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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> DEBUGL,
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_iter,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_max_iter,
> glob_log10_relerr,
> glob_hmin,
> djd_debug2,
> glob_warned,
> glob_display_flag,
> glob_subiter_method,
> glob_max_minutes,
> glob_no_eqs,
> glob_look_poles,
> glob_large_float,
> glob_clock_sec,
> hours_in_day,
> glob_max_opt_iter,
> glob_curr_iter_when_opt,
> glob_optimal_start,
> glob_hmin_init,
> glob_log10normmin,
> glob_orig_start_sec,
> glob_warned2,
> glob_small_float,
> glob_hmax,
> centuries_in_millinium,
> days_in_year,
> glob_html_log,
> glob_max_trunc_err,
> glob_max_hours,
> glob_last_good_h,
> glob_disp_incr,
> glob_optimal_done,
> glob_almost_1,
> glob_log10abserr,
> MAX_UNCHANGED,
> glob_abserr,
> glob_not_yet_start_msg,
> years_in_century,
> glob_optimal_expect_sec,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_reached_optimal_h,
> glob_not_yet_finished,
> glob_log10relerr,
> glob_optimal_clock_start_sec,
> glob_max_rel_trunc_err,
> glob_relerr,
> glob_initial_pass,
> sec_in_min,
> glob_percent_done,
> glob_max_sec,
> glob_clock_start_sec,
> djd_debug,
> glob_dump,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_h,
> min_in_hour,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_1st_rel_error,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_type_pole,
> array_last_rel_error,
> array_y_init,
> array_norms,
> array_m1,
> array_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_y_higher_work2,
> array_complex_pole,
> array_real_pole,
> array_poles,
> 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 DEBUGL, glob_iolevel, INFO, DEBUGMASSIVE, ALWAYS, glob_max_terms,
glob_iter, glob_current_iter, glob_start, glob_smallish_float,
glob_max_iter, glob_log10_relerr, glob_hmin, djd_debug2, glob_warned,
glob_display_flag, glob_subiter_method, glob_max_minutes, glob_no_eqs,
glob_look_poles, glob_large_float, glob_clock_sec, hours_in_day,
glob_max_opt_iter, glob_curr_iter_when_opt, glob_optimal_start,
glob_hmin_init, glob_log10normmin, glob_orig_start_sec, glob_warned2,
glob_small_float, glob_hmax, centuries_in_millinium, days_in_year,
glob_html_log, glob_max_trunc_err, glob_max_hours, glob_last_good_h,
glob_disp_incr, glob_optimal_done, glob_almost_1, glob_log10abserr,
MAX_UNCHANGED, glob_abserr, glob_not_yet_start_msg, years_in_century,
glob_optimal_expect_sec, glob_normmax, glob_unchanged_h_cnt,
glob_reached_optimal_h, glob_not_yet_finished, glob_log10relerr,
glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_relerr,
glob_initial_pass, sec_in_min, glob_percent_done, glob_max_sec,
glob_clock_start_sec, djd_debug, glob_dump, glob_log10_abserr,
glob_dump_analytic, glob_h, min_in_hour, array_const_1, array_const_0D0,
array_const_1D0, array_const_2D0, array_1st_rel_error, array_y, array_x,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5,
array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_type_pole,
array_last_rel_error, array_y_init, array_norms, array_m1, array_pole,
array_y_higher, array_y_set_initial, array_y_higher_work,
array_y_higher_work2, array_complex_pole, array_real_pole, array_poles,
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
> DEBUGL,
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_iter,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_max_iter,
> glob_log10_relerr,
> glob_hmin,
> djd_debug2,
> glob_warned,
> glob_display_flag,
> glob_subiter_method,
> glob_max_minutes,
> glob_no_eqs,
> glob_look_poles,
> glob_large_float,
> glob_clock_sec,
> hours_in_day,
> glob_max_opt_iter,
> glob_curr_iter_when_opt,
> glob_optimal_start,
> glob_hmin_init,
> glob_log10normmin,
> glob_orig_start_sec,
> glob_warned2,
> glob_small_float,
> glob_hmax,
> centuries_in_millinium,
> days_in_year,
> glob_html_log,
> glob_max_trunc_err,
> glob_max_hours,
> glob_last_good_h,
> glob_disp_incr,
> glob_optimal_done,
> glob_almost_1,
> glob_log10abserr,
> MAX_UNCHANGED,
> glob_abserr,
> glob_not_yet_start_msg,
> years_in_century,
> glob_optimal_expect_sec,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_reached_optimal_h,
> glob_not_yet_finished,
> glob_log10relerr,
> glob_optimal_clock_start_sec,
> glob_max_rel_trunc_err,
> glob_relerr,
> glob_initial_pass,
> sec_in_min,
> glob_percent_done,
> glob_max_sec,
> glob_clock_start_sec,
> djd_debug,
> glob_dump,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_h,
> min_in_hour,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_1st_rel_error,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_type_pole,
> array_last_rel_error,
> array_y_init,
> array_norms,
> array_m1,
> array_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_y_higher_work2,
> array_complex_pole,
> array_real_pole,
> array_poles,
> 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 DEBUGL, glob_iolevel, INFO, DEBUGMASSIVE, ALWAYS, glob_max_terms,
glob_iter, glob_current_iter, glob_start, glob_smallish_float,
glob_max_iter, glob_log10_relerr, glob_hmin, djd_debug2, glob_warned,
glob_display_flag, glob_subiter_method, glob_max_minutes, glob_no_eqs,
glob_look_poles, glob_large_float, glob_clock_sec, hours_in_day,
glob_max_opt_iter, glob_curr_iter_when_opt, glob_optimal_start,
glob_hmin_init, glob_log10normmin, glob_orig_start_sec, glob_warned2,
glob_small_float, glob_hmax, centuries_in_millinium, days_in_year,
glob_html_log, glob_max_trunc_err, glob_max_hours, glob_last_good_h,
glob_disp_incr, glob_optimal_done, glob_almost_1, glob_log10abserr,
MAX_UNCHANGED, glob_abserr, glob_not_yet_start_msg, years_in_century,
glob_optimal_expect_sec, glob_normmax, glob_unchanged_h_cnt,
glob_reached_optimal_h, glob_not_yet_finished, glob_log10relerr,
glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_relerr,
glob_initial_pass, sec_in_min, glob_percent_done, glob_max_sec,
glob_clock_start_sec, djd_debug, glob_dump, glob_log10_abserr,
glob_dump_analytic, glob_h, min_in_hour, array_const_1, array_const_0D0,
array_const_1D0, array_const_2D0, array_1st_rel_error, array_y, array_x,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5,
array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_type_pole,
array_last_rel_error, array_y_init, array_norms, array_m1, array_pole,
array_y_higher, array_y_set_initial, array_y_higher_work,
array_y_higher_work2, array_complex_pole, array_real_pole, array_poles,
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
> DEBUGL,
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_iter,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_max_iter,
> glob_log10_relerr,
> glob_hmin,
> djd_debug2,
> glob_warned,
> glob_display_flag,
> glob_subiter_method,
> glob_max_minutes,
> glob_no_eqs,
> glob_look_poles,
> glob_large_float,
> glob_clock_sec,
> hours_in_day,
> glob_max_opt_iter,
> glob_curr_iter_when_opt,
> glob_optimal_start,
> glob_hmin_init,
> glob_log10normmin,
> glob_orig_start_sec,
> glob_warned2,
> glob_small_float,
> glob_hmax,
> centuries_in_millinium,
> days_in_year,
> glob_html_log,
> glob_max_trunc_err,
> glob_max_hours,
> glob_last_good_h,
> glob_disp_incr,
> glob_optimal_done,
> glob_almost_1,
> glob_log10abserr,
> MAX_UNCHANGED,
> glob_abserr,
> glob_not_yet_start_msg,
> years_in_century,
> glob_optimal_expect_sec,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_reached_optimal_h,
> glob_not_yet_finished,
> glob_log10relerr,
> glob_optimal_clock_start_sec,
> glob_max_rel_trunc_err,
> glob_relerr,
> glob_initial_pass,
> sec_in_min,
> glob_percent_done,
> glob_max_sec,
> glob_clock_start_sec,
> djd_debug,
> glob_dump,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_h,
> min_in_hour,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_1st_rel_error,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_type_pole,
> array_last_rel_error,
> array_y_init,
> array_norms,
> array_m1,
> array_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_y_higher_work2,
> array_complex_pole,
> array_real_pole,
> array_poles,
> 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 DEBUGL, glob_iolevel, INFO, DEBUGMASSIVE, ALWAYS, glob_max_terms,
glob_iter, glob_current_iter, glob_start, glob_smallish_float,
glob_max_iter, glob_log10_relerr, glob_hmin, djd_debug2, glob_warned,
glob_display_flag, glob_subiter_method, glob_max_minutes, glob_no_eqs,
glob_look_poles, glob_large_float, glob_clock_sec, hours_in_day,
glob_max_opt_iter, glob_curr_iter_when_opt, glob_optimal_start,
glob_hmin_init, glob_log10normmin, glob_orig_start_sec, glob_warned2,
glob_small_float, glob_hmax, centuries_in_millinium, days_in_year,
glob_html_log, glob_max_trunc_err, glob_max_hours, glob_last_good_h,
glob_disp_incr, glob_optimal_done, glob_almost_1, glob_log10abserr,
MAX_UNCHANGED, glob_abserr, glob_not_yet_start_msg, years_in_century,
glob_optimal_expect_sec, glob_normmax, glob_unchanged_h_cnt,
glob_reached_optimal_h, glob_not_yet_finished, glob_log10relerr,
glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_relerr,
glob_initial_pass, sec_in_min, glob_percent_done, glob_max_sec,
glob_clock_start_sec, djd_debug, glob_dump, glob_log10_abserr,
glob_dump_analytic, glob_h, min_in_hour, array_const_1, array_const_0D0,
array_const_1D0, array_const_2D0, array_1st_rel_error, array_y, array_x,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5,
array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_type_pole,
array_last_rel_error, array_y_init, array_norms, array_m1, array_pole,
array_y_higher, array_y_set_initial, array_y_higher_work,
array_y_higher_work2, array_complex_pole, array_real_pole, array_poles,
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
> DEBUGL,
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_iter,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_max_iter,
> glob_log10_relerr,
> glob_hmin,
> djd_debug2,
> glob_warned,
> glob_display_flag,
> glob_subiter_method,
> glob_max_minutes,
> glob_no_eqs,
> glob_look_poles,
> glob_large_float,
> glob_clock_sec,
> hours_in_day,
> glob_max_opt_iter,
> glob_curr_iter_when_opt,
> glob_optimal_start,
> glob_hmin_init,
> glob_log10normmin,
> glob_orig_start_sec,
> glob_warned2,
> glob_small_float,
> glob_hmax,
> centuries_in_millinium,
> days_in_year,
> glob_html_log,
> glob_max_trunc_err,
> glob_max_hours,
> glob_last_good_h,
> glob_disp_incr,
> glob_optimal_done,
> glob_almost_1,
> glob_log10abserr,
> MAX_UNCHANGED,
> glob_abserr,
> glob_not_yet_start_msg,
> years_in_century,
> glob_optimal_expect_sec,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_reached_optimal_h,
> glob_not_yet_finished,
> glob_log10relerr,
> glob_optimal_clock_start_sec,
> glob_max_rel_trunc_err,
> glob_relerr,
> glob_initial_pass,
> sec_in_min,
> glob_percent_done,
> glob_max_sec,
> glob_clock_start_sec,
> djd_debug,
> glob_dump,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_h,
> min_in_hour,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_1st_rel_error,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_type_pole,
> array_last_rel_error,
> array_y_init,
> array_norms,
> array_m1,
> array_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_y_higher_work2,
> array_complex_pole,
> array_real_pole,
> array_poles,
> 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 DEBUGL, glob_iolevel, INFO, DEBUGMASSIVE, ALWAYS, glob_max_terms,
glob_iter, glob_current_iter, glob_start, glob_smallish_float,
glob_max_iter, glob_log10_relerr, glob_hmin, djd_debug2, glob_warned,
glob_display_flag, glob_subiter_method, glob_max_minutes, glob_no_eqs,
glob_look_poles, glob_large_float, glob_clock_sec, hours_in_day,
glob_max_opt_iter, glob_curr_iter_when_opt, glob_optimal_start,
glob_hmin_init, glob_log10normmin, glob_orig_start_sec, glob_warned2,
glob_small_float, glob_hmax, centuries_in_millinium, days_in_year,
glob_html_log, glob_max_trunc_err, glob_max_hours, glob_last_good_h,
glob_disp_incr, glob_optimal_done, glob_almost_1, glob_log10abserr,
MAX_UNCHANGED, glob_abserr, glob_not_yet_start_msg, years_in_century,
glob_optimal_expect_sec, glob_normmax, glob_unchanged_h_cnt,
glob_reached_optimal_h, glob_not_yet_finished, glob_log10relerr,
glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_relerr,
glob_initial_pass, sec_in_min, glob_percent_done, glob_max_sec,
glob_clock_start_sec, djd_debug, glob_dump, glob_log10_abserr,
glob_dump_analytic, glob_h, min_in_hour, array_const_1, array_const_0D0,
array_const_1D0, array_const_2D0, array_1st_rel_error, array_y, array_x,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5,
array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_type_pole,
array_last_rel_error, array_y_init, array_norms, array_m1, array_pole,
array_y_higher, array_y_set_initial, array_y_higher_work,
array_y_higher_work2, array_complex_pole, array_real_pole, array_poles,
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
> DEBUGL,
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_iter,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_max_iter,
> glob_log10_relerr,
> glob_hmin,
> djd_debug2,
> glob_warned,
> glob_display_flag,
> glob_subiter_method,
> glob_max_minutes,
> glob_no_eqs,
> glob_look_poles,
> glob_large_float,
> glob_clock_sec,
> hours_in_day,
> glob_max_opt_iter,
> glob_curr_iter_when_opt,
> glob_optimal_start,
> glob_hmin_init,
> glob_log10normmin,
> glob_orig_start_sec,
> glob_warned2,
> glob_small_float,
> glob_hmax,
> centuries_in_millinium,
> days_in_year,
> glob_html_log,
> glob_max_trunc_err,
> glob_max_hours,
> glob_last_good_h,
> glob_disp_incr,
> glob_optimal_done,
> glob_almost_1,
> glob_log10abserr,
> MAX_UNCHANGED,
> glob_abserr,
> glob_not_yet_start_msg,
> years_in_century,
> glob_optimal_expect_sec,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_reached_optimal_h,
> glob_not_yet_finished,
> glob_log10relerr,
> glob_optimal_clock_start_sec,
> glob_max_rel_trunc_err,
> glob_relerr,
> glob_initial_pass,
> sec_in_min,
> glob_percent_done,
> glob_max_sec,
> glob_clock_start_sec,
> djd_debug,
> glob_dump,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_h,
> min_in_hour,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_1st_rel_error,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_type_pole,
> array_last_rel_error,
> array_y_init,
> array_norms,
> array_m1,
> array_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_y_higher_work2,
> array_complex_pole,
> array_real_pole,
> array_poles,
> 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 DEBUGL, glob_iolevel, INFO, DEBUGMASSIVE, ALWAYS, glob_max_terms,
glob_iter, glob_current_iter, glob_start, glob_smallish_float,
glob_max_iter, glob_log10_relerr, glob_hmin, djd_debug2, glob_warned,
glob_display_flag, glob_subiter_method, glob_max_minutes, glob_no_eqs,
glob_look_poles, glob_large_float, glob_clock_sec, hours_in_day,
glob_max_opt_iter, glob_curr_iter_when_opt, glob_optimal_start,
glob_hmin_init, glob_log10normmin, glob_orig_start_sec, glob_warned2,
glob_small_float, glob_hmax, centuries_in_millinium, days_in_year,
glob_html_log, glob_max_trunc_err, glob_max_hours, glob_last_good_h,
glob_disp_incr, glob_optimal_done, glob_almost_1, glob_log10abserr,
MAX_UNCHANGED, glob_abserr, glob_not_yet_start_msg, years_in_century,
glob_optimal_expect_sec, glob_normmax, glob_unchanged_h_cnt,
glob_reached_optimal_h, glob_not_yet_finished, glob_log10relerr,
glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_relerr,
glob_initial_pass, sec_in_min, glob_percent_done, glob_max_sec,
glob_clock_start_sec, djd_debug, glob_dump, glob_log10_abserr,
glob_dump_analytic, glob_h, min_in_hour, array_const_1, array_const_0D0,
array_const_1D0, array_const_2D0, array_1st_rel_error, array_y, array_x,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5,
array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_type_pole,
array_last_rel_error, array_y_init, array_norms, array_m1, array_pole,
array_y_higher, array_y_set_initial, array_y_higher_work,
array_y_higher_work2, array_complex_pole, array_real_pole, array_poles,
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
> DEBUGL,
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_iter,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_max_iter,
> glob_log10_relerr,
> glob_hmin,
> djd_debug2,
> glob_warned,
> glob_display_flag,
> glob_subiter_method,
> glob_max_minutes,
> glob_no_eqs,
> glob_look_poles,
> glob_large_float,
> glob_clock_sec,
> hours_in_day,
> glob_max_opt_iter,
> glob_curr_iter_when_opt,
> glob_optimal_start,
> glob_hmin_init,
> glob_log10normmin,
> glob_orig_start_sec,
> glob_warned2,
> glob_small_float,
> glob_hmax,
> centuries_in_millinium,
> days_in_year,
> glob_html_log,
> glob_max_trunc_err,
> glob_max_hours,
> glob_last_good_h,
> glob_disp_incr,
> glob_optimal_done,
> glob_almost_1,
> glob_log10abserr,
> MAX_UNCHANGED,
> glob_abserr,
> glob_not_yet_start_msg,
> years_in_century,
> glob_optimal_expect_sec,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_reached_optimal_h,
> glob_not_yet_finished,
> glob_log10relerr,
> glob_optimal_clock_start_sec,
> glob_max_rel_trunc_err,
> glob_relerr,
> glob_initial_pass,
> sec_in_min,
> glob_percent_done,
> glob_max_sec,
> glob_clock_start_sec,
> djd_debug,
> glob_dump,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_h,
> min_in_hour,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_1st_rel_error,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_type_pole,
> array_last_rel_error,
> array_y_init,
> array_norms,
> array_m1,
> array_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_y_higher_work2,
> array_complex_pole,
> array_real_pole,
> array_poles,
> 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 DEBUGL, glob_iolevel, INFO, DEBUGMASSIVE, ALWAYS, glob_max_terms,
glob_iter, glob_current_iter, glob_start, glob_smallish_float,
glob_max_iter, glob_log10_relerr, glob_hmin, djd_debug2, glob_warned,
glob_display_flag, glob_subiter_method, glob_max_minutes, glob_no_eqs,
glob_look_poles, glob_large_float, glob_clock_sec, hours_in_day,
glob_max_opt_iter, glob_curr_iter_when_opt, glob_optimal_start,
glob_hmin_init, glob_log10normmin, glob_orig_start_sec, glob_warned2,
glob_small_float, glob_hmax, centuries_in_millinium, days_in_year,
glob_html_log, glob_max_trunc_err, glob_max_hours, glob_last_good_h,
glob_disp_incr, glob_optimal_done, glob_almost_1, glob_log10abserr,
MAX_UNCHANGED, glob_abserr, glob_not_yet_start_msg, years_in_century,
glob_optimal_expect_sec, glob_normmax, glob_unchanged_h_cnt,
glob_reached_optimal_h, glob_not_yet_finished, glob_log10relerr,
glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_relerr,
glob_initial_pass, sec_in_min, glob_percent_done, glob_max_sec,
glob_clock_start_sec, djd_debug, glob_dump, glob_log10_abserr,
glob_dump_analytic, glob_h, min_in_hour, array_const_1, array_const_0D0,
array_const_1D0, array_const_2D0, array_1st_rel_error, array_y, array_x,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5,
array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_type_pole,
array_last_rel_error, array_y_init, array_norms, array_m1, array_pole,
array_y_higher, array_y_set_initial, array_y_higher_work,
array_y_higher_work2, array_complex_pole, array_real_pole, array_poles,
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
> DEBUGL,
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> glob_iter,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_max_iter,
> glob_log10_relerr,
> glob_hmin,
> djd_debug2,
> glob_warned,
> glob_display_flag,
> glob_subiter_method,
> glob_max_minutes,
> glob_no_eqs,
> glob_look_poles,
> glob_large_float,
> glob_clock_sec,
> hours_in_day,
> glob_max_opt_iter,
> glob_curr_iter_when_opt,
> glob_optimal_start,
> glob_hmin_init,
> glob_log10normmin,
> glob_orig_start_sec,
> glob_warned2,
> glob_small_float,
> glob_hmax,
> centuries_in_millinium,
> days_in_year,
> glob_html_log,
> glob_max_trunc_err,
> glob_max_hours,
> glob_last_good_h,
> glob_disp_incr,
> glob_optimal_done,
> glob_almost_1,
> glob_log10abserr,
> MAX_UNCHANGED,
> glob_abserr,
> glob_not_yet_start_msg,
> years_in_century,
> glob_optimal_expect_sec,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_reached_optimal_h,
> glob_not_yet_finished,
> glob_log10relerr,
> glob_optimal_clock_start_sec,
> glob_max_rel_trunc_err,
> glob_relerr,
> glob_initial_pass,
> sec_in_min,
> glob_percent_done,
> glob_max_sec,
> glob_clock_start_sec,
> djd_debug,
> glob_dump,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_h,
> min_in_hour,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_1D0,
> array_const_2D0,
> #END CONST
> array_1st_rel_error,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_type_pole,
> array_last_rel_error,
> array_y_init,
> array_norms,
> array_m1,
> array_pole,
> array_y_higher,
> array_y_set_initial,
> array_y_higher_work,
> array_y_higher_work2,
> array_complex_pole,
> array_real_pole,
> array_poles,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> DEBUGL := 3;
> glob_iolevel := 5;
> INFO := 2;
> DEBUGMASSIVE := 4;
> ALWAYS := 1;
> glob_max_terms := 30;
> glob_iter := 0;
> glob_current_iter := 0;
> glob_start := 0;
> glob_smallish_float := 0.1e-100;
> glob_max_iter := 1000;
> glob_log10_relerr := 0.1e-10;
> glob_hmin := 0.00000000001;
> djd_debug2 := true;
> glob_warned := false;
> glob_display_flag := true;
> glob_subiter_method := 3;
> glob_max_minutes := 0.0;
> glob_no_eqs := 0;
> glob_look_poles := false;
> glob_large_float := 9.0e100;
> glob_clock_sec := 0.0;
> hours_in_day := 24.0;
> glob_max_opt_iter := 10;
> glob_curr_iter_when_opt := 0;
> glob_optimal_start := 0.0;
> glob_hmin_init := 0.001;
> glob_log10normmin := 0.1;
> glob_orig_start_sec := 0.0;
> glob_warned2 := false;
> glob_small_float := 0.1e-50;
> glob_hmax := 1.0;
> centuries_in_millinium := 10.0;
> days_in_year := 365.0;
> glob_html_log := true;
> glob_max_trunc_err := 0.1e-10;
> glob_max_hours := 0.0;
> glob_last_good_h := 0.1;
> glob_disp_incr := 0.1;
> glob_optimal_done := false;
> glob_almost_1 := 0.9990;
> glob_log10abserr := 0.0;
> MAX_UNCHANGED := 10;
> glob_abserr := 0.1e-10;
> glob_not_yet_start_msg := true;
> years_in_century := 100.0;
> glob_optimal_expect_sec := 0.1;
> glob_normmax := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_reached_optimal_h := false;
> glob_not_yet_finished := true;
> glob_log10relerr := 0.0;
> glob_optimal_clock_start_sec := 0.0;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_initial_pass := true;
> sec_in_min := 60.0;
> glob_percent_done := 0.0;
> glob_max_sec := 10000.0;
> glob_clock_start_sec := 0.0;
> djd_debug := true;
> glob_dump := false;
> glob_log10_abserr := 0.1e-10;
> glob_dump_analytic := false;
> glob_h := 0.1;
> min_in_hour := 60.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/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 := 0.0001 ;");
> 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_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_y:= Array(1..(max_terms + 1),[]);
> array_x:= 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_type_pole:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_y_init:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_tmp4[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_type_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_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[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
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_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 <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=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 <=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
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> 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_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_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_0D0[1] := 0.0;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1D0[1] := 1.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2D0[1] := 2.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #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 := 0.0001 ;
> 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,"2012-06-13T18:43:56-05:00")
> ;
> 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 DEBUGL, glob_iolevel, INFO, DEBUGMASSIVE, ALWAYS, glob_max_terms,
glob_iter, glob_current_iter, glob_start, glob_smallish_float,
glob_max_iter, glob_log10_relerr, glob_hmin, djd_debug2, glob_warned,
glob_display_flag, glob_subiter_method, glob_max_minutes, glob_no_eqs,
glob_look_poles, glob_large_float, glob_clock_sec, hours_in_day,
glob_max_opt_iter, glob_curr_iter_when_opt, glob_optimal_start,
glob_hmin_init, glob_log10normmin, glob_orig_start_sec, glob_warned2,
glob_small_float, glob_hmax, centuries_in_millinium, days_in_year,
glob_html_log, glob_max_trunc_err, glob_max_hours, glob_last_good_h,
glob_disp_incr, glob_optimal_done, glob_almost_1, glob_log10abserr,
MAX_UNCHANGED, glob_abserr, glob_not_yet_start_msg, years_in_century,
glob_optimal_expect_sec, glob_normmax, glob_unchanged_h_cnt,
glob_reached_optimal_h, glob_not_yet_finished, glob_log10relerr,
glob_optimal_clock_start_sec, glob_max_rel_trunc_err, glob_relerr,
glob_initial_pass, sec_in_min, glob_percent_done, glob_max_sec,
glob_clock_start_sec, djd_debug, glob_dump, glob_log10_abserr,
glob_dump_analytic, glob_h, min_in_hour, array_const_1, array_const_0D0,
array_const_1D0, array_const_2D0, array_1st_rel_error, array_y, array_x,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5,
array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_type_pole,
array_last_rel_error, array_y_init, array_norms, array_m1, array_pole,
array_y_higher, array_y_set_initial, array_y_higher_work,
array_y_higher_work2, array_complex_pole, array_real_pole, array_poles,
glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
DEBUGL := 3;
glob_iolevel := 5;
INFO := 2;
DEBUGMASSIVE := 4;
ALWAYS := 1;
glob_max_terms := 30;
glob_iter := 0;
glob_current_iter := 0;
glob_start := 0;
glob_smallish_float := 0.1*10^(-100);
glob_max_iter := 1000;
glob_log10_relerr := 0.1*10^(-10);
glob_hmin := 0.1*10^(-10);
djd_debug2 := true;
glob_warned := false;
glob_display_flag := true;
glob_subiter_method := 3;
glob_max_minutes := 0.;
glob_no_eqs := 0;
glob_look_poles := false;
glob_large_float := 0.90*10^101;
glob_clock_sec := 0.;
hours_in_day := 24.0;
glob_max_opt_iter := 10;
glob_curr_iter_when_opt := 0;
glob_optimal_start := 0.;
glob_hmin_init := 0.001;
glob_log10normmin := 0.1;
glob_orig_start_sec := 0.;
glob_warned2 := false;
glob_small_float := 0.1*10^(-50);
glob_hmax := 1.0;
centuries_in_millinium := 10.0;
days_in_year := 365.0;
glob_html_log := true;
glob_max_trunc_err := 0.1*10^(-10);
glob_max_hours := 0.;
glob_last_good_h := 0.1;
glob_disp_incr := 0.1;
glob_optimal_done := false;
glob_almost_1 := 0.9990;
glob_log10abserr := 0.;
MAX_UNCHANGED := 10;
glob_abserr := 0.1*10^(-10);
glob_not_yet_start_msg := true;
years_in_century := 100.0;
glob_optimal_expect_sec := 0.1;
glob_normmax := 0.;
glob_unchanged_h_cnt := 0;
glob_reached_optimal_h := false;
glob_not_yet_finished := true;
glob_log10relerr := 0.;
glob_optimal_clock_start_sec := 0.;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_initial_pass := true;
sec_in_min := 60.0;
glob_percent_done := 0.;
glob_max_sec := 10000.0;
glob_clock_start_sec := 0.;
djd_debug := true;
glob_dump := false;
glob_log10_abserr := 0.1*10^(-10);
glob_dump_analytic := false;
glob_h := 0.1;
min_in_hour := 60.0;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/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 := 0.0001 ;");
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_1st_rel_error := Array(1 .. max_terms + 1, []);
array_y := Array(1 .. max_terms + 1, []);
array_x := 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_type_pole := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_y_init := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 2, 1 .. 4, []);
array_real_pole := Array(1 .. 2, 1 .. 4, []);
array_poles := Array(1 .. 2, 1 .. 4, []);
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[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_type_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_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 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 <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 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_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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
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 := 0.0001;
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, "2012-06-13T18:43:56-05:00");
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 := 0.0001 ;
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 = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.572
x[1] = -1.9999
y[1] (analytic) = 0.20001600088003840131202815962871
y[1] (numeric) = 0.20001600088003840131202814663258
absolute error = 1.299612915477496758365330e-26
relative error = 6.4975447452174219478982714516533e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.572
x[1] = -1.9998
y[1] (analytic) = 0.20003200352030722099290109623219
y[1] (numeric) = 0.20003200352030722099290107021885
absolute error = 2.601334060465285245783901e-26
relative error = 1.3004589339131416419334287710556e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.572
x[1] = -1.9997
y[1] (analytic) = 0.20004800792103690627884260920704
y[1] (numeric) = 0.2000480079210369062788425701554
absolute error = 3.905164638857162913662054e-26
relative error = 1.9521137348184003469958537764785e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.571
x[1] = -1.9996
y[1] (analytic) = 0.20006401408245793590083431815511
y[1] (numeric) = 0.20006401408245793590083426604405
absolute error = 5.211105855110177982476668e-26
relative error = 2.6047192339959650445239854527467e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.571
x[1] = -1.9995
y[1] (analytic) = 0.2000800220048008200879941932776
y[1] (numeric) = 0.20008002200480082008799412808601
absolute error = 6.519158914244863325265478e-26
relative error = 3.2582757883185555460892690360370e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.571
x[1] = -1.9994
y[1] (analytic) = 0.20009603168829610057095481720351
y[1] (numeric) = 0.20009603168829610057095473891026
absolute error = 7.829325021845470432994178e-26
relative error = 3.9127837547731930900301059850704e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9993
y[1] (analytic) = 0.20011204313317435058524137781792
y[1] (numeric) = 0.20011204313317435058524128640187
absolute error = 9.141605384060203461817128e-26
relative error = 4.5682434904612286928892248331993e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9992
y[1] (analytic) = 0.20012805633966617487464939165554
y[1] (numeric) = 0.20012805633966617487464928709553
absolute error = 1.0456001207601453362248512e-25
relative error = 5.2246553525983715025413516600648e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9991
y[1] (analytic) = 0.20014407130800220969462215742456
y[1] (numeric) = 0.20014407130800220969462203969942
absolute error = 1.1772513699746032090260748e-25
relative error = 5.8820196985147171530064794418406e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.999
y[1] (analytic) = 0.20016008803841312281562793922579
y[1] (numeric) = 0.20016008803841312281562780831435
absolute error = 1.3091144068335406900326967e-25
relative error = 6.5403368856547761209440427458967e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
memory used=3.8MB, alloc=3.0MB, time=0.22
x[1] = -1.9989
y[1] (analytic) = 0.20017610653112961352653687903162
y[1] (numeric) = 0.20017610653112961352653673491269
absolute error = 1.4411893521775934720424370e-25
relative error = 7.1996072715775020838232994485488e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9988
y[1] (analytic) = 0.20019212678638241263799763798915
y[1] (numeric) = 0.20019212678638241263799748064152
absolute error = 1.5734763269039096609015244e-25
relative error = 7.8598312139563202797652063810751e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9987
y[1] (analytic) = 0.2002081488044022824858137661117
y[1] (numeric) = 0.20020814880440228248581359551416
absolute error = 1.7059754519661732294022435e-25
relative error = 8.5210090705791558690510835235915e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9986
y[1] (analytic) = 0.20022417258542001693431979992255
y[1] (numeric) = 0.20022417258542001693431961605387
absolute error = 1.8386868483746274793816051e-25
relative error = 9.1831411993484622972933480993860e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9985
y[1] (analytic) = 0.20024019812966644137975708761445
y[1] (numeric) = 0.20024019812966644137975689045338
absolute error = 1.9716106371960985120228160e-25
relative error = 9.8462279582812496602635951553360e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9984
y[1] (analytic) = 0.20025622543737241275364934128839
y[1] (numeric) = 0.20025622543737241275364913081369
absolute error = 2.1047469395540187063612257e-25
relative error = 1.0510269705509113070373304940258e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.9983
y[1] (analytic) = 0.2002722545087688195261779158347
y[1] (numeric) = 0.20027225450876881952617769202511
absolute error = 2.2380958766284502059964243e-25
relative error = 1.1175266799278261024802441144426e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9982
y[1] (analytic) = 0.20028828534408658170955681401937
y[1] (numeric) = 0.20028828534408658170955657685362
absolute error = 2.3716575696561084140121657e-25
relative error = 1.1841219597949543775271202306377e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9981
y[1] (analytic) = 0.2003043179435566508614074173382
y[1] (numeric) = 0.20030431794355665086140716679498
absolute error = 2.5054321399303854961057924e-25
relative error = 1.2508128459998481699450198919671e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.998
y[1] (analytic) = 0.20032035230741001008813294220117
y[1] (numeric) = 0.2003203523074100100881326782592
absolute error = 2.6394197088013738919288308e-25
relative error = 1.3175993744015293674004291068923e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9979
y[1] (analytic) = 0.2003363884358776740482926210092
y[1] (numeric) = 0.20033638843587767404829234364716
absolute error = 2.7736203976758898346404324e-25
relative error = 1.3844815808704925449265353132147e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9978
y[1] (analytic) = 0.20035242632919068895597560768514
y[1] (numeric) = 0.2003524263291906889559753168817
absolute error = 2.9080343280174968786753309e-25
relative error = 1.4514595012887078025529204376682e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9977
y[1] (analytic) = 0.20036846598758013258417460722055
y[1] (numeric) = 0.20036846598758013258417430295439
absolute error = 3.0426616213465294357279853e-25
relative error = 1.5185331715496236030971944036282e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9976
y[1] (analytic) = 0.20038450741127711426815922879986
y[1] (numeric) = 0.20038450741127711426815891104962
absolute error = 3.1775023992401163189545786e-25
relative error = 1.5857026275581696101180926223813e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9975
y[1] (analytic) = 0.2004005506005127749088490620628
y[1] (numeric) = 0.20040055060051277490884873080712
absolute error = 3.3125567833322042953945420e-25
relative error = 1.6529679052307595260295610795888e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9974
y[1] (analytic) = 0.2004165955555182869761864760661
y[1] (numeric) = 0.20041659555551828697618613128361
absolute error = 3.4478248953135816466132707e-25
relative error = 1.7203290404952939303753506590430e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.9973
y[1] (analytic) = 0.20043264227652485451250914050516
y[1] (numeric) = 0.20043264227652485451250878217448
absolute error = 3.5833068569319017375676998e-25
relative error = 1.7877860692911631182636434710692e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
memory used=7.6MB, alloc=4.1MB, time=0.48
x[1] = -1.9972
y[1] (analytic) = 0.2004486907637637131359222687559
y[1] (numeric) = 0.20044869076376371313592189685562
absolute error = 3.7190027899917065936964062e-25
relative error = 1.8553390275692499389612325830385e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9971
y[1] (analytic) = 0.20046474101746613004367058229701
y[1] (numeric) = 0.20046474101746613004367019680573
absolute error = 3.8549128163544504862359010e-25
relative error = 1.9229879512919326346467757792327e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.997
y[1] (analytic) = 0.20048079303786340401550999607258
y[1] (numeric) = 0.20048079303786340401550959696888
absolute error = 3.9910370579385235257647786e-25
relative error = 1.9907328764330876793226447539807e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9969
y[1] (analytic) = 0.20049684682518686541707902435451
y[1] (numeric) = 0.20049684682518686541707861161695
absolute error = 4.1273756367192752639773846e-25
relative error = 2.0585738389780926178848890253626e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9968
y[1] (analytic) = 0.20051290237966787620326990666429
y[1] (numeric) = 0.20051290237966787620326948027142
absolute error = 4.2639286747290383036886665e-25
relative error = 2.1265108749238289053508347340745e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9967
y[1] (analytic) = 0.20052895970153782992159945331314
y[1] (numeric) = 0.20052895970153782992159901324351
absolute error = 4.4006962940571519170718688e-25
relative error = 2.1945440202786847462438372244491e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9966
y[1] (analytic) = 0.20054501879102815171557961011947
y[1] (numeric) = 0.2005450187910281517155791563516
absolute error = 4.5376786168499856721307336e-25
relative error = 2.2626733110625579341347059854320e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9965
y[1] (analytic) = 0.20056107964837029832808774186225
y[1] (numeric) = 0.20056107964837029832808727437467
absolute error = 4.6748757653109630674078668e-25
relative error = 2.3308987833068586913393199611168e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9964
y[1] (analytic) = 0.20057714227379575810473663402865
y[1] (numeric) = 0.20057714227379575810473615279986
absolute error = 4.8122878617005851749309308e-25
relative error = 2.3992204730545125087719515701343e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9963
y[1] (analytic) = 0.20059320666753605099724421241409
y[1] (numeric) = 0.20059320666753605099724371742259
absolute error = 4.9499150283364542913983202e-25
relative error = 2.4676384163599629859538155104044e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.9962
y[1] (analytic) = 0.2006092728298227285668029801326
y[1] (numeric) = 0.20060927282982272856680247135686
absolute error = 5.0877573875932975976059803e-25
relative error = 2.5361526492891746711763600029796e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9961
y[1] (analytic) = 0.200625340760887373987449171595
y[1] (numeric) = 0.20062534076088737398744864901349
absolute error = 5.2258150619029908261170229e-25
relative error = 2.6047632079196359018188154182678e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.996
y[1] (analytic) = 0.20064141046096160204943162301245
y[1] (numeric) = 0.20064141046096160204943108660363
absolute error = 5.3640881737545819371757995e-25
relative error = 2.6734701283403616448195179520792e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9959
y[1] (analytic) = 0.2006574819302770591625803589823
y[1] (numeric) = 0.20065748193027705916257980872461
absolute error = 5.5025768456943148028680822e-25
relative error = 2.7422734466518963373005210664382e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9958
y[1] (analytic) = 0.20067355516906542335967489471321
y[1] (numeric) = 0.20067355516906542335967433058509
absolute error = 5.6412812003256528995290107e-25
relative error = 2.8111731989663167273450113811989e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9957
y[1] (analytic) = 0.20068963017755840429981225344614
y[1] (numeric) = 0.20068963017755840429981167542601
absolute error = 5.7802013603093030084004566e-25
relative error = 2.8801694214072347149270420470923e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9956
y[1] (analytic) = 0.20070570695598774327177469862754
y[1] (numeric) = 0.20070570695598774327177410669379
absolute error = 5.9193374483632389245394584e-25
relative error = 2.9492621501098001929930976616075e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9955
y[1] (analytic) = 0.20072178550458521319739718039083
y[1] (numeric) = 0.20072178550458521319739657452187
absolute error = 6.0586895872627251739793795e-25
relative error = 3.0184514212207038886950041751435e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.2MB, time=0.76
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9954
y[1] (analytic) = 0.20073786582358261863493449590213
y[1] (numeric) = 0.20073786582358261863493387607634
absolute error = 6.1982578998403407391454390e-25
relative error = 3.0877372708981802047736959239889e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9953
y[1] (analytic) = 0.20075394791321179578242816312573
y[1] (numeric) = 0.20075394791321179578242752932148
absolute error = 6.3380425089860027925262664e-25
relative error = 3.1571197353120100610933525096905e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9952
y[1] (analytic) = 0.20077003177370461248107300756463
y[1] (numeric) = 0.20077003177370461248107235976028
absolute error = 6.4780435376469904386031284e-25
relative error = 3.2265988506435237363254167350798e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.9951
y[1] (analytic) = 0.20078611740529296821858346153142
y[1] (numeric) = 0.20078611740529296821858279970531
absolute error = 6.6182611088279684640384774e-25
relative error = 3.2961746530856037097820054406802e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.57
x[1] = -1.995
y[1] (analytic) = 0.20080220480820879413255957550414
y[1] (numeric) = 0.2008022048082087941325588996346
absolute error = 6.7586953455910110961254681e-25
relative error = 3.3658471788426875033982234274702e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.57
x[1] = -1.9949
y[1] (analytic) = 0.20081829398268405301385274112182
y[1] (numeric) = 0.20081829398268405301385205118718
absolute error = 6.8993463710556257695000887e-25
relative error = 3.4356164641307705238628906387827e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.57
x[1] = -1.9948
y[1] (analytic) = 0.20083438492895073930993112537403
y[1] (numeric) = 0.2008343849289507393099304213526
absolute error = 7.0402143083987769011175536e-25
relative error = 3.5054825451774089048971929103769e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.9947
y[1] (analytic) = 0.20085047764724087912824481553851
y[1] (numeric) = 0.20085047764724087912824409740858
absolute error = 7.1812992808549096734946010e-25
relative error = 3.5754454582217223496807647922142e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.9946
y[1] (analytic) = 0.20086657213778653023959067442068
y[1] (numeric) = 0.20086657213778653023958994216054
absolute error = 7.3226014117159738262193405e-25
relative error = 3.6455052395143969734247137301169e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.9945
y[1] (analytic) = 0.2008826684008197820814769054487
y[1] (numeric) = 0.20088266840081978208147615903661
absolute error = 7.4641208243314474557302929e-25
relative error = 3.7156619253176881460910933897560e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.9944
y[1] (analytic) = 0.20089876643657275576148732717724
y[1] (numeric) = 0.20089876643657275576148656659147
absolute error = 7.6058576421083608233662651e-25
relative error = 3.7859155519054233352583341927834e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.9943
y[1] (analytic) = 0.20091486624527760406064535675327
y[1] (numeric) = 0.20091486624527760406064458197207
absolute error = 7.7478119885113201716887009e-25
relative error = 3.8562661555630049491321380285372e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.9942
y[1] (analytic) = 0.20093096782716651143677770189642
y[1] (numeric) = 0.20093096782716651143677691289802
absolute error = 7.8899839870625315490781486e-25
relative error = 3.9267137725874131797013440941399e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.9941
y[1] (analytic) = 0.2009470711824716940278777609467
y[1] (numeric) = 0.20094707118247169402787695770932
absolute error = 8.0323737613418246426064842e-25
relative error = 3.9972584392872088460382717104595e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.569
x[1] = -1.994
y[1] (analytic) = 0.20096317631142539965546873053169
y[1] (numeric) = 0.20096317631142539965546791303355
absolute error = 8.1749814349866766191865303e-25
relative error = 4.0679001919825362377430465487891e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9939
y[1] (analytic) = 0.20097928321425990782796642040548
y[1] (numeric) = 0.20097928321425990782796558862476
absolute error = 8.3178071316922359750007062e-25
relative error = 4.1386390670051259585314143544998e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9938
y[1] (analytic) = 0.20099539189120752974404177501089
y[1] (numeric) = 0.20099539189120752974404092892579
absolute error = 8.4608509752113463932103491e-25
relative error = 4.2094751006982977699655483848139e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.3MB, time=1.03
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9937
y[1] (analytic) = 0.20101150234250060829598310131678
y[1] (numeric) = 0.20101150234250060829598224090547
absolute error = 8.6041130893545706099473389e-25
relative error = 4.2804083294169634353273530369601e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9936
y[1] (analytic) = 0.20102761456837151807305800248155
y[1] (numeric) = 0.20102761456837151807305712772219
absolute error = 8.7475935979902142885896652e-25
relative error = 4.3514387895276295636337691203567e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9935
y[1] (analytic) = 0.20104372856905266536487501689396
y[1] (numeric) = 0.20104372856905266536487412776469
absolute error = 8.8912926250443499023225677e-25
relative error = 4.4225665174084004537935824868285e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9934
y[1] (analytic) = 0.201059844344776488164744962142
y[1] (numeric) = 0.20105984434477648816474405862097
absolute error = 9.0352102945008406249868860e-25
relative error = 4.4937915494489809389052400638354e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9933
y[1] (analytic) = 0.20107596189577545617304198346042
y[1] (numeric) = 0.20107596189577545617304106552575
absolute error = 9.1793467304013642302162483e-25
relative error = 4.5651139220506792306951740452946e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9932
y[1] (analytic) = 0.20109208122228207080056430620706
y[1] (numeric) = 0.20109208122228207080056337383686
absolute error = 9.3237020568454369988647335e-25
relative error = 4.6365336716264097640961374254077e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9931
y[1] (analytic) = 0.20110820232452886517189469191813
y[1] (numeric) = 0.20110820232452886517189374509049
absolute error = 9.4682763979904376347266356e-25
relative error = 4.7080508346006960419650512192561e-22 %
h = 0.0001
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) = 0.20112432520274840412875963618511
absolute error = 9.6130698780516311885499595e-25
relative error = 4.7796654474096734799398637582016e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.9929
y[1] (analytic) = 0.20114044985717328423339403705177
y[1] (numeric) = 0.20114044985717328423339306124351
absolute error = 9.7580826213021929903452794e-25
relative error = 4.8513775465010922514349234370575e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.569
x[1] = -1.9928
y[1] (analytic) = 0.20115657628803613377189114603375
y[1] (numeric) = 0.20115657628803613377189015570228
absolute error = 9.9033147520732325899915847e-25
relative error = 4.9231871683343201327743631024391e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.569
x[1] = -1.9927
y[1] (analytic) = 0.20117270449556961275757144705431
y[1] (numeric) = 0.20117270449556961275757044217768
absolute error = 1.00487663947538177061407437e-24
relative error = 4.9950943493803453484629969024192e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.569
x[1] = -1.9926
y[1] (analytic) = 0.20118883448000641293433681710041
y[1] (numeric) = 0.20118883448000641293433579765665
absolute error = 1.01944376737909981834222080e-24
relative error = 5.0670991261217794165942266843310e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.569
x[1] = -1.9925
y[1] (analytic) = 0.20120496624157925778003015559432
y[1] (numeric) = 0.20120496624157925778002912156144
absolute error = 1.03403287136898299579495849e-24
relative error = 5.1392015350528599943944571617151e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.569
x[1] = -1.9924
y[1] (analytic) = 0.20122109978052090250979375288008
y[1] (numeric) = 0.20122109978052090250979270423611
absolute error = 1.04864396390133990311307012e-24
relative error = 5.2114016126794537239035170792821e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.569
x[1] = -1.9923
y[1] (analytic) = 0.20123723509706413407942735867985
y[1] (numeric) = 0.20123723509706413407942629540279
absolute error = 1.06327705743828454517827819e-24
relative error = 5.2836993955190590777905836018619e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.568
x[1] = -1.9922
y[1] (analytic) = 0.2012533721914417711887459500677
y[1] (numeric) = 0.20125337219144177118874487213554
absolute error = 1.07793216444773873065543671e-24
relative error = 5.3560949201008092053051070014174e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.568
x[1] = -1.9921
y[1] (analytic) = 0.20126951106388666428493719850846
y[1] (numeric) = 0.20126951106388666428493610589916
absolute error = 1.09260929740343447186555862e-24
relative error = 5.4285882229654747783622305771215e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.568
x[1] = -1.992
y[1] (analytic) = 0.20128565171463169556591863550872
y[1] (numeric) = 0.20128565171463169556591752820025
absolute error = 1.10730846878491638548984136e-24
relative error = 5.5011793406654668377622032263270e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.3MB, time=1.30
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.568
x[1] = -1.9919
y[1] (analytic) = 0.201301794143909778983694516427
y[1] (numeric) = 0.20130179414390977898369339439731
absolute error = 1.12202969107754409410485219e-24
relative error = 5.5738683097648396395432779583962e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9918
y[1] (analytic) = 0.20131793835195386024771238198974
y[1] (numeric) = 0.20131793835195386024771124521676
absolute error = 1.13677297677249462854903542e-24
relative error = 5.6466551668392935014675923753656e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9917
y[1] (analytic) = 0.20133408433899691682821931705952
y[1] (numeric) = 0.20133408433899691682821816552119
absolute error = 1.15153833836676483112070317e-24
relative error = 5.7195399484761776496395244099974e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9916
y[1] (analytic) = 0.20135023210527195795961790620178
y[1] (numeric) = 0.201350232105271957959616739876
absolute error = 1.16632578836317375960767143e-24
relative error = 5.7925226912744930652560173072481e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9915
y[1] (analytic) = 0.2013663816510120246438218855958
y[1] (numeric) = 0.20136638165101202464382070446047
absolute error = 1.18113533927036509214870301e-24
relative error = 5.8656034318448953314883668914525e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9914
y[1] (analytic) = 0.20138253297645018965361149083578
y[1] (numeric) = 0.20138253297645018965361029486877
absolute error = 1.19596700360280953292691878e-24
relative error = 5.9387822068096974804949631688810e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9913
y[1] (analytic) = 0.20139868608181955753598850016725
y[1] (numeric) = 0.20139868608181955753598728934645
absolute error = 1.21082079388080721869533886e-24
relative error = 6.0120590528028728405644795578703e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9912
y[1] (analytic) = 0.20141484096735326461553097270413
y[1] (numeric) = 0.20141484096735326461552974700741
absolute error = 1.22569672263049012613471476e-24
relative error = 6.0854340064700578833889997127590e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9911
y[1] (analytic) = 0.20143099763328447899774768117117
y[1] (numeric) = 0.20143099763328447899774644057637
absolute error = 1.24059480238382448004381400e-24
relative error = 6.1589071044685550714665744921069e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.991
y[1] (analytic) = 0.20144715607984640057243223871649
y[1] (numeric) = 0.20144715607984640057243098320145
absolute error = 1.25551504567861316236231810e-24
relative error = 6.2324783834673357056326983961661e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9909
y[1] (analytic) = 0.20146331630727226101701691933857
y[1] (numeric) = 0.2014633163072722610170156488811
absolute error = 1.27045746505849812202649514e-24
relative error = 6.3061478801470427727201962909665e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.9908
y[1] (analytic) = 0.2014794783157953237999261714718
y[1] (numeric) = 0.20147947831579532379992488604973
absolute error = 1.28542207307296278565780779e-24
relative error = 6.3799156311999937933470097001793e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9907
y[1] (analytic) = 0.2014956421056488841839298242745
y[1] (numeric) = 0.20149564210564888418392852386562
absolute error = 1.30040888227733446908461759e-24
relative error = 6.4537816733301836698313713042274e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9906
y[1] (analytic) = 0.20151180767706626922949598616288
y[1] (numeric) = 0.20151180767706626922949467074497
absolute error = 1.31541790523278678969714642e-24
relative error = 6.5277460432532875342338570344657e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9905
y[1] (analytic) = 0.20152797503028083779814363513441
y[1] (numeric) = 0.20152797503028083779814230468525
absolute error = 1.33044915450634207963585554e-24
relative error = 6.6018087776966635965258023254425e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9904
y[1] (analytic) = 0.20154414416552598055579490042365
y[1] (numeric) = 0.20154414416552598055579355492101
absolute error = 1.34550264267087379981340310e-24
relative error = 6.6759699133993559928835716241897e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9903
y[1] (analytic) = 0.20156031508303511997612703503331
y[1] (numeric) = 0.20156031508303511997612567445493
absolute error = 1.36057838230510895477034031e-24
relative error = 6.7502294871120976341081666872918e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.3MB, time=1.57
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9902
y[1] (analytic) = 0.20157648778304171034392407868317
y[1] (numeric) = 0.20157648778304171034392270300679
absolute error = 1.37567638599363050836470683e-24
relative error = 6.8245875355973130541696609887080e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9901
y[1] (analytic) = 0.20159266226577923775842821071911
y[1] (numeric) = 0.20159266226577923775842681992244
absolute error = 1.39079666632687980029568562e-24
relative error = 6.8990440956291212588759459295956e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.99
y[1] (analytic) = 0.20160883853148122013669079252434
y[1] (numeric) = 0.20160883853148122013668938658511
absolute error = 1.40593923590115896346147734e-24
relative error = 6.9735992039933385746652737541340e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.9899
y[1] (analytic) = 0.20162501658038120721692309897465
y[1] (numeric) = 0.20162501658038120721692167787054
absolute error = 1.42110410731863334215155455e-24
relative error = 7.0482528974874814975220828262596e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.567
x[1] = -1.9898
y[1] (analytic) = 0.20164119641271278056184673847905
y[1] (numeric) = 0.20164119641271278056184530218776
absolute error = 1.43629129318733391107345566e-24
relative error = 7.1230052129207695420155893913989e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.567
x[1] = -1.9897
y[1] (analytic) = 0.20165737802870955356204376114733
y[1] (numeric) = 0.20165737802870955356204230964652
absolute error = 1.45150080612115969521427842e-24
relative error = 7.1978561871141280904606291118936e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9896
y[1] (analytic) = 0.20167356142860517143930645462526
y[1] (numeric) = 0.2016735614286051714393049878926
absolute error = 1.46673265873988019053703296e-24
relative error = 7.2728058569001912422002327143490e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9895
y[1] (analytic) = 0.20168974661263331124998682713842
y[1] (numeric) = 0.20168974661263331124998534515156
absolute error = 1.48198686366913778551201387e-24
relative error = 7.3478542591233046630094174669892e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9894
y[1] (analytic) = 0.20170593358102768188834577728507
y[1] (numeric) = 0.20170593358102768188834428002164
absolute error = 1.49726343354045018348335115e-24
relative error = 7.4230014306395284346196778505752e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9893
y[1] (analytic) = 0.20172212233402202408990195011816
y[1] (numeric) = 0.20172212233402202408990043755578
absolute error = 1.51256238099121282587089937e-24
relative error = 7.4982474083166399043636563162329e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9892
y[1] (analytic) = 0.2017383128718501104347802790567
y[1] (numeric) = 0.20173831287185011043477875117298
absolute error = 1.52788371866470131620762459e-24
relative error = 7.5735922290341365349394760250442e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9891
y[1] (analytic) = 0.20175450519474574535106021316602
y[1] (numeric) = 0.20175450519474574535105866993856
absolute error = 1.54322745921007384501264830e-24
relative error = 7.6490359296832387542942159868645e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.989
y[1] (analytic) = 0.20177069930294276511812362934642
y[1] (numeric) = 0.2017706993029427651181220707528
absolute error = 1.55859361528237361550010763e-24
relative error = 7.7245785471668928056260089273032e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9889
y[1] (analytic) = 0.20178689519667503787000242896939
y[1] (numeric) = 0.20178689519667503787000085498719
absolute error = 1.57398219954253127012399094e-24
relative error = 7.8002201183997735975042414791877e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9888
y[1] (analytic) = 0.20180309287617646359872581850043
y[1] (numeric) = 0.2018030928761764635987242291072
absolute error = 1.58939322465736731795910786e-24
relative error = 7.8759606803082875541073360583620e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9887
y[1] (analytic) = 0.20181929234168097415766727364693
y[1] (numeric) = 0.20181929234168097415766566882023
absolute error = 1.60482670329959456291835275e-24
relative error = 7.9518002698305754655775932501626e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.9886
y[1] (analytic) = 0.2018354935934225332648911865698
y[1] (numeric) = 0.20183549359342253326488956628715
absolute error = 1.62028264814782053280642027e-24
relative error = 8.0277389239165153384925721080663e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9885
y[1] (analytic) = 0.20185169663163513650649919569668
y[1] (numeric) = 0.20185169663163513650649755993561
absolute error = 1.63576107188654990921013201e-24
relative error = 8.1037766795277252464524870174983e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.3MB, time=1.84
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9884
y[1] (analytic) = 0.20186790145655281133997619767499
y[1] (numeric) = 0.201867901456552811339974546413
absolute error = 1.65126198720618695822553268e-24
relative error = 8.1799135736375661807830975113254e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9883
y[1] (analytic) = 0.20188410806840961709753604100205
y[1] (numeric) = 0.20188410806840961709753437421664
absolute error = 1.66678540680303796202191443e-24
relative error = 8.2561496432311449013535677345423e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9882
y[1] (analytic) = 0.20190031646743964498946690086996
y[1] (numeric) = 0.20190031646743964498946521853861
absolute error = 1.68233134337931365124292784e-24
relative error = 8.3324849253053167875087720712244e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9881
y[1] (analytic) = 0.20191652665387701810747633476218
y[1] (numeric) = 0.20191652665387701810747463686237
absolute error = 1.69789980964313163824493778e-24
relative error = 8.4089194568686886891155217273110e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.988
y[1] (analytic) = 0.20193273862795589142803601833872
y[1] (numeric) = 0.20193273862795589142803430484791
absolute error = 1.71349081830851885117278253e-24
relative error = 8.4854532749416217777221879692443e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9879
y[1] (analytic) = 0.20194895238991045181572616114645
y[1] (numeric) = 0.20194895238991045181572443204206
absolute error = 1.72910438209541396887309426e-24
relative error = 8.5620864165562343978311962475466e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9878
y[1] (analytic) = 0.20196516793997491802657960169092
y[1] (numeric) = 0.20196516793997491802657785695041
absolute error = 1.74474051372966985664533889e-24
relative error = 8.6388189187564049182838650044084e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9877
y[1] (analytic) = 0.20198138527838354071142558140579
y[1] (numeric) = 0.20198138527838354071142382100656
absolute error = 1.76039922594305600283073337e-24
relative error = 8.7156508185977745837570630298475e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.9876
y[1] (analytic) = 0.20199760440537060241923319705551
y[1] (numeric) = 0.20199760440537060241923142097498
absolute error = 1.77608053147326095623919811e-24
relative error = 8.7925821531477503663711576628454e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.567
x[1] = -1.9875
y[1] (analytic) = 0.20201382532117041760045453110697
y[1] (numeric) = 0.20201382532117041760045273932253
absolute error = 1.79178444306389476441450254e-24
relative error = 8.8696129594855078174087273390219e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9874
y[1] (analytic) = 0.20203004802601733261036745960524
y[1] (numeric) = 0.20203004802601733261036565209427
absolute error = 1.80751097346449141273776113e-24
relative error = 8.9467432747019939191435087360050e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9873
y[1] (analytic) = 0.20204627252014572571241813708855
y[1] (numeric) = 0.20204627252014572571241631382842
absolute error = 1.82326013543051126436943775e-24
relative error = 9.0239731358999299367790514589147e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9872
y[1] (analytic) = 0.20206249880379000708156315807715
y[1] (numeric) = 0.2020624988037900070815613190452
absolute error = 1.83903194172334350103001570e-24
relative error = 9.1013025801938142704965504539323e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9871
y[1] (analytic) = 0.20207872687718461880761139467056
y[1] (numeric) = 0.20207872687718461880760953984416
absolute error = 1.85482640511030856461949065e-24
relative error = 9.1787316447099253076113258618991e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.987
y[1] (analytic) = 0.20209495674056403489856550978756
y[1] (numeric) = 0.20209495674056403489856363914402
absolute error = 1.87064353836466059967584398e-24
relative error = 9.2562603665863242748374212306726e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9869
y[1] (analytic) = 0.20211118839416276128396314558262
y[1] (numeric) = 0.20211118839416276128396125909927
absolute error = 1.88648335426558989667265347e-24
relative error = 9.3338887829728580906597883022340e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9868
y[1] (analytic) = 0.20212742183821533581821778657278
y[1] (numeric) = 0.20212742183821533581821588422692
absolute error = 1.90234586559822533615599860e-24
relative error = 9.4116169310311622178135280951161e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
memory used=30.5MB, alloc=4.3MB, time=2.11
x[1] = -1.9867
y[1] (analytic) = 0.20214365707295632828395929700816
y[1] (numeric) = 0.20214365707295632828395737877707
absolute error = 1.91823108515363683372081718e-24
relative error = 9.4894448479346635158696553013750e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9866
y[1] (analytic) = 0.20215989409862034039537413201942
y[1] (numeric) = 0.20215989409862034039537219788039
absolute error = 1.93413902572883778582687039e-24
relative error = 9.5673725708685830939268547699432e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.9865
y[1] (analytic) = 0.20217613291544200580154522207507
y[1] (numeric) = 0.20217613291544200580154327200537
absolute error = 1.95006970012678751645447281e-24
relative error = 9.6454001370299391634086963459296e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9864
y[1] (analytic) = 0.20219237352365599008979153028117
y[1] (numeric) = 0.20219237352365599008978956425805
absolute error = 1.96602312115639372460014430e-24
relative error = 9.7235275836275498909657756927697e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9863
y[1] (analytic) = 0.20220861592349699078900728205598
y[1] (numeric) = 0.20220861592349699078900530005668
absolute error = 1.98199930163251493261234003e-24
relative error = 9.8017549478820362514822459264562e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9862
y[1] (analytic) = 0.20222486011519973737300086671148
y[1] (numeric) = 0.20222486011519973737299886871323
absolute error = 1.99799825437596293536741524e-24
relative error = 9.8800822670258248811862062493103e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9861
y[1] (analytic) = 0.20224110609899899126383341047382
y[1] (numeric) = 0.20224110609899899126383139645383
absolute error = 2.01401999221350525028598125e-24
relative error = 9.9585095783031509308634134469373e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.986
y[1] (analytic) = 0.20225735387512954583515702047411
y[1] (numeric) = 0.20225735387512954583515499040958
absolute error = 2.03006452797786756818980856e-24
relative error = 1.0037036918970060919173778723118e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9859
y[1] (analytic) = 0.20227360344382622641555269924101
y[1] (numeric) = 0.20227360344382622641555065310914
absolute error = 2.04613187450773620499943361e-24
relative error = 1.0115664326294415586070115931792e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9858
y[1] (analytic) = 0.20228985480532389029186792922616
y[1] (numeric) = 0.20228985480532389029186586700411
absolute error = 2.06222204464776055427262498e-24
relative error = 1.0194391837555892746318603333237e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9857
y[1] (analytic) = 0.20230610795985742671255392689316
y[1] (numeric) = 0.2023061079598574267125518485581
absolute error = 2.07833505124855554058386501e-24
relative error = 1.0273219490045990143120421965984e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9856
y[1] (analytic) = 0.20232236290766175689100256590076
y[1] (numeric) = 0.20232236290766175689100047142986
absolute error = 2.09447090716670407374500284e-24
relative error = 1.0352147321068028301834033800205e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9855
y[1] (analytic) = 0.20233861964897183400888296891052
y[1] (numeric) = 0.20233861964897183400888085828089
absolute error = 2.11062962526475950386723439e-24
relative error = 1.0431175367937153383797560441410e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.9854
y[1] (analytic) = 0.20235487818402264321947776754878
y[1] (numeric) = 0.20235487818402264321947564073757
absolute error = 2.12681121841124807726456499e-24
relative error = 1.0510303667980340040250724069257e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.566
x[1] = -1.9853
y[1] (analytic) = 0.20237113851304920165101903005298
y[1] (numeric) = 0.20237113851304920165101688703728
absolute error = 2.14301569948067139319891033e-24
relative error = 1.0589532258536394266355812075129e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.566
x[1] = -1.9852
y[1] (analytic) = 0.20238740063628655841002385613151
y[1] (numeric) = 0.20238740063628655841002169688843
absolute error = 2.15924308135350886146699091e-24
relative error = 1.0668861176955956255317124417817e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.566
x[1] = -1.9851
y[1] (analytic) = 0.2024036645539697945846296385665
y[1] (numeric) = 0.20240366455396979458462746307312
absolute error = 2.17549337691622016082917550e-24
relative error = 1.0748290460601503252598364325453e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.985
y[1] (analytic) = 0.20241993026633402324792899108846
y[1] (numeric) = 0.20241993026633402324792679932186
absolute error = 2.19176659906124769828042879e-24
relative error = 1.0827820146847352410237431319078e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.4MB, time=2.38
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.9849
y[1] (analytic) = 0.20243619777361438946130434205137
y[1] (numeric) = 0.20243619777361438946130213398861
absolute error = 2.20806276068701906916351823e-24
relative error = 1.0907450273079663641258074622700e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.9848
y[1] (analytic) = 0.20245246707604607027776219343676
y[1] (numeric) = 0.20245246707604607027775996905488
absolute error = 2.22438187469794951812463532e-24
relative error = 1.0987180876696442474177866288288e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.9847
y[1] (analytic) = 0.20246873817386427474526704471481
y[1] (numeric) = 0.20246873817386427474526480399086
absolute error = 2.24072395400444440091158600e-24
relative error = 1.1067011995107542907611950329967e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.9846
y[1] (analytic) = 0.20248501106730424391007498109053
y[1] (numeric) = 0.20248501106730424391007272400152
absolute error = 2.25708901152290164701470506e-24
relative error = 1.1146943665734670264972025475756e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.9845
y[1] (analytic) = 0.20250128575660125082006692566244
y[1] (numeric) = 0.20250128575660125082006465218538
absolute error = 2.27347706017571422315064928e-24
relative error = 1.1226975926011384049260018088130e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.9844
y[1] (analytic) = 0.20251756224199060052808155502122
y[1] (numeric) = 0.20251756224199060052807926513311
absolute error = 2.28988811289127259758922392e-24
relative error = 1.1307108813383100797955901340925e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.9843
y[1] (analytic) = 0.20253384052370763009524787781548
y[1] (numeric) = 0.2025338405237076300952455714933
absolute error = 2.30632218260396720532339694e-24
relative error = 1.1387342365307096937999115536280e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9842
y[1] (analytic) = 0.20255012060198770859431747581132
y[1] (numeric) = 0.20255012060198770859431515303204
absolute error = 2.32277928225419091408265541e-24
relative error = 1.1467676619252511640863044822185e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9841
y[1] (analytic) = 0.20256640247706623711299640697236
y[1] (numeric) = 0.20256640247706623711299406771293
absolute error = 2.33925942478834149118985846e-24
relative error = 1.1548111612700349677722005010061e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.984
y[1] (analytic) = 0.20258268614917864875727677008648
y[1] (numeric) = 0.20258268614917864875727441432386
absolute error = 2.35576262315882407126174074e-24
relative error = 1.1628647383143484274710195298269e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9839
y[1] (analytic) = 0.20259897161856040865476793046534
y[1] (numeric) = 0.20259897161856040865476555817645
absolute error = 2.37228889032405362475322069e-24
relative error = 1.1709283968086659968272068319899e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9838
y[1] (analytic) = 0.2026152588854470139580274062424
y[1] (numeric) = 0.20261525888544701395802501740416
absolute error = 2.38883823924845742734566746e-24
relative error = 1.1790021405046495460603570645560e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9837
y[1] (analytic) = 0.20263154795007399384789141479493
y[1] (numeric) = 0.20263154795007399384788900938424
absolute error = 2.40541068290247753017928032e-24
relative error = 1.1870859731551486475183705856124e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9836
y[1] (analytic) = 0.20264783881267690953680507881526
y[1] (numeric) = 0.20264783881267690953680265680902
absolute error = 2.42200623426257323092973440e-24
relative error = 1.1951798985142008612395872284724e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9835
y[1] (analytic) = 0.20266413147349135427215229155627
y[1] (numeric) = 0.20266413147349135427214985293136
absolute error = 2.43862490631122354572924628e-24
relative error = 1.2032839203370320205238425932820e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9834
y[1] (analytic) = 0.20268042593275295333958524077571
y[1] (numeric) = 0.202680425932752953339582785509
absolute error = 2.45526671203692968193221316e-24
relative error = 1.2113980423800565175123920086834e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.9833
y[1] (analytic) = 0.20269672219069736406635359090388
y[1] (numeric) = 0.20269672219069736406635111897222
absolute error = 2.47193166443421751172557881e-24
relative error = 1.2195222684008775887766470532166e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.9832
y[1] (analytic) = 0.20271302024756027582463332295875
y[1] (numeric) = 0.20271302024756027582463083433897
memory used=38.1MB, alloc=4.4MB, time=2.66
absolute error = 2.48861977650364004658407983e-24
relative error = 1.2276566021582876009156696876115e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.9831
y[1] (analytic) = 0.20272932010357741003485523173248
y[1] (numeric) = 0.20272932010357741003485272640141
absolute error = 2.50533106125177991257052529e-24
relative error = 1.2358010474122683361623688208124e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.983
y[1] (analytic) = 0.2027456217589845201690330797729
y[1] (numeric) = 0.20274562175898452016903055770737
absolute error = 2.52206553169125182648126294e-24
relative error = 1.2439556079239912779983441905070e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.9829
y[1] (analytic) = 0.2027619252140173917540914076834
y[1] (numeric) = 0.2027619252140173917540888688602
absolute error = 2.53882320084070507283698503e-24
relative error = 1.2521202874558178967773223636741e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.9828
y[1] (analytic) = 0.2027782304689118423751930002642
y[1] (numeric) = 0.20277823046891184237519044466011
absolute error = 2.55560408172482598171902650e-24
relative error = 1.2602950897712999353571295233600e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.564
x[1] = -1.9827
y[1] (analytic) = 0.20279453752390372167906600801786
y[1] (numeric) = 0.20279453752390372167906343560967
absolute error = 2.57240818737434040745130848e-24
relative error = 1.2684800186351796947401457955299e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.564
x[1] = -1.9826
y[1] (analytic) = 0.20281084637922891137733072354173
y[1] (numeric) = 0.2028108463792289113773281343062
absolute error = 2.58923553082601620812807968e-24
relative error = 1.2766750778133903197221856911676e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.564
x[1] = -1.9825
y[1] (analytic) = 0.20282715703512332524982601232936
y[1] (numeric) = 0.20282715703512332524982340624323
absolute error = 2.60608612512266572598760829e-24
relative error = 1.2848802710730560845497492574739e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.564
x[1] = -1.9824
y[1] (analytic) = 0.2028434694918229091479353975031
y[1] (numeric) = 0.20284346949182290914793277454311
absolute error = 2.62295998331314826863197687e-24
relative error = 1.2930956021824926785855884619507e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.564
x[1] = -1.9823
y[1] (analytic) = 0.20285978374956364099791279799958
y[1] (numeric) = 0.20285978374956364099791015814246
absolute error = 2.63985711845237259109313252e-24
relative error = 1.3013210749112074919825332385071e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.564
x[1] = -1.9822
y[1] (analytic) = 0.20287609980858153080420791972949
y[1] (numeric) = 0.20287609980858153080420526295195
absolute error = 2.65677754360129937874534465e-24
relative error = 1.3095566930298999013655216385919e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9821
y[1] (analytic) = 0.20289241766911262065279129923298
y[1] (numeric) = 0.20289241766911262065278862551171
absolute error = 2.67372127182694373106422245e-24
relative error = 1.3178024603104615555217784210095e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.982
y[1] (analytic) = 0.2029087373313929847144789993515
y[1] (numeric) = 0.20290873733139298471447630866319
absolute error = 2.69068831620237764623244410e-24
relative error = 1.3260583805259766610990863836688e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9819
y[1] (analytic) = 0.20292505879565872924825695643691
y[1] (numeric) = 0.20292505879565872924825424875822
absolute error = 2.70767868980673250659234966e-24
relative error = 1.3343244574507222683120946904288e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9818
y[1] (analytic) = 0.20294138206214599260460497861806
y[1] (numeric) = 0.20294138206214599260460225392565
absolute error = 2.72469240572520156494554942e-24
relative error = 1.3426006948601685566566083666014e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9817
y[1] (analytic) = 0.20295770713109094522882039464521
y[1] (numeric) = 0.20295770713109094522881765291574
absolute error = 2.74172947704904243169969946e-24
relative error = 1.3508870965309791206318031211880e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9816
y[1] (analytic) = 0.202974034002729789664341352832
y[1] (numeric) = 0.20297403400272978966433859404209
absolute error = 2.75878991687557956286259592e-24
relative error = 1.3591836662410112554703095300763e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9815
y[1] (analytic) = 0.20299036267729876055606976961457
y[1] (numeric) = 0.20299036267729876055606699374083
absolute error = 2.77587373830820674888373960e-24
relative error = 1.3674904077693162428761106729478e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.4MB, time=2.92
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9814
y[1] (analytic) = 0.20300669315503412465369392724722
y[1] (numeric) = 0.20300669315503412465369113426627
absolute error = 2.79298095445638960434352218e-24
relative error = 1.3758073248961396367701971534741e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9813
y[1] (analytic) = 0.20302302543617218081501072015375
y[1] (numeric) = 0.20302302543617218081500791004218
absolute error = 2.81011157843566805849018526e-24
relative error = 1.3841344214029215490439233875436e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9812
y[1] (analytic) = 0.203039359520949260009247549453
y[1] (numeric) = 0.20303935952094926000924472218737
absolute error = 2.82726562336765884662470360e-24
relative error = 1.3924717010722969353200091324520e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.9811
y[1] (analytic) = 0.20305569540960172532038386517739
y[1] (numeric) = 0.20305569540960172532038102073428
absolute error = 2.84444310238005800233374327e-24
relative error = 1.4008191676880958807211298995221e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.981
y[1] (analytic) = 0.2030720331023659719504723557026
y[1] (numeric) = 0.20307203310236597195046949405857
absolute error = 2.86164402860664335057084599e-24
relative error = 1.4091768250353438856460401730162e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.9809
y[1] (analytic) = 0.20308837259947842722295978390634
y[1] (numeric) = 0.20308837259947842722295690503792
absolute error = 2.87886841518727700158599023e-24
relative error = 1.4175446769002621515531730081524e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.9808
y[1] (analytic) = 0.20310471390117555058600746957394
y[1] (numeric) = 0.20310471390117555058600457345766
absolute error = 2.89611627526790784570367985e-24
relative error = 1.4259227270702678667516596842060e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.9807
y[1] (analytic) = 0.20312105700769383361581141756827
y[1] (numeric) = 0.20312105700769383361580850418065
absolute error = 2.91338762200057404894971101e-24
relative error = 1.4343109793339744921997130637882e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.9806
y[1] (analytic) = 0.20313740191926980001992209128103
y[1] (numeric) = 0.20313740191926980001991916059856
absolute error = 2.93068246854340554952676758e-24
relative error = 1.4427094374811920473103180630038e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.9805
y[1] (analytic) = 0.20315374863614000564056383088243
y[1] (numeric) = 0.2031537486361400056405608828816
absolute error = 2.94800082806062655513899569e-24
relative error = 1.4511181053029273957641728389291e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.9804
y[1] (analytic) = 0.20317009715854103845795391588582
y[1] (numeric) = 0.20317009715854103845795095054311
absolute error = 2.96534271372255804116570750e-24
relative error = 1.4595369865913845313298240250193e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.563
x[1] = -1.9803
y[1] (analytic) = 0.20318644748670951859362127154367
y[1] (numeric) = 0.20318644748670951859361828883553
absolute error = 2.98270813870562024968436444e-24
relative error = 1.4679660851399648636909394287124e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.563
x[1] = -1.9802
y[1] (analytic) = 0.2032027996208820983137248185909
y[1] (numeric) = 0.20320279962088209831372181849379
absolute error = 3.00009711619233518934298990e-24
relative error = 1.4764054047432675042806614725680e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.563
x[1] = -1.9801
y[1] (analytic) = 0.20321915356129546203237146585152
y[1] (numeric) = 0.20321915356129546203236844834186
absolute error = 3.01750965937132913608216141e-24
relative error = 1.4848549491970895521229846898504e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.98
y[1] (analytic) = 0.20323550930818632631493374522397
y[1] (numeric) = 0.20323550930818632631493071027818
absolute error = 3.03494578143733513470673193e-24
relative error = 1.4933147222984263796811003788372e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9799
y[1] (analytic) = 0.20325186686179143988136708856056
y[1] (numeric) = 0.20325186686179143988136403615507
absolute error = 3.05240549559119550130743013e-24
relative error = 1.5017847278454719187126516482395e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9798
y[1] (analytic) = 0.20326822622234758360952674595596
y[1] (numeric) = 0.20326822622234758360952367606715
absolute error = 3.06988881503986432653248921e-24
relative error = 1.5102649696376189461318419238729e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9797
y[1] (analytic) = 0.2032845873900915705384843449594
y[1] (numeric) = 0.20328458739009157053848125756364
absolute error = 3.08739575299640997970945371e-24
relative error = 1.5187554514754593698783399377527e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=3.18
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9796
y[1] (analytic) = 0.20330095036526024587184409022516
y[1] (numeric) = 0.20330095036526024587184098529883
absolute error = 3.10492632268001761381731358e-24
relative error = 1.5272561771607845147929241325091e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9795
y[1] (analytic) = 0.2033173151480904869810586031155
y[1] (numeric) = 0.20331731514809048698105548063497
absolute error = 3.12248053731599167130911505e-24
relative error = 1.5357671504965854084998095471500e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9794
y[1] (analytic) = 0.20333368173881920340874440076991
y[1] (numeric) = 0.2033336817388192034087412607115
absolute error = 3.14005841013575839078519704e-24
relative error = 1.5442883752870530672955998570120e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9793
y[1] (analytic) = 0.20335005013768333687199701415428
y[1] (numeric) = 0.20335005013768333687199385649432
absolute error = 3.15765995437686831451720251e-24
relative error = 1.5528198553375787820448075658276e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9792
y[1] (analytic) = 0.20336642034491986126570574460353
y[1] (numeric) = 0.20336642034491986126570256931835
absolute error = 3.17528518328299879682301341e-24
relative error = 1.5613615944547544040818849842810e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.9791
y[1] (analytic) = 0.20338279236076578266586805837064
y[1] (numeric) = 0.20338279236076578266586486543653
absolute error = 3.19293411010395651329275810e-24
relative error = 1.5699135964463726311197087332506e-21 %
h = 0.0001
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) = 0.20339916618545813933290040808816
absolute error = 3.21060674809567997086603998e-24
relative error = 1.5784758651214272931644604465311e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9789
y[1] (analytic) = 0.20341554181923400171496795490211
y[1] (numeric) = 0.203415541819234001714964726599
absolute error = 3.22830311052024201876053579e-24
relative error = 1.5870484042901136384368462107463e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9788
y[1] (analytic) = 0.20343191926233047245126576804875
y[1] (numeric) = 0.20343191926233047245126252202554
absolute error = 3.24602321064585236025211212e-24
relative error = 1.5956312177638286192995973201495e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9787
y[1] (analytic) = 0.20344829851498468637536387262241
y[1] (numeric) = 0.20344829851498468637536060885535
absolute error = 3.26376706174686006530660844e-24
relative error = 1.6042243093551711781911948116095e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9786
y[1] (analytic) = 0.20346467957743381051850377380998
y[1] (numeric) = 0.2034646795774338105185004922753
absolute error = 3.28153467710375608406343481e-24
relative error = 1.6128276828779425335657601720870e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9785
y[1] (analytic) = 0.20348106244991504411291387984514
y[1] (numeric) = 0.20348106244991504411291058051907
absolute error = 3.29932607000317576117113250e-24
relative error = 1.6214413421471464658390546460998e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9784
y[1] (analytic) = 0.20349744713266561859512134894648
y[1] (numeric) = 0.20349744713266561859511803180523
absolute error = 3.31714125373790135097504543e-24
relative error = 1.6300652909789896033405294142044e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9783
y[1] (analytic) = 0.20351383362592279760926357035687
y[1] (numeric) = 0.20351383362592279760926023537662
absolute error = 3.33498024160686453355725026e-24
relative error = 1.6386995331908817082713688751007e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9782
y[1] (analytic) = 0.203530221929923877010399278995
y[1] (numeric) = 0.20353022192992387701039592615196
absolute error = 3.35284304691514893162889305e-24
relative error = 1.6473440726014359626684693091173e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.9781
y[1] (analytic) = 0.20354661204490618486781930322937
y[1] (numeric) = 0.20354661204490618486781593249969
absolute error = 3.37072968297399262827507991e-24
relative error = 1.6559989130304692543742949560960e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.562
x[1] = -1.978
y[1] (analytic) = 0.20356300397110708146835694528471
y[1] (numeric) = 0.20356300397110708146835355664454
absolute error = 3.38864016310079068555246943e-24
relative error = 1.6646640582990024630125537235364e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.562
memory used=49.5MB, alloc=4.4MB, time=3.45
x[1] = -1.9779
y[1] (analytic) = 0.20357939770876395931969799379079
y[1] (numeric) = 0.20357939770876395931969458721629
absolute error = 3.40657450061909766393971405e-24
relative error = 1.6733395122292607459696344323719e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9778
y[1] (analytic) = 0.20359579325811424315369036798319
y[1] (numeric) = 0.20359579325811424315368694345048
absolute error = 3.42453270885863014264089783e-24
relative error = 1.6820252786446738243817476562783e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9777
y[1] (analytic) = 0.20361219061939538992965339306511
y[1] (numeric) = 0.20361219061939538992964995055031
absolute error = 3.44251480115526924074211771e-24
relative error = 1.6907213613698762691277120297984e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9776
y[1] (analytic) = 0.20362858979284488883768670623947
y[1] (numeric) = 0.20362858979284488883768324571868
absolute error = 3.46052079085106313922135542e-24
relative error = 1.6994277642307077868273279361664e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9775
y[1] (analytic) = 0.20364499077870026130197879291977
y[1] (numeric) = 0.20364499077870026130197531436908
absolute error = 3.47855069129422960381178690e-24
relative error = 1.7081444910542135058452803396118e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9774
y[1] (analytic) = 0.20366139357719906098411515262845
y[1] (numeric) = 0.20366139357719906098411165602394
absolute error = 3.49660451583915850871867600e-24
relative error = 1.7168715456686442623005124840554e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9773
y[1] (analytic) = 0.2036777981885788737863860940906
y[1] (numeric) = 0.20367779818857887378638257940832
absolute error = 3.51468227784641436118999933e-24
relative error = 1.7256089319034568860810122305591e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9772
y[1] (analytic) = 0.2036942046130773178550941590312
y[1] (numeric) = 0.20369420461307731785509062624721
absolute error = 3.53278399068273882694094882e-24
relative error = 1.7343566535893144868639526550451e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9771
y[1] (analytic) = 0.20371061285093204358386117418337
y[1] (numeric) = 0.2037106128509320435838576232737
absolute error = 3.55090966772105325643245824e-24
relative error = 1.7431147145580867401411283770642e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.977
y[1] (analytic) = 0.20372702290238073361693493101497
y[1] (numeric) = 0.20372702290238073361693136195565
absolute error = 3.56905932234046121200390040e-24
relative error = 1.7518831186428501732496293226512e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9769
y[1] (analytic) = 0.20374343476766110285249549268077
y[1] (numeric) = 0.2037434347676611028524919054478
absolute error = 3.58723296792625099586010093e-24
relative error = 1.7606618696778884514076932232525e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.9768
y[1] (analytic) = 0.20375984844701089844596112770676
y[1] (numeric) = 0.20375984844701089844595752227614
absolute error = 3.60543061786989817891281502e-24
relative error = 1.7694509714986926637556783899700e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9767
y[1] (analytic) = 0.20377626394066789981329386991338
y[1] (numeric) = 0.20377626394066789981329024626109
absolute error = 3.62365228556906813047681296e-24
relative error = 1.7782504279419616094020980389116e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9766
y[1] (analytic) = 0.20379268124886991863430470408369
y[1] (numeric) = 0.20379268124886991863430106218571
absolute error = 3.64189798442761854882072034e-24
relative error = 1.7870602428456020834746574549805e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9765
y[1] (analytic) = 0.20380910037185479885595837688267
y[1] (numeric) = 0.20380910037185479885595471671494
absolute error = 3.66016772785560199257275889e-24
relative error = 1.7958804200487291631762353420437e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9764
y[1] (analytic) = 0.2038255213098604166956778325331
y[1] (numeric) = 0.20382552130986041669567415407157
absolute error = 3.67846152926926841298153338e-24
relative error = 1.8047109633916664938457504343759e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9763
y[1] (analytic) = 0.20384194406312468064464827275375
y[1] (numeric) = 0.20384194406312468064464457597434
absolute error = 3.69677940209106768703201010e-24
relative error = 1.8135518767159465750238544952273e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9762
y[1] (analytic) = 0.20385836863188553147112084046467
y[1] (numeric) = 0.20385836863188553147111712534331
absolute error = 3.71512135974965215141683260e-24
relative error = 1.8224031638643110465233929087138e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=3.73
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9761
y[1] (analytic) = 0.20387479501638094222371592676484
y[1] (numeric) = 0.20387479501638094222371219327742
absolute error = 3.73348741567987913736311958e-24
relative error = 1.8312648286807109745045736855687e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.976
y[1] (analytic) = 0.20389122321684891823472610068638
y[1] (numeric) = 0.2038912232168489182347223488088
absolute error = 3.75187758332281350631489044e-24
relative error = 1.8401368750103071375547860094653e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9759
y[1] (analytic) = 0.20390765323352749712341866122999
y[1] (numeric) = 0.20390765323352749712341489093811
absolute error = 3.77029187612573018647126335e-24
relative error = 1.8490193066994703127730091337526e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.9758
y[1] (analytic) = 0.2039240850666547487993378111854
y[1] (numeric) = 0.20392408506665474879933402245509
absolute error = 3.78873030754211671018057075e-24
relative error = 1.8579121275957815618587524650854e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9757
y[1] (analytic) = 0.20394051871646877546560645224076
y[1] (numeric) = 0.20394051871646877546560264504787
absolute error = 3.80719289103167575219053726e-24
relative error = 1.8668153415480325172054677068675e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9756
y[1] (analytic) = 0.20395695418320771162222760088437
y[1] (numeric) = 0.20395695418320771162222377520473
absolute error = 3.82567964006032766875466447e-24
relative error = 1.8757289524062256679983736874767e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9755
y[1] (analytic) = 0.20397339146710972406938542460198
y[1] (numeric) = 0.20397339146710972406938158041141
absolute error = 3.84419056810021303759496730e-24
relative error = 1.8846529640215746463166346083722e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9754
y[1] (analytic) = 0.20398983056841301191074589787262
y[1] (numeric) = 0.20398983056841301191074203514693
absolute error = 3.86272568862969519872120636e-24
relative error = 1.8935873802465045132398323219417e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9753
y[1] (analytic) = 0.20400627148735580655675707746564
y[1] (numeric) = 0.20400627148735580655675319618063
absolute error = 3.88128501513336279610676059e-24
relative error = 1.9025322049346520449586731777276e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9752
y[1] (analytic) = 0.20402271422417637172794899654121
y[1] (numeric) = 0.20402271422417637172794509667265
absolute error = 3.89986856110203232022128441e-24
relative error = 1.9114874419408660188898699535292e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9751
y[1] (analytic) = 0.20403915877911300345823317705655
y[1] (numeric) = 0.2040391587791130034582292585802
absolute error = 3.91847634003275065142029346e-24
relative error = 1.9204530951212074997951393167532e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.975
y[1] (analytic) = 0.20405560515240403009820175997959
y[1] (numeric) = 0.20405560515240403009819782287123
absolute error = 3.93710836542879760419182287e-24
relative error = 1.9294291683329501259042551952294e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9749
y[1] (analytic) = 0.20407205334428781231842625281175
y[1] (numeric) = 0.2040720533442878123184222970471
absolute error = 3.95576465079968847226030189e-24
relative error = 1.9384156654345803950420983853038e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9748
y[1] (analytic) = 0.20408850335500274311275589392087
y[1] (numeric) = 0.20408850335500274311275191947566
absolute error = 3.97444520966117657454778863e-24
relative error = 1.9474125902857979507596426883788e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.9747
y[1] (analytic) = 0.20410495518478724780161563318555
y[1] (numeric) = 0.20410495518478724780161164003549
absolute error = 3.99315005553525580199270843e-24
relative error = 1.9564199467475158684688177569623e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9746
y[1] (analytic) = 0.20412140883387978403530372845144
y[1] (numeric) = 0.20412140883387978403529971657224
absolute error = 4.01187920195016316522623940e-24
relative error = 1.9654377386818609415811888437571e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9745
y[1] (analytic) = 0.20413786430251884179728895730002
y[1] (numeric) = 0.20413786430251884179728492666736
absolute error = 4.03063266244038134310648846e-24
relative error = 1.9744659699521739676503935471201e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9744
y[1] (analytic) = 0.20415432159094294340750744362989
y[1] (numeric) = 0.20415432159094294340750339421944
absolute error = 4.04941045054664123211060104e-24
relative error = 1.9835046444230100345182755657002e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=3.99
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9743
y[1] (analytic) = 0.2041707806993906435256590985506
y[1] (numeric) = 0.20417078069939064352565503033802
absolute error = 4.06821257981592449658494758e-24
relative error = 1.9925537659601388064646554680803e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9742
y[1] (analytic) = 0.20418724162810052915450367508857
y[1] (numeric) = 0.20418724162810052915449958804951
absolute error = 4.08703906380146611985352988e-24
relative error = 2.0016133384305448103606784420013e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9741
y[1] (analytic) = 0.20420370437731121964315643620436
y[1] (numeric) = 0.20420370437731121964315233031444
absolute error = 4.10588991606275695618474998e-24
relative error = 2.0106833657024277218256788094206e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.974
y[1] (analytic) = 0.20422016894726136669038343562041
y[1] (numeric) = 0.20422016894726136669037931085526
absolute error = 4.12476515016554628361668447e-24
relative error = 2.0197638516452026513875012043822e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9739
y[1] (analytic) = 0.20423663533818965434789641095798
y[1] (numeric) = 0.2042366353381896543478922672932
absolute error = 4.14366477968184435764100673e-24
relative error = 2.0288548001295004306462181177583e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9738
y[1] (analytic) = 0.2042531035503347990236472886818
y[1] (numeric) = 0.20425310355033479902364312609298
absolute error = 4.16258881818992496574569959e-24
relative error = 2.0379562150271678984411835110995e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9737
y[1] (analytic) = 0.20426957358393554948512230035059
y[1] (numeric) = 0.20426957358393554948511811881331
absolute error = 4.18153727927432798281670084e-24
relative error = 2.0470681002112681870213621755436e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.9736
y[1] (analytic) = 0.20428604543923068686263570967142
y[1] (numeric) = 0.20428604543923068686263150916124
absolute error = 4.20051017652586192739862368e-24
relative error = 2.0561904595560810082188743484152e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.561
x[1] = -1.9735
y[1] (analytic) = 0.20430251911645902465262314985554
y[1] (numeric) = 0.20430251911645902465261893034802
absolute error = 4.21950752354160651881469441e-24
relative error = 2.0653232969371029396256952061689e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.561
x[1] = -1.9734
y[1] (analytic) = 0.20431899461585940872093457077307
y[1] (numeric) = 0.20431899461585940872093033224374
absolute error = 4.23852933392491523514604909e-24
relative error = 2.0744666162310477107734485765318e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.9733
y[1] (analytic) = 0.20433547193767071730612679540359
y[1] (numeric) = 0.20433547193767071730612253782796
absolute error = 4.25757562128541787207053132e-24
relative error = 2.0836204213158464893162344216097e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.9732
y[1] (analytic) = 0.20435195108213186102275568507945
y[1] (numeric) = 0.20435195108213186102275140843305
absolute error = 4.27664639923902310256113261e-24
relative error = 2.0927847160706481672164293142094e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.9731
y[1] (analytic) = 0.20436843204948178286466791301845
y[1] (numeric) = 0.20436843204948178286466361727677
absolute error = 4.29574168140792103744421709e-24
relative error = 2.1019595043758196469333992701044e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.973
y[1] (analytic) = 0.20438491483995945820829234564187
y[1] (numeric) = 0.20438491483995945820828803078039
absolute error = 4.31486148142058578681767201e-24
relative error = 2.1111447901129461276150641555815e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.9729
y[1] (analytic) = 0.20440139945380389481593103117413
y[1] (numeric) = 0.20440139945380389481592669716832
absolute error = 4.33400581291177802232912536e-24
relative error = 2.1203405771648313912922528343932e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.9728
y[1] (analytic) = 0.20441788589125413283904979501956
y[1] (numeric) = 0.20441788589125413283904544184487
absolute error = 4.35317468952254754031437187e-24
relative error = 2.1295468694154980890757881875428e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.9727
y[1] (analytic) = 0.20443437415254924482156844141169
y[1] (numeric) = 0.20443437415254924482156406904357
absolute error = 4.37236812490023582579614845e-24
relative error = 2.1387636707501880273562410450738e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
memory used=61.0MB, alloc=4.4MB, time=4.26
x[1] = -1.9726
y[1] (analytic) = 0.20445086423792833570315056083039
y[1] (numeric) = 0.20445086423792833570314616924426
absolute error = 4.39158613269847861734340009e-24
relative error = 2.1479909850553624540062920531188e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.9725
y[1] (analytic) = 0.20446735614763054282249294268141
y[1] (numeric) = 0.20446735614763054282248853185268
absolute error = 4.41082872657720847279117710e-24
relative error = 2.1572288162187023445856404346682e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9724
y[1] (analytic) = 0.20448384988189503592061459273312
y[1] (numeric) = 0.20448384988189503592061016263719
absolute error = 4.43009592020265733582130421e-24
relative error = 2.1664771681291086885483984301911e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9723
y[1] (analytic) = 0.20450034544096101714414535480461
y[1] (numeric) = 0.20450034544096101714414090541689
absolute error = 4.44938772724735910340396247e-24
relative error = 2.1757360446767027754529104134688e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9722
y[1] (analytic) = 0.20451684282506772104861413619927
y[1] (numeric) = 0.20451684282506772104860966749511
absolute error = 4.46870416139015219410032408e-24
relative error = 2.1850054497528264811739352856766e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9721
y[1] (analytic) = 0.20453334203445441460173673637735
y[1] (numeric) = 0.20453334203445441460173224833211
absolute error = 4.48804523631618211722638066e-24
relative error = 2.1942853872500425541171309405314e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.972
y[1] (analytic) = 0.20454984306936039718670327836124
y[1] (numeric) = 0.20454984306936039718669877095028
absolute error = 4.50741096571690404287810521e-24
relative error = 2.2035758610621349014357794700965e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9719
y[1] (analytic) = 0.20456634593002500060546524236639
y[1] (numeric) = 0.20456634593002500060546071556503
absolute error = 4.52680136329008537281808772e-24
relative error = 2.2128768750841088752496916430517e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9718
y[1] (analytic) = 0.20458285061668758908202210115082
y[1] (numeric) = 0.20458285061668758908201755493438
absolute error = 4.54621644273980831222378441e-24
relative error = 2.2221884332121915588662292010866e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9717
y[1] (analytic) = 0.20459935712958755926570755657588
y[1] (numeric) = 0.20459935712958755926570299091966
absolute error = 4.56565621777647244229752061e-24
relative error = 2.2315105393438320530033835378229e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9716
y[1] (analytic) = 0.2046158654689643402344753768705
y[1] (numeric) = 0.2046158654689643402344707917498
absolute error = 4.58512070211679729373838665e-24
relative error = 2.2408431973777017620148490159696e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.9715
y[1] (analytic) = 0.20463237563505739349818483409098
y[1] (numeric) = 0.20463237563505739349818022948107
absolute error = 4.60460990948382492107616661e-24
relative error = 2.2501864112136946801170294172789e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.56
x[1] = -1.9714
y[1] (analytic) = 0.20464888762810621300188574126803
y[1] (numeric) = 0.20464888762810621300188111714417
absolute error = 4.62412385360692247786743933e-24
relative error = 2.2595401847529276776179158041322e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.56
x[1] = -1.9713
y[1] (analytic) = 0.20466540144835032512910308873267
y[1] (numeric) = 0.20466540144835032512909844507012
absolute error = 4.64366254822178479275399082e-24
relative error = 2.2689045218977407871477739488563e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.56
x[1] = -1.9712
y[1] (analytic) = 0.20468191709602928870512127911199
y[1] (numeric) = 0.20468191709602928870511661588598
absolute error = 4.66322600707043694638367749e-24
relative error = 2.2782794265516974898915796280609e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.56
x[1] = -1.9711
y[1] (analytic) = 0.20469843457138269500026796048578
y[1] (numeric) = 0.20469843457138269500026327767153
absolute error = 4.68281424390123684919387903e-24
relative error = 2.2876649026195850018231397953837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.971
y[1] (analytic) = 0.20471495387465016773319745719461
y[1] (numeric) = 0.20471495387465016773319275476734
absolute error = 4.70242727246887782005768007e-24
relative error = 2.2970609540074145599408377970819e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.9709
y[1] (analytic) = 0.20473147500607136307417379778981
y[1] (numeric) = 0.2047314750060713630741690757247
absolute error = 4.72206510653439116579291930e-24
relative error = 2.3064675846224217085049405795472e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=4.53
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.9708
y[1] (analytic) = 0.20474799796588596964835333961511
y[1] (numeric) = 0.20474799796588596964834859788735
absolute error = 4.74172775986514876153424466e-24
relative error = 2.3158847983730665852764058082079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.9707
y[1] (analytic) = 0.20476452275433370853906698951015
y[1] (numeric) = 0.20476452275433370853906222809491
absolute error = 4.76141524623486563196831335e-24
relative error = 2.3253125991690342077571268902708e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.9706
y[1] (analytic) = 0.20478104937165433329110202012491
y[1] (numeric) = 0.20478104937165433329109723899734
absolute error = 4.78112757942360253343227479e-24
relative error = 2.3347509909212347594315535955733e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.9705
y[1] (analytic) = 0.20479757781808762991398348133457
y[1] (numeric) = 0.2047975778180876299139786804698
absolute error = 4.80086477321776853687567506e-24
relative error = 2.3441999775418038760096261699141e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.9704
y[1] (analytic) = 0.20481410809387341688525520624355
y[1] (numeric) = 0.20481410809387341688525038561671
absolute error = 4.82062684141012361168592074e-24
relative error = 2.3536595629441029316709605420700e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9703
y[1] (analytic) = 0.20483064019925154515376041126748
y[1] (numeric) = 0.20483064019925154515375557085368
absolute error = 4.84041379779978121037744034e-24
relative error = 2.3631297510427193253102223623958e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9702
y[1] (analytic) = 0.20484717413446189814292188978139
y[1] (numeric) = 0.20484717413446189814291702955573
absolute error = 4.86022565619221085414468113e-24
relative error = 2.3726105457534667667836274301935e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9701
y[1] (analytic) = 0.20486370989974439175402179882215
y[1] (numeric) = 0.20486370989974439175401691875972
absolute error = 4.88006243039924071927907904e-24
relative error = 2.3821019509933855631565060036269e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.97
y[1] (analytic) = 0.20488024749533897436948103833309
y[1] (numeric) = 0.20488024749533897436947613840896
absolute error = 4.89992413423906022445013945e-24
relative error = 2.3916039706807429049518685641505e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9699
y[1] (analytic) = 0.20489678692148562685613822243813
y[1] (numeric) = 0.20489678692148562685613330262735
absolute error = 4.91981078153622261885076615e-24
relative error = 2.4011166087350331523999103488180e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9698
y[1] (analytic) = 0.20491332817842436256852824223273
y[1] (numeric) = 0.20491332817842436256852330251035
absolute error = 4.93972238612164757120697589e-24
relative error = 2.4106398690769781216883920372779e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9697
y[1] (analytic) = 0.20492987126639522735216041957866
y[1] (numeric) = 0.2049298712663952273521554599197
absolute error = 4.95965896183262375965213590e-24
relative error = 2.4201737556285273712138339658368e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9696
y[1] (analytic) = 0.20494641618563829954679625138904
y[1] (numeric) = 0.20494641618563829954679127176852
absolute error = 4.97962052251281146246586114e-24
relative error = 2.4297182723128584878334609435607e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9695
y[1] (analytic) = 0.20496296293639368998972674389022
y[1] (numeric) = 0.20496296293639368998972174428314
absolute error = 4.99960708201224514967770859e-24
relative error = 2.4392734230543773731178350190436e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9694
y[1] (analytic) = 0.20497951151890154201904933634644
y[1] (numeric) = 0.20497951151890154201904431672779
absolute error = 5.01961865418733607553580517e-24
relative error = 2.4488392117787185296041132003721e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.9693
y[1] (analytic) = 0.20499606193340203147694441373319
y[1] (numeric) = 0.20499606193340203147693937407793
absolute error = 5.03965525290087487184054608e-24
relative error = 2.4584156424127453470498672337651e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.9692
y[1] (analytic) = 0.20501261418013536671295140784458
y[1] (numeric) = 0.20501261418013536671294634812769
absolute error = 5.05971689202203414214350005e-24
relative error = 2.4680027188845503886874024053727e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.9691
y[1] (analytic) = 0.20502916825934178858724448632024
y[1] (numeric) = 0.20502916825934178858723940651665
absolute error = 5.07980358542637105681165807e-24
relative error = 2.4776004451234556774785123751790e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=4.80
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.969
y[1] (analytic) = 0.20504572417126157047390782907634
y[1] (numeric) = 0.205045724171261570473902729161
absolute error = 5.09991534699582994895716173e-24
relative error = 2.4872088250600129823696068427903e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.9689
y[1] (analytic) = 0.20506228191613501826421049162573
y[1] (numeric) = 0.20506228191613501826420537157354
absolute error = 5.12005219061874491123264734e-24
relative error = 2.4968278626260041045471488699738e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.9688
y[1] (analytic) = 0.20507884149420247036988085477124
y[1] (numeric) = 0.20507884149420247036987571455711
absolute error = 5.14021413018984239349234203e-24
relative error = 2.5064575617544411636933387050082e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.558
x[1] = -1.9687
y[1] (analytic) = 0.20509540290570429772638066015653
y[1] (numeric) = 0.20509540290570429772637549975535
absolute error = 5.16040117961024380131904748e-24
relative error = 2.5160979263795668842419806913130e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.558
x[1] = -1.9686
y[1] (analytic) = 0.20511196615088090379617863115806
y[1] (numeric) = 0.2051119661508809037961734505447
absolute error = 5.18061335278746809541714725e-24
relative error = 2.5257489604368548816344700045903e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.558
x[1] = -1.9685
y[1] (analytic) = 0.20512853122997272457202367860175
y[1] (numeric) = 0.20512853122997272457201847775108
absolute error = 5.20085066363543439187177313e-24
relative error = 2.5354106678630099485758357002508e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.558
x[1] = -1.9684
y[1] (analytic) = 0.20514509814322022858021769078765
y[1] (numeric) = 0.20514509814322022858021246967452
absolute error = 5.22111312607446456327426620e-24
relative error = 2.5450830525959683412907766903577e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.558
x[1] = -1.9683
y[1] (analytic) = 0.20516166689086391688388790730543
y[1] (numeric) = 0.20516166689086391688388266590468
absolute error = 5.24140075403128584071406775e-24
relative error = 2.5547661185748980657796270118841e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.558
x[1] = -1.9682
y[1] (analytic) = 0.2051782374731443230862588761234
y[1] (numeric) = 0.20517823747314432308625361440984
absolute error = 5.26171356143903341663717547e-24
relative error = 2.5644598697401991640741868807538e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9681
y[1] (analytic) = 0.20519480989030201333392399343343
y[1] (numeric) = 0.20519480989030201333391871138187
absolute error = 5.28205156223725304857129983e-24
relative error = 2.5741643100335040004933557932112e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.968
y[1] (analytic) = 0.20521138414257758632011662573384
y[1] (numeric) = 0.20521138414257758632011132331907
absolute error = 5.30241477037190366371785567e-24
relative error = 2.5838794433976775478985039908446e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9679
y[1] (analytic) = 0.20522796023021167328798081363204
y[1] (numeric) = 0.20522796023021167328797549082884
absolute error = 5.32280319979535996441092381e-24
relative error = 2.5936052737768176739485185092799e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9678
y[1] (analytic) = 0.20524453815344493803384155684846
y[1] (numeric) = 0.20524453815344493803383621363159
absolute error = 5.34321686446641503444331738e-24
relative error = 2.6033418051162554273544599830648e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9677
y[1] (analytic) = 0.20526111791251807691047467990293
y[1] (numeric) = 0.20526111791251807691046931624715
absolute error = 5.36365577835028294625988727e-24
relative error = 2.6130890413625553241337662392506e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9676
y[1] (analytic) = 0.20527769950767181883037627796453
y[1] (numeric) = 0.20527769950767181883037089384457
absolute error = 5.38411995541860136901820132e-24
relative error = 2.6228469864635156338639388255946e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9675
y[1] (analytic) = 0.20529428293914692526903174234541
y[1] (numeric) = 0.205294282939146925269026337736
absolute error = 5.40460940964943417751673129e-24
relative error = 2.6326156443681686659356483429725e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9674
y[1] (analytic) = 0.20531086820718419026818436511913
y[1] (numeric) = 0.20531086820718419026817893999498
absolute error = 5.42512415502727406199068190e-24
relative error = 2.6423950190267810558051945797336e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
memory used=72.4MB, alloc=4.4MB, time=5.08
x[1] = -1.9673
y[1] (analytic) = 0.20532745531202444043910352234342
y[1] (numeric) = 0.20532745531202444043909807667922
absolute error = 5.44566420554304513877559584e-24
relative error = 2.6521851143908540512462572621004e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.9672
y[1] (analytic) = 0.20534404425390853496585243536722
y[1] (numeric) = 0.20534404425390853496584696913765
absolute error = 5.46622957519410556183886868e-24
relative error = 2.6619859344131237986008732557665e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.9671
y[1] (analytic) = 0.20536063503307736560855550970149
y[1] (numeric) = 0.20536063503307736560855002288121
absolute error = 5.48682027798425013517930726e-24
relative error = 2.6717974830475616290295758898555e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.967
y[1] (analytic) = 0.20537722764977185670666525093298
y[1] (numeric) = 0.20537722764977185670665974349665
absolute error = 5.50743632792371292609486532e-24
relative error = 2.6816197642493743447606321686093e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.9669
y[1] (analytic) = 0.20539382210423296518222875715987
y[1] (numeric) = 0.20539382210423296518222322908213
absolute error = 5.52807773902916987931868966e-24
relative error = 2.6914527819750045053383134138594e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.9668
y[1] (analytic) = 0.20541041839670168054315378742796
y[1] (numeric) = 0.20541041839670168054314823868343
absolute error = 5.54874452532374143202361019e-24
relative error = 2.7012965401821307138701349220864e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.9667
y[1] (analytic) = 0.20542701652741902488647440564567
y[1] (numeric) = 0.20542701652741902488646883620896
absolute error = 5.56943670083699512969520701e-24
relative error = 2.7111510428296679032730001194369e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.9666
y[1] (analytic) = 0.20544361649662605290161619945597
y[1] (numeric) = 0.20544361649662605290161060930169
absolute error = 5.59015427960494824287358769e-24
relative error = 2.7210162938777676225181847194099e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.9665
y[1] (analytic) = 0.205460218304563851873661073543
y[1] (numeric) = 0.20546021830456385187365546264572
absolute error = 5.61089727567007038476400729e-24
relative error = 2.7308922972878183228750960880321e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.557
x[1] = -1.9664
y[1] (analytic) = 0.20547682195147354168661161685076
y[1] (numeric) = 0.20547682195147354168660598518505
absolute error = 5.63166570308128612971646426e-24
relative error = 2.7407790570224456441537433202947e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.557
x[1] = -1.9663
y[1] (analytic) = 0.20549342743759627482665504319124
y[1] (numeric) = 0.20549342743759627482664939073166
absolute error = 5.65245957589397763257440466e-24
relative error = 2.7506765770455127009458531977460e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.557
x[1] = -1.9662
y[1] (analytic) = 0.20551003476317323638542670471869
y[1] (numeric) = 0.20551003476317323638542103143978
absolute error = 5.67327890816998724889266700e-24
relative error = 2.7605848613221203688645671360087e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.557
x[1] = -1.9661
y[1] (analytic) = 0.20552664392844564406327317774677
y[1] (numeric) = 0.20552664392844564406326748362306
absolute error = 5.69412371397762015602480038e-24
relative error = 2.7705039138186075707826544229317e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.966
y[1] (analytic) = 0.20554325493365474817251492038488
y[1] (numeric) = 0.20554325493365474817250920539087
absolute error = 5.71499400739164697507988784e-24
relative error = 2.7804337385025515630691766804103e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9659
y[1] (analytic) = 0.20555986777904183164070850146957
y[1] (numeric) = 0.20555986777904183164070276557977
absolute error = 5.73588980249330639374900706e-24
relative error = 2.7903743393427682218245386019915e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9658
y[1] (analytic) = 0.20557648246484821001390840026705
y[1] (numeric) = 0.20557648246484821001390264345594
absolute error = 5.75681111337030779000146037e-24
relative error = 2.8003257203093123291138599379491e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9657
y[1] (analytic) = 0.2055930989913152314599283764219
y[1] (numeric) = 0.20559309899131523145992259866395
absolute error = 5.77775795411683385665090570e-24
relative error = 2.8102878853734778591986035462007e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9656
y[1] (analytic) = 0.20560971735868427677160240962746
y[1] (numeric) = 0.20560971735868427677159661089712
absolute error = 5.79873033883354322679152034e-24
relative error = 2.8202608385077982647663944514726e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.4MB, time=5.35
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9655
y[1] (analytic) = 0.20562633756719675937004520849251
y[1] (numeric) = 0.20562633756719675937003938876423
absolute error = 5.81972828162757310010432868e-24
relative error = 2.8302445836860467631589645219371e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9654
y[1] (analytic) = 0.20564295961709412530791228807907
y[1] (numeric) = 0.20564295961709412530790644732727
absolute error = 5.84075179661254187003382556e-24
relative error = 2.8402391248832366225981576037103e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9653
y[1] (analytic) = 0.20565958350861785327265961558534
y[1] (numeric) = 0.20565958350861785327265375378445
absolute error = 5.86180089790855175183502630e-24
relative error = 2.8502444660756214484099296886378e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9652
y[1] (analytic) = 0.20567620924200945458980282364805
y[1] (numeric) = 0.20567620924200945458979694077245
absolute error = 5.88287559964219141149107443e-24
relative error = 2.8602606112406954692462786740122e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.9651
y[1] (analytic) = 0.2056928368175104732261759907377
y[1] (numeric) = 0.20569283681751047322617008676178
absolute error = 5.90397591594653859550153819e-24
relative error = 2.8702875643571938233050383047207e-21 %
h = 0.0001
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) = 0.20570946623536248579318406301842
absolute error = 5.92510186096116276154152644e-24
relative error = 2.8803253294050928445474706868289e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9649
y[1] (analytic) = 0.20572609749580710155009039285849
y[1] (numeric) = 0.20572609749580710155008444660504
absolute error = 5.94625344883212770999175472e-24
relative error = 2.8903739103656103489135918179045e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9648
y[1] (analytic) = 0.20574273059908596240721496632535
y[1] (numeric) = 0.20574273059908596240720899889465
absolute error = 5.96743069371199421633969189e-24
relative error = 2.9004333112212059205351644363727e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9647
y[1] (analytic) = 0.20575936554544074292925069770275
y[1] (numeric) = 0.20575936554544074292924470906914
absolute error = 5.98863360975982266445191772e-24
relative error = 2.9105035359555811979462924708088e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9646
y[1] (analytic) = 0.20577600233511315033849041193714
y[1] (numeric) = 0.20577600233511315033848440207492
absolute error = 6.00986221114117568071782164e-24
relative error = 2.9205845885536801602915513001142e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9645
y[1] (analytic) = 0.2057926409683449245180889416244
y[1] (numeric) = 0.20579264096834492451808291050788
absolute error = 6.03111651202812076906477280e-24
relative error = 2.9306764730016894135315880142321e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9644
y[1] (analytic) = 0.20580928144537783801531886229551
y[1] (numeric) = 0.20580928144537783801531280989899
absolute error = 6.05239652659923294684489117e-24
relative error = 2.9407791932870384766461256688665e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9643
y[1] (analytic) = 0.20582592376645369604482579057444
y[1] (numeric) = 0.20582592376645369604481971687217
absolute error = 6.07370226903959738159354972e-24
relative error = 2.9508927533984000678343056863167e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.9642
y[1] (analytic) = 0.20584256793181433649188324467927
y[1] (numeric) = 0.20584256793181433649187714964552
absolute error = 6.09503375354081202865973709e-24
relative error = 2.9610171573256903907123022564156e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.556
x[1] = -1.9641
y[1] (analytic) = 0.20585921394170162991564706673748
y[1] (numeric) = 0.20585921394170162991564095034649
absolute error = 6.11639099430099026970841035e-24
relative error = 2.9711524090600694205081426920083e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.556
x[1] = -1.964
y[1] (analytic) = 0.20587586179635747955240940638578
y[1] (numeric) = 0.20587586179635747955240326861177
absolute error = 6.13777400552476355209496723e-24
relative error = 2.9812985125939411902536675946410e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.556
x[1] = -1.9639
y[1] (analytic) = 0.20589251149602382131885226512472
y[1] (numeric) = 0.20589251149602382131884610594191
absolute error = 6.15918280142328402911196698e-24
relative error = 2.9914554719209540769735645874576e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9638
y[1] (analytic) = 0.20590916304094262381530060089812
y[1] (numeric) = 0.20590916304094262381529442028073
absolute error = 6.18061739621422720110822890e-24
relative error = 3.0016232910360010878714093222760e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=5.62
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9637
y[1] (analytic) = 0.20592581643135588832897499236679
y[1] (numeric) = 0.20592581643135588832896879028899
absolute error = 6.20207780412179455748043750e-24
relative error = 3.0118019739352201465126474372689e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9636
y[1] (analytic) = 0.20594247166750564883724386234594
y[1] (numeric) = 0.2059424716675056488372376387819
absolute error = 6.22356403937671621953738306e-24
relative error = 3.0219915246159943790044510577523e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9635
y[1] (analytic) = 0.20595912874963397201087525987537
y[1] (numeric) = 0.20595912874963397201086901479925
absolute error = 6.24507611621625358423696622e-24
relative error = 3.0321919470769524001723833730127e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9634
y[1] (analytic) = 0.20597578767798295721728820039111
y[1] (numeric) = 0.20597578767798295721728193377706
absolute error = 6.26661404888420196879609506e-24
relative error = 3.0424032453179685997338047480315e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9633
y[1] (analytic) = 0.20599244845279473652380356346707
y[1] (numeric) = 0.20599244845279473652379727528922
absolute error = 6.28817785163089325617360302e-24
relative error = 3.0526254233401634284679537840836e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9632
y[1] (analytic) = 0.20600911107431147470089454759476
y[1] (numeric) = 0.20600911107431147470088823782722
absolute error = 6.30976753871319854142631584e-24
relative error = 3.0628584851459036843826366682315e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9631
y[1] (analytic) = 0.20602577554277536922543668146899
y[1] (numeric) = 0.20602577554277536922543035008587
absolute error = 6.33138312439453077893839564e-24
relative error = 3.0731024347388027988774581312423e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.963
y[1] (analytic) = 0.20604244185842865028395739124719
y[1] (numeric) = 0.20604244185842865028395103822257
absolute error = 6.35302462294484743052408988e-24
relative error = 3.0833572761237211229035271576806e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.9629
y[1] (analytic) = 0.20605911002151358077588512324955
y[1] (numeric) = 0.2060591100215135807758787485575
absolute error = 6.37469204864065311440401318e-24
relative error = 3.0936230133067662131195707171869e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9628
y[1] (analytic) = 0.206075780032272456316798021567
y[1] (numeric) = 0.20607578003227245631679162518159
absolute error = 6.39638541576500225505508935e-24
relative error = 3.1038996502952931180443884889566e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9627
y[1] (analytic) = 0.2060924518909476052416721600438
y[1] (numeric) = 0.20609245189094760524166574193906
absolute error = 6.41810473860750173393428136e-24
relative error = 3.1141871910979046642055817447401e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9626
y[1] (analytic) = 0.20610912559778138860812932810099
y[1] (numeric) = 0.20610912559778138860812288825096
absolute error = 6.43985003146431354107623627e-24
relative error = 3.1244856397244517422844892200253e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9625
y[1] (analytic) = 0.20612580115301620019968436986698
y[1] (numeric) = 0.20612580115301620019967790824568
absolute error = 6.46162130863815742756497262e-24
relative error = 3.1347950001860335932572630449747e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9624
y[1] (analytic) = 0.20614247855689446652899207608102
y[1] (numeric) = 0.20614247855689446652898559266244
absolute error = 6.48341858443831355887973699e-24
relative error = 3.1451152764949980945320174323671e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9623
y[1] (analytic) = 0.20615915780965864684109362823499
y[1] (numeric) = 0.20615915780965864684108712299312
absolute error = 6.50524187318062516911515676e-24
relative error = 3.1554464726649420460819829841743e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9622
y[1] (analytic) = 0.20617583891155123311666259441895
y[1] (numeric) = 0.20617583891155123311665606732776
absolute error = 6.52709118918750121607581584e-24
relative error = 3.1657885927107114565745993613697e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9621
y[1] (analytic) = 0.20619252186281475007525047633514
y[1] (numeric) = 0.20619252186281475007524392736859
absolute error = 6.54896654678791903724537983e-24
relative error = 3.1761416406484018294964789203814e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
memory used=83.9MB, alloc=4.4MB, time=5.90
x[1] = -1.962
y[1] (analytic) = 0.20620920666369175517853180694529
y[1] (numeric) = 0.20620920666369175517852523607733
absolute error = 6.57086796031742700663039704e-24
relative error = 3.1865056204953584492741739143246e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.9619
y[1] (analytic) = 0.20622589331442483863354879821541
y[1] (numeric) = 0.20622589331442483863354220541997
absolute error = 6.59279544411814719247890179e-24
relative error = 3.1968805362701766673906798615831e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.555
x[1] = -1.9618
y[1] (analytic) = 0.20624258181525662339595553842221
y[1] (numeric) = 0.20624258181525662339594892367319
absolute error = 6.61474901253877801587394594e-24
relative error = 3.2072663919927021884976074657241e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9617
y[1] (analytic) = 0.20625927216642976517326173848486
y[1] (numeric) = 0.20625927216642976517325510175618
absolute error = 6.63672867993459691020218482e-24
relative error = 3.2176631916840313565229555868467e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9616
y[1] (analytic) = 0.20627596436818695242807602678564
y[1] (numeric) = 0.20627596436818695242806936805118
absolute error = 6.65873446066746298149764312e-24
relative error = 3.2280709393665114407744174781407e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9615
y[1] (analytic) = 0.20629265842077090638134879194246
y[1] (numeric) = 0.20629265842077090638134211117609
absolute error = 6.68076636910581966966078684e-24
relative error = 3.2384896390637409220381527727934e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9614
y[1] (analytic) = 0.20630935432442438101561457299629
y[1] (numeric) = 0.20630935432442438101560787017187
absolute error = 6.70282441962469741055302636e-24
relative error = 3.2489192948005697786729572117171e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9613
y[1] (analytic) = 0.20632605207939016307823399647606
y[1] (numeric) = 0.20632605207939016307822727156744
absolute error = 6.72490862660571629896677638e-24
relative error = 3.2593599106030997726997624467693e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9612
y[1] (analytic) = 0.20634275168591107208463525980319
y[1] (numeric) = 0.20634275168591107208462851278418
absolute error = 6.74701900443708875247119779e-24
relative error = 3.2698114904986847358863979292993e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9611
y[1] (analytic) = 0.20635945314422996032155516049781
y[1] (numeric) = 0.20635945314422996032154839134224
absolute error = 6.76915556751362217613374661e-24
relative error = 3.2802740385159308558275469424192e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.961
y[1] (analytic) = 0.20637615645458971285027967064842
y[1] (numeric) = 0.20637615645458971285027287933009
absolute error = 6.79131833023672162811765493e-24
relative error = 3.2907475586846969620198287434069e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9609
y[1] (analytic) = 0.20639286161723324750988405610624
y[1] (numeric) = 0.20639286161723324750987724259893
absolute error = 6.81350730701439248615546854e-24
relative error = 3.3012320550360948119319386762203e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9608
y[1] (analytic) = 0.20640956863240351492047253986545
y[1] (numeric) = 0.20640956863240351492046570414294
absolute error = 6.83572251226124311489876611e-24
relative error = 3.3117275316024893770697782063907e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.9607
y[1] (analytic) = 0.20642627750034349848641750909007
y[1] (numeric) = 0.20642627750034349848641065112611
absolute error = 6.85796396039848753414418415e-24
relative error = 3.3222339924174991290365065352598e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9606
y[1] (analytic) = 0.20644298822129621439959826524801
y[1] (numeric) = 0.20644298822129621439959138501634
absolute error = 6.88023166585394808793587224e-24
relative error = 3.3327514415159963255874455865606e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9605
y[1] (analytic) = 0.20645970079550471164263931681246
y[1] (numeric) = 0.20645970079550471164263241428682
absolute error = 6.90252564306205811454450263e-24
relative error = 3.3432798829341072966797699794688e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9604
y[1] (analytic) = 0.20647641522321207199214821399057
y[1] (numeric) = 0.20647641522321207199214128914466
absolute error = 6.92484590646386461732295831e-24
relative error = 3.3538193207092127305169136123999e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9603
y[1] (analytic) = 0.20649313150466141002195292493897
y[1] (numeric) = 0.2064931315046614100219459777465
absolute error = 6.94719247050703093643882334e-24
relative error = 3.3643697588799479595876243418686e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=6.17
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9602
y[1] (analytic) = 0.20650984964009587310633875292551
y[1] (numeric) = 0.20650984964009587310633178336016
absolute error = 6.96956534964583942148379925e-24
relative error = 3.3749312014862032466995982606764e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9601
y[1] (analytic) = 0.20652656962975864142328479389622
y[1] (numeric) = 0.20652656962975864142327780193166
absolute error = 6.99196455834119410496017102e-24
relative error = 3.3855036525691240710076249447074e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.96
y[1] (analytic) = 0.20654329147389292795769993390615
y[1] (numeric) = 0.20654329147389292795769291951604
absolute error = 7.01439011106062337664444606e-24
relative error = 3.3960871161711114140361750044096e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9599
y[1] (analytic) = 0.20656001517274197850465838587258
y[1] (numeric) = 0.20656001517274197850465134903056
absolute error = 7.03684202227828265882828951e-24
relative error = 3.4066815963358220456963612390411e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9598
y[1] (analytic) = 0.20657674072654907167263476510874
y[1] (numeric) = 0.20657674072654907167262770578843
absolute error = 7.05932030647495708243687895e-24
relative error = 3.4172870971081688102972045908698e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9597
y[1] (analytic) = 0.20659346813555751888673870309574
y[1] (numeric) = 0.20659346813555751888673162127077
absolute error = 7.08182497813806416402480140e-24
relative error = 3.4279036225343209125511360054026e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.9596
y[1] (analytic) = 0.20661019740001066439194899895045
y[1] (numeric) = 0.2066101974000106643919418945944
absolute error = 7.10435605176165648364961558e-24
relative error = 3.4385311766617042035736653578837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9595
y[1] (analytic) = 0.2066269285201518852563473080463
y[1] (numeric) = 0.20662692852015188525634018113275
absolute error = 7.12691354184642436362320191e-24
relative error = 3.4491697635390014668771483797513e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9594
y[1] (analytic) = 0.20664366149622459137435136724415
y[1] (numeric) = 0.20664366149622459137434421774668
absolute error = 7.14949746289969854814102287e-24
relative error = 3.4598193872161527043585825972370e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9593
y[1] (analytic) = 0.20666039632847222546994775618981
y[1] (numeric) = 0.20666039632847222546994058408198
absolute error = 7.17210782943545288378941605e-24
relative error = 3.4704800517443554222813631646853e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9592
y[1] (analytic) = 0.20667713301713826309992419413444
y[1] (numeric) = 0.20667713301713826309991699938979
absolute error = 7.19474465597430700093104197e-24
relative error = 3.4811517611760649172509293650201e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9591
y[1] (analytic) = 0.20669387156246621265710137173401
y[1] (numeric) = 0.20669387156246621265709415432605
absolute error = 7.21740795704352899596860888e-24
relative error = 3.4918345195649945621842326235853e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.959
y[1] (analytic) = 0.20671061196469961537356431728343
y[1] (numeric) = 0.20671061196469961537355707718568
absolute error = 7.24009774717703811448699631e-24
relative error = 3.5025283309661160922729566795957e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9589
y[1] (analytic) = 0.20672735422408204532389329684094
y[1] (numeric) = 0.2067273542240820453238860340269
absolute error = 7.26281404091540743527389906e-24
relative error = 3.5132331994356598909404205317567e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9588
y[1] (analytic) = 0.20674409834085710942839424769776
y[1] (numeric) = 0.2067440983408571094283869621409
absolute error = 7.28555685280586655521911336e-24
relative error = 3.5239491290311152757920948050054e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9587
y[1] (analytic) = 0.20676084431526844745632874464787
y[1] (numeric) = 0.20676084431526844745632143632168
absolute error = 7.30832619740230427509258648e-24
relative error = 3.5346761238112307845596619787337e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.9586
y[1] (analytic) = 0.2067775921475597320291434985126
y[1] (numeric) = 0.20677759214755973202913616739051
absolute error = 7.33112208926527128620135102e-24
relative error = 3.5454141878360144610385509038682e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9585
y[1] (analytic) = 0.20679434183797466862369938637398
y[1] (numeric) = 0.20679434183797466862369203242944
absolute error = 7.35394454296198285792546520e-24
relative error = 3.5561633251667341410188760909241e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=6.43
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9584
y[1] (analytic) = 0.20681109338675699557550001297119
y[1] (numeric) = 0.20681109338675699557549263617762
absolute error = 7.37679357306632152613307977e-24
relative error = 3.5669235398659177382097119238799e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9583
y[1] (analytic) = 0.20682784679415048408191980271337
y[1] (numeric) = 0.20682784679415048408191240304418
absolute error = 7.39966919415883978247475272e-24
relative error = 3.5776948359973535301566322369061e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9582
y[1] (analytic) = 0.20684460206039893820543162176237
y[1] (numeric) = 0.20684460206039893820542419919095
absolute error = 7.42257142082676276455713203e-24
relative error = 3.5884772176260904441524452477952e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9581
y[1] (analytic) = 0.20686135918574619487683392963844
y[1] (numeric) = 0.20686135918574619487682648413817
absolute error = 7.44550026766399094699612728e-24
relative error = 3.5992706888184383431410541338886e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.958
y[1] (analytic) = 0.20687811817043612389847745980151
y[1] (numeric) = 0.20687811817043612389846999134576
absolute error = 7.46845574927110283334969018e-24
relative error = 3.6100752536419683116143731803238e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9579
y[1] (analytic) = 0.20689487901471262794749142866068
y[1] (numeric) = 0.2068948790147126279474839372228
absolute error = 7.49143788025535764893032440e-24
relative error = 3.6208909161655129415022295967310e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9578
y[1] (analytic) = 0.20691164171881964257900927246382
y[1] (numeric) = 0.20691164171881964257900175801715
absolute error = 7.51444667523069803449744447e-24
relative error = 3.6317176804591666180551808152474e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9577
y[1] (analytic) = 0.20692840628300113622939391151943
y[1] (numeric) = 0.20692840628300113622938637403728
absolute error = 7.53748214881775274082970396e-24
relative error = 3.6425555505942858057201773070967e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9576
y[1] (analytic) = 0.20694517270750111021946254120196
y[1] (numeric) = 0.20694517270750111021945498065764
absolute error = 7.56054431564383932417741210e-24
relative error = 3.6534045306434893340090004592217e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.9575
y[1] (analytic) = 0.20696194099256359875771094919214
y[1] (numeric) = 0.20696194099256359875770336555895
absolute error = 7.58363319034296684259515901e-24
relative error = 3.6642646246806586833594055524262e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.554
x[1] = -1.9574
y[1] (analytic) = 0.20697871113843266894353735840307
y[1] (numeric) = 0.20697871113843266894352975165428
absolute error = 7.60674878755583855315476832e-24
relative error = 3.6751358367809382709888992225628e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.554
x[1] = -1.9573
y[1] (analytic) = 0.20699548314535242077046579504277
y[1] (numeric) = 0.20699548314535242077045816515165
absolute error = 7.62989112192985461003869680e-24
relative error = 3.6860181710207357367410812042048e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.9572
y[1] (analytic) = 0.20701225701356698712936898126354
y[1] (numeric) = 0.20701225701356698712936132820333
absolute error = 7.65306020811911476351399998e-24
relative error = 3.6969116314777222289244798589147e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.9571
y[1] (analytic) = 0.20702903274332053381169075184811
y[1] (numeric) = 0.20702903274332053381168307559204
absolute error = 7.67625606078442105978698239e-24
relative error = 3.7078162222308326901438108332136e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.957
y[1] (analytic) = 0.20704581033485725951266799438243
y[1] (numeric) = 0.20704581033485725951266029490374
absolute error = 7.69947869459328054173865160e-24
relative error = 3.7187319473602661431235884691608e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.9569
y[1] (analytic) = 0.20706258978842139583455211236444
y[1] (numeric) = 0.20706258978842139583454438963631
absolute error = 7.72272812421990795054109434e-24
relative error = 3.7296588109474859765240191678041e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.9568
y[1] (analytic) = 0.20707937110425720728983001069789
y[1] (numeric) = 0.20707937110425720728982226469352
absolute error = 7.74600436434522842815489310e-24
relative error = 3.7405968170752202307491059760019e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
memory used=95.3MB, alloc=4.4MB, time=6.70
x[1] = -1.9567
y[1] (analytic) = 0.20709615428260899130444460302027
y[1] (numeric) = 0.20709615428260899130443683371284
absolute error = 7.76930742965688022070770173e-24
relative error = 3.7515459698274618837468937373261e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.9566
y[1] (analytic) = 0.20711293932372107822101484031315
y[1] (numeric) = 0.20711293932372107822100704767581
absolute error = 7.79263733484921738275409786e-24
relative error = 3.7625062732894691368017838220069e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.9565
y[1] (analytic) = 0.20712972622783783130205526024323
y[1] (numeric) = 0.20712972622783783130204744424913
absolute error = 7.81599409462331248241683024e-24
relative error = 3.7734777315477657003188475985262e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.9564
y[1] (analytic) = 0.20714651499520364673319505668208
y[1] (numeric) = 0.20714651499520364673318721730436
absolute error = 7.83937772368695930740957877e-24
relative error = 3.7844603486901410796000676625371e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9563
y[1] (analytic) = 0.20716330562606295362639666885216
y[1] (numeric) = 0.20716330562606295362638880606393
absolute error = 7.86278823675467557194134476e-24
relative error = 3.7954541288056508606124357402627e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9562
y[1] (analytic) = 0.20718009812066021402317388954637
y[1] (numeric) = 0.20718009812066021402316600332072
absolute error = 7.88622564854770562450258898e-24
relative error = 3.8064590759846169957478362057507e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9561
y[1] (analytic) = 0.20719689247923992289780949186825
y[1] (numeric) = 0.20719689247923992289780158217827
absolute error = 7.90968997379402315653323469e-24
relative error = 3.8174751943186280895746439853663e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.956
y[1] (analytic) = 0.20721368870204660816057237393948
y[1] (numeric) = 0.20721368870204660816056444075825
absolute error = 7.93318122722833391197265292e-24
relative error = 3.8285024879005396845809656742133e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9559
y[1] (analytic) = 0.20723048678932483066093422102115
y[1] (numeric) = 0.20723048678932483066092626432173
absolute error = 7.95669942359207839769174680e-24
relative error = 3.8395409608244745469094524750574e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9558
y[1] (analytic) = 0.20724728674131918419078568449481
y[1] (numeric) = 0.20724728674131918419077770425023
absolute error = 7.98024457763343459480725199e-24
relative error = 3.8505906171858229520836137037946e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9557
y[1] (analytic) = 0.20726408855827429548765207714919
y[1] (numeric) = 0.20726408855827429548764407333249
absolute error = 8.00381670410732067087836952e-24
relative error = 3.8616514610812429707255592612455e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9556
y[1] (analytic) = 0.20728089224043482423790858421811
y[1] (numeric) = 0.20728089224043482423790055680229
absolute error = 8.02741581777539769298584795e-24
relative error = 3.8727234966086607542650997735295e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9555
y[1] (analytic) = 0.20729769778804546307999498961464
y[1] (numeric) = 0.20729769778804546307998693857271
absolute error = 8.05104193340607234169363084e-24
relative error = 3.8838067278672708206401326722951e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9554
y[1] (analytic) = 0.2073145052013509376076299168066
y[1] (numeric) = 0.20731450520135093760762184211153
absolute error = 8.07469506577449962589318574e-24
relative error = 3.8949011589575363399882426053331e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.9553
y[1] (analytic) = 0.20733131448059600637302458377777
y[1] (numeric) = 0.20733131448059600637301648540254
absolute error = 8.09837522966258559853063093e-24
relative error = 3.9060067939811894203294445908071e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.553
x[1] = -1.9552
y[1] (analytic) = 0.20734812562602546089009607151938
y[1] (numeric) = 0.20734812562602546089008794943694
absolute error = 8.12208243985899007321677544e-24
relative error = 3.9171236370412313932399980038131e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.553
x[1] = -1.9551
y[1] (analytic) = 0.2073649386378841256376801054955
y[1] (numeric) = 0.20736493863788412563767195967879
absolute error = 8.14581671115912934172018828e-24
relative error = 3.9282516922419330995172196901686e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.553
x[1] = -1.955
y[1] (analytic) = 0.20738175351641685806274334952639
y[1] (numeric) = 0.20738175351641685806273517994833
absolute error = 8.16957805836517889234341215e-24
relative error = 3.9393909636888351748352241972604e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=6.97
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.9549
y[1] (analytic) = 0.20739857026186854858359521153286
y[1] (numeric) = 0.20739857026186854858358701816637
absolute error = 8.19336649628607612918243723e-24
relative error = 3.9505414554887483353915192842858e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.9548
y[1] (analytic) = 0.20741538887448412059309916058494
y[1] (numeric) = 0.2074153888744841205930909434029
absolute error = 8.21718203973752309226954998e-24
relative error = 3.9617031717497536635443845645007e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.9547
y[1] (analytic) = 0.20743220935450853046188355469749
y[1] (numeric) = 0.20743220935450853046187531367278
absolute error = 8.24102470354198917859967219e-24
relative error = 3.9728761165812028934409612950476e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.9546
y[1] (analytic) = 0.20744903170218676754155197881524
y[1] (numeric) = 0.20744903170218676754154371392074
absolute error = 8.26489450252871386404030497e-24
relative error = 3.9840602940937186966359810782440e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.9545
y[1] (analytic) = 0.20746585591776385416789309242951
y[1] (numeric) = 0.20746585591776385416788480363806
absolute error = 8.28879145153370942612519240e-24
relative error = 3.9952557083991949677010612662766e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.9544
y[1] (analytic) = 0.2074826820014848456640899862683
y[1] (numeric) = 0.20748268200148484566408167355273
absolute error = 8.31271556539976366773181950e-24
relative error = 4.0064623636107971098244948459396e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.9543
y[1] (analytic) = 0.20749950995359483034392904750137
y[1] (numeric) = 0.20749950995359483034392071083451
absolute error = 8.33666685897644264164285859e-24
relative error = 4.0176802638429623204014623093485e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9542
y[1] (analytic) = 0.20751633977433892951500833290163
y[1] (numeric) = 0.20751633977433892951499997225628
absolute error = 8.36064534712009337599167856e-24
relative error = 4.0289094132113998766145932472423e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9541
y[1] (analytic) = 0.20753317146396229748194544940365
y[1] (numeric) = 0.20753317146396229748193706475261
absolute error = 8.38465104469384660059203087e-24
relative error = 4.0401498158330914210048050778825e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.954
y[1] (analytic) = 0.20755000502271012154958494149996
y[1] (numeric) = 0.20755000502271012154957653281599
absolute error = 8.40868396656761947415202612e-24
relative error = 4.0514014758262912470323463481190e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9539
y[1] (analytic) = 0.20756684045082762202620518491548
y[1] (numeric) = 0.20756684045082762202619675217135
absolute error = 8.43274412761811831237251507e-24
relative error = 4.0626643973105265846279720763844e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9538
y[1] (analytic) = 0.20758367774856005222672478600012
y[1] (numeric) = 0.20758367774856005222671632916858
absolute error = 8.45683154272884131692998741e-24
relative error = 4.0739385844065978857341783418959e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9537
y[1] (analytic) = 0.20760051691615269847590848627919
y[1] (numeric) = 0.20760051691615269847590000533296
absolute error = 8.48094622679008130534410178e-24
relative error = 4.0852240412365791098364234347889e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9536
y[1] (analytic) = 0.20761735795385088011157257160108
y[1] (numeric) = 0.20761735795385088011156406651289
absolute error = 8.50508819469892844172996026e-24
relative error = 4.0965207719238180094842627610985e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9535
y[1] (analytic) = 0.20763420086189994948778978532129
y[1] (numeric) = 0.20763420086189994948778125606383
absolute error = 8.52925746135927296843524016e-24
relative error = 4.1078287805929364158023245228276e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9534
y[1] (analytic) = 0.20765104564054529197809374496161
y[1] (numeric) = 0.20765104564054529197808519150757
absolute error = 8.55345404168180793856229625e-24
relative error = 4.1191480713698305239910533569045e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9533
y[1] (analytic) = 0.20766789229003232597868286178292
y[1] (numeric) = 0.20766789229003232597867428410497
absolute error = 8.57767795058403194937534586e-24
relative error = 4.1304786483816711788171487891385e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.9532
y[1] (analytic) = 0.20768474081060650291162376270985
y[1] (numeric) = 0.20768474081060650291161516078065
absolute error = 8.60192920299025187659284955e-24
relative error = 4.1418205157569041600936255037038e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.4MB, time=7.24
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.9531
y[1] (analytic) = 0.20770159120251330722805421404502
y[1] (numeric) = 0.2077015912025133072280455878372
absolute error = 8.62620781383158560956519957e-24
relative error = 4.1531736776252504681494222119294e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.953
y[1] (analytic) = 0.20771844346599825641138554641064
y[1] (numeric) = 0.20771844346599825641137689589684
absolute error = 8.65051379804596478733782844e-24
relative error = 4.1645381381177066092884859716304e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.9529
y[1] (analytic) = 0.20773529760130690098050458035454
y[1] (numeric) = 0.20773529760130690098049590550737
absolute error = 8.67484717057813753559984952e-24
relative error = 4.1759139013665448812382586012606e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.9528
y[1] (analytic) = 0.2077521536086848244929750520577
y[1] (numeric) = 0.20775215360868482449296635284976
absolute error = 8.69920794637967120451834156e-24
relative error = 4.1873009715053136585874919055533e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.9527
y[1] (analytic) = 0.20776901148837764354823853857987
y[1] (numeric) = 0.20776901148837764354822981498373
absolute error = 8.72359614040895510745838874e-24
relative error = 4.1986993526688376782133182128936e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.9526
y[1] (analytic) = 0.20778587124063100779081488207956
y[1] (numeric) = 0.2077858712406310077908061340678
absolute error = 8.74801176763120326058898792e-24
relative error = 4.2101090489932183246975028404867e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.551
x[1] = -1.9525
y[1] (analytic) = 0.20780273286569059991350211244466
y[1] (numeric) = 0.20780273286569059991349333998981
absolute error = 8.77245484301845712337493422e-24
relative error = 4.2215300646158339157318048293534e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.551
x[1] = -1.9524
y[1] (analytic) = 0.20781959636380213566057586776901
y[1] (numeric) = 0.20781959636380213566056707084363
absolute error = 8.79692538154958833995479629e-24
relative error = 4.2329624036753399875123724215626e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.551
x[1] = -1.9523
y[1] (analytic) = 0.20783646173521136383098831211082
y[1] (numeric) = 0.20783646173521136383097949068742
absolute error = 8.82142339821030148140509213e-24
relative error = 4.2444060703116695801230995263668e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.551
x[1] = -1.9522
y[1] (analytic) = 0.20785332898016406628156654996755
y[1] (numeric) = 0.20785332898016406628155770401865
absolute error = 8.84594890799313678889077638e-24
relative error = 4.2558610686660335229078694657648e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.551
x[1] = -1.9521
y[1] (analytic) = 0.20787019809890605793021053690251
y[1] (numeric) = 0.20787019809890605793020166640058
absolute error = 8.87050192589747291770214973e-24
relative error = 4.2673274028809207198316121751094e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.952
y[1] (analytic) = 0.20788706909168318675909048575724
y[1] (numeric) = 0.20788706909168318675908159067477
absolute error = 8.89508246692952968217830079e-24
relative error = 4.2788050771000984348301009003340e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9519
y[1] (analytic) = 0.20790394195874133381784376788422
y[1] (numeric) = 0.20790394195874133381783484819368
absolute error = 8.91969054610237080151719108e-24
relative error = 4.2902940954686125771484146024663e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9518
y[1] (analytic) = 0.20792081670032641322677130883351
y[1] (numeric) = 0.20792081670032641322676236450733
absolute error = 8.94432617843590664647249287e-24
relative error = 4.3017944621327879866679918478999e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9517
y[1] (analytic) = 0.20793769331668437218003347792704
y[1] (numeric) = 0.20793769331668437218002450893766
absolute error = 8.96898937895689698693729015e-24
relative error = 4.3133061812402287192222022427838e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9516
y[1] (analytic) = 0.20795457180806119094884547115369
y[1] (numeric) = 0.20795457180806119094883647747353
absolute error = 8.99368016269895374041475241e-24
relative error = 4.3248292569398183319003611965830e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9515
y[1] (analytic) = 0.20797145217470288288467218681826
y[1] (numeric) = 0.20797145217470288288466316841972
absolute error = 9.01839854470254372137589089e-24
relative error = 4.3363636933817201683401138056686e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
memory used=106.8MB, alloc=4.4MB, time=7.50
x[1] = -1.9514
y[1] (analytic) = 0.20798833441685549442242259337676
y[1] (numeric) = 0.20798833441685549442241355023222
absolute error = 9.04314454001499139150450671e-24
relative error = 4.3479094947173776440081135430245e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9513
y[1] (analytic) = 0.20800521853476510508364358889051
y[1] (numeric) = 0.20800521853476510508363452097234
absolute error = 9.06791816369048161082944026e-24
relative error = 4.3594666650995145314689214412522e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9512
y[1] (analytic) = 0.208022104528677827479713351531
y[1] (numeric) = 0.20802210452867782747970425881157
absolute error = 9.09271943079006238974423091e-24
relative error = 4.3710352086821352456420513177626e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.9511
y[1] (analytic) = 0.20803899239883980731503418056721
y[1] (numeric) = 0.20803899239883980731502506301885
absolute error = 9.11754835638164764191429596e-24
relative error = 4.3826151296205251290470865393867e-21 %
h = 0.0001
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) = 0.20805588214549722339021568486185
absolute error = 9.14240495554001993807173759e-24
relative error = 4.3942064320712507370367937624314e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.9509
y[1] (analytic) = 0.2080727737688962876053123151423
y[1] (numeric) = 0.20807277376889628760530314785305
absolute error = 9.16728924334683326069788657e-24
relative error = 4.4058091201921601230181590999574e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.9508
y[1] (analytic) = 0.20808966726928324496292324897289
y[1] (numeric) = 0.20808966726928324496291405677166
absolute error = 9.19220123489061575959369087e-24
relative error = 4.4174231981423831236612718858652e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.9507
y[1] (analytic) = 0.20810656264690437357147461203261
y[1] (numeric) = 0.20810656264690437357146539489166
absolute error = 9.21714094526677250833805765e-24
relative error = 4.4290486700823316440959813847158e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.9506
y[1] (analytic) = 0.20812345990200598464836405095465
y[1] (numeric) = 0.20812345990200598464835480884626
absolute error = 9.24210838957758826163425666e-24
relative error = 4.4406855401736999430962515958567e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.9505
y[1] (analytic) = 0.20814035903483442252315964766208
y[1] (numeric) = 0.2081403590348344225231503805585
absolute error = 9.26710358293223021354449276e-24
relative error = 4.4523338125794649182521391626905e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.9504
y[1] (analytic) = 0.20815726004563606464078917779414
y[1] (numeric) = 0.2081572600456360646407798856676
absolute error = 9.29212654044675075661275565e-24
relative error = 4.4639934914638863911293195965980e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.9503
y[1] (analytic) = 0.20817416293465732156472885505757
y[1] (numeric) = 0.20817416293465732156471953788029
absolute error = 9.31717727724409024187605399e-24
relative error = 4.4756645809925073924160866038988e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.55
x[1] = -1.9502
y[1] (analytic) = 0.20819106770214463698019156093177
y[1] (numeric) = 0.20819106770214463698018221867596
absolute error = 9.34225580845407973976414149e-24
relative error = 4.4873470853321544470577495126653e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.55
x[1] = -1.9501
y[1] (analytic) = 0.20820797434834448769731455915644
y[1] (numeric) = 0.20820797434834448769730519179429
absolute error = 9.36736214921344380188784215e-24
relative error = 4.4990410086509378593783536202692e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.55
x[1] = -1.95
y[1] (analytic) = 0.20822488287350338365434669442998
y[1] (numeric) = 0.20822488287350338365433730193367
absolute error = 9.39249631466580322371608165e-24
relative error = 4.5107463551182519981896482124125e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9499
y[1] (analytic) = 0.20824179327786786792083507474665
y[1] (numeric) = 0.20824179327786786792082565708833
absolute error = 9.41765831996167780814173167e-24
relative error = 4.5224631289047755818872269151241e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9498
y[1] (analytic) = 0.20825870556168451670081123680005
y[1] (numeric) = 0.20825870556168451670080179395187
absolute error = 9.44284818025848912993637398e-24
relative error = 4.5341913341824719635337650864701e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9497
y[1] (analytic) = 0.20827561972519993933597679388046
y[1] (numeric) = 0.20827561972519993933596732581455
absolute error = 9.46806591072056330109409060e-24
relative error = 4.5459309751245894159292787118966e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.4MB, time=7.77
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9496
y[1] (analytic) = 0.20829253576866077830888856569293
y[1] (numeric) = 0.20829253576866077830887907238141
absolute error = 9.49331152651913373706438657e-24
relative error = 4.5576820559056614166683293989678e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9495
y[1] (analytic) = 0.20830945369231370924614318952291
y[1] (numeric) = 0.20830945369231370924613367093787
absolute error = 9.51858504283234392387435120e-24
relative error = 4.5694445807015069331840997621748e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9494
y[1] (analytic) = 0.20832637349640544092156121217584
y[1] (numeric) = 0.20832637349640544092155166828936
absolute error = 9.54388647484525018614016409e-24
relative error = 4.5812185536892307077792637068713e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9493
y[1] (analytic) = 0.2083432951811827152593706621168
y[1] (numeric) = 0.20834329518118271525936109290097
absolute error = 9.56921583774982445596805136e-24
relative error = 4.5930039790472235426435757300532e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9492
y[1] (analytic) = 0.20836021874689230733739010123606
y[1] (numeric) = 0.20836021874689230733738050666292
absolute error = 9.59457314674495704274479804e-24
relative error = 4.6048008609551625848581036173886e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9491
y[1] (analytic) = 0.20837714419378102539021115566587
y[1] (numeric) = 0.20837714419378102539020153570746
absolute error = 9.61995841703645940381792181e-24
relative error = 4.6166092035940116113860285679489e-21 %
h = 0.0001
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) = 0.20839407152209571081237087970221
absolute error = 9.64537166383706691606561341e-24
relative error = 4.6284290111460213140499368574839e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.9489
y[1] (analytic) = 0.20841100073208323816158146985781
y[1] (numeric) = 0.2084110007320832381615717990449
absolute error = 9.67081290236644164835654895e-24
relative error = 4.6402602877947295844955271248804e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9488
y[1] (analytic) = 0.20842793182399051516181477566618
y[1] (numeric) = 0.20842793182399051516180507938403
absolute error = 9.69628214785117513489967872e-24
relative error = 4.6521030377249617991416570811928e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9487
y[1] (analytic) = 0.20844486479806448270657919466905
y[1] (numeric) = 0.20844486479806448270656947288964
absolute error = 9.72177941552479114948409751e-24
relative error = 4.6639572651228311041166536545524e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9486
y[1] (analytic) = 0.20846179965455211486205136300288
y[1] (numeric) = 0.20846179965455211486204161569816
absolute error = 9.74730472062774848060910084e-24
relative error = 4.6758229741757387001808103087351e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9485
y[1] (analytic) = 0.20847873639370041887026519381304
y[1] (numeric) = 0.20847873639370041887025542095496
absolute error = 9.77285807840744370750453148e-24
relative error = 4.6877001690723741276349952808738e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9484
y[1] (analytic) = 0.20849567501575643515229074531733
y[1] (numeric) = 0.20849567501575643515228094687782
absolute error = 9.79843950411821397704152043e-24
relative error = 4.6995888540027155512152944003884e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9483
y[1] (analytic) = 0.20851261552096723731141256331337
y[1] (numeric) = 0.20851261552096723731140273926436
absolute error = 9.82404901302133978153372645e-24
relative error = 4.7114890331580300449736121302231e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9482
y[1] (analytic) = 0.20852955790957993213630749755263
y[1] (numeric) = 0.20852955790957993213629764786601
absolute error = 9.84968662038504773742917784e-24
relative error = 4.7234007107308738771441543018699e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.9481
y[1] (analytic) = 0.20854650218184165960422199140342
y[1] (numeric) = 0.20854650218184165960421211605108
absolute error = 9.87535234148451336489282022e-24
relative error = 4.7353238909150927949957160571801e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.55
x[1] = -1.948
y[1] (analytic) = 0.20856344833799959288414884422479
y[1] (numeric) = 0.2085634483379995928841389431786
absolute error = 9.90104619160186386827987370e-24
relative error = 4.7472585779058223096696983548885e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.549
x[1] = -1.9479
y[1] (analytic) = 0.2085803963783009383400034458733
y[1] (numeric) = 0.20858039637830093833999351910511
absolute error = 9.92676818602618091750010280e-24
relative error = 4.7592047758994879810037764030521e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=8.04
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.549
x[1] = -1.9478
y[1] (analytic) = 0.20859734630299293553379948276369
y[1] (numeric) = 0.20859734630299293553378953024535
absolute error = 9.95251834005350343027310210e-24
relative error = 4.7711624890938057023411432141046e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9477
y[1] (analytic) = 0.20861429811232285722882411490497
y[1] (numeric) = 0.2086142981123228572288141366083
absolute error = 9.97829666898683035527470076e-24
relative error = 4.7831317216877819853252515737250e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9476
y[1] (analytic) = 0.20863125180653800939281262333236
y[1] (numeric) = 0.20863125180653800939280261922918
absolute error = 1.000410318813612345617458834e-23
relative error = 4.7951124778817142446799773921616e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9475
y[1] (analytic) = 0.20864820738588573120112252735574
y[1] (numeric) = 0.20864820738588573120111249741782
absolute error = 1.002993791281831009656526478e-23
relative error = 4.8071047618771910829751276307250e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9474
y[1] (analytic) = 0.20866516485061339503990717104465
y[1] (numeric) = 0.20866516485061339503989711524379
absolute error = 1.005580085835728602578241673e-23
relative error = 4.8191085778770925753772156929320e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9473
y[1] (analytic) = 0.20868212420096840650928877836982
y[1] (numeric) = 0.20868212420096840650927869667778
absolute error = 1.008169204008391816561682251e-23
relative error = 4.8311239300855905543854272309881e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9472
y[1] (analytic) = 0.20869908543719820442653097642054
y[1] (numeric) = 0.20869908543719820442652086880907
absolute error = 1.010761147333604739791788764e-23
relative error = 4.8431508227081488945526991734310e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9471
y[1] (analytic) = 0.20871604855955026082921078611729
y[1] (numeric) = 0.20871604855955026082920065255811
absolute error = 1.013355917345849135308891293e-23
relative error = 4.8551892599515237971918348218844e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.947
y[1] (analytic) = 0.20873301356827208097839007983829
y[1] (numeric) = 0.20873301356827208097837992030313
absolute error = 1.015953515580304719947419647e-23
relative error = 4.8672392460237640750665775716244e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9469
y[1] (analytic) = 0.20874998046361120336178650537881
y[1] (numeric) = 0.20874998046361120336177631983937
absolute error = 1.018553943572849443363807140e-23
relative error = 4.8793007851342114370675660877140e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9468
y[1] (analytic) = 0.20876694924581519969694387566121
y[1] (numeric) = 0.20876694924581519969693366408918
absolute error = 1.021157202860059767153598037e-23
relative error = 4.8913738814935007728730933220346e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.9467
y[1] (analytic) = 0.20878391991513167493440202361392
y[1] (numeric) = 0.20878391991513167493439178598098
absolute error = 1.023763294979210944057768798e-23
relative error = 4.9034585393135604375945919570670e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9466
y[1] (analytic) = 0.20880089247180826726086612163676
y[1] (numeric) = 0.20880089247180826726085585791454
absolute error = 1.026372221468277297258273210e-23
relative error = 4.9155547628076125364067686938987e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9465
y[1] (analytic) = 0.20881786691609264810237546507002
y[1] (numeric) = 0.20881786691609264810236517523018
absolute error = 1.028983983865932499762821473e-23
relative error = 4.9276625561901732091623097055391e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9464
y[1] (analytic) = 0.20883484324823252212747171908432
y[1] (numeric) = 0.20883484324823252212746140309849
absolute error = 1.031598583711549853878903301e-23
relative error = 4.9397819236770529149910795712932e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9463
y[1] (analytic) = 0.20885182146847562725036662840787
y[1] (numeric) = 0.20885182146847562725035628624764
absolute error = 1.034216022545202570777065076e-23
relative error = 4.9519128694853567168837359164642e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9462
y[1] (analytic) = 0.20886880157706973463410918930741
y[1] (numeric) = 0.20886880157706973463409882094439
absolute error = 1.036836301907664050143451059e-23
relative error = 4.9640553978334845662596818375864e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9461
y[1] (analytic) = 0.20888578357426264869375228323911
y[1] (numeric) = 0.20888578357426264869374188864488
memory used=118.2MB, alloc=4.4MB, time=8.32
absolute error = 1.039459423340408159921618676e-23
relative error = 4.9762095129411315875192782792481e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.946
y[1] (analytic) = 0.20890276746030220709951877158488
y[1] (numeric) = 0.20890276746030220709950835073099
absolute error = 1.042085388385609516143637846e-23
relative error = 4.9883752190292883625802383032229e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9459
y[1] (analytic) = 0.20891975323543628077996705088966
y[1] (numeric) = 0.20891975323543628077995660374768
absolute error = 1.044714198586143762850484317e-23
relative error = 5.0005525203202412153981252048050e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9458
y[1] (analytic) = 0.20893674089991277392515606801479
y[1] (numeric) = 0.20893674089991277392514559455624
absolute error = 1.047345855485587852101736960e-23
relative error = 5.0127414210375724964708763736352e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.9457
y[1] (analytic) = 0.20895373045397962398980979462212
y[1] (numeric) = 0.20895373045397962398979929481851
absolute error = 1.049980360628220324074588929e-23
relative error = 5.0249419254061608673272746143325e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.549
x[1] = -1.9456
y[1] (analytic) = 0.20897072189788480169648116040339
y[1] (numeric) = 0.20897072189788480169647063422623
absolute error = 1.052617715559021587252182615e-23
relative error = 5.0371540376521815849992887571195e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9455
y[1] (analytic) = 0.20898771523187631103871544446906
y[1] (numeric) = 0.20898771523187631103870489188985
absolute error = 1.055257921823674198701278266e-23
relative error = 5.0493777620031067864782051397816e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9454
y[1] (analytic) = 0.20900471045620218928421312431034
y[1] (numeric) = 0.20900471045620218928420254530053
absolute error = 1.057900980968563144439266148e-23
relative error = 5.0616131026877057731544715759466e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9453
y[1] (analytic) = 0.20902170757111050697799218174787
y[1] (numeric) = 0.20902170757111050697798157627892
absolute error = 1.060546894540776119890532092e-23
relative error = 5.0738600639360452952411753004376e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9452
y[1] (analytic) = 0.20903870657684936794554986528041
y[1] (numeric) = 0.20903870657684936794553923332377
absolute error = 1.063195664088103810432186270e-23
relative error = 5.0861186499794898361810763922723e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9451
y[1] (analytic) = 0.20905570747366690929602390824624
y[1] (numeric) = 0.20905570747366690929601324977332
absolute error = 1.065847291159040172029164997e-23
relative error = 5.0983888650507018970371179752514e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.945
y[1] (analytic) = 0.2090727102618113014253532022099
y[1] (numeric) = 0.20907271026181130142534251719213
absolute error = 1.068501777302782711958715371e-23
relative error = 5.1106707133836422808663345873773e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9449
y[1] (analytic) = 0.20908971494153074801943792498648
y[1] (numeric) = 0.20908971494153074801942721339524
absolute error = 1.071159124069232769624272507e-23
relative error = 5.1229641992135703770770798620312e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9448
y[1] (analytic) = 0.20910672151307348605729912271533
y[1] (numeric) = 0.209106721513073486057288384522
absolute error = 1.073819333008995797458739137e-23
relative error = 5.1352693267770444457694947600504e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9447
y[1] (analytic) = 0.20912372997668778581423774539491
y[1] (numeric) = 0.20912372997668778581422698057085
absolute error = 1.076482405673381641917177305e-23
relative error = 5.1475861003119219020591374058786e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.9446
y[1] (analytic) = 0.20914074033262195086499313528982
y[1] (numeric) = 0.20914074033262195086498234380639
absolute error = 1.079148343614404824558921879e-23
relative error = 5.1599145240573596003836955672878e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9445
y[1] (analytic) = 0.20915775258112431808690096762128
y[1] (numeric) = 0.2091577525811243180868901494498
absolute error = 1.081817148384784823219125580e-23
relative error = 5.1722546022538141187927027328078e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9444
y[1] (analytic) = 0.20917476672244325766305064295136
y[1] (numeric) = 0.20917476672244325766303979806314
absolute error = 1.084488821537946353269745204e-23
relative error = 5.1846063391430420432201786461642e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.4MB, time=8.60
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9443
y[1] (analytic) = 0.20919178275682717308544213067153
y[1] (numeric) = 0.20919178275682717308543125903788
absolute error = 1.087163364628019648969978705e-23
relative error = 5.1969697389681002517401151387585e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9442
y[1] (analytic) = 0.2092088006845245011581422630054
y[1] (numeric) = 0.20920880068452450115813136459761
absolute error = 1.089840779209840744906162782e-23
relative error = 5.2093448059733461988047280017421e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9441
y[1] (analytic) = 0.20922582050578371200044047893539
y[1] (numeric) = 0.20922582050578371200042955372473
absolute error = 1.092521066838951757521140586e-23
relative error = 5.2217315444044381994653955302849e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.944
y[1] (analytic) = 0.20924284222085330905000401746257
y[1] (numeric) = 0.20924284222085330904999306542028
absolute error = 1.095204229071601166733109163e-23
relative error = 5.2341299585083357135762043928232e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9439
y[1] (analytic) = 0.20925986582998182906603255960886
y[1] (numeric) = 0.20925986582998182906602158070619
absolute error = 1.097890267464744097643956202e-23
relative error = 5.2465400525332996299800232736697e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9438
y[1] (analytic) = 0.20927689133341784213241231857022
y[1] (numeric) = 0.20927689133341784213240131277839
absolute error = 1.100579183576042602337095687e-23
relative error = 5.2589618307288925506770249010640e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9437
y[1] (analytic) = 0.20929391873140995166086957742924
y[1] (numeric) = 0.20929391873140995166085854471945
absolute error = 1.103270978963865941764811951e-23
relative error = 5.2713952973459790749755766104278e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9436
y[1] (analytic) = 0.20931094802420679439412367383514
y[1] (numeric) = 0.20931094802420679439411261417858
absolute error = 1.105965655187290867725121715e-23
relative error = 5.2838404566367260836254200192665e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.9435
y[1] (analytic) = 0.20932797921205704040903943105911
y[1] (numeric) = 0.20932797921205704040902834442697
absolute error = 1.108663213806101904928163579e-23
relative error = 5.2962973128546030229330598563311e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.548
x[1] = -1.9434
y[1] (analytic) = 0.20934501229520939311977903483224
y[1] (numeric) = 0.20934501229520939311976792119567
absolute error = 1.111363656380791633152124477e-23
relative error = 5.3087658702543821888592822232967e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.548
x[1] = -1.9433
y[1] (analytic) = 0.2093620472739125892809533553732
y[1] (numeric) = 0.20936204727391258928094221470335
absolute error = 1.114066984472560969488712561e-23
relative error = 5.3212461330921390110987223632904e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9432
y[1] (analytic) = 0.20937908414841539899077271401256
y[1] (numeric) = 0.20937908414841539899076154628056
absolute error = 1.116773199643319450678185966e-23
relative error = 5.3337381056252523371414019692157e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9431
y[1] (analytic) = 0.20939612291896662569419709382011
y[1] (numeric) = 0.20939612291896662569418589899707
absolute error = 1.119482303455685515533946888e-23
relative error = 5.3462417921124047163161559900753e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.943
y[1] (analytic) = 0.20941316358581510618608579364134
y[1] (numeric) = 0.20941316358581510618607457169836
absolute error = 1.122194297472986787456710389e-23
relative error = 5.3587571968135826838158688283619e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9429
y[1] (analytic) = 0.20943020614920971061434652494899
y[1] (numeric) = 0.20943020614920971061433527585716
absolute error = 1.124909183259260357038257323e-23
relative error = 5.3712843239900770447044397469853e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9428
y[1] (analytic) = 0.20944725060939934248308395091508
y[1] (numeric) = 0.20944725060939934248307267464546
absolute error = 1.127626962379253064754780755e-23
relative error = 5.3838231779044831579053972201214e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9427
y[1] (analytic) = 0.20946429696663293865574766710867
y[1] (numeric) = 0.20946429696663293865573636363231
absolute error = 1.130347636398421783749835234e-23
relative error = 5.3963737628207012201720819308926e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9426
y[1] (analytic) = 0.20948134522115946935827962322417
y[1] (numeric) = 0.2094813452211594693582682925121
absolute error = 1.133071206882933702706898247e-23
relative error = 5.4089360830039365500393179775571e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.4MB, time=8.87
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9425
y[1] (analytic) = 0.20949839537322793818226098524477
y[1] (numeric) = 0.20949839537322793818224962726801
absolute error = 1.135797675399666608811553185e-23
relative error = 5.4215101427206998717564918901679e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.9424
y[1] (analytic) = 0.20951544742308738208805843744519
y[1] (numeric) = 0.20951544742308738208804705217476
absolute error = 1.138527043516209170803303094e-23
relative error = 5.4340959462388075992019588040155e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9423
y[1] (analytic) = 0.2095325013709868714079699236377
y[1] (numeric) = 0.20953250137098687140795851104457
absolute error = 1.141259312800861222117024518e-23
relative error = 5.4466934978273821197786953198031e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9422
y[1] (analytic) = 0.20954955721717550984936982706487
y[1] (numeric) = 0.20954955721717550984935838712002
absolute error = 1.143994484822634044114070664e-23
relative error = 5.4593028017568520782911182343203e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9421
y[1] (analytic) = 0.2095666149619024344978535883424
y[1] (numeric) = 0.20956661496190243449784212101679
absolute error = 1.146732561151250649403033152e-23
relative error = 5.4719238622989526608029885043659e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.942
y[1] (analytic) = 0.20958367460541681582038176085497
y[1] (numeric) = 0.20958367460541681582037026611953
absolute error = 1.149473543357146065250171547e-23
relative error = 5.4845566837267258784763195131801e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9419
y[1] (analytic) = 0.2096007361479678576684235030076
y[1] (numeric) = 0.20960073614796785766841198083327
absolute error = 1.152217433011467617079519892e-23
relative error = 5.4972012703145208513912088352418e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9418
y[1] (analytic) = 0.20961779958980479728109950673494
y[1] (numeric) = 0.20961779958980479728108795709262
absolute error = 1.154964231686075212062679407e-23
relative error = 5.5098576263379940923465124592450e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9417
y[1] (analytic) = 0.20963486493117690528832436167038
y[1] (numeric) = 0.20963486493117690528831278453097
absolute error = 1.157713940953541622798306518e-23
relative error = 5.5225257560741097906412804460434e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9416
y[1] (analytic) = 0.20965193217233348571394835437657
y[1] (numeric) = 0.20965193217233348571393674971095
absolute error = 1.160466562387152771081305366e-23
relative error = 5.5352056638011400958368729533315e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9415
y[1] (analytic) = 0.20966900131352387597889870203881
y[1] (numeric) = 0.20966900131352387597888706981783
absolute error = 1.163222097560908011761733903e-23
relative error = 5.5478973537986654014996753755475e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.9414
y[1] (analytic) = 0.20968607235499744690432022002209
y[1] (numeric) = 0.20968607235499744690430856021661
absolute error = 1.165980548049520416693432684e-23
relative error = 5.5606008303475746289243313789699e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.9413
y[1] (analytic) = 0.20970314529700360271471542269268
y[1] (numeric) = 0.20970314529700360271470373527353
absolute error = 1.168741915428417058772385433e-23
relative error = 5.5733160977300655108374124860942e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.9412
y[1] (analytic) = 0.20972022013979178104108405690444
y[1] (numeric) = 0.20972022013979178104107234184243
absolute error = 1.171506201273739296064820452e-23
relative error = 5.5860431602296448750814428425132e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.9411
y[1] (analytic) = 0.20973729688361145292406206754988
y[1] (numeric) = 0.20973729688361145292405032481581
absolute error = 1.174273407162343056025061907e-23
relative error = 5.5987820221311289282791976547292e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.941
y[1] (analytic) = 0.20975437552871212281705999457575
y[1] (numeric) = 0.20975437552871212281704822414041
absolute error = 1.177043534671799119803140008e-23
relative error = 5.6115326877206435394781937284798e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.9409
y[1] (analytic) = 0.20977145607534332858940080086253
y[1] (numeric) = 0.20977145607534332858938900269667
absolute error = 1.179816585380393406642169108e-23
relative error = 5.6242951612856245237752905975509e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.546
x[1] = -1.9408
y[1] (analytic) = 0.20978853852375464152945713036669
y[1] (numeric) = 0.20978853852375464152944530444108
absolute error = 1.182592560867127258365502674e-23
relative error = 5.6370694471148179259213204120882e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=9.14
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.546
x[1] = -1.9407
y[1] (analytic) = 0.20980562287419566634778799592471
y[1] (numeric) = 0.20980562287419566634777614221008
absolute error = 1.185371462711717723953674116e-23
relative error = 5.6498555494982803039056649351770e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.546
x[1] = -1.9406
y[1] (analytic) = 0.20982270912691604118027489611699
y[1] (numeric) = 0.20982270912691604118026301458406
absolute error = 1.188153292494597844211132408e-23
relative error = 5.6626534727273790125206977710023e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.546
x[1] = -1.9405
y[1] (analytic) = 0.20983979728216543759125736058991
y[1] (numeric) = 0.2098397972821654375912454512094
absolute error = 1.190938051796916936522781413e-23
relative error = 5.6754632210947924869060098656034e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.546
x[1] = -1.9404
y[1] (analytic) = 0.20985688734019356057666792323375
y[1] (numeric) = 0.20985688734019356057665598597632
absolute error = 1.193725742200540879700331840e-23
relative error = 5.6882847988945105260723364200928e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.546
x[1] = -1.9403
y[1] (analytic) = 0.20987397930125014856716652261371
y[1] (numeric) = 0.20987397930125014856715455745006
absolute error = 1.196516365288052398918474690e-23
relative error = 5.7011182104218345764051030404859e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9402
y[1] (analytic) = 0.20989107316558497343127432905149
y[1] (numeric) = 0.20989107316558497343126233595226
absolute error = 1.199309922642751350740885072e-23
relative error = 5.7139634599733780151475090854305e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9401
y[1] (analytic) = 0.20990816893344784047850699775376
y[1] (numeric) = 0.2099081689334478404784949766896
absolute error = 1.202106415848655008236065220e-23
relative error = 5.7268205518470664338630659576580e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.94
y[1] (analytic) = 0.20992526660508858846250734738433
y[1] (numeric) = 0.20992526660508858846249529832587
absolute error = 1.204905846490498346183035540e-23
relative error = 5.7396894903421379218775080983440e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9399
y[1] (analytic) = 0.20994236618075708958417746347595
y[1] (numeric) = 0.20994236618075708958416538639379
absolute error = 1.207708216153734326366882488e-23
relative error = 5.7525702797591433496999943331003e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9398
y[1] (analytic) = 0.20995946766070324949481022607755
y[1] (numeric) = 0.20995946766070324949479812094229
absolute error = 1.210513526424534182964172067e-23
relative error = 5.7654629243999466524235171794041e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9397
y[1] (analytic) = 0.20997657104517700729922026103242
y[1] (numeric) = 0.20997657104517700729920812781463
absolute error = 1.213321778889787708018237689e-23
relative error = 5.7783674285677251131044375482918e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9396
y[1] (analytic) = 0.20999367633442833555887431428245
y[1] (numeric) = 0.2099936763344283355588621529527
absolute error = 1.216132975137103537004351166e-23
relative error = 5.7912837965669696461210623820442e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9395
y[1] (analytic) = 0.21001078352870724029502104859329
y[1] (numeric) = 0.21001078352870724029500885912213
absolute error = 1.218947116754809434484785534e-23
relative error = 5.8042120327034850805111825070228e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9394
y[1] (analytic) = 0.21002789262826376099182026209482
y[1] (numeric) = 0.21002789262826376099180804445276
absolute error = 1.221764205331952579853778428e-23
relative error = 5.8171521412843904432884880708007e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9393
y[1] (analytic) = 0.21004500363334797059947152803113
y[1] (numeric) = 0.2100450036333479705994592821887
absolute error = 1.224584242458299853172404664e-23
relative error = 5.8301041266181192427377786608413e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.9392
y[1] (analytic) = 0.21006211654420997553734225511395
y[1] (numeric) = 0.21006211654420997553732998104166
absolute error = 1.227407229724338121093366732e-23
relative error = 5.8430679930144197516888854539738e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.9391
y[1] (analytic) = 0.21007923136109991569709516787285
y[1] (numeric) = 0.21007923136109991569708286554117
absolute error = 1.230233168721274522875711786e-23
relative error = 5.8560437447843552907692222075594e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
memory used=133.5MB, alloc=4.4MB, time=9.42
Order of pole = 3.546
x[1] = -1.939
y[1] (analytic) = 0.2100963480842679644458152063955
y[1] (numeric) = 0.21009634808426796444580287577489
absolute error = 1.233062061041036756489483806e-23
relative error = 5.8690313862403045116348823505781e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.9389
y[1] (analytic) = 0.21011346671396432862913584485084
y[1] (numeric) = 0.21011346671396432862912348591176
absolute error = 1.235893908276273364810319488e-23
relative error = 5.8820309216959616801801988899486e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.9388
y[1] (analytic) = 0.21013058725043924857436482818765
y[1] (numeric) = 0.21013058725043924857435244090053
absolute error = 1.238728712020354021903996477e-23
relative error = 5.8950423554663369597256841519952e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.9387
y[1] (analytic) = 0.21014770969394299809360932640075
y[1] (numeric) = 0.21014770969394299809359691073601
absolute error = 1.241566473867369819400942471e-23
relative error = 5.9080656918677566941842659886247e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.9386
y[1] (analytic) = 0.21016483404472588448690050575663
y[1] (numeric) = 0.21016483404472588448688806168468
absolute error = 1.244407195412133552960713766e-23
relative error = 5.9211009352178636912057373015397e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.9385
y[1] (analytic) = 0.21018196030303824854531751637015
y[1] (numeric) = 0.21018196030303824854530504386137
absolute error = 1.247250878250180008826451736e-23
relative error = 5.9341480898356175052993354000225e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.545
x[1] = -1.9384
y[1] (analytic) = 0.21019908846913046455411089552345
y[1] (numeric) = 0.21019908846913046455409839454821
absolute error = 1.250097523977766250469325756e-23
relative error = 5.9472071600412947209343677984623e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.545
x[1] = -1.9383
y[1] (analytic) = 0.21021621854325294029582538611795
y[1] (numeric) = 0.21021621854325294029581285664661
absolute error = 1.252947134191871905322971050e-23
relative error = 5.9602781501564892356188009601205e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.545
x[1] = -1.9382
y[1] (analytic) = 0.21023335052565611705342216965006
y[1] (numeric) = 0.21023335052565611705340961165295
absolute error = 1.255799710490199451607929914e-23
relative error = 5.9733610645041125429557283655039e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.545
x[1] = -1.9381
y[1] (analytic) = 0.21025048441659046961340051310075
y[1] (numeric) = 0.2102504844165904696133879265482
absolute error = 1.258655254471174505246104753e-23
relative error = 5.9864559074083940156776342555898e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.938
y[1] (analytic) = 0.21026762021630650626891882912896
y[1] (numeric) = 0.21026762021630650626890621399128
absolute error = 1.261513767733946106865231348e-23
relative error = 5.9995626831948811886583693149977e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9379
y[1] (analytic) = 0.21028475792505476882291514895833
y[1] (numeric) = 0.21028475792505476882290250520581
absolute error = 1.264375251878387008893380748e-23
relative error = 6.0126813961904400419027544846472e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9378
y[1] (analytic) = 0.21030189754308583259122700734654
y[1] (numeric) = 0.21030189754308583259121433494946
absolute error = 1.267239708505093962743498167e-23
relative error = 6.0258120507232552835137290464988e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9377
y[1] (analytic) = 0.21031903907065030640571073902621
y[1] (numeric) = 0.21031903907065030640569803795482
absolute error = 1.270107139215388006087987229e-23
relative error = 6.0389546511228306326369589714852e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9376
y[1] (analytic) = 0.21033618250799883261736018600584
y[1] (numeric) = 0.21033618250799883261734745623038
absolute error = 1.272977545611314750223347904e-23
relative error = 6.0521092017199891023828215462963e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9375
y[1] (analytic) = 0.21035332785538208709942481511915
y[1] (numeric) = 0.21035332785538208709941205660985
absolute error = 1.275850929295644667524876444e-23
relative error = 6.0652757068468732827256821576094e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9374
y[1] (analytic) = 0.21037047511305077925052724521066
y[1] (numeric) = 0.21037047511305077925051445793774
absolute error = 1.278727291871873378991435612e-23
relative error = 6.0784541708369456233803790609741e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9373
y[1] (analytic) = 0.2103876242812556519977801833452
y[1] (numeric) = 0.21038762428125565199776736727885
absolute error = 1.281606634944221941880303474e-23
relative error = 6.0916445980249887166558318769651e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=9.69
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9372
y[1] (analytic) = 0.21040477536024748179990276942845
y[1] (numeric) = 0.21040477536024748179988992453885
absolute error = 1.284488960117637137432109003e-23
relative error = 6.1048469927471055802856894822168e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.9371
y[1] (analytic) = 0.21042192835027707865033632862566
y[1] (numeric) = 0.21042192835027707865032345488297
absolute error = 1.287374268997791758685862732e-23
relative error = 6.1180613593407199402359329308003e-21 %
h = 0.0001
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) = 0.21043908325159528608034662833932
absolute error = 1.290262563191084898384090648e-23
relative error = 6.1312877021445765134893488524859e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9369
y[1] (analytic) = 0.21045624006445298116220295751166
y[1] (numeric) = 0.21045624006445298116219002597321
absolute error = 1.293153844304642236968079543e-23
relative error = 6.1445260254987412908067889135360e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9368
y[1] (analytic) = 0.21047339878910107451216307249943
y[1] (numeric) = 0.21047339878910107451215011201829
absolute error = 1.296048113946316330663241950e-23
relative error = 6.1577763337446018194651305325664e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9367
y[1] (analytic) = 0.21049055942579051029371560080397
y[1] (numeric) = 0.21049055942579051029370261135023
absolute error = 1.298945373724686899654608852e-23
relative error = 6.1710386312248674859718543543366e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9366
y[1] (analytic) = 0.21050772197477226622062831014446
y[1] (numeric) = 0.21050772197477226622061529168821
absolute error = 1.301845625249061116352458256e-23
relative error = 6.1843129222835697987561535533859e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9365
y[1] (analytic) = 0.21052488643629735356007319739777
y[1] (numeric) = 0.21052488643629735356006014990906
absolute error = 1.304748870129473893748087750e-23
relative error = 6.1975992112660626708364901883299e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9364
y[1] (analytic) = 0.21054205281061681713573807840997
y[1] (numeric) = 0.21054205281061681713572500185887
absolute error = 1.307655109976688173859739130e-23
relative error = 6.2108975025190227024645137057193e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9363
y[1] (analytic) = 0.21055922109798173533093758068958
y[1] (numeric) = 0.21055922109798173533092447504612
absolute error = 1.310564346402195216268683147e-23
relative error = 6.2242078003904494637452565420632e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9362
y[1] (analytic) = 0.21057639129864322009172353836632
y[1] (numeric) = 0.2105763912986432200917104036005
absolute error = 1.313476581018214886745472423e-23
relative error = 6.2375301092296657772335217934199e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.9361
y[1] (analytic) = 0.2105935634128524169299947887991
y[1] (numeric) = 0.21059356341285241692998162488094
absolute error = 1.316391815437695945966370557e-23
relative error = 6.2508644333873180005063778145528e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.544
x[1] = -1.936
y[1] (analytic) = 0.21061073744086050492660637021661
y[1] (numeric) = 0.2106107374408605049265931771161
absolute error = 1.319310051274316338319965412e-23
relative error = 6.2642107772153763087116744928556e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9359
y[1] (analytic) = 0.21062791338291869673447811977331
y[1] (numeric) = 0.21062791338291869673446489746041
absolute error = 1.322231290142483480803974565e-23
relative error = 6.2775691450671349770924959252664e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9358
y[1] (analytic) = 0.21064509123927823858170267140357
y[1] (numeric) = 0.21064509123927823858168941984824
absolute error = 1.325155533657334552012250881e-23
relative error = 6.2909395412972126634874641524804e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9357
y[1] (analytic) = 0.2106622710101904102746528528562
y[1] (numeric) = 0.21066227101019041027463957202837
absolute error = 1.328082783434736781211996137e-23
relative error = 6.3043219702615526908068084644721e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9356
y[1] (analytic) = 0.21067945269590652520108848129138
y[1] (numeric) = 0.21067945269590652520107517116097
absolute error = 1.331013041091287737511190613e-23
relative error = 6.3177164363174233294841147745919e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9355
y[1] (analytic) = 0.21069663629667793033326255682159
y[1] (numeric) = 0.21069663629667793033324921735851
absolute error = 1.333946308244315619116246545e-23
relative error = 6.3311229438234180799036694810788e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=9.96
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9354
y[1] (analytic) = 0.21071382181275600623102685337788
y[1] (numeric) = 0.21071382181275600623101348455202
absolute error = 1.336882586511879542679893314e-23
relative error = 6.3445414971394559548033121612447e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9353
y[1] (analytic) = 0.21073100924439216704493690628237
y[1] (numeric) = 0.2107310092443921670449235080636
absolute error = 1.339821877512769832739302205e-23
relative error = 6.3579721006267817616527112799133e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9352
y[1] (analytic) = 0.21074819859183786051935639590772
y[1] (numeric) = 0.21074819859183786051934296826589
absolute error = 1.342764182866508311244458595e-23
relative error = 6.3714147586479663850069772385947e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9351
y[1] (analytic) = 0.21076538985534456799556092680379
y[1] (numeric) = 0.21076538985534456799554746970875
absolute error = 1.345709504193348587176789337e-23
relative error = 6.3848694755669070688355266815701e-21 %
h = 0.0001
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) = 0.21078258303516380441482771509307
absolute error = 1.348657843114276346258053161e-23
relative error = 6.3983362557488276988261122577452e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.9349
y[1] (analytic) = 0.21079977813154711832160558956354
y[1] (numeric) = 0.21079977813154711832159207347153
absolute error = 1.351609201251009640749501843e-23
relative error = 6.4118151035602790846639317313885e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9348
y[1] (analytic) = 0.21081697514474609186648208769116
y[1] (numeric) = 0.21081697514474609186646854205536
absolute error = 1.354563580225999179341319876e-23
relative error = 6.4253060233691392422857302807849e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9347
y[1] (analytic) = 0.2108341740750123408094196762161
y[1] (numeric) = 0.21083417407501234080940610100628
absolute error = 1.357520981662428617132350381e-23
relative error = 6.4388090195446136761088098694189e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9346
y[1] (analytic) = 0.21085137492259751452278906540626
y[1] (numeric) = 0.21085137492259751452277546059218
absolute error = 1.360481407184214845700114947e-23
relative error = 6.4523240964572356612348593685115e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9345
y[1] (analytic) = 0.21086857768775329599448283453338
y[1] (numeric) = 0.21086857768775329599446920008479
absolute error = 1.363444858416008283261135077e-23
relative error = 6.4658512584788665256285190795901e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9344
y[1] (analytic) = 0.21088578237073140183101496189075
y[1] (numeric) = 0.21088578237073140183100129777738
absolute error = 1.366411336983193164921562914e-23
relative error = 6.4793905099826959322705933183480e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9343
y[1] (analytic) = 0.21090298897178358226061974530853
y[1] (numeric) = 0.21090298897178358226060605150009
absolute error = 1.369380844511887833018128854e-23
relative error = 6.4929418553432421612858244301858e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9342
y[1] (analytic) = 0.21092019749116162113635011254406
y[1] (numeric) = 0.21092019749116162113633638901024
absolute error = 1.372353382628945027549413686e-23
relative error = 6.5065052989363523920451417913163e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9341
y[1] (analytic) = 0.21093740792911733593917532092402
y[1] (numeric) = 0.21093740792911733593916156763449
absolute error = 1.375328952961952176697452834e-23
relative error = 6.5200808451392029852422990680996e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.934
y[1] (analytic) = 0.21095462028590257778107804561514
y[1] (numeric) = 0.21095462028590257778106426253957
absolute error = 1.378307557139231687439680283e-23
relative error = 6.5336684983302997649448130676007e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9339
y[1] (analytic) = 0.21097183456176923140815085589976
y[1] (numeric) = 0.21097183456176923140813704300779
absolute error = 1.381289196789841236251219724e-23
relative error = 6.5472682628894783006191173167047e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.9338
y[1] (analytic) = 0.21098905075696921520369207883216
y[1] (numeric) = 0.21098905075696921520367823609342
absolute error = 1.384273873543574059897530464e-23
relative error = 6.5608801431979041891298435865395e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.544
memory used=144.9MB, alloc=4.4MB, time=10.23
x[1] = -1.9337
y[1] (analytic) = 0.21100626887175448119130104965132
y[1] (numeric) = 0.21100626887175448119128717703543
absolute error = 1.387261589030959246317415582e-23
relative error = 6.5745041436380733367131442981532e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9336
y[1] (analytic) = 0.21102348890637701503797274832535
y[1] (numeric) = 0.2110234889063770150379588458019
absolute error = 1.390252344883262025596399837e-23
relative error = 6.5881402685938122409239688913181e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9335
y[1] (analytic) = 0.21104071086108883605719182160264
y[1] (numeric) = 0.21104071086108883605717788914122
absolute error = 1.393246142732484061030484778e-23
relative error = 6.6017885224502782725572070003615e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9334
y[1] (analytic) = 0.21105793473614199721202598994424
y[1] (numeric) = 0.2110579347361419972120120275144
absolute error = 1.396242984211363740280288493e-23
relative error = 6.6154489095939599575426112468928e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9333
y[1] (analytic) = 0.21107516053178858511821883871179
y[1] (numeric) = 0.21107516053178858511820484628308
absolute error = 1.399242870953376466615577421e-23
relative error = 6.6291214344126772588134124253097e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9332
y[1] (analytic) = 0.21109238824828072004728199298505
y[1] (numeric) = 0.211092388248280720047267970527
absolute error = 1.402245804592734950250197629e-23
relative error = 6.6428061012955818581485397803992e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9331
y[1] (analytic) = 0.21110961788587055592958667538243
y[1] (numeric) = 0.21110961788587055592957262286456
absolute error = 1.405251786764389499767412904e-23
relative error = 6.6565029146331574379883588577569e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.933
y[1] (analytic) = 0.21112684944481028035745464625802
y[1] (numeric) = 0.21112684944481028035744056364983
absolute error = 1.408260819104028313635657046e-23
relative error = 6.6702118788172199632238396061515e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9329
y[1] (analytic) = 0.21114408292535211458824852564791
y[1] (numeric) = 0.21114408292535211458823441291887
absolute error = 1.411272903248077771814707656e-23
relative error = 6.6839329982409179629590670030271e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9328
y[1] (analytic) = 0.21116131832774831354746149633843
y[1] (numeric) = 0.21116131832774831354744735345802
absolute error = 1.414288040833702727452288766e-23
relative error = 6.6976662772987328122470067534003e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.9327
y[1] (analytic) = 0.21117855565225116583180638742866
y[1] (numeric) = 0.21117855565225116583179221436632
absolute error = 1.417306233498806798671109554e-23
relative error = 6.7114117203864790137984381478550e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9326
y[1] (analytic) = 0.211195794899112993712304137759
y[1] (numeric) = 0.21119579489911299371228993448417
absolute error = 1.420327482882032660446346447e-23
relative error = 6.7251693319013044796639664776744e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9325
y[1] (analytic) = 0.21121303606858615313737163857753
y[1] (numeric) = 0.21121303606858615313735740505963
absolute error = 1.423351790622762336573575827e-23
relative error = 6.7389391162416908128890270165718e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9324
y[1] (analytic) = 0.21123027916092303373590895481534
y[1] (numeric) = 0.21123027916092303373589469102376
absolute error = 1.426379158361117491727164573e-23
relative error = 6.7527210778074535891417926920399e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9323
y[1] (analytic) = 0.21124752417637605882038592434171
y[1] (numeric) = 0.21124752417637605882037163024583
absolute error = 1.429409587737959723609125638e-23
relative error = 6.7665152209997426383138974366750e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9322
y[1] (analytic) = 0.21126477111519768538992813456985
y[1] (numeric) = 0.21126477111519768538991381013904
absolute error = 1.432443080394890855188445818e-23
relative error = 6.7803215502210423260938870394324e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9321
y[1] (analytic) = 0.21128201997764040413340227578329
y[1] (numeric) = 0.21128201997764040413338792098691
absolute error = 1.435479637974253227030892895e-23
relative error = 6.7941400698751718355133094636300e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.932
y[1] (analytic) = 0.211299270763956739432500870553
y[1] (numeric) = 0.21129927076395673943248648536037
absolute error = 1.438519262119129989719309260e-23
relative error = 6.8079707843672854484653562672982e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=10.50
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9319
y[1] (analytic) = 0.21131652347439924936482637861458
y[1] (numeric) = 0.21131652347439924936481196299503
absolute error = 1.441561954473345396364399133e-23
relative error = 6.8218136981038728271959668422340e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9318
y[1] (analytic) = 0.211333778109220525706974676575
y[1] (numeric) = 0.21133377810922052570696023049783
absolute error = 1.444607716681465095206016480e-23
relative error = 6.8356688154927592957673071363484e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9317
y[1] (analytic) = 0.21135103466867319393761791181758
y[1] (numeric) = 0.21135103466867319393760343525208
absolute error = 1.447656550388796422304960660e-23
relative error = 6.8495361409431061214935342356212e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.9316
y[1] (analytic) = 0.21136829315300991324058672997389
y[1] (numeric) = 0.21136829315300991324057222288932
absolute error = 1.450708457241388694325286880e-23
relative error = 6.8634156788654107963487584238173e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.543
x[1] = -1.9315
y[1] (analytic) = 0.21138555356248337650795187533072
y[1] (numeric) = 0.21138555356248337650793733769633
absolute error = 1.453763438886033501407138445e-23
relative error = 6.8773074336715073183471139364386e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.543
x[1] = -1.9314
y[1] (analytic) = 0.21140281589734631034310516353999
y[1] (numeric) = 0.21140281589734631034309059532502
absolute error = 1.456821496970265000130107826e-23
relative error = 6.8912114097745664728948498247704e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.543
x[1] = -1.9313
y[1] (analytic) = 0.21142008015785147506383982599924
y[1] (numeric) = 0.21142008015785147506382522717291
absolute error = 1.459882633142360206567133507e-23
relative error = 6.9051276115890961141143520816181e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.9312
y[1] (analytic) = 0.21143734634425166470543022526975
y[1] (numeric) = 0.21143734634425166470541559580126
absolute error = 1.462946849051339289428939554e-23
relative error = 6.9190560435309414461400081243817e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.9311
y[1] (analytic) = 0.21145461445679970702371094089922
y[1] (numeric) = 0.21145461445679970702369628075775
absolute error = 1.466014146346965863299024864e-23
relative error = 6.9329967100172853043858248313062e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.931
y[1] (analytic) = 0.2114718844957484634981552250156
y[1] (numeric) = 0.21147188449574846349814053417033
absolute error = 1.469084526679747281959208969e-23
relative error = 6.9469496154666484367847109634574e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.9309
y[1] (analytic) = 0.21148915646135082933495282705814
y[1] (numeric) = 0.21148915646135082933493810547822
absolute error = 1.472157991700934931805741303e-23
relative error = 6.9609147642988897849993349904818e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.9308
y[1] (analytic) = 0.21150643035385973347008718701152
y[1] (numeric) = 0.21150643035385973347007243466608
absolute error = 1.475234543062524525355980784e-23
relative error = 6.9748921609352067656044691028103e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.9307
y[1] (analytic) = 0.21152370617352813857241199650862
y[1] (numeric) = 0.21152370617352813857239721336679
absolute error = 1.478314182417256394845652545e-23
relative error = 6.9888818097981355512407301374168e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.9306
y[1] (analytic) = 0.21154098392060904104672712716708
y[1] (numeric) = 0.21154098392060904104671231319796
absolute error = 1.481396911418615785916688646e-23
relative error = 7.0028837153115513517396281643974e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9305
y[1] (analytic) = 0.2115582635953554710368539255244
y[1] (numeric) = 0.21155826359535547103683908069709
absolute error = 1.484482731720833151395659545e-23
relative error = 7.0168978819006686952198332560072e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9304
y[1] (analytic) = 0.21157554519802049242870987393618
y[1] (numeric) = 0.21157554519802049242869499821973
absolute error = 1.487571644978884445162803114e-23
relative error = 7.0309243139920417091545710273951e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9303
y[1] (analytic) = 0.21159282872885720285338261680148
y[1] (numeric) = 0.21159282872885720285336771016495
absolute error = 1.490663652848491416111657930e-23
relative error = 7.0449630160135644014100573033892e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9302
y[1] (analytic) = 0.2116101141881187336902033514793
y[1] (numeric) = 0.21161011418811873369018841389173
absolute error = 1.493758756986121902199307588e-23
relative error = 7.0590139923944709412548823759714e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.4MB, time=10.77
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9301
y[1] (analytic) = 0.21162740157605825006981958325947
y[1] (numeric) = 0.21162740157605825006980461468988
absolute error = 1.496856959048990124587242728e-23
relative error = 7.0730772475653359403402550870926e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.93
y[1] (analytic) = 0.21164469089292895087726724375119
y[1] (numeric) = 0.21164469089292895087725224416858
absolute error = 1.499958260695056981872847447e-23
relative error = 7.0871527859580747336510169023303e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9299
y[1] (analytic) = 0.21166198213898406875504217205189
y[1] (numeric) = 0.21166198213898406875502714142526
absolute error = 1.503062663583030344411516783e-23
relative error = 7.1012406120059436604273362466336e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9298
y[1] (analytic) = 0.21167927531447687010617095805896
y[1] (numeric) = 0.21167927531447687010615589635727
absolute error = 1.506170169372365348729411863e-23
relative error = 7.1153407301435403450569929547069e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9297
y[1] (analytic) = 0.21169657041966065509728114728635
y[1] (numeric) = 0.21169657041966065509726605447855
absolute error = 1.509280779723264692026859369e-23
relative error = 7.1294531448068039779381630118561e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9296
y[1] (analytic) = 0.21171386745478875766167080654786
y[1] (numeric) = 0.2117138674547887576616556826029
absolute error = 1.512394496296678926772401883e-23
relative error = 7.1435778604330155963126133520636e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.9295
y[1] (analytic) = 0.21173116642011454550237744986854
y[1] (numeric) = 0.21173116642011454550236229475534
absolute error = 1.515511320754306755387505689e-23
relative error = 7.1577148814607983650692165908528e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.9294
y[1] (analytic) = 0.2117484673158914200952463239852
y[1] (numeric) = 0.21174846731589142009523113767265
absolute error = 1.518631254758595325021932567e-23
relative error = 7.1718642123301178575176953978889e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.9293
y[1] (analytic) = 0.2117657701423728166919980527968
y[1] (numeric) = 0.2117657701423728166919828352538
absolute error = 1.521754299972740522419782111e-23
relative error = 7.1860258574822823361325062306932e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.9292
y[1] (analytic) = 0.21178307489981220432329564012519
y[1] (numeric) = 0.21178307489981220432328039132061
absolute error = 1.524880458060687268876211053e-23
relative error = 7.2001998213599430332667719453631e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.9291
y[1] (analytic) = 0.21180038158846308580181083014607
y[1] (numeric) = 0.21180038158846308580179555004876
absolute error = 1.528009730687129815284836079e-23
relative error = 7.2143861084070944318361728498459e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.929
y[1] (analytic) = 0.21181769020857899772528982485007
y[1] (numeric) = 0.21181769020857899772527451342887
absolute error = 1.531142119517512037275826579e-23
relative error = 7.2285847230690745459727055883487e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.9289
y[1] (analytic) = 0.21183500076041351047961835789316
y[1] (numeric) = 0.2118350007604135104796030151169
absolute error = 1.534277626218027730444693765e-23
relative error = 7.2427956697925652016482192386018e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.9288
y[1] (analytic) = 0.21185231324422022824188612419549
y[1] (numeric) = 0.21185231324422022824187075003296
absolute error = 1.537416252455620905671782563e-23
relative error = 7.2570189530255923172676379024538e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.541
x[1] = -1.9287
y[1] (analytic) = 0.21186962766025278898345056464728
y[1] (numeric) = 0.21186962766025278898343515906728
absolute error = 1.540557999897986084532472641e-23
relative error = 7.2712545772175261842317788936271e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.541
x[1] = -1.9286
y[1] (analytic) = 0.21188694400876486447300000528022
y[1] (numeric) = 0.21188694400876486447298456825152
absolute error = 1.543702870213568594798094967e-23
relative error = 7.2855025468190817474696758086428e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.541
x[1] = -1.9285
y[1] (analytic) = 0.21190426229001016027961615026216
y[1] (numeric) = 0.21190426229001016027960068175351
absolute error = 1.546850865071564866027570192e-23
relative error = 7.2997628662823188859403153308021e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.541
memory used=156.4MB, alloc=4.4MB, time=11.04
x[1] = -1.9284
y[1] (analytic) = 0.21192158250424241577583592807293
y[1] (numeric) = 0.21192158250424241577582042805307
absolute error = 1.550001986141922725249775202e-23
relative error = 7.3140355400606426931036968797068e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9283
y[1] (analytic) = 0.21193890465171540414071269021853
y[1] (numeric) = 0.21193890465171540414069715865618
absolute error = 1.553156235095341692736644104e-23
relative error = 7.3283205726088037573611238772806e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9282
y[1] (analytic) = 0.21195622873268293236287676184058
y[1] (numeric) = 0.21195622873268293236286119870444
absolute error = 1.556313613603273277867009930e-23
relative error = 7.3426179683828984424646355223755e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9281
y[1] (analytic) = 0.21197355474739884124359534357777
y[1] (numeric) = 0.21197355474739884124357974883654
absolute error = 1.559474123337921275081193280e-23
relative error = 7.3569277318403691678954877002642e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.928
y[1] (analytic) = 0.21199088269611700539983176403549
y[1] (numeric) = 0.21199088269611700539981613765783
absolute error = 1.562637765972242059926344142e-23
relative error = 7.3712498674400046892115917651361e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9279
y[1] (analytic) = 0.21200821257909133326730408221962
y[1] (numeric) = 0.21200821257909133326728842417419
absolute error = 1.565804543179944885192543073e-23
relative error = 7.3855843796419403783638197105829e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9278
y[1] (analytic) = 0.21202554439657576710354303929
y[1] (numeric) = 0.21202554439657576710352734954544
absolute error = 1.568974456635492177139667914e-23
relative error = 7.3999312729076585039810842229256e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9277
y[1] (analytic) = 0.21204287814882428299094935898897
y[1] (numeric) = 0.21204287814882428299093363751389
absolute error = 1.572147508014099831815032185e-23
relative error = 7.4142905516999885116241020166883e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9276
y[1] (analytic) = 0.21206021383609089083985039609964
y[1] (numeric) = 0.21206021383609089083983464286265
absolute error = 1.575323698991737511461801291e-23
relative error = 7.4286622204831073040077488126615e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9275
y[1] (analytic) = 0.21207755145862963439155613228867
y[1] (numeric) = 0.21207755145862963439154034725836
absolute error = 1.578503031245128941018192634e-23
relative error = 7.4430462837225395211919141811725e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9274
y[1] (analytic) = 0.21209489101669459122141451868768
y[1] (numeric) = 0.21209489101669459122139870183261
absolute error = 1.581685506451752204707465704e-23
relative error = 7.4574427458851578207407644014924e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.9273
y[1] (analytic) = 0.21211223251053987274186616456703
y[1] (numeric) = 0.21211223251053987274185031585577
absolute error = 1.584871126289840042718708223e-23
relative error = 7.4718516114391831578503215251355e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9272
y[1] (analytic) = 0.21212957594041962420549837145579
y[1] (numeric) = 0.21212957594041962420548249085687
absolute error = 1.588059892438380147978424340e-23
relative error = 7.4862728848541850654442665046461e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9271
y[1] (analytic) = 0.21214692130658802470809851206068
y[1] (numeric) = 0.21214692130658802470808259954262
absolute error = 1.591251806577115463012930915e-23
relative error = 7.5007065706010819342378744703700e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.927
y[1] (analytic) = 0.21216426860929928719170675333718
y[1] (numeric) = 0.21216426860929928719169080886848
absolute error = 1.594446870386544476901567851e-23
relative error = 7.5151526731521412927699898975860e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9269
y[1] (analytic) = 0.21218161784880765844766812306502
y[1] (numeric) = 0.21218161784880765844765214661417
absolute error = 1.597645085547921522320728455e-23
relative error = 7.5296111969809800874029495425374e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9268
y[1] (analytic) = 0.21219896902536741911968391928033
y[1] (numeric) = 0.21219896902536741911966791081579
absolute error = 1.600846453743257072678715734e-23
relative error = 7.5440821465625649622903607048793e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9267
y[1] (analytic) = 0.21221632213923288370686246191616
y[1] (numeric) = 0.2122163221392328837068464214064
absolute error = 1.604050976655318039341430573e-23
relative error = 7.5585655263732125393126425999078e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=11.31
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9266
y[1] (analytic) = 0.21223367719065840056676918600294
y[1] (numeric) = 0.21223367719065840056675311341638
absolute error = 1.607258655967628068948897651e-23
relative error = 7.5730613408905896979802382276950e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9265
y[1] (analytic) = 0.21225103417989835191847607577977
y[1] (numeric) = 0.21225103417989835191845997108484
absolute error = 1.610469493364467840822634981e-23
relative error = 7.5875695945937138553044043004121e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9264
y[1] (analytic) = 0.21226839310720715384561043906749
y[1] (numeric) = 0.21226839310720715384559430223259
absolute error = 1.613683490530875364463872904e-23
relative error = 7.6020902919629532456354865580285e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.9263
y[1] (analytic) = 0.21228575397283925629940302125382
y[1] (numeric) = 0.21228575397283925629938685224733
absolute error = 1.616900649152646277142628348e-23
relative error = 7.6166234374800272004685877459811e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.54
x[1] = -1.9262
y[1] (analytic) = 0.21230311677704914310173545824069
y[1] (numeric) = 0.21230311677704914310171925703099
absolute error = 1.620120970916334141577640163e-23
relative error = 7.6311690356280064282165355613718e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9261
y[1] (analytic) = 0.21232048152009133194818706770342
y[1] (numeric) = 0.21232048152009133194817083425885
absolute error = 1.623344457509250743707171280e-23
relative error = 7.6457270908913132939500576104980e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.926
y[1] (analytic) = 0.21233784820222037441108097801114
y[1] (numeric) = 0.21233784820222037441106471230004
absolute error = 1.626571110619466390550683451e-23
relative error = 7.6602976077557220991050704960817e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9259
y[1] (analytic) = 0.21235521682369085594252959415748
y[1] (numeric) = 0.21235521682369085594251329614816
absolute error = 1.629800931935810208161390285e-23
relative error = 7.6748805907083593611569899879168e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9258
y[1] (analytic) = 0.21237258738475739587747940005016
y[1] (numeric) = 0.21237258738475739587746306971093
absolute error = 1.633033923147870439669694278e-23
relative error = 7.6894760442377040932619691838943e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9257
y[1] (analytic) = 0.21238995988567464743675509650788
y[1] (numeric) = 0.21238995988567464743673873380703
absolute error = 1.636270085945994743417513511e-23
relative error = 7.7040839728335880838649714886931e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9256
y[1] (analytic) = 0.21240733432669729773010307431239
y[1] (numeric) = 0.21240733432669729773008667921817
absolute error = 1.639509422021290491183503662e-23
relative error = 7.7187043809871961762745851390193e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9255
y[1] (analytic) = 0.21242471070808006775923422166338
y[1] (numeric) = 0.21242471070808006775921779414405
absolute error = 1.642751933065625066499180954e-23
relative error = 7.7333372731910665482044859247979e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9254
y[1] (analytic) = 0.21244208903007771242086606538361
y[1] (numeric) = 0.2124420890300777124208496054074
absolute error = 1.645997620771626163055951641e-23
relative error = 7.7479826539390909912814546951600e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9253
y[1] (analytic) = 0.21245946929294502050976424522098
y[1] (numeric) = 0.21245946929294502050974775275611
absolute error = 1.649246486832682083203053621e-23
relative error = 7.7626405277265151905198562105252e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.9252
y[1] (analytic) = 0.21247685149693681472178332059435
y[1] (numeric) = 0.21247685149693681472176679560903
absolute error = 1.652498532942942036536415694e-23
relative error = 7.7773108990499390037624856016198e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9251
y[1] (analytic) = 0.21249423564230795165690690912916
y[1] (numeric) = 0.21249423564230795165689035159155
absolute error = 1.655753760797316438578440030e-23
relative error = 7.7919937724073167410876889513647e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.925
y[1] (analytic) = 0.21251162172931332182228715632886
y[1] (numeric) = 0.21251162172931332182227056620714
absolute error = 1.659012172091477209548713328e-23
relative error = 7.8066891522979574441826641540700e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9249
y[1] (analytic) = 0.21252900975820784963528353572765
y[1] (numeric) = 0.21252900975820784963526691298996
absolute error = 1.662273768521858073225652150e-23
relative error = 7.8213970432225251656828482545225e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.4MB, time=11.57
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9248
y[1] (analytic) = 0.21254639972924649342650097886969
y[1] (numeric) = 0.21254639972924649342648432348417
absolute error = 1.665538551785654855899087885e-23
relative error = 7.8361174496830392484772973671452e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9247
y[1] (analytic) = 0.21256379164268424544282733445968
y[1] (numeric) = 0.21256379164268424544281064639445
absolute error = 1.668806523580825785413796774e-23
relative error = 7.8508503761828746049799651966215e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9246
y[1] (analytic) = 0.21258118549877613185047015602923
y[1] (numeric) = 0.21258118549877613185045343525238
absolute error = 1.672077685606091790303980396e-23
relative error = 7.8655958272267619963667860697545e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9245
y[1] (analytic) = 0.21259858129777721273799281746323
y[1] (numeric) = 0.21259858129777721273797606394283
absolute error = 1.675352039560936799018702014e-23
relative error = 7.8803538073207883117784684179273e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9244
y[1] (analytic) = 0.21261597903994258211934995572995
y[1] (numeric) = 0.21261597903994258211933316943408
absolute error = 1.678629587145608039238284103e-23
relative error = 7.8951243209723968474889043216837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9243
y[1] (analytic) = 0.21263337872552736793692224015839
y[1] (numeric) = 0.21263337872552736793690542105509
absolute error = 1.681910330061116337281672437e-23
relative error = 7.9099073726903875860391010221599e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9242
y[1] (analytic) = 0.21265078035478673206455046760588
y[1] (numeric) = 0.21265078035478673206453361566318
absolute error = 1.685194270009236417604772004e-23
relative error = 7.9247029669849174753365398306043e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.9241
y[1] (analytic) = 0.21266818392797587031056898285876
y[1] (numeric) = 0.21266818392797587031055209804467
absolute error = 1.688481408692507202389760058e-23
relative error = 7.9395111083675007077198680900309e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.54
x[1] = -1.924
y[1] (analytic) = 0.21268558944535001242083842360844
y[1] (numeric) = 0.21268558944535001242082150589096
absolute error = 1.691771747814232111225381554e-23
relative error = 7.9543318013510089989888295814399e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.54
x[1] = -1.9239
y[1] (analytic) = 0.21270299690716442208177778934504
y[1] (numeric) = 0.21270299690716442208176083869215
absolute error = 1.695065289078479360878232196e-23
relative error = 7.9691650504496718673993387266134e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.54
x[1] = -1.9238
y[1] (analytic) = 0.21272040631367439692339583351007
y[1] (numeric) = 0.21272040631367439692337884988973
absolute error = 1.698362034190082265155034330e-23
relative error = 7.9840108601790769126236039837511e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
x[1] = -1.9237
y[1] (analytic) = 0.21273781766513526852232177824972
y[1] (numeric) = 0.21273781766513526852230476162987
absolute error = 1.701661984854639534855910842e-23
relative error = 7.9988692350561700946752055286114e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
x[1] = -1.9236
y[1] (analytic) = 0.21275523096180240240483535110962
y[1] (numeric) = 0.21275523096180240240481830145819
absolute error = 1.704965142778515577818662229e-23
relative error = 8.0137401795992560127990323865018e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
x[1] = -1.9235
y[1] (analytic) = 0.21277264620393119804989614301173
y[1] (numeric) = 0.21277264620393119804987906029663
absolute error = 1.708271509668840799054051988e-23
relative error = 8.0286236983279981843259841074188e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
x[1] = -1.9234
y[1] (analytic) = 0.2127900633917770888921722868537
y[1] (numeric) = 0.21279006339177708889215517104283
absolute error = 1.711581087233511900972105423e-23
relative error = 8.0435197957634193234923419002886e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
x[1] = -1.9233
y[1] (analytic) = 0.21280748252559554232506845607058
y[1] (numeric) = 0.21280748252559554232505130713181
absolute error = 1.714893877181192183699426954e-23
relative error = 8.0584284764279016202237141023462e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
x[1] = -1.9232
y[1] (analytic) = 0.21282490360564205970375318249848
y[1] (numeric) = 0.21282490360564205970373600039967
absolute error = 1.718209881221311845487541007e-23
relative error = 8.0733497448451870188834608715187e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
memory used=167.8MB, alloc=4.4MB, time=11.84
x[1] = -1.9231
y[1] (analytic) = 0.21284232663217217634818549287943
y[1] (numeric) = 0.21284232663217217634816827758842
absolute error = 1.721529101064068283212261493e-23
relative error = 8.0882836055403774969855026914408e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.539
x[1] = -1.923
y[1] (analytic) = 0.21285975160544146154614086334638
y[1] (numeric) = 0.212859751605441461546123614831
absolute error = 1.724851538420426392964094919e-23
relative error = 8.1032300630399353438714174787228e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9229
y[1] (analytic) = 0.2128771785257055185562364912267
y[1] (numeric) = 0.21287717852570551855621920945475
absolute error = 1.728177195002118870729682087e-23
relative error = 8.1181891218716834393517307088640e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9228
y[1] (analytic) = 0.21289460739321998461095588350257
y[1] (numeric) = 0.21289460739321998461093856844185
absolute error = 1.731506072521646513164283369e-23
relative error = 8.1331607865648055323113031632467e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9227
y[1] (analytic) = 0.21291203820824053091967276126595
y[1] (numeric) = 0.21291203820824053091965541288423
absolute error = 1.734838172692278518455312473e-23
relative error = 8.1481450616498465192787205924152e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9226
y[1] (analytic) = 0.21292947097102286267167427950565
y[1] (numeric) = 0.21292947097102286267165689777068
absolute error = 1.738173497228052787276923634e-23
relative error = 8.1631419516587127229595897159432e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9225
y[1] (analytic) = 0.21294690568182271903918356156362
y[1] (numeric) = 0.21294690568182271903916614644314
absolute error = 1.741512047843776223835657091e-23
relative error = 8.1781514611246721707336446721928e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9224
y[1] (analytic) = 0.21296434234089587318038154759722
y[1] (numeric) = 0.21296434234089587318036409905896
absolute error = 1.744853826255025037007147734e-23
relative error = 8.1931735945823548731155681753051e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9223
y[1] (analytic) = 0.21298178094849813224242815638398
y[1] (numeric) = 0.21298178094849813224241067439564
absolute error = 1.748198834178145041563901740e-23
relative error = 8.2082083565677531021794313675439e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9222
y[1] (analytic) = 0.21299922150488533736448275980467
y[1] (numeric) = 0.21299922150488533736446524433394
absolute error = 1.751547073330251959494146031e-23
relative error = 8.2232557516182216699466564570151e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9221
y[1] (analytic) = 0.21301666401031336368072396934076
y[1] (numeric) = 0.2130166640103133636807064203553
absolute error = 1.754898545429231721411755313e-23
relative error = 8.2383157842724782067374059195282e-21 %
h = 0.0001
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) = 0.21303410846503812032335115138873
absolute error = 1.758253252193740768057261475e-23
relative error = 8.2533884590706034394853021736139e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.9219
y[1] (analytic) = 0.21305155486931555042569074845418
y[1] (numeric) = 0.21305155486931555042567313234223
absolute error = 1.761611195343206351889950089e-23
relative error = 8.2684737805540414700153814956588e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.539
x[1] = -1.9218
y[1] (analytic) = 0.21306900322340163112503817237727
y[1] (numeric) = 0.21306900322340163112502052265351
absolute error = 1.764972376597826838771048696e-23
relative error = 8.2835717532656000532851857157189e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.539
x[1] = -1.9217
y[1] (analytic) = 0.2130864535275523735658506575621
y[1] (numeric) = 0.21308645352755237356583297419413
absolute error = 1.768336797678572009738011597e-23
relative error = 8.2986823817494508755888954307395e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.539
x[1] = -1.9216
y[1] (analytic) = 0.21310390578202382290267568490572
y[1] (numeric) = 0.21310390578202382290265796786112
absolute error = 1.771704460307183362869905774e-23
relative error = 8.3138056705511298327244080673078e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.539
x[1] = -1.9215
y[1] (analytic) = 0.21312135998707205830318420894333
y[1] (numeric) = 0.21312135998707205830316645818967
absolute error = 1.775075366206174415243902614e-23
relative error = 8.3289416242175373081232643880871e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.539
x[1] = -1.9214
y[1] (analytic) = 0.21313881614295319295118560981518
y[1] (numeric) = 0.21313881614295319295116782532
absolute error = 1.778449517098831004982880005e-23
relative error = 8.3440902472969384509433265847837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=12.11
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.539
x[1] = -1.9213
y[1] (analytic) = 0.21315627424992337404964195192069
y[1] (numeric) = 0.21315627424992337404962413365154
absolute error = 1.781826914709211593394139421e-23
relative error = 8.3592515443389634541241113626597e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.9212
y[1] (analytic) = 0.21317373430823878282368154859224
y[1] (numeric) = 0.21317373430823878282366369651663
absolute error = 1.785207560762147567199242538e-23
relative error = 8.3744255198946078324046811066076e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.9211
y[1] (analytic) = 0.21319119631815563452361183212078
y[1] (numeric) = 0.21319119631815563452359394620621
absolute error = 1.788591456983243540854971913e-23
relative error = 8.3896121785162327003039962089597e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.921
y[1] (analytic) = 0.21320866027993017842793152846517
y[1] (numeric) = 0.21320866027993017842791360867912
absolute error = 1.791978605098877658965420245e-23
relative error = 8.4048115247575650500636316153290e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.9209
y[1] (analytic) = 0.21322612619381869784634213597664
y[1] (numeric) = 0.21322612619381869784632418228657
absolute error = 1.795369006836201898785212687e-23
relative error = 8.4200235631736980295527604474253e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.9208
y[1] (analytic) = 0.2132435940600775101227587074695
y[1] (numeric) = 0.21324359406007751012274071984286
absolute error = 1.798762663923142372813866681e-23
relative error = 8.4352482983210912201353076131571e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9207
y[1] (analytic) = 0.21326106387896296663831993496885
y[1] (numeric) = 0.21326106387896296663830191337307
absolute error = 1.802159578088399631481293720e-23
relative error = 8.4504857347575709144991760327613e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9206
y[1] (analytic) = 0.2132785356507314528143975364657
y[1] (numeric) = 0.21327853565073145281437948086819
absolute error = 1.805559751061448965924447484e-23
relative error = 8.4657358770423303944474483488218e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9205
y[1] (analytic) = 0.21329600937563938811560494400953
y[1] (numeric) = 0.21329600937563938811558685437769
absolute error = 1.808963184572540710855122684e-23
relative error = 8.4809987297359302086514664956316e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9204
y[1] (analytic) = 0.21331348505394322605280529246798
y[1] (numeric) = 0.21331348505394322605278716876917
absolute error = 1.812369880352700547518909003e-23
relative error = 8.4962742974002984503656917989132e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9203
y[1] (analytic) = 0.21333096268589945418611870828298
y[1] (numeric) = 0.21333096268589945418610055048458
absolute error = 1.815779840133729806745304442e-23
relative error = 8.5115625845987310351042479347834e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9202
y[1] (analytic) = 0.21334844227176459412792889755239
y[1] (numeric) = 0.21334844227176459412791070562173
absolute error = 1.819193065648205772088992390e-23
relative error = 8.5268635958958919782790491662112e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9201
y[1] (analytic) = 0.21336592381179520154588903276556
y[1] (numeric) = 0.21336592381179520154587080666998
absolute error = 1.822609558629481983062286670e-23
relative error = 8.5421773358578136727994159989921e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.92
y[1] (analytic) = 0.21338340730624786616592693752134
y[1] (numeric) = 0.21338340730624786616590867722813
absolute error = 1.826029320811688538458748843e-23
relative error = 8.5575038090518971666330805778352e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9199
y[1] (analytic) = 0.21340089275537921177524956855621
y[1] (numeric) = 0.21340089275537921177523127403267
absolute error = 1.829452353929732399767981973e-23
relative error = 8.5728430200469124403284838108694e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.9198
y[1] (analytic) = 0.21341838015944589622534679441026
y[1] (numeric) = 0.21341838015944589622532846562366
absolute error = 1.832878659719297694681605058e-23
relative error = 8.5881949734129986844982662583909e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9197
y[1] (analytic) = 0.21343586951870461143499447005804
y[1] (numeric) = 0.21343586951870461143497610697564
absolute error = 1.836308239916846020690412307e-23
relative error = 8.6035596737216645772638547426842e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9196
y[1] (analytic) = 0.2134533608334120833932568068313
y[1] (numeric) = 0.21345336083341208339323840942034
absolute error = 1.839741096259616748772721394e-23
relative error = 8.6189371255457885616610464444158e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=12.38
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9195
y[1] (analytic) = 0.21347085410382507216248803695992
y[1] (numeric) = 0.21347085410382507216246960518761
absolute error = 1.843177230485627327173914840e-23
relative error = 8.6343273334596191230064923831619e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9194
y[1] (analytic) = 0.21348834933020037188133337205727
y[1] (numeric) = 0.21348834933020037188131490589083
absolute error = 1.846616644333673585277178583e-23
relative error = 8.6497303020387750662249817917003e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9193
y[1] (analytic) = 0.21350584651279481076772925487576
y[1] (numeric) = 0.21350584651279481076771075428237
absolute error = 1.850059339543330037565441830e-23
relative error = 8.6651460358602457931374290915395e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9192
y[1] (analytic) = 0.21352334565186525112190290365786
y[1] (numeric) = 0.21352334565186525112188436860468
absolute error = 1.853505317854950187674522232e-23
relative error = 8.6805745395023915797094649674423e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9191
y[1] (analytic) = 0.21354084674766858932937114840779
y[1] (numeric) = 0.21354084674766858932935257886198
absolute error = 1.856954581009666832537480384e-23
relative error = 8.6960158175449438532605328947296e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.919
y[1] (analytic) = 0.21355834980046175586393855840853
y[1] (numeric) = 0.21355834980046175586391995433722
absolute error = 1.860407130749392366620187666e-23
relative error = 8.7114698745690054696333925774926e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9189
y[1] (analytic) = 0.21357585481050171529069486030837
y[1] (numeric) = 0.21357585481050171529067622167869
absolute error = 1.863862968816819086248111365e-23
relative error = 8.7269367151570509903239314387450e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9188
y[1] (analytic) = 0.21359336177804546626901164610116
y[1] (numeric) = 0.21359336177804546626899297288019
absolute error = 1.867322096955419494024321034e-23
relative error = 8.7424163438929269595711854174352e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.9187
y[1] (analytic) = 0.21361087070335004155553837032366
y[1] (numeric) = 0.21361087070335004155551966247849
absolute error = 1.870784516909446603338719996e-23
relative error = 8.7579087653618521814074701414712e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9186
y[1] (analytic) = 0.2136283815866725080071976357935
y[1] (numeric) = 0.2136283815866725080071788932912
absolute error = 1.874250230423934242968505878e-23
relative error = 8.7734139841504179966685234773306e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9185
y[1] (analytic) = 0.21364589442826996658417976721037
y[1] (numeric) = 0.21364589442826996658416099001797
absolute error = 1.877719239244697361769864033e-23
relative error = 8.7889320048465885599635603696152e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9184
y[1] (analytic) = 0.21366340922839955235293667194318
y[1] (numeric) = 0.21366340922839955235291786002773
absolute error = 1.881191545118332333460897698e-23
relative error = 8.8044628320397011166051408763488e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9183
y[1] (analytic) = 0.21368092598731843448917498732536
y[1] (numeric) = 0.21368092598731843448915614065386
absolute error = 1.884667149792217261495798671e-23
relative error = 8.8200064703204662794987520409083e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9182
y[1] (analytic) = 0.21369844470528381628084851377989
y[1] (numeric) = 0.21369844470528381628082963231934
absolute error = 1.888146055014512284030262314e-23
relative error = 8.8355629242809683059920043932651e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9181
y[1] (analytic) = 0.2137159653825529351311499330959
y[1] (numeric) = 0.21371596538255293513113101681327
absolute error = 1.891628262534159878978150620e-23
relative error = 8.8511321985146653746833435897682e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.918
y[1] (analytic) = 0.21373348801938306256150181117758
y[1] (numeric) = 0.21373348801938306256148286003984
absolute error = 1.895113774100885169159407081e-23
relative error = 8.8667142976163898621901777356446e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9179
y[1] (analytic) = 0.21375101261603150421454688458637
y[1] (numeric) = 0.21375101261603150421452789856045
absolute error = 1.898602591465196227539227053e-23
relative error = 8.8823092261823486198763207822151e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9178
y[1] (analytic) = 0.21376853917275559985713763019669
y[1] (numeric) = 0.21376853917275559985711860924953
absolute error = 1.902094716378384382558487299e-23
relative error = 8.8979169888101232505386523604102e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.4MB, time=12.65
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9177
y[1] (analytic) = 0.21378606768981272338332511728533
y[1] (numeric) = 0.21378606768981272338330606138383
absolute error = 1.905590150592524523555438356e-23
relative error = 8.9135375900986703850528942882671e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.9176
y[1] (analytic) = 0.21380359816746028281734714137405
y[1] (numeric) = 0.2138035981674602828173280504851
absolute error = 1.909088895860475406278663350e-23
relative error = 8.9291710346483219589784039271073e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9175
y[1] (analytic) = 0.21382113060595572031661563914477
y[1] (numeric) = 0.21382113060595572031659651323523
absolute error = 1.912590953935879958491306854e-23
relative error = 8.9448173270607854891218844654550e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9174
y[1] (analytic) = 0.21383866500555651217470338374625
y[1] (numeric) = 0.21383866500555651217468422278299
absolute error = 1.916096326573165585666577358e-23
relative error = 8.9604764719391443500599121282519e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9173
y[1] (analytic) = 0.21385620136652016882432995981092
y[1] (numeric) = 0.21385620136652016882431076376077
absolute error = 1.919605015527544476774526894e-23
relative error = 8.9761484738878580506201802275057e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9172
y[1] (analytic) = 0.2138737396891042348403470174999
y[1] (numeric) = 0.21387373968910423484032778632968
absolute error = 1.923117022555013910160111335e-23
relative error = 8.9918333375127625103213598985429e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9171
y[1] (analytic) = 0.21389127997356628894272280489427
y[1] (numeric) = 0.21389127997356628894270353857078
absolute error = 1.926632349412356559512534850e-23
relative error = 9.0075310674210703357714772333685e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.917
y[1] (analytic) = 0.21390882222016394399952597804996
y[1] (numeric) = 0.21390882222016394399950667653998
absolute error = 1.930150997857140799925881984e-23
relative error = 9.0232416682213710970247065022998e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9169
y[1] (analytic) = 0.21392636642915484702990868803343
y[1] (numeric) = 0.21392636642915484702988935130373
absolute error = 1.933672969647721014051040800e-23
relative error = 9.0389651445236316038964790459389e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9168
y[1] (analytic) = 0.21394391260079667920708894425491
y[1] (numeric) = 0.21394391260079667920706957227225
absolute error = 1.937198266543237898338920483e-23
relative error = 9.0547015009391961822368072871818e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9167
y[1] (analytic) = 0.21396146073534715586133225341564
y[1] (numeric) = 0.21396146073534715586131284614673
absolute error = 1.940726890303618769374966794e-23
relative error = 9.0704507420807869501617232975764e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9166
y[1] (analytic) = 0.21397901083306402648293253338507
y[1] (numeric) = 0.21397901083306402648291309079664
absolute error = 1.944258842689577870304978738e-23
relative error = 9.0862128725625040942427312809141e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.9165
y[1] (analytic) = 0.21399656289420507472519230132385
y[1] (numeric) = 0.2139965628942050747251728233826
absolute error = 1.947794125462616677352229753e-23
relative error = 9.1019878969998261456541731113934e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.537
x[1] = -1.9164
y[1] (analytic) = 0.2140141169190281184074021353678
y[1] (numeric) = 0.21401411691902811840738262204039
absolute error = 1.951332740385024206425896741e-23
relative error = 9.1177758200096102562784061700966e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.537
x[1] = -1.9163
y[1] (analytic) = 0.21403167290779100951781940918787
y[1] (numeric) = 0.21403167290779100951779986044098
absolute error = 1.954874689219877319820800206e-23
relative error = 9.1335766462100924747686925028264e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.537
x[1] = -1.9162
y[1] (analytic) = 0.21404923086075163421664629874075
y[1] (numeric) = 0.21404923086075163421662671454102
absolute error = 1.958419973731041033008458749e-23
relative error = 9.1493903802208880225696982933925e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.537
x[1] = -1.9161
y[1] (analytic) = 0.21406679077816791283900706052429
y[1] (numeric) = 0.21406679077816791283898744083833
absolute error = 1.961968595683168821519461141e-23
relative error = 9.1652170266629915698955025521387e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.537
memory used=183.1MB, alloc=4.4MB, time=12.92
x[1] = -1.916
y[1] (analytic) = 0.21408435266029779989792458065157
y[1] (numeric) = 0.214084352660297799897904925446
absolute error = 1.965520556841702927917159160e-23
relative error = 9.1810565901587775116650137972730e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.9159
y[1] (analytic) = 0.21410191650739928408729619405732
y[1] (numeric) = 0.21410191650739928408727650329873
absolute error = 1.969075858972874668862684375e-23
relative error = 9.1969090753320002433946935339243e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.9158
y[1] (analytic) = 0.21411948231973038828486877314958
y[1] (numeric) = 0.21411948231973038828484904680454
absolute error = 1.972634503843704742271291994e-23
relative error = 9.2127744868077944370484850689931e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.9157
y[1] (analytic) = 0.21413705009754916955521308521961
y[1] (numeric) = 0.21413705009754916955519332325468
absolute error = 1.976196493222003534560034909e-23
relative error = 9.2286528292126753168448463161657e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.9156
y[1] (analytic) = 0.21415461984111371915269741792233
y[1] (numeric) = 0.21415461984111371915267762030404
absolute error = 1.979761828876371427986771004e-23
relative error = 9.2445441071745389350207849741487e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.9155
y[1] (analytic) = 0.21417219155068216252446047213938
y[1] (numeric) = 0.21417219155068216252444063883426
absolute error = 1.983330512576199108080506801e-23
relative error = 9.2604483253226624475527945449478e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.9154
y[1] (analytic) = 0.2141897652265126593133835215366
y[1] (numeric) = 0.21418976522651265931336365251114
absolute error = 1.986902546091667871163080461e-23
relative error = 9.2763654882877043898345894299499e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9153
y[1] (analytic) = 0.21420734086886340336106183812703
y[1] (numeric) = 0.21420734086886340336104193334772
absolute error = 1.990477931193749931962187147e-23
relative error = 9.2922956007017049523115373367858e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9152
y[1] (analytic) = 0.21422491847799262271077538315069
y[1] (numeric) = 0.214224918477992622710755442584
absolute error = 1.994056669654208731315749725e-23
relative error = 9.3082386671980862560716871271825e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9151
y[1] (analytic) = 0.21424249805415857961045876258148
y[1] (numeric) = 0.21424249805415857961043878619385
absolute error = 1.997638763245599243967637758e-23
relative error = 9.3241946924116526283932901800192e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.915
y[1] (analytic) = 0.21426007959761957051567044657157
y[1] (numeric) = 0.21426007959761957051565043432943
absolute error = 2.001224213741268286454737699e-23
relative error = 9.3401636809785908782487131572153e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9149
y[1] (analytic) = 0.21427766310863392609256125214318
y[1] (numeric) = 0.21427766310863392609254120401295
absolute error = 2.004813022915354825085377186e-23
relative error = 9.3561456375364705717646400883204e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9148
y[1] (analytic) = 0.21429524858746001122084208843715
y[1] (numeric) = 0.21429524858746001122082200438522
absolute error = 2.008405192542790284009106311e-23
relative error = 9.3721405667242443076384615872870e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9147
y[1] (analytic) = 0.21431283603435622499675096382751
y[1] (numeric) = 0.21431283603435622499673084382027
absolute error = 2.012000724399298853377838684e-23
relative error = 9.3881484731822479925107488192895e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9146
y[1] (analytic) = 0.21433042544958100073601925421088
y[1] (numeric) = 0.21433042544958100073599909821468
absolute error = 2.015599620261397797598355120e-23
relative error = 9.4041693615522011162937099106350e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9145
y[1] (analytic) = 0.21434801683339280597683723177896
y[1] (numeric) = 0.21434801683339280597681703976014
absolute error = 2.019201881906397763676172720e-23
relative error = 9.4202032364772070274555262713864e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9144
y[1] (analytic) = 0.21436561018605014248281885358232
y[1] (numeric) = 0.21436561018605014248279862550721
absolute error = 2.022807511112403089650782117e-23
relative error = 9.4362501026017532082604663429920e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.9143
y[1] (analytic) = 0.21438320550781154624596580919309
y[1] (numeric) = 0.21438320550781154624594554502799
absolute error = 2.026416509658312113122255595e-23
relative error = 9.4523099645717115499646740320289e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=13.19
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9142
y[1] (analytic) = 0.21440080279893558748963082677383
y[1] (numeric) = 0.21440080279893558748961052648504
absolute error = 2.030028879323817479869228794e-23
relative error = 9.4683828270343386279675291573583e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9141
y[1] (analytic) = 0.21441840205968087067148023685969
y[1] (numeric) = 0.21441840205968087067145990041347
absolute error = 2.033644621889406452558258679e-23
relative error = 9.4844686946382759769184771176188e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.914
y[1] (analytic) = 0.21443600329030603448645579316018
y[1] (numeric) = 0.21443600329030603448643542052279
absolute error = 2.037263739136361219544560402e-23
relative error = 9.5005675720335503657792248004452e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9139
y[1] (analytic) = 0.21445360649106975186973574968706
y[1] (numeric) = 0.21445360649106975186971534082473
absolute error = 2.040886232846759203764125687e-23
relative error = 9.5166794638715740728411998025813e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9138
y[1] (analytic) = 0.21447121166223072999969519351399
y[1] (numeric) = 0.21447121166223072999967474839294
absolute error = 2.044512104803473371717225329e-23
relative error = 9.5328043748051451606981698913344e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9137
y[1] (analytic) = 0.21448881880404771030086563247351
y[1] (numeric) = 0.21448881880404771030084515105994
absolute error = 2.048141356790172542543298353e-23
relative error = 9.5489423094884477511739194712551e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9136
y[1] (analytic) = 0.21450642791677946844689383709647
y[1] (numeric) = 0.21450642791677946844687331935657
absolute error = 2.051773990591321697187230386e-23
relative error = 9.5650932725770523002048798959407e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9135
y[1] (analytic) = 0.21452403900068481436349993609865
y[1] (numeric) = 0.21452403900068481436347938199857
absolute error = 2.055410007992182287657023739e-23
relative error = 9.5812572687279158726776102471771e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.9134
y[1] (analytic) = 0.21454165205602259223143476471891
y[1] (numeric) = 0.2145416520560225922314141742248
absolute error = 2.059049410778812546372861673e-23
relative error = 9.5974343025993824172210251399612e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.535
x[1] = -1.9133
y[1] (analytic) = 0.21455926708305168048943646521297
y[1] (numeric) = 0.21455926708305168048941583829097
absolute error = 2.062692200738067795607569309e-23
relative error = 9.6136243788511830409532660903019e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9132
y[1] (analytic) = 0.21457688408203099183718633880646
y[1] (numeric) = 0.21457688408203099183716567542267
absolute error = 2.066338379657600757018473595e-23
relative error = 9.6298275021444362841831128073144e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9131
y[1] (analytic) = 0.2145945030532194732382639484104
y[1] (numeric) = 0.21459450305321947323824324853091
absolute error = 2.069987949325861861270664733e-23
relative error = 9.6460436771416483950658307683136e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.913
y[1] (analytic) = 0.21461212399687610592310147140218
y[1] (numeric) = 0.21461212399687610592308073499307
absolute error = 2.073640911532099557751661422e-23
relative error = 9.6622729085067136042133512604471e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9129
y[1] (analytic) = 0.21462974691325990539193730177454
y[1] (numeric) = 0.21462974691325990539191652880186
absolute error = 2.077297268066360624377482266e-23
relative error = 9.6785152009049143992586800837632e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9128
y[1] (analytic) = 0.21464737180262992141776890095463
y[1] (numeric) = 0.21464737180262992141774809138442
absolute error = 2.080957020719490477490125647e-23
relative error = 9.6947705590029217993744309263261e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9127
y[1] (analytic) = 0.21466499866524523804930489659513
y[1] (numeric) = 0.21466499866524523804928405039342
absolute error = 2.084620171283133481846460352e-23
relative error = 9.7110389874687956297453794148977e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9126
y[1] (analytic) = 0.21468262750136497361391642863873
y[1] (numeric) = 0.21468262750136497361389554577152
absolute error = 2.088286721549733260698529203e-23
relative error = 9.7273204909719847959949337025659e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9125
y[1] (analytic) = 0.21470025831124828072058774195713
y[1] (numeric) = 0.21470025831124828072056682239039
absolute error = 2.091956673312533005965267916e-23
relative error = 9.7436150741833275585654173918819e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=13.46
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9124
y[1] (analytic) = 0.21471789109515434626286602486516
y[1] (numeric) = 0.21471789109515434626284506856487
absolute error = 2.095630028365575788495641392e-23
relative error = 9.7599227417750518070520605293315e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9123
y[1] (analytic) = 0.21473552585334239142181049281054
y[1] (numeric) = 0.21473552585334239142178949974265
absolute error = 2.099306788503704868423199599e-23
relative error = 9.7762434984207753344905942465146e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.9122
y[1] (analytic) = 0.21475316258607167166894071653905
y[1] (numeric) = 0.21475316258607167166891968666949
absolute error = 2.102986955522564005612055194e-23
relative error = 9.7925773487955061115983446214289e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9121
y[1] (analytic) = 0.2147708012936014767691841940348
y[1] (numeric) = 0.21477080129360147676916312732949
absolute error = 2.106670531218597770194284993e-23
relative error = 9.8089242975756425609687211869740e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.912
y[1] (analytic) = 0.21478844197619113078382316553487
y[1] (numeric) = 0.2147884419761911307838020619597
absolute error = 2.110357517389051853198757369e-23
relative error = 9.8252843494389738312189954281775e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9119
y[1] (analytic) = 0.21480608463409999207344067091708
y[1] (numeric) = 0.21480608463409999207341953043792
absolute error = 2.114047915831973377271387645e-23
relative error = 9.8416575090646800710912645939613e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9118
y[1] (analytic) = 0.2148237292675874533008658487594
y[1] (numeric) = 0.21482372926758745330084467134212
absolute error = 2.117741728346211207486823502e-23
relative error = 9.8580437811333327035064959753541e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9117
y[1] (analytic) = 0.21484137587691294143411847636928
y[1] (numeric) = 0.21484137587691294143409726197972
absolute error = 2.121438956731416262251562392e-23
relative error = 9.8744431703268946995715467074442e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9116
y[1] (analytic) = 0.21485902446233591774935275008035
y[1] (numeric) = 0.21485902446233591774933149868432
absolute error = 2.125139602788041824298502940e-23
relative error = 9.8908556813287208525390541695508e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9115
y[1] (analytic) = 0.21487667502411587783380030511413
y[1] (numeric) = 0.21487667502411587783377901667745
absolute error = 2.128843668317343851772932274e-23
relative error = 9.9072813188235580517200918938070e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9114
y[1] (analytic) = 0.21489432756251235158871247430369
y[1] (numeric) = 0.21489432756251235158869114879214
absolute error = 2.132551155121381289409951186e-23
relative error = 9.9237200874975455563494857700937e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9113
y[1] (analytic) = 0.21491198207778490323230178497575
y[1] (numeric) = 0.2149119820777849032322804223551
absolute error = 2.136262065003016379803339017e-23
relative error = 9.9401719920382152694036853341191e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9112
y[1] (analytic) = 0.21492963857019313130268269328777
y[1] (numeric) = 0.21492963857019313130266129352377
absolute error = 2.139976399765914974765860119e-23
relative error = 9.9566370371344920113710847847480e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.9111
y[1] (analytic) = 0.21494729703999666866081155531563
y[1] (numeric) = 0.21494729703999666866079011837402
absolute error = 2.143694161214546846781013723e-23
relative error = 9.9731152274766937939746883105670e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.535
x[1] = -1.911
y[1] (analytic) = 0.21496495748745518249342583418764
y[1] (numeric) = 0.21496495748745518249340436003413
absolute error = 2.147415351154186000546229006e-23
relative error = 9.9896065677565320938470141838205e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.535
x[1] = -1.9109
y[1] (analytic) = 0.21498261991282837431598254255993
y[1] (numeric) = 0.21498261991282837431596103116022
absolute error = 2.151139971390910984607507132e-23
relative error = 1.0006111062667112126157132041850e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.535
x[1] = -1.9108
y[1] (analytic) = 0.21500028431637597997559591972804
y[1] (numeric) = 0.21500028431637597997557437104781
absolute error = 2.154868023731605203085512003e-23
relative error = 1.0022628716902933118189727640553e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.535
memory used=194.5MB, alloc=4.4MB, time=13.74
x[1] = -1.9107
y[1] (analytic) = 0.21501795069835776965397434266911
y[1] (numeric) = 0.21501795069835776965395275667401
absolute error = 2.158599509983957227493111435e-23
relative error = 1.0039159535159888582876089312625e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.534
x[1] = -1.9106
y[1] (analytic) = 0.21503561905903354787035647030867
y[1] (numeric) = 0.21503561905903354787033484696435
absolute error = 2.162334431956461108644370439e-23
relative error = 1.0055703522135266592276910246535e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.534
x[1] = -1.9105
y[1] (analytic) = 0.21505328939866315348444662030584
y[1] (numeric) = 0.21505328939866315348442495957792
absolute error = 2.166072791458416688654998270e-23
relative error = 1.0072260682527750051016800669232e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.534
x[1] = -1.9104
y[1] (analytic) = 0.21507096171750645969934937765002
y[1] (numeric) = 0.21507096171750645969932767950412
absolute error = 2.169814590299929913034250845e-23
relative error = 1.0088831021037416969670403773416e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.534
x[1] = -1.9103
y[1] (analytic) = 0.21508863601582337406450343436219
y[1] (numeric) = 0.21508863601582337406448169876389
absolute error = 2.173559830291913142868290167e-23
relative error = 1.0105414542365740738100009443910e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.534
x[1] = -1.9102
y[1] (analytic) = 0.21510631229387383847861465959327
y[1] (numeric) = 0.21510631229387383847859288650814
absolute error = 2.177308513246085467095002276e-23
relative error = 1.0122011251215590398744559344615e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.534
x[1] = -1.9101
y[1] (analytic) = 0.2151239905519178291925883994117
y[1] (numeric) = 0.21512399055191782919256658880529
absolute error = 2.181060640974973014870275299e-23
relative error = 1.0138621152291230919859937211149e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.534
x[1] = -1.91
y[1] (analytic) = 0.21514167079021535681246100557217
y[1] (numeric) = 0.21514167079021535681243915741002
absolute error = 2.184816215291909268025739094e-23
relative error = 1.0155244250298323468710437882821e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9099
y[1] (analytic) = 0.21515935300902646630233059255675
y[1] (numeric) = 0.21515935300902646630230870680437
absolute error = 2.188575238011035373617967973e-23
relative error = 1.0171880549943925684711308607715e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9098
y[1] (analytic) = 0.2151770372086112369872870221797
y[1] (numeric) = 0.21517703720861123698726509880259
absolute error = 2.192337710947300456569147943e-23
relative error = 1.0188530055936491952522255987596e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9097
y[1] (analytic) = 0.21519472338922978255634111504639
y[1] (numeric) = 0.21519472338922978255631915401003
absolute error = 2.196103635916461932399209908e-23
relative error = 1.0205192772985873675091811994749e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9096
y[1] (analytic) = 0.21521241155114225106535308815693
y[1] (numeric) = 0.21521241155114225106533108942678
absolute error = 2.199873014735085820049430202e-23
relative error = 1.0221868705803319546652452200476e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9095
y[1] (analytic) = 0.21523010169460882493996021794415
y[1] (numeric) = 0.21523010169460882493993818148566
absolute error = 2.203645849220547054797499838e-23
relative error = 1.0238557859101475825666359471692e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9094
y[1] (analytic) = 0.21524779381988972097850372803582
y[1] (numeric) = 0.21524779381988972097848165381441
absolute error = 2.207422141191029801264063778e-23
relative error = 1.0255260237594386607721726067406e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9093
y[1] (analytic) = 0.21526548792724519035495490102998
y[1] (numeric) = 0.21526548792724519035493278901106
absolute error = 2.211201892465527766510731568e-23
relative error = 1.0271975845997494098379487295266e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9092
y[1] (analytic) = 0.21528318401693551862184041357243
y[1] (numeric) = 0.21528318401693551862181826372138
absolute error = 2.214985104863844513229560577e-23
relative error = 1.0288704689027638885970379447749e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9091
y[1] (analytic) = 0.21530088208922102571316689402476
y[1] (numeric) = 0.21530088208922102571314470630695
absolute error = 2.218771780206593773024013101e-23
relative error = 1.0305446771403060214342214887167e-20 %
h = 0.0001
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) = 0.21531858214436206594732247639172
absolute error = 2.222561920315199759781388561e-23
relative error = 1.0322202097843396255557267047470e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=14.02
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.9089
y[1] (analytic) = 0.21533628418261902803011092913018
y[1] (numeric) = 0.21533628418261902803008866557491
absolute error = 2.226355527011897483136731950e-23
relative error = 1.0338970673069684382539657824587e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9088
y[1] (analytic) = 0.21535398820425233505745162012356
y[1] (numeric) = 0.21535398820425233505742931859754
absolute error = 2.230152602119733062028219728e-23
relative error = 1.0355752501804361441672640079120e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9087
y[1] (analytic) = 0.21537169420952244451852321378099
y[1] (numeric) = 0.21537169420952244451850087424951
absolute error = 2.233953147462564038344024254e-23
relative error = 1.0372547588771264025345667511973e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9086
y[1] (analytic) = 0.21538940219868984829857320287548
y[1] (numeric) = 0.21538940219868984829855082530383
absolute error = 2.237757164865059690660657877e-23
relative error = 1.0389355938695628744451144374647e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9085
y[1] (analytic) = 0.21540711217201507268186001241068
y[1] (numeric) = 0.21540711217201507268183759676412
absolute error = 2.241564656152701348072797758e-23
relative error = 1.0406177556304092500830747291601e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9084
y[1] (analytic) = 0.2154248241297586783545720954676
y[1] (numeric) = 0.21542482412975867835454964171136
absolute error = 2.245375623151782704114592438e-23
relative error = 1.0423012446324692759671211255443e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9083
y[1] (analytic) = 0.21544253807218126040774624593586
y[1] (numeric) = 0.21544253807218126040772375403518
absolute error = 2.249190067689410130772451189e-23
relative error = 1.0439860613486867821849472005953e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9082
y[1] (analytic) = 0.21546025399954344834018512741471
y[1] (numeric) = 0.21546025399954344834016259733479
absolute error = 2.253007991593502992589317115e-23
relative error = 1.0456722062521457096227056727136e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9081
y[1] (analytic) = 0.21547797191210590606137401756832
y[1] (numeric) = 0.21547797191210590606135144927435
absolute error = 2.256829396692793960860424953e-23
relative error = 1.0473596798160701371893614965865e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.908
y[1] (analytic) = 0.21549569181012933189439676721983
y[1] (numeric) = 0.21549569181012933189437416067698
absolute error = 2.260654284816829327920544497e-23
relative error = 1.0490484825138243090359481598727e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.9079
y[1] (analytic) = 0.21551341369387445857885097346795
y[1] (numeric) = 0.21551341369387445857882832864137
absolute error = 2.264482657795969321522710541e-23
relative error = 1.0507386148189126617697163596816e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.533
x[1] = -1.9078
y[1] (analytic) = 0.21553113756360205327376236610979
y[1] (numeric) = 0.21553113756360205327373968296462
absolute error = 2.268314517461388419308440189e-23
relative error = 1.0524300772049798516631642163993e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9077
y[1] (analytic) = 0.2155488634195729175604984066531
y[1] (numeric) = 0.21554886341957291756047568515445
absolute error = 2.272149865645075663369438381e-23
relative error = 1.0541228701458107818579381877440e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9076
y[1] (analytic) = 0.21556659126204788744568109920061
y[1] (numeric) = 0.21556659126204788744565833931356
absolute error = 2.275988704179834974900792416e-23
relative error = 1.0558169941153306295635938192504e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9075
y[1] (analytic) = 0.21558432109128783336409901248907
y[1] (numeric) = 0.21558432109128783336407621417872
absolute error = 2.279831034899285468945656268e-23
relative error = 1.0575124495876048732512054792283e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9074
y[1] (analytic) = 0.21560205290755366018161851236498
y[1] (numeric) = 0.21560205290755366018159567559638
absolute error = 2.283676859637861769231425408e-23
relative error = 1.0592092370368393198418141926208e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9073
y[1] (analytic) = 0.21561978671110630719809420397863
y[1] (numeric) = 0.21561978671110630719807132871683
absolute error = 2.287526180230814323097402871e-23
relative error = 1.0609073569373801318897027051551e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9072
y[1] (analytic) = 0.21563752250220674815027858297787
y[1] (numeric) = 0.21563752250220674815025566918789
absolute error = 2.291378998514209716513957230e-23
relative error = 1.0626068097637138547604868783656e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=14.30
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9071
y[1] (analytic) = 0.21565526028111599121473089498242
y[1] (numeric) = 0.21565526028111599121470794262926
absolute error = 2.295235316324930989193173139e-23
relative error = 1.0643075959904674438040125209938e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.907
y[1] (analytic) = 0.21567300004809507901072520261939
y[1] (numeric) = 0.21567300004809507901070221166804
absolute error = 2.299095135500677949790995060e-23
relative error = 1.0660097160924082915220467453954e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9069
y[1] (analytic) = 0.21569074180340508860315765940008
y[1] (numeric) = 0.2156907418034050886031346298155
absolute error = 2.302958457879967491200864770e-23
relative error = 1.0677131705444442547307529337141e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9068
y[1] (analytic) = 0.21570848554730713150545298971788
y[1] (numeric) = 0.21570848554730713150542992146503
absolute error = 2.306825285302133905938853211e-23
relative error = 1.0694179598216236817179383882255e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.9067
y[1] (analytic) = 0.21572623128006235368247017424676
y[1] (numeric) = 0.21572623128006235368244706729056
absolute error = 2.310695619607329201620287200e-23
relative error = 1.0711240843991354393950637238804e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9066
y[1] (analytic) = 0.21574397900193193555340734001922
y[1] (numeric) = 0.21574397900193193555338419432459
absolute error = 2.314569462636523416527871520e-23
relative error = 1.0728315447523089404440030679005e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9065
y[1] (analytic) = 0.21576172871317709199470585446256
y[1] (numeric) = 0.2157617287131770919946826699944
absolute error = 2.318446816231504935271306849e-23
relative error = 1.0745403413566141704585441065775e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9064
y[1] (analytic) = 0.21577948041405907234295362267164
y[1] (numeric) = 0.21577948041405907234293039939481
absolute error = 2.322327682234880804538403971e-23
relative error = 1.0762504746876617150806170183911e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9063
y[1] (analytic) = 0.21579723410483916039778758719592
y[1] (numeric) = 0.2157972341048391603977643250753
absolute error = 2.326212062490077048937694671e-23
relative error = 1.0779619452212027871312413180835e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9062
y[1] (analytic) = 0.21581498978577867442479542961863
y[1] (numeric) = 0.21581498978577867442477212861904
absolute error = 2.330099958841338986932539716e-23
relative error = 1.0796747534331292537361796413296e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9061
y[1] (analytic) = 0.2158327474571389671584164732048
y[1] (numeric) = 0.21583274745713896715839313329107
absolute error = 2.333991373133731546866734239e-23
relative error = 1.0813888997994736634462874652631e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.906
y[1] (analytic) = 0.21585050711918142580484178589529
y[1] (numeric) = 0.21585050711918142580481840703222
absolute error = 2.337886307213139583081610872e-23
relative error = 1.0831043847964092733525477785793e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9059
y[1] (analytic) = 0.21586826877216747204491348292289
y[1] (numeric) = 0.21586826877216747204489006507526
absolute error = 2.341784762926268192124640903e-23
relative error = 1.0848212089002500761957796870625e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9058
y[1] (analytic) = 0.21588603241635856203702322832674
y[1] (numeric) = 0.21588603241635856203699977145932
absolute error = 2.345686742120643029049533712e-23
relative error = 1.0865393725874508274710099361647e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.9057
y[1] (analytic) = 0.21590379805201618642000993464054
y[1] (numeric) = 0.21590379805201618641998643871808
absolute error = 2.349592246644610623807834723e-23
relative error = 1.0882588763346070725264963289680e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.533
x[1] = -1.9056
y[1] (analytic) = 0.21592156567940187031605666002987
y[1] (numeric) = 0.21592156567940187031603312501709
absolute error = 2.353501278347338697732022065e-23
relative error = 1.0899797206184551736573920025405e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.533
x[1] = -1.9055
y[1] (analytic) = 0.21593933529877717333358670215342
y[1] (numeric) = 0.21593933529877717333356312801503
absolute error = 2.357413839078816480110102098e-23
relative error = 1.0917019059158723371940395136217e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.533
memory used=206.0MB, alloc=4.4MB, time=14.59
x[1] = -1.9054
y[1] (analytic) = 0.21595710691040368957015888802269
y[1] (numeric) = 0.21595710691040368957013527472338
absolute error = 2.361329930689855024851703953e-23
relative error = 1.0934254327038766405848836864133e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.533
x[1] = -1.9053
y[1] (analytic) = 0.21597488051454304761536205913423
y[1] (numeric) = 0.21597488051454304761533840663868
absolute error = 2.365249555032087527245673187e-23
relative error = 1.0951503014596270594739921581016e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.533
x[1] = -1.9052
y[1] (analytic) = 0.21599265611145691055370875114809
y[1] (numeric) = 0.21599265611145691055368505942095
absolute error = 2.369172713957969640809164615e-23
relative error = 1.0968765126604234947731725447754e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.533
x[1] = -1.9051
y[1] (analytic) = 0.21601043370140697596752806738591
y[1] (numeric) = 0.21601043370140697596750433639181
absolute error = 2.373099409320779794228234385e-23
relative error = 1.0986040667837067997286751573608e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.905
y[1] (analytic) = 0.21602821328465497593985774542155
y[1] (numeric) = 0.21602821328465497593983397512512
absolute error = 2.377029642974619508389931281e-23
relative error = 1.1003329643070588069824701648031e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.9049
y[1] (analytic) = 0.21604599486146267705733541603689
y[1] (numeric) = 0.21604599486146267705731160640272
absolute error = 2.380963416774413713505887258e-23
relative error = 1.1020632057082023556280881156477e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.9048
y[1] (analytic) = 0.21606377843209188041308905381488
y[1] (numeric) = 0.21606377843209188041306520480756
absolute error = 2.384900732575911066327407146e-23
relative error = 1.1037947914650013182610127032864e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.9047
y[1] (analytic) = 0.21608156399680442160962661864188
y[1] (numeric) = 0.21608156399680442160960273022595
absolute error = 2.388841592235684267452057452e-23
relative error = 1.1055277220554606280236146615762e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.9046
y[1] (analytic) = 0.21609935155586217076172488739041
y[1] (numeric) = 0.21609935155586217076170095953044
absolute error = 2.392785997611130378721754138e-23
relative error = 1.1072619979577263056446156590830e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9045
y[1] (analytic) = 0.21611714110952703249931747505373
y[1] (numeric) = 0.21611714110952703249929350771423
absolute error = 2.396733950560471140712349240e-23
relative error = 1.1089976196500854864730710593476e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9044
y[1] (analytic) = 0.21613493265806094597038204460257
y[1] (numeric) = 0.21613493265806094597035803774804
absolute error = 2.400685452942753290314716155e-23
relative error = 1.1107345876109664475068604021566e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9043
y[1] (analytic) = 0.21615272620172588484382670483454
y[1] (numeric) = 0.21615272620172588484380265842947
absolute error = 2.404640506617848878407333389e-23
relative error = 1.1124729023189386344156744502461e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9042
y[1] (analytic) = 0.21617052174078385731237559548602
y[1] (numeric) = 0.21617052174078385731235150949488
absolute error = 2.408599113446455587620366533e-23
relative error = 1.1142125642527126885584876390262e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9041
y[1] (analytic) = 0.21618831927549690609545365887607
y[1] (numeric) = 0.21618831927549690609542953326332
absolute error = 2.412561275290097050191248194e-23
relative error = 1.1159535738911404739955047536085e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.904
y[1] (analytic) = 0.21620611880612710844207059735156
y[1] (numeric) = 0.21620611880612710844204643208162
absolute error = 2.416526994011123165911755589e-23
relative error = 1.1176959317132151044945706538332e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9039
y[1] (analytic) = 0.21622392033293657613370401580211
y[1] (numeric) = 0.2162239203329365761336798108394
absolute error = 2.420496271472710420166585480e-23
relative error = 1.1194396381980709705320318593379e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9038
y[1] (analytic) = 0.21624172385618745548718174851345
y[1] (numeric) = 0.21624172385618745548715750382236
absolute error = 2.424469109538862202063426068e-23
relative error = 1.1211846938249837662880387841774e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9037
y[1] (analytic) = 0.21625952937614192735756336962701
y[1] (numeric) = 0.21625952937614192735753908517191
absolute error = 2.428445510074409122654525486e-23
relative error = 1.1229310990733705166362774259247e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=14.88
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9036
y[1] (analytic) = 0.2162773368930622071410208864734
y[1] (numeric) = 0.21627733689306220714099656221865
absolute error = 2.432425474945009333249756432e-23
relative error = 1.1246788544227896041281192736353e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.9035
y[1] (analytic) = 0.21629514640721054477771861504704
y[1] (numeric) = 0.21629514640721054477769425095698
absolute error = 2.436409006017148843821176522e-23
relative error = 1.1264279603529407959711782223575e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9034
y[1] (analytic) = 0.21631295791884922475469223688875
y[1] (numeric) = 0.2163129579188492247546678329277
absolute error = 2.440396105158141841499083853e-23
relative error = 1.1281784173436652710022632455120e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9033
y[1] (analytic) = 0.21633077142824056610872703664275
y[1] (numeric) = 0.21633077142824056610870259277501
absolute error = 2.444386774236131009159567279e-23
relative error = 1.1299302258749456466547155877556e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9032
y[1] (analytic) = 0.21634858693564692242923531955413
y[1] (numeric) = 0.21634858693564692242921083574398
absolute error = 2.448381015120087844103550827e-23
relative error = 1.1316833864269060059201192110887e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9031
y[1] (analytic) = 0.21636640444133068186113300817256
y[1] (numeric) = 0.21636640444133068186110848438427
absolute error = 2.452378829679812976827331701e-23
relative error = 1.1334378994798119243043732419705e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.903
y[1] (analytic) = 0.21638422394555426710771541752743
y[1] (numeric) = 0.21638422394555426710769085372523
absolute error = 2.456380219785936489884611244e-23
relative error = 1.1351937655140704967781151364523e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9029
y[1] (analytic) = 0.21640204544858013543353220803938
y[1] (numeric) = 0.21640204544858013543350760418751
absolute error = 2.460385187309918236840018219e-23
relative error = 1.1369509850102303647214832814917e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9028
y[1] (analytic) = 0.21641986895067077866726151543287
y[1] (numeric) = 0.21641986895067077866723687149552
absolute error = 2.464393734124048161314123742e-23
relative error = 1.1387095584489817428632077429965e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9027
y[1] (analytic) = 0.21643769445208872320458325691369
y[1] (numeric) = 0.21643769445208872320455857285507
absolute error = 2.468405862101446616119947152e-23
relative error = 1.1404694863111564462140178542914e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9026
y[1] (analytic) = 0.21645552195309653001105161287546
y[1] (numeric) = 0.21645552195309653001102688865973
absolute error = 2.472421573116064682490952082e-23
relative error = 1.1422307690777279169943553343426e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9025
y[1] (analytic) = 0.21647335145395679462496668339825
y[1] (numeric) = 0.21647335145395679462494191898956
absolute error = 2.476440869042684489400531969e-23
relative error = 1.1439934072298112515563816184120e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.9024
y[1] (analytic) = 0.21649118295493214716024531880249
y[1] (numeric) = 0.21649118295493214716022051416497
absolute error = 2.480463751756919532972984194e-23
relative error = 1.1457574012486632273002680674578e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.532
x[1] = -1.9023
y[1] (analytic) = 0.21650901645628525230929112352069
y[1] (numeric) = 0.21650901645628525230926627861846
absolute error = 2.484490223135214995985972019e-23
relative error = 1.1475227516156823295847577168828e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.532
x[1] = -1.9022
y[1] (analytic) = 0.21652685195827880934586363254922
y[1] (numeric) = 0.21652685195827880934583874734637
absolute error = 2.488520285054848067464473464e-23
relative error = 1.1492894588124087786319872195251e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9021
y[1] (analytic) = 0.21654468946117555212794665974197
y[1] (numeric) = 0.21654468946117555212792173420258
absolute error = 2.492553939393928262366216221e-23
relative error = 1.1510575233205245564265576219267e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.902
y[1] (analytic) = 0.21656252896523824910061581720737
y[1] (numeric) = 0.21656252896523824910059085129549
absolute error = 2.496591188031397741358597678e-23
relative error = 1.1528269456218534336088426072324e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9019
y[1] (analytic) = 0.21658037047072970329890520506976
y[1] (numeric) = 0.21658037047072970329888019874943
absolute error = 2.500632032847031630687089093e-23
relative error = 1.1545977261983609963625228282373e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=15.15
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9018
y[1] (analytic) = 0.21659821397791275235067327085595
y[1] (numeric) = 0.2165982139779127523506482240912
absolute error = 2.504676475721438342135122925e-23
relative error = 1.1563698655321546732963349442855e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9017
y[1] (analytic) = 0.21661605948705026847946783776702
y[1] (numeric) = 0.21661605948705026847944275052184
absolute error = 2.508724518536059893075462309e-23
relative error = 1.1581433641054837623200239719092e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9016
y[1] (analytic) = 0.21663390699840515850739030109548
y[1] (numeric) = 0.21663390699840515850736517333385
absolute error = 2.512776163173172226613051587e-23
relative error = 1.1599182224007394575144875299131e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9015
y[1] (analytic) = 0.2166517565122403638579589920472
y[1] (numeric) = 0.21665175651224036385793382373309
absolute error = 2.516831411515885531819346857e-23
relative error = 1.1616944409004548759961005881385e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9014
y[1] (analytic) = 0.21666960802881886055897170822726
y[1] (numeric) = 0.21666960802881886055894649932461
absolute error = 2.520890265448144564058125363e-23
relative error = 1.1634720200873050847752092704287e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.9013
y[1] (analytic) = 0.21668746154840365924536741004847
y[1] (numeric) = 0.2166874615484036592453421605212
absolute error = 2.524952726854728965402772624e-23
relative error = 1.1652509604441071276087823024088e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9012
y[1] (analytic) = 0.21670531707125780516208708232087
y[1] (numeric) = 0.2167053170712578051620617921329
absolute error = 2.529018797621253585145046086e-23
relative error = 1.1670312624538200518472086475479e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9011
y[1] (analytic) = 0.2167231745976443781669337602803
y[1] (numeric) = 0.2167231745976443781669084293955
absolute error = 2.533088479634168800395314088e-23
relative error = 1.1688129265995449352752298836898e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.901
y[1] (analytic) = 0.21674103412782649273343171931343
y[1] (numeric) = 0.21674103412782649273340634769568
absolute error = 2.537161774780760836774268893e-23
relative error = 1.1705959533645249129469958592792e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9009
y[1] (analytic) = 0.21675889566206729795368482763661
y[1] (numeric) = 0.21675889566206729795365941524976
absolute error = 2.541238684949152089196112516e-23
relative error = 1.1723803432321452040152321652416e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9008
y[1] (analytic) = 0.21677675920062997754123406118529
y[1] (numeric) = 0.21677675920062997754120860799317
absolute error = 2.545319212028301442743214007e-23
relative error = 1.1741660966859331385545079298508e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9007
y[1] (analytic) = 0.21679462474377774983391417997035
y[1] (numeric) = 0.21679462474377774983388868593677
absolute error = 2.549403357908004593632236872e-23
relative error = 1.1759532142095581843785924609796e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9006
y[1] (analytic) = 0.21681249229177386779670956515748
y[1] (numeric) = 0.21681249229177386779668403024624
absolute error = 2.553491124478894370271735236e-23
relative error = 1.1777416962868319738518892292123e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9005
y[1] (analytic) = 0.21683036184488161902460921612518
y[1] (numeric) = 0.21683036184488161902458364030004
absolute error = 2.557582513632441054411217339e-23
relative error = 1.1795315434017083306949356848538e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9004
y[1] (analytic) = 0.21684823340336432574546090675661
y[1] (numeric) = 0.21684823340336432574543528998134
absolute error = 2.561677527260952702381674935e-23
relative error = 1.1813227560382832967839573977319e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9003
y[1] (analytic) = 0.21686610696748534482282450022029
y[1] (numeric) = 0.21686610696748534482279884245862
absolute error = 2.565776167257575466427577097e-23
relative error = 1.1831153346807951589444649833543e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9002
y[1] (analytic) = 0.21688398253750806775882442149386
y[1] (numeric) = 0.2168839825375080677587987227095
absolute error = 2.569878435516293916130326937e-23
relative error = 1.1849092798136244757388822873255e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 3.531
x[1] = -1.9001
memory used=217.4MB, alloc=4.4MB, time=15.41
y[1] (analytic) = 0.21690186011369592069700128688524
y[1] (numeric) = 0.2169018601136959206969755470419
absolute error = 2.573984333931931359923179698e-23
relative error = 1.1867045919212941042481942815297e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 3.531
x[1] = -1.9
y[1] (analytic) = 0.21691973969631236442516268980477
y[1] (numeric) = 0.21691973969631236442513690886613
absolute error = 2.578093864400150166697620626e-23
relative error = 1.1885012714884692268476031085860e-20 %
h = 0.0001
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 = 7 Minutes 26 Seconds
Optimized Time Remaining = 7 Minutes 25 Seconds
Time to Timeout = 14 Minutes 44 Seconds
Percent Done = 3.337 %
> quit
memory used=217.7MB, alloc=4.4MB, time=15.43