numeric) = 0.42338992221903697680180732744686
absolute error = 4.1233883391352594252672864602809e-16
relative error = 9.7389855609318387486851259503863e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.555
Order of pole = 3.616
x[1] = -1.166
y[1] (analytic) = 0.42380854703172969829917153905226
y[1] (numeric) = 0.4238085470317292842834466369832
absolute error = 4.1401572490206906040269693259692e-16
relative error = 9.7689328778702646388754596349065e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.554
Order of pole = 3.615
x[1] = -1.165
y[1] (analytic) = 0.42422764055192016035804812862582
y[1] (numeric) = 0.42422764055191974466089071822954
absolute error = 4.1569715741039628442589525696515e-16
relative error = 9.7989173187672138155583094709968e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.553
Order of pole = 3.615
x[1] = -1.164
y[1] (analytic) = 0.42464720310366147804404101072829
y[1] (numeric) = 0.42464720310366106066091359288145
absolute error = 4.1738312741784683227886625461655e-16
relative error = 9.8289385722377783394617302753150e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 3.615
x[1] = -1.163
y[1] (analytic) = 0.42506723500989769056720546772486
y[1] (numeric) = 0.42506723500989727149357473906226
absolute error = 4.1907363072866259612654227176608e-16
relative error = 9.8589963236969903510682342574645e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 3.614
x[1] = -1.162
y[1] (analytic) = 0.4254877365924559322351211193391
y[1] (numeric) = 0.42548773659245551146645814892931
absolute error = 4.2076866297040978887524741391050e-16
relative error = 9.8890902553422778384531698305867e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.551
Order of pole = 3.614
x[1] = -1.161
y[1] (analytic) = 0.42590870817203815630934771655435
y[1] (numeric) = 0.42590870817203773384112812416272
absolute error = 4.2246821959239162912302380332749e-16
relative error = 9.9192200461358774624215917133248e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.55
Order of pole = 3.613
x[1] = -1.16
y[1] (analytic) = 0.42633015006821282401091405184175
y[1] (numeric) = 0.4263301500682123998386181877897
absolute error = 4.2417229586405204737943537627219e-16
relative error = 9.9493853717872048233320361858405e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.549
Order of pole = 3.613
x[1] = -1.159
y[1] (analytic) = 0.42675206259940655858174926523964
y[1] (numeric) = 0.42675206259940613270086239186924
absolute error = 4.2588088687337039650668386254615e-16
relative error = 9.9795859047351825609657866811100e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 3.612
x[1] = -1.158
y[1] (analytic) = 0.42717444608289576430906242043876
y[1] (numeric) = 0.42717444608289533671507489519161
absolute error = 4.2759398752524714971408974229352e-16
relative error = 1.0009821314130526685832943794784e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 3.612
x[1] = -1.157
y[1] (analytic) = 0.42759730083479821041977654620253
y[1] (numeric) = 0.42759730083479778110818400632196
absolute error = 4.2931159253988056982480942736844e-16
relative error = 1.0040091265817991547402207425058e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.547
Order of pole = 3.612
x[1] = -1.156
y[1] (analytic) = 0.42802062717006457975222741934379
y[1] (numeric) = 0.42802062717006414871853096820946
absolute error = 4.3103369645113433392714246000897e-16
relative error = 1.0070395422318573851900043064475e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.546
Order of pole = 3.611
x[1] = -1.155
y[1] (analytic) = 0.42844442540246998211244523944688
y[1] (numeric) = 0.42844442540246954935215163455078
absolute error = 4.3276029360489609792299328316664e-16
relative error = 1.0100733442811676149547143977430e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 3.611
x[1] = -1.154
y[1] (analytic) = 0.42886869584460543222244904611025
y[1] (numeric) = 0.42886869584460499773107088868326
absolute error = 4.3449137815742698589305556683470e-16
relative error = 1.0131104983117230218386119540775e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 3.61
x[1] = -1.153
y[1] (analytic) = 0.42929343880786929216809929042087
y[1] (numeric) = 0.42929343880786885594115521671889
absolute error = 4.3622694407370198961214795212133e-16
relative error = 1.0161509695677780779204439490030e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.5MB, time=12.79
Complex estimate of poles used
Radius of convergence = 1.544
Order of pole = 3.61
x[1] = -1.152
y[1] (analytic) = 0.4297186546024586782541734275735
y[1] (numeric) = 0.42971865460245824028718830183224
absolute error = 4.3796698512574126396891350348342e-16
relative error = 1.0191947229540529983471144896103e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.543
Order of pole = 3.609
x[1] = -1.151
y[1] (analytic) = 0.43014434353736083217445278111976
y[1] (numeric) = 0.43014434353736039246295789018746
absolute error = 4.3971149489093230447186656603301e-16
relative error = 1.0222417230339343123684998645801e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.542
Order of pole = 3.609
x[1] = -1.15
y[1] (analytic) = 0.43057050592034445640473627556512
y[1] (numeric) = 0.43057050592034401494426952522213
absolute error = 4.4146046675034299345859585621105e-16
relative error = 1.0252919340276716023075888760502e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.541
Order of pole = 3.608
x[1] = -1.149
y[1] (analytic) = 0.43099714205795101372682797740368
y[1] (numeric) = 0.43099714205795057051293409037818
absolute error = 4.4321389388702550206687753566482e-16
relative error = 1.0283453198105704569210713251271e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.541
Order of pole = 3.608
x[1] = -1.148
y[1] (analytic) = 0.43142425225548599079168075985891
y[1] (numeric) = 0.43142425225548554581991147554787
absolute error = 4.4497176928431103547558311098014e-16
relative error = 1.0314018439111816863729959952733e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.54
Order of pole = 3.607
x[1] = -1.147
y[1] (analytic) = 0.43185183681701012563001784843642
y[1] (numeric) = 0.43185183681700967889593212434101
absolute error = 4.4673408572409540937965096051116e-16
relative error = 1.0344614695094868468182041810183e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.539
Order of pole = 3.607
x[1] = -1.146
y[1] (analytic) = 0.43227989604533059901889754793552
y[1] (numeric) = 0.43227989604533015051806176282007
absolute error = 4.4850083578511544612709411927099e-16
relative error = 1.0375241594350801233729448596155e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.538
Order of pole = 3.606
x[1] = -1.145
y[1] (analytic) = 0.43270843024199218961283413204098
y[1] (numeric) = 0.4327084302419917393408222908248
absolute error = 4.5027201184121617941710796726883e-16
relative error = 1.0405898761653466210374219400575e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.537
Order of pole = 3.606
x[1] = -1.144
y[1] (analytic) = 0.43313743970726839274823972944503
y[1] (numeric) = 0.43313743970726794070063366983617
absolute error = 4.5204760605960885693688728488444e-16
relative error = 1.0436585818236371139290414025550e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.537
Order of pole = 3.605
x[1] = -1.143
y[1] (analytic) = 0.43356692474015250283010810124135
y[1] (numeric) = 0.43356692474015204900249770212161
absolute error = 4.5382761039911973080083068264102e-16
relative error = 1.0467302381774393039858451271467e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.536
Order of pole = 3.605
x[1] = -1.142
y[1] (analytic) = 0.43399688563834865921002150888565
y[1] (numeric) = 0.43399688563834820359800490045603
absolute error = 4.5561201660842962614946990366301e-16
relative error = 1.0498048066365456411070671711038e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.535
Order of pole = 3.604
x[1] = -1.141
y[1] (analytic) = 0.43442732269826285546472645631985
y[1] (numeric) = 0.43442732269826239806391023201557
absolute error = 4.5740081622430427876678045359491e-16
relative error = 1.0528822482512177575119553573015e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.534
Order of pole = 3.603
x[1] = -1.14
y[1] (analytic) = 0.43485823621499391198469299008523
y[1] (numeric) = 0.4348582362149934527906924202698
absolute error = 4.5919400056981543308357724696114e-16
relative error = 1.0559625237103475699189942371118e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.534
Order of pole = 3.603
x[1] = -1.139
y[1] (analytic) = 0.43528962648232441178224549377296
y[1] (numeric) = 0.43528962648232395079068474122027
absolute error = 4.6099156075255269245154357357709e-16
relative error = 1.0590455933396151039754725339937e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.533
Order of pole = 3.602
x[1] = -1.138
y[1] (analytic) = 0.43572149379271159942903055453403
y[1] (numeric) = 0.43572149379271113663554289170792
absolute error = 4.6279348766282611409715307368530e-16
relative error = 1.0621314170996430962019865788430e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.532
Order of pole = 3.602
x[1] = -1.137
y[1] (analytic) = 0.43615383843727824303276954634331
y[1] (numeric) = 0.43615383843727777843299757448377
absolute error = 4.6459977197185954169739223991824e-16
relative error = 1.0652199545841484295579883085251e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.531
Order of pole = 3.601
x[1] = -1.136
y[1] (analytic) = 0.43658666070580345916343010422197
y[1] (numeric) = 0.4365866607058029927530259742473
absolute error = 4.6641040412997466905984519236911e-16
relative error = 1.0683111650180904595828991737407e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 3.601
x[1] = -1.135
y[1] (analytic) = 0.43701996088671350063914169279682
y[1] (numeric) = 0.43701996088671303241376732803099
absolute error = 4.6822537436476582893843333126298e-16
relative error = 1.0714050072558162889226466094292e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.5MB, time=13.06
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 3.6
x[1] = -1.134
y[1] (analytic) = 0.4374537392670725070823760387339
y[1] (numeric) = 0.4374537392670720370377033594684
absolute error = 4.7004467267926550157298046446346e-16
relative error = 1.0745014397792030489137641306230e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.529
Order of pole = 3.6
x[1] = -1.133
y[1] (analytic) = 0.43788799613257321815711333723638
y[1] (numeric) = 0.43788799613257274628882448713584
absolute error = 4.7186828885010053810586990827552e-16
relative error = 1.0776004206957972477664559449598e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.528
Order of pole = 3.599
x[1] = -1.132
y[1] (analytic) = 0.43832273176752764939791989564412
y[1] (numeric) = 0.43832273176752717570170747000503
absolute error = 4.7369621242563909460244490924029e-16
relative error = 1.0807019077369512457642882746186e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.527
Order of pole = 3.598
x[1] = -1.131
y[1] (analytic) = 0.43875794645485773054207228010658
y[1] (numeric) = 0.43875794645485725501363955597831
absolute error = 4.7552843272412827298354883298379e-16
relative error = 1.0838058582559569187814581417322e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.526
Order of pole = 3.598
x[1] = -1.13
y[1] (analytic) = 0.43919364047608590627607712240327
y[1] (numeric) = 0.4391936404760854289111382905808
absolute error = 4.7736493883182246576877847230508e-16
relative error = 1.0869122292261765723089317035914e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.526
Order of pole = 3.597
x[1] = -1.129
y[1] (analytic) = 0.43962981411132569930815456153301
y[1] (numeric) = 0.4396298141113252201024349604306
absolute error = 4.7920571960110240212770435251032e-16
relative error = 1.0900209772391711690781635560984e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.525
Order of pole = 3.597
x[1] = -1.128
y[1] (analytic) = 0.44006646763927223567847687714752
y[1] (numeric) = 0.44006646763927175462771322856263
absolute error = 4.8105076364858489334356811845736e-16
relative error = 1.0931320585028259342756306952926e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.524
Order of pole = 3.596
x[1] = -1.127
y[1] (analytic) = 0.44050360133719273221918225792455
y[1] (numeric) = 0.44050360133719224931912290470127
absolute error = 4.8290005935322327640987128040345e-16
relative error = 1.0962454288394734032530646799110e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.523
Order of pole = 3.596
x[1] = -1.126
y[1] (analytic) = 0.4409412154809169460764168764077
y[1] (numeric) = 0.44094121548091646132282202200915
absolute error = 4.8475359485439855510489432013033e-16
relative error = 1.0993610436840139775570673111599e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.523
Order of pole = 3.595
x[1] = -1.125
y[1] (analytic) = 0.44137931034482758620689655172414
y[1] (numeric) = 0.4413793103448270995955385017229
absolute error = 4.8661135805000123852260319595876e-16
relative error = 1.1024788580820340560277728658441e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.522
Order of pole = 3.594
x[1] = -1.124
y[1] (analytic) = 0.44181788620185068676172231215671
y[1] (numeric) = 0.44181788620185019828838571765283
absolute error = 4.8847333659450387768068464681101e-16
relative error = 1.1055988266879218086493972931605e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.521
Order of pole = 3.594
x[1] = -1.123
y[1] (analytic) = 0.44225694332344594227043216021731
y[1] (numeric) = 0.44225694332344545193091426319301
absolute error = 4.9033951789702430147767561886593e-16
relative error = 1.1087209037629806617759151944107e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.52
Order of pole = 3.593
x[1] = -1.122
y[1] (analytic) = 0.44269648197959700453852433325483
y[1] (numeric) = 0.44269648197959651232863521387527
absolute error = 4.9220988911937955393138908178928e-16
relative error = 1.1118450431735405643027518946285e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.519
Order of pole = 3.593
x[1] = -1.121
y[1] (analytic) = 0.4431365024388017411719453825398
y[1] (numeric) = 0.44313650243880124708750820840927
absolute error = 4.9408443717413053530016213889039e-16
relative error = 1.1149711983890671053102931892678e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.519
Order of pole = 3.592
x[1] = -1.12
y[1] (analytic) = 0.44357700496806245564229950319375
y[1] (numeric) = 0.4435770049680619596791507805764
absolute error = 4.9596314872261735036693655116306e-16
relative error = 1.1180993224802685546672217609420e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.518
Order of pole = 3.592
x[1] = -1.119
y[1] (analytic) = 0.44401798983287606880680377646181
y[1] (numeric) = 0.44401798983287557096079360347644
absolute error = 4.9784601017298536785390067838997e-16
relative error = 1.1212293681172008990512088057434e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.517
Order of pole = 3.591
x[1] = -1.118
y[1] (analytic) = 0.44445945729722426179728737504022
y[1] (numeric) = 0.44445945729722376206427969683823
absolute error = 4.9973300767820199563244968028867e-16
relative error = 1.1243612875673709468213437144738e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.516
Order of pole = 3.591
x[1] = -1.117
y[1] (analytic) = 0.4449014076235635801928113720359
y[1] (numeric) = 0.44490140762356307856868423797172
absolute error = 5.0162412713406417709963209998727e-16
relative error = 1.1274950326938375761608949751883e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.5MB, time=13.33
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 3.59
x[1] = -1.116
y[1] (analytic) = 0.44534384107281549939076962541239
y[1] (numeric) = 0.44534384107281499587141544821577
absolute error = 5.0351935417719661480812034211049e-16
relative error = 1.1306305549533112019005826709141e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 3.589
x[1] = -1.115
y[1] (analytic) = 0.44578675790435645109162032341829
y[1] (numeric) = 0.44578675790435594567294614037756
absolute error = 5.0541867418304072816214491196901e-16
relative error = 1.1337678053942515374315275201517e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.514
Order of pole = 3.589
x[1] = -1.114
y[1] (analytic) = 0.44623015837600781081269221364072
y[1] (numeric) = 0.44623015837600730349061994980637
absolute error = 5.0732207226383435272684263068316e-16
relative error = 1.1369067346549637291234434279904e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.513
Order of pole = 3.588
x[1] = -1.113
y[1] (analytic) = 0.44667404274402584634680934031157
y[1] (numeric) = 0.44667404274402533711727607372938
absolute error = 5.0922953326658218944316258368005e-16
relative error = 1.1400472929616929416774796543028e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 3.588
x[1] = -1.112
y[1] (analytic) = 0.44711841126309162708178332284095
y[1] (numeric) = 0.44711841126309111594074155182394
absolute error = 5.1114104177101701279492566099659e-16
relative error = 1.1431894301267174738644142175480e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 3.587
x[1] = -1.111
y[1] (analytic) = 0.4475632641863008940971328649733
y[1] (numeric) = 0.44756326418630038104055077742165
absolute error = 5.1305658208755164773891972888847e-16
relative error = 1.1463330955464404851276708675698e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.511
Order of pole = 3.587
x[1] = -1.11
y[1] (analytic) = 0.44800860176515389095470633036154
y[1] (numeric) = 0.44800860176515337597856807513982
absolute error = 5.1497613825522172598310840610739e-16
relative error = 1.1494782381994804145668962732723e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.51
Order of pole = 3.586
x[1] = -1.109
y[1] (analytic) = 0.44845442424954515510020489882644
y[1] (numeric) = 0.44845442424954463820051085920721
absolute error = 5.1689969403961923298221292194642e-16
relative error = 1.1526248066447601748616099326028e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.509
Order of pole = 3.586
x[1] = -1.108
y[1] (analytic) = 0.44890073188775326979293107039482
y[1] (numeric) = 0.44890073188775275096569813957796
absolute error = 5.1882723293081685781416956138327e-16
relative error = 1.1557727490195952047457442217893e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.508
Order of pole = 3.585
x[1] = -1.107
y[1] (analytic) = 0.44934752492643057648142015386558
y[1] (numeric) = 0.44934752492643005572268201258242
absolute error = 5.2075873814128315890534584057562e-16
relative error = 1.1589220130377804647027429955632e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.508
Order of pole = 3.585
x[1] = -1.106
y[1] (analytic) = 0.44979480361059284754295090579678
y[1] (numeric) = 0.44979480361059232484875830200822
absolute error = 5.2269419260378855938699301225834e-16
relative error = 1.1620725459876764616173007966012e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.507
Order of pole = 3.584
x[1] = -1.105
y[1] (analytic) = 0.45024256818360891930527571729269
y[1] (numeric) = 0.4502425681836083946716967479905
absolute error = 5.2463357896930218669029710016816e-16
relative error = 1.1652242947302943891938171169010e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.506
Order of pole = 3.584
x[1] = -1.104
y[1] (analytic) = 0.45069081888719028526926072283596
y[1] (numeric) = 0.45069081888718975869238111795639
absolute error = 5.2657687960487957182264183822043e-16
relative error = 1.1683772056973804720332268729129e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.505
Order of pole = 3.583
x[1] = -1.103
y[1] (analytic) = 0.45113955596138064945148197088436
y[1] (numeric) = 0.45113955596138012092740537934313
absolute error = 5.2852407659154122461339117881909e-16
relative error = 1.1715312248894996023490644074910e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.505
Order of pole = 3.583
x[1] = -1.102
y[1] (analytic) = 0.45158877964454543976618539345124
y[1] (numeric) = 0.45158877964454490929103367130914
absolute error = 5.3047515172214210207371306402586e-16
relative error = 1.1746862978741183594004385038311e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.504
Order of pole = 3.582
x[1] = -1.101
y[1] (analytic) = 0.45203849017336128136638578501682
y[1] (numeric) = 0.45203849017336074893629928578483
absolute error = 5.3243008649923198788177663773110e-16
relative error = 1.1778423697836875028240541597654e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.503
Order of pole = 3.582
x[1] = -1.1
y[1] (analytic) = 0.45248868778280542986425339366516
y[1] (numeric) = 0.45248868778280489547539126075836
absolute error = 5.3438886213290680188213880858887e-16
relative error = 1.1809993853137240321595267669814e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.502
Order of pole = 3.581
x[1] = -1.099
y[1] (analytic) = 0.4529393727061451643513160832883
y[1] (numeric) = 0.45293937270614462799985654463744
absolute error = 5.3635145953865085937636991403323e-16
relative error = 1.1841572887208929059820088725725e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.5MB, time=13.60
Complex estimate of poles used
Radius of convergence = 1.502
Order of pole = 3.581
x[1] = -1.098
y[1] (analytic) = 0.45339054517492714013939038920858
y[1] (numeric) = 0.45339054517492660182153105403848
absolute error = 5.3831785933517010088102910819448e-16
relative error = 1.1873160238210885151836013251502e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.501
Order of pole = 3.58
x[1] = -1.097
y[1] (analytic) = 0.45384220541896670114354620499417
y[1] (numeric) = 0.45384220541896616085550436277786
absolute error = 5.4028804184221631393906497680977e-16
relative error = 1.1904755339875160060801612214874e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.5
Order of pole = 3.58
x[1] = -1.096
y[1] (analytic) = 0.45429435366633715182880735011921
y[1] (numeric) = 0.45429435366633660956682027171684
absolute error = 5.4226198707840236949166279028004e-16
relative error = 1.1936357621487725501629600005691e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.499
Order of pole = 3.58
x[1] = -1.095
y[1] (analytic) = 0.45474699014335898864269392116961
y[1] (numeric) = 0.45474699014335844440301916216111
absolute error = 5.4423967475900849624956379726176e-16
relative error = 1.1967966507869286584651970292735e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.498
Order of pole = 3.579
x[1] = -1.094
y[1] (analytic) = 0.45520011507458909085612216842768
y[1] (numeric) = 0.45520011507458854463503787464807
absolute error = 5.4622108429377961744602111742252e-16
relative error = 1.1999581419356096396716472475140e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.498
Order of pole = 3.579
x[1] = -1.093
y[1] (analytic) = 0.45565372868280987073559370997367
y[1] (numeric) = 0.45565372868280932252939892525989
absolute error = 5.4820619478471377530790821237066e-16
relative error = 1.2031201771780773022657254503711e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.497
Order of pole = 3.578
x[1] = -1.092
y[1] (analytic) = 0.45610783118901838297002824219691
y[1] (numeric) = 0.45610783118901783277504321835524
absolute error = 5.5019498502384166954713670543953e-16
relative error = 1.2062826976453120021819935297548e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.496
Order of pole = 3.578
x[1] = -1.091
y[1] (analytic) = 0.45656242281241539327602257427243
y[1] (numeric) = 0.4565624228124148410885890832751
absolute error = 5.5218743349099733715154758967664e-16
relative error = 1.2094456440140951386136288062645e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.495
Order of pole = 3.578
x[1] = -1.09
y[1] (analytic) = 0.45701750377039440610575385037247
y[1] (numeric) = 0.45701750377039385192223549879247
absolute error = 5.5418351835158000174289070369131e-16
relative error = 1.2126089565050922018136191487470e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.495
Order of pole = 3.577
x[1] = -1.089
y[1] (analytic) = 0.45747307427853065138218627297144
y[1] (numeric) = 0.45747307427853009519896881866432
absolute error = 5.5618321745430712176947884070942e-16
relative error = 1.2157725748809364779254609569624e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.494
Order of pole = 3.577
x[1] = -1.088
y[1] (analytic) = 0.45792913455057003018668854957358
y[1] (numeric) = 0.45792913455056947200018022061491
absolute error = 5.5818650832895866781267203017602e-16
relative error = 1.2189364384443135170839156698647e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.493
Order of pole = 3.576
x[1] = -1.087
y[1] (analytic) = 0.45838568479841801932462369973171
y[1] (numeric) = 0.45838568479841745913125551561905
absolute error = 5.6019336818411266030959139543187e-16
relative error = 1.2221004860360464722389349909409e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.492
Order of pole = 3.576
x[1] = -1.086
y[1] (analytic) = 0.45884272523212853469493382570217
y[1] (numeric) = 0.45884272523212797249115992083017
absolute error = 5.6220377390487200002945749592578e-16
relative error = 1.2252646560331824173761995487907e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.492
Order of pole = 3.576
x[1] = -1.085
y[1] (analytic) = 0.45930025605989275339021001504208
y[1] (numeric) = 0.45930025605989218917250796445946
absolute error = 5.6421770205058262468777209681873e-16
relative error = 1.2284288863470797550358346034962e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.491
Order of pole = 3.575
x[1] = -1.084
y[1] (analytic) = 0.45975827748802789445421175362841
y[1] (numeric) = 0.45975827748802732821908290108539
absolute error = 5.6623512885254302614129168884976e-16
relative error = 1.2315931144214968242667733355828e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.49
Order of pole = 3.575
x[1] = -1.083
y[1] (analytic) = 0.46021678972096595822428112986904
y[1] (numeric) = 0.46021678972096538996825091816387
absolute error = 5.6825603021170516367745253971333e-16
relative error = 1.2347572772306818213979361715652e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 3.575
x[1] = -1.082
y[1] (analytic) = 0.46067579296124242418658475236833
y[1] (numeric) = 0.46067579296124185390620305600152
absolute error = 5.7028038169636680999467723320498e-16
relative error = 1.2379213112774641472588857423717e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 3.575
memory used=198.3MB, alloc=4.5MB, time=13.86
x[1] = -1.081
y[1] (analytic) = 0.46113528740948490727261073126373
y[1] (numeric) = 0.46113528740948433496445219140836
absolute error = 5.7230815853985536756489807656259e-16
relative error = 1.2410851525913472957419029378087e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.488
Order of pole = 3.574
x[1] = -1.08
y[1] (analytic) = 0.46159527326440177252584933530281
y[1] (numeric) = 0.46159527326440119818651369709961
absolute error = 5.7433933563820319417674984513396e-16
relative error = 1.2442487367266033998645108644982e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.487
Order of pole = 3.574
x[1] = -1.079
y[1] (analytic) = 0.46205575072277070806809408009552
y[1] (numeric) = 0.46205575072277013169420653228104
absolute error = 5.7637388754781447757728937331604e-16
relative error = 1.2474119987603695527663503305949e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.486
Order of pole = 3.574
x[1] = -1.078
y[1] (analytic) = 0.46251671997942725629531507563998
y[1] (numeric) = 0.46251671997942667788352659251628
absolute error = 5.7841178848312370026186863760424e-16
relative error = 1.2505748732907460223569819914659e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.486
Order of pole = 3.574
x[1] = -1.077
y[1] (analytic) = 0.46297818122725330323357851114551
y[1] (numeric) = 0.46297818122725272278056619689977
absolute error = 5.8045301231424573660599720490461e-16
relative error = 1.2537372944348964796216549367924e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.485
Order of pole = 3.573
x[1] = -1.076
y[1] (analytic) = 0.46344013465716552598601523049659
y[1] (numeric) = 0.46344013465716494348848266587896
absolute error = 5.8249753256461762568975506550790e-16
relative error = 1.2568991958271503618903369262314e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.484
Order of pole = 3.573
x[1] = -1.075
y[1] (analytic) = 0.46390258045810379820237750072485
y[1] (numeric) = 0.46390258045810321365705509209278
absolute error = 5.8454532240863206433463358657315e-16
relative error = 1.2600605106171074936813445250567e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 3.573
x[1] = -1.074
y[1] (analytic) = 0.46436551881701955350326634705936
y[1] (numeric) = 0.46436551881701896690691167779669
absolute error = 5.8659635466926266605466607004371e-16
relative error = 1.2632211714677450890447380698535e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 3.573
x[1] = -1.073
y[1] (analytic) = 0.46482894991886410679166227015952
y[1] (numeric) = 0.46482894991886351814106045447848
absolute error = 5.8865060181568103281843543739410e-16
relative error = 1.2663811105535272606522518910936e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.482
Order of pole = 3.573
x[1] = -1.072
y[1] (analytic) = 0.46529287394657693338494982281647
y[1] (numeric) = 0.46529287394657634267691386195079
absolute error = 5.9070803596086568772608993559055e-16
relative error = 1.2695402595585171622099088721323e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.481
Order of pole = 3.572
x[1] = -1.071
y[1] (analytic) = 0.46575729108107390590119145372631
y[1] (numeric) = 0.4657572910810733131325625945234
absolute error = 5.9276862885920291792593327837330e-16
relative error = 1.2726985496744918921066137119319e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.48
Order of pole = 3.572
x[1] = -1.07
y[1] (analytic) = 0.46622220150123548883397827404541
y[1] (numeric) = 0.46622220150123489400162636996583
absolute error = 5.9483235190407957832855787636643e-16
relative error = 1.2758559115990602875569237890184e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.48
Order of pole = 3.572
x[1] = -1.069
y[1] (analytic) = 0.46668760538389489075076501765713
y[1] (numeric) = 0.46668760538389429385158889218922
absolute error = 5.9689917612546790792293308459477e-16
relative error = 1.2790122755337837398488520192794e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.479
Order of pole = 3.572
x[1] = -1.068
y[1] (analytic) = 0.46715350290382617405018349789594
y[1] (numeric) = 0.46715350290382557508111131039353
absolute error = 5.9896907218750241175841875296747e-16
relative error = 1.2821675711823001626679533846522e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.478
Order of pole = 3.572
x[1] = -1.067
y[1] (analytic) = 0.46761989423373232221442336154172
y[1] (numeric) = 0.46761989423373172117241297549286
absolute error = 6.0104201038604886292942156658672e-16
relative error = 1.2853217277484512468370757965085e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 3.572
x[1] = -1.066
y[1] (analytic) = 0.46808677954423326449337095502809
y[1] (numeric) = 0.46808677954423266137541030876261
absolute error = 6.0311796064626548018542117267646e-16
relative error = 1.2884746739344131361870056347744e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 3.572
x[1] = -1.065
y[1] (analytic) = 0.4685541590038538579578066979817
y[1] (numeric) = 0.46855415900385325276091417782536
absolute error = 6.0519689252015633808843806125272e-16
relative error = 1.2916263379388306606567967212771e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.476
Order of pole = 3.572
x[1] = -1.064
y[1] (analytic) = 0.46902203277901182685957855556223
y[1] (numeric) = 0.46902203277901121958080337144516
absolute error = 6.0727877518411706795276842185331e-16
relative error = 1.2947766474549552641138257411598e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.475
Order of pole = 3.572
memory used=202.1MB, alloc=4.5MB, time=14.14
x[1] = -1.063
y[1] (analytic) = 0.46949040103400565923729406390422
y[1] (numeric) = 0.46949040103400504987371662743131
absolute error = 6.0936357743647290912804522100336e-16
relative error = 1.2979255296687867657825533513353e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.474
Order of pole = 3.572
x[1] = -1.062
y[1] (analytic) = 0.46995926393100246070670594272888
y[1] (numeric) = 0.46995926393100184925543824771971
absolute error = 6.1145126769500917152647165957750e-16
relative error = 1.3010729112572190955775735620020e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.474
Order of pole = 3.572
x[1] = -1.061
y[1] (analytic) = 0.47042862163002576537560667651117
y[1] (numeric) = 0.470428621630025151833792682017
absolute error = 6.1354181399449417164848472810333e-16
relative error = 1.3042187183861901450507886047085e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.473
Order of pole = 3.572
x[1] = -1.06
y[1] (analytic) = 0.47089847428894330382369561122622
y[1] (numeric) = 0.47089847428894268818851162703151
absolute error = 6.1563518398419470572821414532867e-16
relative error = 1.3073628767088358770844355590200e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.472
Order of pole = 3.572
x[1] = -1.059
y[1] (analytic) = 0.47136882206345472808853814858582
y[1] (numeric) = 0.4713688220634541103571932232017
absolute error = 6.1773134492538412500097650095112e-16
relative error = 1.3105053113636488388911966282143e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.471
Order of pole = 3.572
x[1] = -1.058
y[1] (analytic) = 0.47183966510707929359940057488945
y[1] (numeric) = 0.47183966510707867376913688604637
absolute error = 6.1983026368884307948975646705372e-16
relative error = 1.3136459469726412243197282250408e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.471
Order of pole = 3.572
x[1] = -1.057
y[1] (analytic) = 0.47231100357114349800141598838871
y[1] (numeric) = 0.47231100357114287606950923603571
absolute error = 6.2193190675235299811624659787052e-16
relative error = 1.3167847076395126329086249930948e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.47
Order of pole = 3.572
x[1] = -1.056
y[1] (analytic) = 0.47278283760476867681321673878181
y[1] (numeric) = 0.47278283760476805277697654059943
absolute error = 6.2403624019818237436461415447931e-16
relative error = 1.3199215169478226745840725242488e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.469
Order of pole = 3.572
x[1] = -1.055
y[1] (analytic) = 0.47325516735485855586185681664912
y[1] (numeric) = 0.47325516735485792971862710608319
absolute error = 6.2614322971056592816280675069835e-16
relative error = 1.3230562979591685703562147343944e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.468
Order of pole = 3.572
x[1] = -1.054
y[1] (analytic) = 0.47372799296608676043954378099365
y[1] (numeric) = 0.47372799296608613218670320781694
absolute error = 6.2825284057317671609696711304605e-16
relative error = 1.3261889732113679008365454304027e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.468
Order of pole = 3.572
x[1] = -1.053
y[1] (analytic) = 0.47420131458088428112740414138976
y[1] (numeric) = 0.4742013145808836507623664747985
absolute error = 6.3036503766659126353946907147799e-16
relative error = 1.3293194647166466558734042331544e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.467
Order of pole = 3.572
x[1] = -1.052
y[1] (analytic) = 0.47467513233942689623221866954257
y[1] (numeric) = 0.47467513233942626375243320379477
absolute error = 6.3247978546574779375027971784029e-16
relative error = 1.3324476939598327400848892826930e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.466
Order of pole = 3.572
x[1] = -1.051
y[1] (analytic) = 0.47514944637962255078278495543811
y[1] (numeric) = 0.47514944637962191618573691804048
absolute error = 6.3459704803739763050486361570770e-16
relative error = 1.3355735818965550905581664704820e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.466
Order of pole = 3.572
x[1] = -1.05
y[1] (analytic) = 0.4756242568370986920332936979786
y[1] (numeric) = 0.47562425683709805531650466042874
absolute error = 6.3671678903754985230974059175134e-16
relative error = 1.3386970489514485644812295941572e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.465
Order of pole = 3.572
x[1] = -1.049
y[1] (analytic) = 0.47609956384518956142184278144983
y[1] (numeric) = 0.47609956384518892258287107254055
absolute error = 6.3883897170890927778915498318131e-16
relative error = 1.3418180150163647559776189158290e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.464
Order of pole = 3.573
x[1] = -1.048
y[1] (analytic) = 0.47657536753492344293295918989813
y[1] (numeric) = 0.47657536753492280196940031159026
absolute error = 6.4096355887830786336317666282325e-16
relative error = 1.3449363994485889029264070443087e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.463
Order of pole = 3.573
x[1] = -1.047
y[1] (analytic) = 0.47705166803500986781375330417912
y[1] (numeric) = 0.47705166803500922472324035004952
absolute error = 6.4309051295412959588899750555325e-16
relative error = 1.3480521210690630460688795721183e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.463
Order of pole = 3.573
x[1] = -1.046
y[1] (analytic) = 0.4775284654718267755940931638935
y[1] (numeric) = 0.47752846547182613037429724016454
absolute error = 6.4521979592372896450327535859949e-16
relative error = 1.3511650981606156042297409808489e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.5MB, time=14.41
Complex estimate of poles used
Radius of convergence = 1.462
Order of pole = 3.573
x[1] = -1.045
y[1] (analytic) = 0.47800575996940763136195791159283
y[1] (numeric) = 0.47800575996940698401058856074974
absolute error = 6.4735136935084309748417454485457e-16
relative error = 1.3542752484661975310143302521994e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.461
Order of pole = 3.573
x[1] = -1.044
y[1] (analytic) = 0.4784835516494284992459099226005
y[1] (numeric) = 0.47848355164942784976071554960285
absolute error = 6.4948519437299765154732030440672e-16
relative error = 1.3573824891871252198842004077106e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.46
Order of pole = 3.574
x[1] = -1.043
y[1] (analytic) = 0.47896184063119507205741411376014
y[1] (numeric) = 0.4789618406311944204361824148536
absolute error = 6.5162123169890654260028651724206e-16
relative error = 1.3604867369813303260614656047373e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.46
Order of pole = 3.574
x[1] = -1.042
y[1] (analytic) = 0.47944062703162965704653067173467
y[1] (numeric) = 0.47944062703162900328708906586907
absolute error = 6.5375944160586560860553299248720e-16
relative error = 1.3635879079616166752675109165421e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.459
Order of pole = 3.574
x[1] = -1.041
y[1] (analytic) = 0.47991991096525811772531399959975
y[1] (numeric) = 0.47991991096525746182553006245945
absolute error = 6.5589978393714029684196127020606e-16
relative error = 1.3666859176939244308639547014642e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 3.574
x[1] = -1.04
y[1] (analytic) = 0.48039969254419677171406610299769
y[1] (numeric) = 0.48039969254419611367184800365022
absolute error = 6.5804221809934746951052622430403e-16
relative error = 1.3697806811956016925331113885113e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 3.575
x[1] = -1.039
y[1] (analytic) = 0.48087997187813924456641697775594
y[1] (numeric) = 0.48087997187813858437971391792451
absolute error = 6.6018670305983142329968397260379e-16
relative error = 1.3728721129336837012115821143930e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.457
Order of pole = 3.575
x[1] = -1.038
y[1] (analytic) = 0.48136074907434327953003787346374
y[1] (numeric) = 0.48136074907434261719684052942952
absolute error = 6.6233319734403422021193309416150e-16
relative error = 1.3759601268231798265739591348673e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.456
Order of pole = 3.575
x[1] = -1.037
y[1] (analytic) = 0.48184202423761750320063564599837
y[1] (numeric) = 0.48184202423761683871897661313795
absolute error = 6.6448165903286042865337351312275e-16
relative error = 1.3790446362253685149539231345561e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 3.576
x[1] = -1.036
y[1] (analytic) = 0.48232379747030814702772783046897
y[1] (numeric) = 0.4823237974703074803956820704326
absolute error = 6.6663204576003637550412238732698e-16
relative error = 1.3821255539461003771871949291555e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 3.576
x[1] = -1.035
y[1] (analytic) = 0.48280606887228572463155861869184
y[1] (numeric) = 0.48280606887228505584724390922783
absolute error = 6.6878431470946401161864483686496e-16
relative error = 1.3852027922341095974648276522356e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.454
Order of pole = 3.576
x[1] = -1.034
y[1] (analytic) = 0.48328883854093166489138566642631
y[1] (numeric) = 0.48328883854093099395296305385682
absolute error = 6.7093842261256949495163438321049e-16
relative error = 1.3882762627793338458961439938263e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 3.577
x[1] = -1.033
y[1] (analytic) = 0.483772106571124900766246639598
y[1] (numeric) = 0.48377210657112422767192089395141
absolute error = 6.7309432574564659726706766334758e-16
relative error = 1.3913458767112428790981856291615e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 3.577
x[1] = -1.032
y[1] (analytic) = 0.48425587305522841381020269013823
y[1] (numeric) = 0.48425587305522773855822276294318
absolute error = 6.7525197992719504216551353251635e-16
relative error = 1.3944115445971760147527974169710e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.452
Order of pole = 3.578
x[1] = -1.031
y[1] (analytic) = 0.48474013808307573434495368550351
y[1] (numeric) = 0.48474013808307505693361317024962
absolute error = 6.7741134051525388395775032503794e-16
relative error = 1.3974731764406886677033645682906e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 3.578
x[1] = -1.03
y[1] (analytic) = 0.48522490174195739725362705614052
y[1] (numeric) = 0.48522490174195671768126465141048
absolute error = 6.7957236240473003872128808748236e-16
relative error = 1.4005306816799081368007026194924e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 3.578
x[1] = -1.029
y[1] (analytic) = 0.48571016411660735336045862696537
y[1] (numeric) = 0.48571016411660667162545860224328
absolute error = 6.8173500002472208070055532224893e-16
relative error = 1.4035839691858988333516120202143e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.45
Order of pole = 3.579
x[1] = -1.028
y[1] (analytic) = 0.48619592528918933636200981726812
y[1] (numeric) = 0.4861959252891886524628024814287
absolute error = 6.8389920733583941905134145651213e-16
relative error = 1.4066329472610371436740942862908e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.5MB, time=14.67
Complex estimate of poles used
Radius of convergence = 1.449
Order of pole = 3.579
x[1] = -1.027
y[1] (analytic) = 0.48668218533928318527650118336773
y[1] (numeric) = 0.48668218533928249921156335585076
absolute error = 6.8606493782751697178563511560898e-16
relative error = 1.4096775236373961199201262554601e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 3.58
x[1] = -1.026
y[1] (analytic) = 0.4871689443438711223787874949578
y[1] (numeric) = 0.48716894434387043414664297963235
absolute error = 6.8823214451532545564431150133818e-16
relative error = 1.4127176054751401949901427553209e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 3.58
x[1] = -1.025
y[1] (analytic) = 0.48765620237732398658945443462359
y[1] (numeric) = 0.48765620237732329618867449634618
absolute error = 6.9040077993827741251224583569244e-16
relative error = 1.4157530993609301190329241168168e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.447
Order of pole = 3.581
x[1] = -1.024
y[1] (analytic) = 0.48814395951138742228748164578712
y[1] (numeric) = 0.48814395951138672971668548965803
absolute error = 6.9257079615612909489340889721079e-16
relative error = 1.4187839113063383167003600250125e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.446
Order of pole = 3.581
x[1] = -1.023
y[1] (analytic) = 0.48863221581516802351689128275241
y[1] (numeric) = 0.48863221581516732877474653607407
absolute error = 6.9474214474667833488237897987289e-16
relative error = 1.4218099467462748660085001713003e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.446
Order of pole = 3.582
x[1] = -1.022
y[1] (analytic) = 0.48912097135511943355878549306329
y[1] (numeric) = 0.48912097135511873664400869000476
absolute error = 6.9691477680305852300352480885730e-16
relative error = 1.4248311105374243013443384153118e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.445
Order of pole = 3.582
x[1] = -1.021
y[1] (analytic) = 0.48961022619502839984117044262233
y[1] (numeric) = 0.48961022619502770075252751159351
absolute error = 6.9908864293102882523991752964943e-16
relative error = 1.4278473069566934448518423991747e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.444
Order of pole = 3.583
x[1] = -1.02
y[1] (analytic) = 0.49009998039600078415996863360125
y[1] (numeric) = 0.49009998039600008289627538734049
absolute error = 7.0126369324626076854085710757912e-16
relative error = 1.4308584396996704721307648423044e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.444
Order of pole = 3.583
x[1] = -1.019
y[1] (analytic) = 0.49059023401644752818563541982995
y[1] (numeric) = 0.49059023401644682474575804820862
absolute error = 7.0343987737162132707978835291718e-16
relative error = 1.4338644118790954198876844668406e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.443
Order of pole = 3.584
x[1] = -1.018
y[1] (analytic) = 0.49108098711207057423081984988636
y[1] (numeric) = 0.49108098711206986861367541543372
absolute error = 7.0561714443445264353337207303804e-16
relative error = 1.4368651260233423448904503532571e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.442
Order of pole = 3.584
x[1] = -1.017
y[1] (analytic) = 0.49157223973584874125554432039892
y[1] (numeric) = 0.4915722397358480334601012565504
absolute error = 7.0779544306384852166760400378983e-16
relative error = 1.4398604840749133452946684812656e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.441
Order of pole = 3.585
x[1] = -1.016
y[1] (analytic) = 0.49206399193802355608742205706368
y[1] (numeric) = 0.49206399193802284611270066913585
absolute error = 7.0997472138792782854817332099906e-16
relative error = 1.4428503873889446571339965206403e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.441
Order of pole = 3.585
x[1] = -1.015
y[1] (analytic) = 0.49255624376608503983548621458213
y[1] (numeric) = 0.49255624376608432768055918347718
absolute error = 7.1215492703110494673975746445877e-16
relative error = 1.4458347367317250404947240982808e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.44
Order of pole = 3.586
x[1] = -1.014
y[1] (analytic) = 0.4930489952647574494772694552203
y[1] (numeric) = 0.49304899526475673514126234386289
absolute error = 7.1433600711135741892269312820765e-16
relative error = 1.4488134322792266716293305118582e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.439
Order of pole = 3.587
x[1] = -1.013
y[1] (analytic) = 0.49354224647598497459984828511343
y[1] (numeric) = 0.4935422464759842580819400476225
absolute error = 7.1651790823749092943547558475490e-16
relative error = 1.4517863736156487590033481300873e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.439
Order of pole = 3.587
x[1] = -1.012
y[1] (analytic) = 0.49403599743891738927665225398983
y[1] (numeric) = 0.49403599743891667057607574758807
absolute error = 7.1870057650640176934784958618278e-16
relative error = 1.4547534597319741030148336527744e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.438
Order of pole = 3.588
x[1] = -1.011
y[1] (analytic) = 0.49453024818989565906293441391489
y[1] (numeric) = 0.49453024818989493817897691357796
absolute error = 7.2088395750033693378189302893986e-16
relative error = 1.4577145890245388208759753135729e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 3.588
x[1] = -1.01
y[1] (analytic) = 0.49502499876243750309390624226523
y[1] (numeric) = 0.49502499876243678002590995811323
absolute error = 7.2306799628415200232748599807763e-16
relative error = 1.4606696592936154599017544647166e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.5MB, time=14.94
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 3.589
x[1] = -1.009
y[1] (analytic) = 0.4955202491872229112706576197883
y[1] (numeric) = 0.49552024918722218601802021722135
absolute error = 7.2525263740256695554392781726123e-16
relative error = 1.4636185677420097242110453933864e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.436
Order of pole = 3.59
x[1] = -1.008
y[1] (analytic) = 0.49601599949207961652011047268341
y[1] (numeric) = 0.49601599949207888908228559526332
absolute error = 7.2743782487742008270123687036450e-16
relative error = 1.4665612109736710416109864098145e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.435
Order of pole = 3.59
x[1] = -1.007
y[1] (analytic) = 0.49651224970196852211639339459963
y[1] (numeric) = 0.4965122497019677924928911896795
absolute error = 7.2962350220492013809286419703084e-16
relative error = 1.4694974849923171992057950431658e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.434
Order of pole = 3.591
x[1] = -1.006
y[1] (analytic) = 0.4970089998389690840521740167671
y[1] (numeric) = 0.49700899983896835224256166387019
absolute error = 7.3180961235289690544619255731972e-16
relative error = 1.4724272852000732780463354882593e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.434
Order of pole = 3.591
x[1] = -1.005
y[1] (analytic) = 0.49750624992226464844964614867974
y[1] (numeric) = 0.49750624992226391445354839062941
absolute error = 7.3399609775805033216829652907521e-16
relative error = 1.4753505063961251189165802308544e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.433
Order of pole = 3.592
x[1] = -1.004
y[1] (analytic) = 0.49800399996812774400203982438387
y[1] (numeric) = 0.49800399996812700781913950118547
absolute error = 7.3618290032319839739202329544277e-16
relative error = 1.4782670427753875531375410496218e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 3.593
x[1] = -1.003
y[1] (analytic) = 0.49850224998990532943770441707889
y[1] (numeric) = 0.49850224998990459106774300255501
absolute error = 7.3836996141452388003153344745934e-16
relative error = 1.4811767879271876340581763794045e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 3.593
x[1] = -1.002
y[1] (analytic) = 0.499000999998003996000007984016
y[1] (numeric) = 0.4990009999980032554427861251958
absolute error = 7.4055722185882019531702998396480e-16
relative error = 1.4840796348339631066961093559854e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.431
Order of pole = 3.594
x[1] = -1.001
y[1] (analytic) = 0.49950024999987512493750003121877
y[1] (numeric) = 0.4995002499998743821928780904823
absolute error = 7.4274462194073647055551359048169e-16
relative error = 1.4869754758699763547886087636579e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.43
Order of pole = 3.595
x[1] = -1
y[1] (analytic) = 0.5
y[1] (numeric) = 0.49999999999999925506789859997797
absolute error = 7.4493210140002203315804327670419e-16
relative error = 1.4898642028000440663160865534084e-13 %
h = 0.001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);
Iterations = 1000
Total Elapsed Time = 15 Seconds
Elapsed Time(since restart) = 15 Seconds
Expected Time Remaining = 30 Seconds
Optimized Time Remaining = 30 Seconds
Time to Timeout = 14 Minutes 44 Seconds
Percent Done = 33.37 %
> quit
memory used=215.7MB, alloc=4.5MB, time=15.08