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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> DEBUGL,
> DEBUGMASSIVE,
> INFO,
> ALWAYS,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_max_sec,
> glob_max_trunc_err,
> glob_log10_relerr,
> glob_look_poles,
> glob_large_float,
> glob_not_yet_start_msg,
> glob_almost_1,
> glob_log10abserr,
> glob_start,
> glob_warned2,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_max_opt_iter,
> glob_html_log,
> glob_optimal_clock_start_sec,
> glob_dump_analytic,
> glob_hmin_init,
> glob_hmin,
> glob_clock_start_sec,
> days_in_year,
> glob_current_iter,
> years_in_century,
> sec_in_min,
> glob_optimal_start,
> glob_disp_incr,
> glob_optimal_expect_sec,
> glob_clock_sec,
> glob_display_flag,
> glob_dump,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_last_good_h,
> glob_reached_optimal_h,
> hours_in_day,
> min_in_hour,
> glob_log10relerr,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_max_hours,
> glob_relerr,
> glob_hmax,
> glob_initial_pass,
> glob_not_yet_finished,
> centuries_in_millinium,
> djd_debug2,
> glob_max_minutes,
> glob_warned,
> glob_log10_abserr,
> glob_optimal_done,
> glob_subiter_method,
> glob_percent_done,
> glob_iter,
> glob_no_eqs,
> MAX_UNCHANGED,
> djd_debug,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> #END CONST
> array_type_pole,
> array_m1,
> array_y,
> array_x,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_norms,
> array_last_rel_error,
> array_fact_1,
> array_1st_rel_error,
> array_pole,
> array_y_higher,
> array_complex_pole,
> array_y_higher_work,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> 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, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel,
glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles,
glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr,
glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h,
glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec,
glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec,
days_in_year, glob_current_iter, years_in_century, sec_in_min,
glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec,
glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour,
glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float,
glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr,
glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium,
djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr,
glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter,
glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0,
array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1,
array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8,
array_tmp9, array_norms, array_last_rel_error, array_fact_1,
array_1st_rel_error, array_pole, array_y_higher, array_complex_pole,
array_y_higher_work, array_y_higher_work2, array_fact_2,
array_y_set_initial, array_poles, array_real_pole, 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,
> DEBUGMASSIVE,
> INFO,
> ALWAYS,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_max_sec,
> glob_max_trunc_err,
> glob_log10_relerr,
> glob_look_poles,
> glob_large_float,
> glob_not_yet_start_msg,
> glob_almost_1,
> glob_log10abserr,
> glob_start,
> glob_warned2,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_max_opt_iter,
> glob_html_log,
> glob_optimal_clock_start_sec,
> glob_dump_analytic,
> glob_hmin_init,
> glob_hmin,
> glob_clock_start_sec,
> days_in_year,
> glob_current_iter,
> years_in_century,
> sec_in_min,
> glob_optimal_start,
> glob_disp_incr,
> glob_optimal_expect_sec,
> glob_clock_sec,
> glob_display_flag,
> glob_dump,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_last_good_h,
> glob_reached_optimal_h,
> hours_in_day,
> min_in_hour,
> glob_log10relerr,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_max_hours,
> glob_relerr,
> glob_hmax,
> glob_initial_pass,
> glob_not_yet_finished,
> centuries_in_millinium,
> djd_debug2,
> glob_max_minutes,
> glob_warned,
> glob_log10_abserr,
> glob_optimal_done,
> glob_subiter_method,
> glob_percent_done,
> glob_iter,
> glob_no_eqs,
> MAX_UNCHANGED,
> djd_debug,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> #END CONST
> array_type_pole,
> array_m1,
> array_y,
> array_x,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_norms,
> array_last_rel_error,
> array_fact_1,
> array_1st_rel_error,
> array_pole,
> array_y_higher,
> array_complex_pole,
> array_y_higher_work,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> 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, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel,
glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles,
glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr,
glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h,
glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec,
glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec,
days_in_year, glob_current_iter, years_in_century, sec_in_min,
glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec,
glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour,
glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float,
glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr,
glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium,
djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr,
glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter,
glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0,
array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1,
array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8,
array_tmp9, array_norms, array_last_rel_error, array_fact_1,
array_1st_rel_error, array_pole, array_y_higher, array_complex_pole,
array_y_higher_work, array_y_higher_work2, array_fact_2,
array_y_set_initial, array_poles, array_real_pole, 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,
> DEBUGMASSIVE,
> INFO,
> ALWAYS,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_max_sec,
> glob_max_trunc_err,
> glob_log10_relerr,
> glob_look_poles,
> glob_large_float,
> glob_not_yet_start_msg,
> glob_almost_1,
> glob_log10abserr,
> glob_start,
> glob_warned2,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_max_opt_iter,
> glob_html_log,
> glob_optimal_clock_start_sec,
> glob_dump_analytic,
> glob_hmin_init,
> glob_hmin,
> glob_clock_start_sec,
> days_in_year,
> glob_current_iter,
> years_in_century,
> sec_in_min,
> glob_optimal_start,
> glob_disp_incr,
> glob_optimal_expect_sec,
> glob_clock_sec,
> glob_display_flag,
> glob_dump,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_last_good_h,
> glob_reached_optimal_h,
> hours_in_day,
> min_in_hour,
> glob_log10relerr,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_max_hours,
> glob_relerr,
> glob_hmax,
> glob_initial_pass,
> glob_not_yet_finished,
> centuries_in_millinium,
> djd_debug2,
> glob_max_minutes,
> glob_warned,
> glob_log10_abserr,
> glob_optimal_done,
> glob_subiter_method,
> glob_percent_done,
> glob_iter,
> glob_no_eqs,
> MAX_UNCHANGED,
> djd_debug,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> #END CONST
> array_type_pole,
> array_m1,
> array_y,
> array_x,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_norms,
> array_last_rel_error,
> array_fact_1,
> array_1st_rel_error,
> array_pole,
> array_y_higher,
> array_complex_pole,
> array_y_higher_work,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> 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, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel,
glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles,
glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr,
glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h,
glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec,
glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec,
days_in_year, glob_current_iter, years_in_century, sec_in_min,
glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec,
glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour,
glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float,
glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr,
glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium,
djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr,
glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter,
glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0,
array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1,
array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8,
array_tmp9, array_norms, array_last_rel_error, array_fact_1,
array_1st_rel_error, array_pole, array_y_higher, array_complex_pole,
array_y_higher_work, array_y_higher_work2, array_fact_2,
array_y_set_initial, array_poles, array_real_pole, 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,
> DEBUGMASSIVE,
> INFO,
> ALWAYS,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_max_sec,
> glob_max_trunc_err,
> glob_log10_relerr,
> glob_look_poles,
> glob_large_float,
> glob_not_yet_start_msg,
> glob_almost_1,
> glob_log10abserr,
> glob_start,
> glob_warned2,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_max_opt_iter,
> glob_html_log,
> glob_optimal_clock_start_sec,
> glob_dump_analytic,
> glob_hmin_init,
> glob_hmin,
> glob_clock_start_sec,
> days_in_year,
> glob_current_iter,
> years_in_century,
> sec_in_min,
> glob_optimal_start,
> glob_disp_incr,
> glob_optimal_expect_sec,
> glob_clock_sec,
> glob_display_flag,
> glob_dump,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_last_good_h,
> glob_reached_optimal_h,
> hours_in_day,
> min_in_hour,
> glob_log10relerr,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_max_hours,
> glob_relerr,
> glob_hmax,
> glob_initial_pass,
> glob_not_yet_finished,
> centuries_in_millinium,
> djd_debug2,
> glob_max_minutes,
> glob_warned,
> glob_log10_abserr,
> glob_optimal_done,
> glob_subiter_method,
> glob_percent_done,
> glob_iter,
> glob_no_eqs,
> MAX_UNCHANGED,
> djd_debug,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> #END CONST
> array_type_pole,
> array_m1,
> array_y,
> array_x,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_norms,
> array_last_rel_error,
> array_fact_1,
> array_1st_rel_error,
> array_pole,
> array_y_higher,
> array_complex_pole,
> array_y_higher_work,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> 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, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel,
glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles,
glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr,
glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h,
glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec,
glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec,
days_in_year, glob_current_iter, years_in_century, sec_in_min,
glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec,
glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour,
glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float,
glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr,
glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium,
djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr,
glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter,
glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0,
array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1,
array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8,
array_tmp9, array_norms, array_last_rel_error, array_fact_1,
array_1st_rel_error, array_pole, array_y_higher, array_complex_pole,
array_y_higher_work, array_y_higher_work2, array_fact_2,
array_y_set_initial, array_poles, array_real_pole, 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,
> DEBUGMASSIVE,
> INFO,
> ALWAYS,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_max_sec,
> glob_max_trunc_err,
> glob_log10_relerr,
> glob_look_poles,
> glob_large_float,
> glob_not_yet_start_msg,
> glob_almost_1,
> glob_log10abserr,
> glob_start,
> glob_warned2,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_max_opt_iter,
> glob_html_log,
> glob_optimal_clock_start_sec,
> glob_dump_analytic,
> glob_hmin_init,
> glob_hmin,
> glob_clock_start_sec,
> days_in_year,
> glob_current_iter,
> years_in_century,
> sec_in_min,
> glob_optimal_start,
> glob_disp_incr,
> glob_optimal_expect_sec,
> glob_clock_sec,
> glob_display_flag,
> glob_dump,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_last_good_h,
> glob_reached_optimal_h,
> hours_in_day,
> min_in_hour,
> glob_log10relerr,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_max_hours,
> glob_relerr,
> glob_hmax,
> glob_initial_pass,
> glob_not_yet_finished,
> centuries_in_millinium,
> djd_debug2,
> glob_max_minutes,
> glob_warned,
> glob_log10_abserr,
> glob_optimal_done,
> glob_subiter_method,
> glob_percent_done,
> glob_iter,
> glob_no_eqs,
> MAX_UNCHANGED,
> djd_debug,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> #END CONST
> array_type_pole,
> array_m1,
> array_y,
> array_x,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_norms,
> array_last_rel_error,
> array_fact_1,
> array_1st_rel_error,
> array_pole,
> array_y_higher,
> array_complex_pole,
> array_y_higher_work,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> 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, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel,
glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles,
glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr,
glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h,
glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec,
glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec,
days_in_year, glob_current_iter, years_in_century, sec_in_min,
glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec,
glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour,
glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float,
glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr,
glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium,
djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr,
glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter,
glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0,
array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1,
array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8,
array_tmp9, array_norms, array_last_rel_error, array_fact_1,
array_1st_rel_error, array_pole, array_y_higher, array_complex_pole,
array_y_higher_work, array_y_higher_work2, array_fact_2,
array_y_set_initial, array_poles, array_real_pole, 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,
> DEBUGMASSIVE,
> INFO,
> ALWAYS,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_max_sec,
> glob_max_trunc_err,
> glob_log10_relerr,
> glob_look_poles,
> glob_large_float,
> glob_not_yet_start_msg,
> glob_almost_1,
> glob_log10abserr,
> glob_start,
> glob_warned2,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_max_opt_iter,
> glob_html_log,
> glob_optimal_clock_start_sec,
> glob_dump_analytic,
> glob_hmin_init,
> glob_hmin,
> glob_clock_start_sec,
> days_in_year,
> glob_current_iter,
> years_in_century,
> sec_in_min,
> glob_optimal_start,
> glob_disp_incr,
> glob_optimal_expect_sec,
> glob_clock_sec,
> glob_display_flag,
> glob_dump,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_last_good_h,
> glob_reached_optimal_h,
> hours_in_day,
> min_in_hour,
> glob_log10relerr,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_max_hours,
> glob_relerr,
> glob_hmax,
> glob_initial_pass,
> glob_not_yet_finished,
> centuries_in_millinium,
> djd_debug2,
> glob_max_minutes,
> glob_warned,
> glob_log10_abserr,
> glob_optimal_done,
> glob_subiter_method,
> glob_percent_done,
> glob_iter,
> glob_no_eqs,
> MAX_UNCHANGED,
> djd_debug,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> #END CONST
> array_type_pole,
> array_m1,
> array_y,
> array_x,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_norms,
> array_last_rel_error,
> array_fact_1,
> array_1st_rel_error,
> array_pole,
> array_y_higher,
> array_complex_pole,
> array_y_higher_work,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> 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, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel,
glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles,
glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr,
glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h,
glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec,
glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec,
days_in_year, glob_current_iter, years_in_century, sec_in_min,
glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec,
glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour,
glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float,
glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr,
glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium,
djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr,
glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter,
glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0,
array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1,
array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8,
array_tmp9, array_norms, array_last_rel_error, array_fact_1,
array_1st_rel_error, array_pole, array_y_higher, array_complex_pole,
array_y_higher_work, array_y_higher_work2, array_fact_2,
array_y_set_initial, array_poles, array_real_pole, 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)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 13
> if array_fact_1[nnn] = 0 then # if number 14
> ret := nnn!;
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 14
> ;
> else
> ret := nnn!;
> fi;# end if 13
> ;
> ret;
> # End Function number 17
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then ret := nnn!; array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := nnn!
end if;
ret
end proc
> # Begin Function number 18
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then # if number 13
> if array_fact_2[mmm,nnn] = 0 then # if number 14
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 14
> ;
> else
> ret := (mmm!)/(nnn!);
> fi;# end if 13
> ;
> ret;
> # End Function number 18
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := mmm!/nnn!
end if;
ret
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,iiif,jjjf,
> 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,
> DEBUGMASSIVE,
> INFO,
> ALWAYS,
> glob_max_terms,
> glob_iolevel,
> #Top Generate Globals Decl
> glob_max_sec,
> glob_max_trunc_err,
> glob_log10_relerr,
> glob_look_poles,
> glob_large_float,
> glob_not_yet_start_msg,
> glob_almost_1,
> glob_log10abserr,
> glob_start,
> glob_warned2,
> glob_smallish_float,
> glob_abserr,
> glob_h,
> glob_max_opt_iter,
> glob_html_log,
> glob_optimal_clock_start_sec,
> glob_dump_analytic,
> glob_hmin_init,
> glob_hmin,
> glob_clock_start_sec,
> days_in_year,
> glob_current_iter,
> years_in_century,
> sec_in_min,
> glob_optimal_start,
> glob_disp_incr,
> glob_optimal_expect_sec,
> glob_clock_sec,
> glob_display_flag,
> glob_dump,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_last_good_h,
> glob_reached_optimal_h,
> hours_in_day,
> min_in_hour,
> glob_log10relerr,
> glob_normmax,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_max_rel_trunc_err,
> glob_max_iter,
> glob_max_hours,
> glob_relerr,
> glob_hmax,
> glob_initial_pass,
> glob_not_yet_finished,
> centuries_in_millinium,
> djd_debug2,
> glob_max_minutes,
> glob_warned,
> glob_log10_abserr,
> glob_optimal_done,
> glob_subiter_method,
> glob_percent_done,
> glob_iter,
> glob_no_eqs,
> MAX_UNCHANGED,
> djd_debug,
> glob_log10normmin,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2D0,
> array_const_0D0,
> array_const_1D0,
> array_const_1,
> #END CONST
> array_type_pole,
> array_m1,
> array_y,
> array_x,
> array_y_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_norms,
> array_last_rel_error,
> array_fact_1,
> array_1st_rel_error,
> array_pole,
> array_y_higher,
> array_complex_pole,
> array_y_higher_work,
> array_y_higher_work2,
> array_fact_2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> INFO := 2;
> ALWAYS := 1;
> glob_max_terms := 30;
> glob_iolevel := 5;
> glob_max_sec := 10000.0;
> glob_max_trunc_err := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_look_poles := false;
> glob_large_float := 9.0e100;
> glob_not_yet_start_msg := true;
> glob_almost_1 := 0.9990;
> glob_log10abserr := 0.0;
> glob_start := 0;
> glob_warned2 := false;
> glob_smallish_float := 0.1e-100;
> glob_abserr := 0.1e-10;
> glob_h := 0.1;
> glob_max_opt_iter := 10;
> glob_html_log := true;
> glob_optimal_clock_start_sec := 0.0;
> glob_dump_analytic := false;
> glob_hmin_init := 0.001;
> glob_hmin := 0.00000000001;
> glob_clock_start_sec := 0.0;
> days_in_year := 365.0;
> glob_current_iter := 0;
> years_in_century := 100.0;
> sec_in_min := 60.0;
> glob_optimal_start := 0.0;
> glob_disp_incr := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_clock_sec := 0.0;
> glob_display_flag := true;
> glob_dump := false;
> glob_curr_iter_when_opt := 0;
> glob_orig_start_sec := 0.0;
> glob_last_good_h := 0.1;
> glob_reached_optimal_h := false;
> hours_in_day := 24.0;
> min_in_hour := 60.0;
> glob_log10relerr := 0.0;
> glob_normmax := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_small_float := 0.1e-50;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_iter := 1000;
> glob_max_hours := 0.0;
> glob_relerr := 0.1e-10;
> glob_hmax := 1.0;
> glob_initial_pass := true;
> glob_not_yet_finished := true;
> centuries_in_millinium := 10.0;
> djd_debug2 := true;
> glob_max_minutes := 0.0;
> glob_warned := false;
> glob_log10_abserr := 0.1e-10;
> glob_optimal_done := false;
> glob_subiter_method := 3;
> glob_percent_done := 0.0;
> glob_iter := 0;
> glob_no_eqs := 0;
> MAX_UNCHANGED := 10;
> djd_debug := true;
> glob_log10normmin := 0.1;
> #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 := 32;");
> omniout_str(ALWAYS,"max_terms := 30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -2.0;");
> omniout_str(ALWAYS,"x_end := 1.0;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.1;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 50;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"1.0 / (x * x + 1.0);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits := 32;
> max_terms := 30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_tmp7:= Array(0..(max_terms + 1),[]);
> array_tmp8:= Array(0..(max_terms + 1),[]);
> array_tmp9:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> 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_m1[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_y_init[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_norms[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_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_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 <=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 <=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 <=max_terms do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> 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_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2D0[1] := 2.0;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_0D0[1] := 0.0;
> array_const_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_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_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while iiif <= glob_max_terms do # do number 2
> jjjf := 0;
> while jjjf <= glob_max_terms do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3
> ;
> iiif := iiif + 1;
> od;# end do number 2
> ;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := -2.0;
> x_end := 1.0;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.1;
> glob_look_poles := true;
> glob_max_iter := 50;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> if glob_html_log then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_y();
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := abs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 3
> glob_log10normmin := log10norm;
> fi;# end if 3
> fi;# end if 2
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 2
> #left paren 0004C
> check_for_pole();
> fi;# end if 2
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (factorial_1(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (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)) / (factorial_1(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (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)) / (factorial_1(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> 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,"2012-06-18T01:00:57-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sing4")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 3
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 3
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 3
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 3
> ;
> log_revs(html_log_file," 092 | ")
> ;
> logitem_str(html_log_file,"sing4 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing4 maple results")
> ;
> logitem_str(html_log_file,"Mostly affecting speed of factorials")
> ;
> 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, iiif, jjjf, 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, DEBUGMASSIVE, INFO, ALWAYS, glob_max_terms, glob_iolevel,
glob_max_sec, glob_max_trunc_err, glob_log10_relerr, glob_look_poles,
glob_large_float, glob_not_yet_start_msg, glob_almost_1, glob_log10abserr,
glob_start, glob_warned2, glob_smallish_float, glob_abserr, glob_h,
glob_max_opt_iter, glob_html_log, glob_optimal_clock_start_sec,
glob_dump_analytic, glob_hmin_init, glob_hmin, glob_clock_start_sec,
days_in_year, glob_current_iter, years_in_century, sec_in_min,
glob_optimal_start, glob_disp_incr, glob_optimal_expect_sec, glob_clock_sec,
glob_display_flag, glob_dump, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_last_good_h, glob_reached_optimal_h, hours_in_day, min_in_hour,
glob_log10relerr, glob_normmax, glob_unchanged_h_cnt, glob_small_float,
glob_max_rel_trunc_err, glob_max_iter, glob_max_hours, glob_relerr,
glob_hmax, glob_initial_pass, glob_not_yet_finished, centuries_in_millinium,
djd_debug2, glob_max_minutes, glob_warned, glob_log10_abserr,
glob_optimal_done, glob_subiter_method, glob_percent_done, glob_iter,
glob_no_eqs, MAX_UNCHANGED, djd_debug, glob_log10normmin, array_const_2D0,
array_const_0D0, array_const_1D0, array_const_1, array_type_pole, array_m1,
array_y, array_x, array_y_init, array_tmp0, array_tmp1, array_tmp2,
array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8,
array_tmp9, array_norms, array_last_rel_error, array_fact_1,
array_1st_rel_error, array_pole, array_y_higher, array_complex_pole,
array_y_higher_work, array_y_higher_work2, array_fact_2,
array_y_set_initial, array_poles, array_real_pole, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
DEBUGL := 3;
DEBUGMASSIVE := 4;
INFO := 2;
ALWAYS := 1;
glob_max_terms := 30;
glob_iolevel := 5;
glob_max_sec := 10000.0;
glob_max_trunc_err := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_look_poles := false;
glob_large_float := 0.90*10^101;
glob_not_yet_start_msg := true;
glob_almost_1 := 0.9990;
glob_log10abserr := 0.;
glob_start := 0;
glob_warned2 := false;
glob_smallish_float := 0.1*10^(-100);
glob_abserr := 0.1*10^(-10);
glob_h := 0.1;
glob_max_opt_iter := 10;
glob_html_log := true;
glob_optimal_clock_start_sec := 0.;
glob_dump_analytic := false;
glob_hmin_init := 0.001;
glob_hmin := 0.1*10^(-10);
glob_clock_start_sec := 0.;
days_in_year := 365.0;
glob_current_iter := 0;
years_in_century := 100.0;
sec_in_min := 60.0;
glob_optimal_start := 0.;
glob_disp_incr := 0.1;
glob_optimal_expect_sec := 0.1;
glob_clock_sec := 0.;
glob_display_flag := true;
glob_dump := false;
glob_curr_iter_when_opt := 0;
glob_orig_start_sec := 0.;
glob_last_good_h := 0.1;
glob_reached_optimal_h := false;
hours_in_day := 24.0;
min_in_hour := 60.0;
glob_log10relerr := 0.;
glob_normmax := 0.;
glob_unchanged_h_cnt := 0;
glob_small_float := 0.1*10^(-50);
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_iter := 1000;
glob_max_hours := 0.;
glob_relerr := 0.1*10^(-10);
glob_hmax := 1.0;
glob_initial_pass := true;
glob_not_yet_finished := true;
centuries_in_millinium := 10.0;
djd_debug2 := true;
glob_max_minutes := 0.;
glob_warned := false;
glob_log10_abserr := 0.1*10^(-10);
glob_optimal_done := false;
glob_subiter_method := 3;
glob_percent_done := 0.;
glob_iter := 0;
glob_no_eqs := 0;
MAX_UNCHANGED := 10;
djd_debug := true;
glob_log10normmin := 0.1;
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 := 32;");
omniout_str(ALWAYS, "max_terms := 30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -2.0;");
omniout_str(ALWAYS, "x_end := 1.0;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.1;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 50;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "1.0 / (x * x + 1.0);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_type_pole := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_y_init := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_tmp7 := Array(0 .. max_terms + 1, []);
array_tmp8 := Array(0 .. max_terms + 1, []);
array_tmp9 := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
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_m1[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_y_init[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_norms[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_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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 <= 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 <= 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 <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
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_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_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_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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := -2.0;
x_end := 1.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.1;
glob_look_poles := true;
glob_max_iter := 50;
glob_h := 0.001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_y();
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/factorial_1(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
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)/factorial_1(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
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)/factorial_1(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
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, "2012-06-18T01:00:57-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "sing4");
logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 2.0 * x / (\
x * x + 1.0) /( x * x + 1.0);");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 092 | ");
logitem_str(html_log_file,
"sing4 diffeq.mxt");
logitem_str(html_log_file,
"sing4 maple results");
logitem_str(html_log_file, "Mostly affecting speed of factorials");
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 := 32;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -2.0;
x_end := 1.0;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.1;
glob_look_poles := true;
glob_max_iter := 50;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
1.0 / (x * x + 1.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = -2
y[1] (analytic) = 0.2
y[1] (numeric) = 0.2
absolute error = 0
relative error = 0 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.572
x[1] = -1.999
y[1] (analytic) = 0.20016008803841312281562793922579
y[1] (numeric) = 0.20016008803841312280259461284531
absolute error = 1.303332638048e-20
relative error = 6.5114511630204460480000000000001e-18 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.998
y[1] (analytic) = 0.20032035230741001008813294220117
y[1] (numeric) = 0.20032035230741001006185471122437
absolute error = 2.627823097680e-20
relative error = 1.3118103414910950720000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.997
y[1] (analytic) = 0.20048079303786340401550999607258
y[1] (numeric) = 0.20048079303786340397577407231289
absolute error = 3.973592375969e-20
relative error = 1.9820314533664755721000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.996
y[1] (analytic) = 0.20064141046096160204943162301245
y[1] (numeric) = 0.20064141046096160199602400264422
absolute error = 5.340762036823e-20
relative error = 2.6618443443718421167999999999999e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.995
y[1] (analytic) = 0.20080220480820879413255957550414
y[1] (numeric) = 0.20080220480820879406526503337082
absolute error = 6.729454213332e-20
relative error = 3.3512850218748693300000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.57
x[1] = -1.994
y[1] (analytic) = 0.20096317631142539965546873053169
y[1] (numeric) = 0.20096317631142539957407081443032
absolute error = 8.139791610137e-20
relative error = 4.0503896084539676932000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.993
y[1] (analytic) = 0.2011243252027484041287605974921
y[1] (numeric) = 0.2011243252027484040330416224341
absolute error = 9.571897505800e-20
relative error = 4.7591943421815384200000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.992
y[1] (analytic) = 0.20128565171463169556591863550872
y[1] (numeric) = 0.2012856517146316954556596779569
absolute error = 1.1025895755182e-19
relative error = 5.4777355769072507648000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.568
x[1] = -1.991
y[1] (analytic) = 0.20144715607984640057243223871649
y[1] (numeric) = 0.20144715607984640044741313079817
absolute error = 1.2501910791832e-19
relative error = 6.2060497825428186392000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.99
y[1] (analytic) = 0.20160883853148122013669079252434
y[1] (numeric) = 0.20160883853148121999669011622049
absolute error = 1.4000067630385e-19
relative error = 6.9441735453472638500000000000001e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.989
y[1] (analytic) = 0.20177069930294276511812362934642
y[1] (numeric) = 0.20177069930294276496291871065676
memory used=3.8MB, alloc=3.1MB, time=0.53
absolute error = 1.5520491868966e-19
relative error = 7.6921435682111640885999999999999e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.988
y[1] (analytic) = 0.20193273862795589142803601833872
y[1] (numeric) = 0.20193273862795589125740292142273
absolute error = 1.7063309691599e-19
relative error = 8.4499966709393838256000000000002e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.987
y[1] (analytic) = 0.20209495674056403489856550978756
y[1] (numeric) = 0.2020949567405640347122790310812
absolute error = 1.8628647870636e-19
relative error = 9.2177697905397065484000000000000e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.986
y[1] (analytic) = 0.20225735387512954583515702047411
y[1] (numeric) = 0.20225735387512954563299068278233
absolute error = 2.0216633769178e-19
relative error = 9.9954999815034790887999999999999e-17 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.985
y[1] (analytic) = 0.20241993026633402324792899108846
y[1] (numeric) = 0.20241993026633402302965503765326
absolute error = 2.1827395343520e-19
relative error = 1.0783224416094109200000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.984
y[1] (analytic) = 0.20258268614917864875727677008648
y[1] (numeric) = 0.20258268614917864852266615863051
absolute error = 2.3461061145597e-19
relative error = 1.1580980384632006483200000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.983
y[1] (analytic) = 0.2027456217589845201690330797729
y[1] (numeric) = 0.20274562175898451991785547651858
absolute error = 2.5117760325432e-19
relative error = 1.2388805295776467384800000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.982
y[1] (analytic) = 0.2029087373313929847144789993515
y[1] (numeric) = 0.20290873733139298444650277301543
absolute error = 2.6797622633607e-19
relative error = 1.3206736676814858466800000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.981
y[1] (analytic) = 0.2030720331023659719504723557026
y[1] (numeric) = 0.20307203310236597166546457146528
absolute error = 2.8500778423732e-19
relative error = 1.4034812173946733525200000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.98
y[1] (analytic) = 0.20323550930818632631493374522397
y[1] (numeric) = 0.20323550930818632601266015867474
absolute error = 3.0227358654923e-19
relative error = 1.4873069552568312920000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.979
y[1] (analytic) = 0.20339916618545813933290361869491
y[1] (numeric) = 0.20339916618545813901312866975197
absolute error = 3.1977494894294e-19
relative error = 1.5721546697559768765400000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.978
y[1] (analytic) = 0.20356300397110708146835694528471
y[1] (numeric) = 0.20356300397110708113084375209018
absolute error = 3.3751319319453e-19
relative error = 1.6580281613570375125200000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.562
x[1] = -1.977
y[1] (analytic) = 0.20372702290238073361693493101497
y[1] (numeric) = 0.2037270229023807332614452838049
absolute error = 3.5548964721007e-19
relative error = 1.7449312425303976870300000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.976
y[1] (analytic) = 0.20389122321684891823472610068638
y[1] (numeric) = 0.20389122321684891786102045563561
absolute error = 3.7370564505077e-19
relative error = 1.8328677377805253235200000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.975
y[1] (analytic) = 0.20405560515240403009820175997959
y[1] (numeric) = 0.20405560515240402970603923302141
absolute error = 3.9216252695818e-19
relative error = 1.9218414836744308625000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.974
y[1] (analytic) = 0.20422016894726136669038343562041
y[1] (numeric) = 0.20422016894726136627952179624085
absolute error = 4.1086163937956e-19
relative error = 2.0118563288705463425600000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.973
y[1] (analytic) = 0.20438491483995945820829234564187
y[1] (numeric) = 0.20438491483995945777848801064867
absolute error = 4.2980433499320e-19
relative error = 2.1029161341469444428000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.972
y[1] (analytic) = 0.20454984306936039718670327836124
y[1] (numeric) = 0.20454984306936039673771130562727
absolute error = 4.4899197273397e-19
relative error = 2.1950247724302687924800000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.971
y[1] (analytic) = 0.20471495387465016773319745719461
y[1] (numeric) = 0.20471495387465016726477153937574
absolute error = 4.6842591781887e-19
relative error = 2.2881861288242467496700000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.97
y[1] (analytic) = 0.20488024749533897436948103833309
y[1] (numeric) = 0.20488024749533897388137349656042
absolute error = 4.8810754177267e-19
relative error = 2.3824041006382250030000000000000e-16 %
h = 0.001
memory used=7.6MB, alloc=4.3MB, time=1.20
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.969
y[1] (analytic) = 0.20504572417126157047390782907634
y[1] (numeric) = 0.20504572417126156996586960662269
absolute error = 5.0803822245365e-19
relative error = 2.4776825974157753576500000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.968
y[1] (analytic) = 0.20521138414257758632011662573384
y[1] (numeric) = 0.20521138414257758579189728165438
absolute error = 5.2821934407946e-19
relative error = 2.5740255409634664870399999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.967
y[1] (analytic) = 0.20537722764977185670666525093298
y[1] (numeric) = 0.20537722764977185615801295368001
absolute error = 5.4865229725297e-19
relative error = 2.6714368653791664443300000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.966
y[1] (analytic) = 0.20554325493365474817251492038488
y[1] (numeric) = 0.20554325493365474760317644139652
absolute error = 5.6933847898836e-19
relative error = 2.7699205170810935841599999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.965
y[1] (analytic) = 0.20570946623536248579318998812028
y[1] (numeric) = 0.20570946623536248520291069538314
absolute error = 5.9027929273714e-19
relative error = 2.8694804548361033965000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.964
y[1] (analytic) = 0.20587586179635747955240940638578
y[1] (numeric) = 0.20587586179635747894093325797143
absolute error = 6.1147614841435e-19
relative error = 2.9701206497884285975999999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.556
x[1] = -1.963
y[1] (analytic) = 0.20604244185842865028395739124719
y[1] (numeric) = 0.2060424418584286496510269288224
absolute error = 6.3293046242479e-19
relative error = 3.0718450854881406175100000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.962
y[1] (analytic) = 0.20620920666369175517853180694529
y[1] (numeric) = 0.20620920666369175452388814925585
absolute error = 6.5464365768944e-19
relative error = 3.1746577579201086713600000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.961
y[1] (analytic) = 0.20637615645458971285027967064842
y[1] (numeric) = 0.20637615645458971217366250697661
absolute error = 6.7661716367181e-19
relative error = 3.2785626755321924630100000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.96
y[1] (analytic) = 0.20654329147389292795769993390615
y[1] (numeric) = 0.20654329147389292725884751750164
absolute error = 6.9885241640451e-19
relative error = 3.3835638592640756159999999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.959
y[1] (analytic) = 0.20671061196469961537356431728343
y[1] (numeric) = 0.20671061196469961465221345876758
absolute error = 7.2135085851585e-19
relative error = 3.4896653425758157438499999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.958
y[1] (analytic) = 0.20687811817043612389847745980151
y[1] (numeric) = 0.20687811817043612315436352054497
absolute error = 7.4411393925654e-19
relative error = 3.5968711714764498165600000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.957
y[1] (analytic) = 0.20704581033485725951266799438243
y[1] (numeric) = 0.20704581033485725874552487985594
absolute error = 7.6714311452649e-19
relative error = 3.7051854045526532000100000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.956
y[1] (analytic) = 0.20721368870204660816057237393948
y[1] (numeric) = 0.20721368870204660737013252703783
absolute error = 7.9043984690165e-19
relative error = 3.8146121129971611944000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.955
y[1] (analytic) = 0.20738175351641685806274334952639
y[1] (numeric) = 0.20738175351641685724873774386541
absolute error = 8.1400560566098e-19
relative error = 3.9251553806373870845000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.954
y[1] (analytic) = 0.20755000502271012154958494149996
y[1] (numeric) = 0.20755000502271012071174307468642
absolute error = 8.3784186681354e-19
relative error = 4.0368193039641860906399999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.953
y[1] (analytic) = 0.20771844346599825641138554641064
y[1] (numeric) = 0.20771844346599825554943543328508
absolute error = 8.6195011312556e-19
relative error = 4.1496079921600890820399999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.952
y[1] (analytic) = 0.20788706909168318675909048575724
y[1] (numeric) = 0.20788706909168318587275865160952
absolute error = 8.8633183414772e-19
relative error = 4.2635255671281141068800000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.951
y[1] (analytic) = 0.20805588214549722339022482726681
y[1] (numeric) = 0.20805588214549722247923630102435
absolute error = 9.1098852624246e-19
relative error = 4.3785761635202859864599999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.3MB, time=1.90
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.95
y[1] (analytic) = 0.20822488287350338365434669442998
y[1] (numeric) = 0.20822488287350338271842500181865
absolute error = 9.3592169261133e-19
relative error = 4.4947639287659123250000000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.949
y[1] (analytic) = 0.20839407152209571081238052507387
y[1] (numeric) = 0.2083940715220957098512476817513
absolute error = 9.6113284332257e-19
relative error = 4.6120930231005277245700000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.948
y[1] (analytic) = 0.20856344833799959288414884422479
y[1] (numeric) = 0.20856344833799959189752534888619
absolute error = 9.8662349533860e-19
relative error = 4.7305676195939667744000000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.549
x[1] = -1.947
y[1] (analytic) = 0.20873301356827208097839007983829
y[1] (numeric) = 0.20873301356827207996599490729454
absolute error = 1.01239517254375e-18
relative error = 4.8501919041791503937500000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.946
y[1] (analytic) = 0.20890276746030220709951877158488
y[1] (numeric) = 0.20890276746030220606106936581289
absolute error = 1.03844940577199e-18
relative error = 4.9709700756804312828400000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.945
y[1] (analytic) = 0.2090727102618113014253532022099
y[1] (numeric) = 0.20907271026181130036056546937512
absolute error = 1.06478773283478e-18
relative error = 5.0929063458420736095000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.944
y[1] (analytic) = 0.20924284222085330905000401746257
y[1] (numeric) = 0.20924284222085330795859231891355
absolute error = 1.09141169854902e-18
relative error = 5.2160049393567692467200000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.943
y[1] (analytic) = 0.20941316358581510618608579364134
y[1] (numeric) = 0.20941316358581510506776293887627
absolute error = 1.11832285476507e-18
relative error = 5.3402700938940457524299999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.942
y[1] (analytic) = 0.20958367460541681582038176085497
y[1] (numeric) = 0.20958367460541681467485900046012
absolute error = 1.14552276039485e-18
relative error = 5.4657060601286130753999999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.941
y[1] (analytic) = 0.20975437552871212281705999457575
y[1] (numeric) = 0.20975437552871212164404701313568
absolute error = 1.17301298144007e-18
relative error = 5.5923171017688863636700000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.94
y[1] (analytic) = 0.20992526660508858846250734738433
y[1] (numeric) = 0.20992526660508858726171225636382
absolute error = 1.20079509102051e-18
relative error = 5.7201074955853014360000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.939
y[1] (analytic) = 0.2100963480842679644458152063955
y[1] (numeric) = 0.21009634808426796321694453699311
absolute error = 1.22887066940239e-18
relative error = 5.8490815314386131331900000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.938
y[1] (analytic) = 0.21026762021630650626891882912896
y[1] (numeric) = 0.21026762021630650501167752510209
absolute error = 1.25724130402687e-18
relative error = 5.9792435123083655282800000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.937
y[1] (analytic) = 0.21043908325159528608035953096495
y[1] (numeric) = 0.21043908325159528479445094142635
absolute error = 1.28590858953860e-18
relative error = 6.1105977543211515034000000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.936
y[1] (analytic) = 0.21061073744086050492660637021661
y[1] (numeric) = 0.21061073744086050361173224240223
absolute error = 1.31487412781438e-18
relative error = 6.2431485867789464204800000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.935
y[1] (analytic) = 0.21078258303516380441484120167151
y[1] (numeric) = 0.21078258303516380307070167367963
absolute error = 1.34413952799188e-18
relative error = 6.3769003521872768929999999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.934
y[1] (analytic) = 0.21095462028590257778107804561514
y[1] (numeric) = 0.21095462028590257640737163911664
absolute error = 1.37370640649850e-18
relative error = 6.5118574062836034660000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.933
y[1] (analytic) = 0.21112684944481028035745464625802
y[1] (numeric) = 0.21112684944481027895387825917772
absolute error = 1.40357638708030e-18
relative error = 6.6480241180655830667000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.932
y[1] (analytic) = 0.211299270763956739432500870553
y[1] (numeric) = 0.21129927076395673799874976972202
absolute error = 1.43375110083098e-18
relative error = 6.7854048698191158915199999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
memory used=15.2MB, alloc=4.3MB, time=2.60
x[1] = -1.931
y[1] (analytic) = 0.2114718844957484634981552250156
y[1] (numeric) = 0.21147188449574846203392303879459
absolute error = 1.46423218622101e-18
relative error = 6.9240040571466494686100000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.93
y[1] (analytic) = 0.21164469089292895087726724375119
y[1] (numeric) = 0.21164469089292894938224595462436
absolute error = 1.49502128912683e-18
relative error = 7.0638260889953590670000000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.929
y[1] (analytic) = 0.21181769020857899772528982485007
y[1] (numeric) = 0.21181769020857899619916976198996
absolute error = 1.52612006286011e-18
relative error = 7.2048753876851565745100000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.928
y[1] (analytic) = 0.21199088269611700539983176403549
y[1] (numeric) = 0.21199088269611700384230159583836
absolute error = 1.55753016819713e-18
relative error = 7.3471563889368104819200000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.927
y[1] (analytic) = 0.21216426860929928719170675333718
y[1] (numeric) = 0.21216426860929928560245347992891
absolute error = 1.58925327340827e-18
relative error = 7.4906735419001278308300000000002e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.926
y[1] (analytic) = 0.21233784820222037441108097801114
y[1] (numeric) = 0.21233784820222037278978992372358
absolute error = 1.62129105428756e-18
relative error = 7.6354313091819609185600000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.925
y[1] (analytic) = 0.21251162172931332182228715632886
y[1] (numeric) = 0.21251162172931332016864196214656
absolute error = 1.65364519418230e-18
relative error = 7.7814341668740854375000000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.924
y[1] (analytic) = 0.21268558944535001242083842360844
y[1] (numeric) = 0.21268558944535001073452103958561
absolute error = 1.68631738402283e-18
relative error = 7.9286866045813255460800000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.54
x[1] = -1.923
y[1] (analytic) = 0.21285975160544146154614086334638
y[1] (numeric) = 0.21285975160544145982683154099403
absolute error = 1.71930932235235e-18
relative error = 8.0771931254494532831500000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.922
y[1] (analytic) = 0.21303410846503812032336873392125
y[1] (numeric) = 0.21303410846503811857074601856442
absolute error = 1.75262271535683e-18
relative error = 8.2269582461930499937200000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.921
y[1] (analytic) = 0.21320866027993017842793152846517
y[1] (numeric) = 0.21320866027993017664167225157013
absolute error = 1.78625927689504e-18
relative error = 8.3779864971234693046399999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.92
y[1] (analytic) = 0.21338340730624786616592693752134
y[1] (numeric) = 0.21338340730624786434570620899271
absolute error = 1.82022072852863e-18
relative error = 8.5302824221765716319999999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.919
y[1] (analytic) = 0.21355834980046175586393855840853
y[1] (numeric) = 0.21355834980046175400942975885619
absolute error = 1.85450879955234e-18
relative error = 8.6838505789406047427400000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.918
y[1] (analytic) = 0.21373348801938306256150181117758
y[1] (numeric) = 0.21373348801938306067237658415329
absolute error = 1.88912522702429e-18
relative error = 8.8386955386839942059599999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.917
y[1] (analytic) = 0.21390882222016394399952597804996
y[1] (numeric) = 0.21390882222016394207545422225363
absolute error = 1.92407175579633e-18
relative error = 8.9948218863829493573700000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.916
y[1] (analytic) = 0.21408435266029779989792458065157
y[1] (numeric) = 0.21408435266029779793857444210703
absolute error = 1.95935013854454e-18
relative error = 9.1522342207493048342400000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.915
y[1] (analytic) = 0.21426007959761957051567044657157
y[1] (numeric) = 0.2142600795976195685207083107718
absolute error = 1.99496213579977e-18
relative error = 9.3109371542580815382500000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.914
y[1] (analytic) = 0.21443600329030603448645579316018
y[1] (numeric) = 0.2144360032903060324555462771819
absolute error = 2.03090951597828e-18
relative error = 9.4709353131750470388799999999999e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.913
y[1] (analytic) = 0.21461212399687610592310147140218
y[1] (numeric) = 0.21461212399687610385590741598969
absolute error = 2.06719405541249e-18
relative error = 9.6322333375843206168100000000001e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.912
y[1] (analytic) = 0.21478844197619113078382316553487
y[1] (numeric) = 0.21478844197619112868000562715304
absolute error = 2.10381753838183e-18
relative error = 9.7948358814159747315200000000002e-16 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.4MB, time=3.31
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.911
y[1] (analytic) = 0.21496495748745518249342583418764
y[1] (numeric) = 0.214964957487455180352644077044
absolute error = 2.14078175714364e-18
relative error = 9.9587476124733989324400000000000e-16 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.535
x[1] = -1.91
y[1] (analytic) = 0.21514167079021535681246100557217
y[1] (numeric) = 0.21514167079021535463437249360798
absolute error = 2.17808851196419e-18
relative error = 1.0123973212460751539000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.909
y[1] (analytic) = 0.21531858214436206594734470201092
y[1] (numeric) = 0.21531858214436206373160509086114
absolute error = 2.21573961114978e-18
relative error = 1.0290517377010311408180000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.908
y[1] (analytic) = 0.21549569181012933189439676721983
y[1] (numeric) = 0.21549569181012932964065989614184
absolute error = 2.25373687107799e-18
relative error = 1.0458384815710053787360000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.907
y[1] (analytic) = 0.21567300004809507901072520261939
y[1] (numeric) = 0.21567300004809507671864308639053
absolute error = 2.29208211622886e-18
relative error = 1.0627580252130427490140000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.906
y[1] (analytic) = 0.21585050711918142580484178589529
y[1] (numeric) = 0.2158505071191814234740646066789
absolute error = 2.33077717921639e-18
relative error = 1.0798108423852143382040000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.905
y[1] (analytic) = 0.21602821328465497593985774542155
y[1] (numeric) = 0.21602821328465497357003384460161
absolute error = 2.36982390081994e-18
relative error = 1.0969974082493022758500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.904
y[1] (analytic) = 0.21620611880612710844207059735156
y[1] (numeric) = 0.21620611880612710603284646733574
absolute error = 2.40922413001582e-18
relative error = 1.1143181993735250917120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.903
y[1] (analytic) = 0.21638422394555426710771541752742
y[1] (numeric) = 0.21638422394555426465873569351849
absolute error = 2.44897972400893e-18
relative error = 1.1317736937352385182370000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.902
y[1] (analytic) = 0.21656252896523824910061581720737
y[1] (numeric) = 0.21656252896523824661152326894284
absolute error = 2.48909254826453e-18
relative error = 1.1493643707236486786120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.901
y[1] (analytic) = 0.21674103412782649273343171931342
y[1] (numeric) = 0.21674103412782649020386724277339
absolute error = 2.52956447654003e-18
relative error = 1.1670907111424866954030000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9
y[1] (analytic) = 0.21691973969631236442516268980477
y[1] (numeric) = 0.21691973969631236185476529888777
absolute error = 2.57039739091700e-18
relative error = 1.1849531972127370000000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 3.531
x[1] = -1.899
y[1] (analytic) = 0.21709864593403544482752706623094
y[1] (numeric) = 0.21709864593403544221593388439782
absolute error = 2.61159318183312e-18
relative error = 1.2029523125752899177120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 3.53
x[1] = -1.898
y[1] (analytic) = 0.21727775310468181411279844185778
y[1] (numeric) = 0.21727775310468181145964469374347
absolute error = 2.65315374811431e-18
relative error = 1.2210885422936292801240000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 3.53
x[1] = -1.897
y[1] (analytic) = 0.21745706147228433641564220832865
y[1] (numeric) = 0.2174570614722843337205612113217
absolute error = 2.69508099700695e-18
relative error = 1.2393623728565133332550000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 3.53
x[1] = -1.896
y[1] (analytic) = 0.21763657130122294342145583196367
y[1] (numeric) = 0.2176365713012229406840789877535
absolute error = 2.73737684421017e-18
relative error = 1.2577742921806396478720000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 3.529
x[1] = -1.895
y[1] (analytic) = 0.21781628285622491709367733784939
y[1] (numeric) = 0.21781628285622491431363412394114
absolute error = 2.78004321390825e-18
relative error = 1.2763247896133123456250000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 3.529
x[1] = -1.894
y[1] (analytic) = 0.21799619640236517153248710116506
y[1] (numeric) = 0.21799619640236516870940506236201
absolute error = 2.82308203880305e-18
relative error = 1.2950143559350747869800000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 3.529
x[1] = -1.893
y[1] (analytic) = 0.21817631220506653395728849606486
y[1] (numeric) = 0.21817631220506653109079323591823
absolute error = 2.86649526014663e-18
relative error = 1.3138434833623811126870000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 3.529
memory used=22.8MB, alloc=4.4MB, time=4.02
x[1] = -1.892
y[1] (analytic) = 0.21835663053010002480531322821936
y[1] (numeric) = 0.21835663053010002189502840044546
absolute error = 2.91028482777390e-18
relative error = 1.3328126655502329969600000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 3.528
x[1] = -1.891
y[1] (analytic) = 0.2185371516435851369386572771451
y[1] (numeric) = 0.21853715164358513398420457700974
absolute error = 2.95445270013536e-18
relative error = 1.3519223975948091252160000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 3.528
x[1] = -1.89
y[1] (analytic) = 0.21871787581199011395201329804685
y[1] (numeric) = 0.2187178758119901109530124537169
absolute error = 2.99900084432995e-18
relative error = 1.3711731760360964395000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 3.528
x[1] = -1.889
y[1] (analytic) = 0.21889880330213222757332507938912
y[1] (numeric) = 0.21889880330213222452939384325114
absolute error = 3.04393123613798e-18
relative error = 1.3905654988605092931580000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 3.527
x[1] = -1.888
y[1] (analytic) = 0.21907993438117805414954922112702
y[1] (numeric) = 0.21907993438117805106030336107285
absolute error = 3.08924586005417e-18
relative error = 1.4100998655035101348480000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 3.527
x[1] = -1.887
y[1] (analytic) = 0.21926126931664375020966858878404
y[1] (numeric) = 0.21926126931664374707472187946329
absolute error = 3.13494670932075e-18
relative error = 1.4297767768522087656750000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 3.527
x[1] = -1.886
y[1] (analytic) = 0.21944280837639532709706130968735
y[1] (numeric) = 0.21944280837639532391602552372666
absolute error = 3.18103578596069e-18
relative error = 1.4495967352479720487240000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.153
Order of pole = 3.526
x[1] = -1.885
y[1] (analytic) = 0.2196245518286489246632881089777
y[1] (numeric) = 0.21962455182864892143577300816674
absolute error = 3.22751510081096e-18
relative error = 1.4695602444889983346000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.153
Order of pole = 3.526
x[1] = -1.884
y[1] (analytic) = 0.21980649994197108401531963381996
y[1] (numeric) = 0.21980649994197108074093296026397
absolute error = 3.27438667355599e-18
relative error = 1.4896678098329340041440000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.152
Order of pole = 3.526
x[1] = -1.883
y[1] (analytic) = 0.21998865298527901930818408386495
y[1] (numeric) = 0.2199886529852790159865315511039
absolute error = 3.32165253276105e-18
relative error = 1.5099199379994044613450000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.151
Order of pole = 3.526
x[1] = -1.882
y[1] (analytic) = 0.22017101122784088857497395376937
y[1] (numeric) = 0.22017101122784088520565923786344
absolute error = 3.36931471590593e-18
relative error = 1.5303171371726325209320000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.15
Order of pole = 3.525
x[1] = -1.881
y[1] (analytic) = 0.22035357493927606358610899877726
y[1] (numeric) = 0.22035357493927606016873372935872
absolute error = 3.41737526941854e-18
relative error = 1.5508599170039710904940000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.149
Order of pole = 3.525
x[1] = -1.88
y[1] (analytic) = 0.22053634438955539872971065631616
y[1] (numeric) = 0.22053634438955539526387440760751
absolute error = 3.46583624870865e-18
relative error = 1.5715487886144502560000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.148
Order of pole = 3.525
x[1] = -1.879
y[1] (analytic) = 0.22071931984900149890490109456918
y[1] (numeric) = 0.22071931984900149539020137636739
absolute error = 3.51469971820179e-18
relative error = 1.5923842645973476047390000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.147
Order of pole = 3.525
x[1] = -1.878
y[1] (analytic) = 0.22090250158828898641979781235835
y[1] (numeric) = 0.2209025015882889828558300609852
absolute error = 3.56396775137315e-18
relative error = 1.6133668590207090764600000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.146
Order of pole = 3.524
x[1] = -1.877
y[1] (analytic) = 0.22108588987844476688593228271845
y[1] (numeric) = 0.22108588987844476327228985193685
absolute error = 3.61364243078160e-18
relative error = 1.6344970874298747626400000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.145
Order of pole = 3.524
x[1] = -1.876
y[1] (analytic) = 0.22126948499084829410077851455599
y[1] (numeric) = 0.22126948499084829043705266645218
absolute error = 3.66372584810381e-18
relative error = 1.6557754668500004422560000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.144
Order of pole = 3.524
x[1] = -1.875
y[1] (analytic) = 0.22145328719723183391003460207612
y[1] (numeric) = 0.22145328719723183019581449790764
absolute error = 3.71422010416848e-18
relative error = 1.6772025157885792500000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.143
Order of pole = 3.524
x[1] = -1.874
y[1] (analytic) = 0.22163729676968072704125733951908
y[1] (numeric) = 0.22163729676968072327613003052847
absolute error = 3.76512730899061e-18
relative error = 1.6987787542379317484360000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.143
Order of pole = 3.523
x[1] = -1.873
y[1] (analytic) = 0.22182151398063365090040679847449
y[1] (numeric) = 0.2218215139806336470839572166686
absolute error = 3.81644958180589e-18
relative error = 1.7205047036777005079810000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.4MB, time=4.73
Complex estimate of poles used
Radius of convergence = 2.142
Order of pole = 3.523
x[1] = -1.872
y[1] (analytic) = 0.22200593910288288032281439593072
y[1] (numeric) = 0.22200593910288287645462534482556
absolute error = 3.86818905110516e-18
relative error = 1.7423808870773265021440000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.141
Order of pole = 3.523
x[1] = -1.871
y[1] (analytic) = 0.22219057240957454727004442256114
y[1] (numeric) = 0.22219057240957454334969656789212
absolute error = 3.92034785466902e-18
relative error = 1.7644078288985432841820000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.14
Order of pole = 3.523
x[1] = -1.87
y[1] (analytic) = 0.22237541417420889946407525184016
y[1] (numeric) = 0.2223754141742088954911471122377
absolute error = 3.97292813960246e-18
relative error = 1.7865860550978302374000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.139
Order of pole = 3.522
x[1] = -1.869
y[1] (analytic) = 0.22256046467064055795018251070905
y[1] (numeric) = 0.22256046467064055392425044833948
absolute error = 4.02593206236957e-18
relative error = 1.8089160931288519510770000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.138
Order of pole = 3.522
x[1] = -1.868
y[1] (analytic) = 0.22274572417307877357986236096212
y[1] (numeric) = 0.22274572417307876950050057213366
absolute error = 4.07936178882846e-18
relative error = 1.8313984719449420207040000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.137
Order of pole = 3.522
x[1] = -1.867
y[1] (analytic) = 0.22293119295608768240508871658289
y[1] (numeric) = 0.2229311929560876782718692223168
absolute error = 4.13321949426609e-18
relative error = 1.8540337220014962986010000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.136
Order of pole = 3.522
x[1] = -1.866
y[1] (analytic) = 0.22311687129458655997515370521263
y[1] (numeric) = 0.22311687129458655578764634177929
absolute error = 4.18750736343334e-18
relative error = 1.8768223752584238813040000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.135
Order of pole = 3.522
x[1] = -1.865
y[1] (analytic) = 0.22330275946385007452729597105996
y[1] (numeric) = 0.22330275946385007028506838047986
absolute error = 4.24222759058010e-18
relative error = 1.8997649651825568322500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.134
Order of pole = 3.521
x[1] = -1.864
y[1] (analytic) = 0.22348885773950853906227651114226
y[1] (numeric) = 0.22348885773950853476489413165181
absolute error = 4.29738237949045e-18
relative error = 1.9228620267500500563200000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 3.521
x[1] = -1.863
y[1] (analytic) = 0.22367516639754816229601663606418
y[1] (numeric) = 0.22367516639754815794304269254623
absolute error = 4.35297394351795e-18
relative error = 1.9461140964487801803550000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 3.521
x[1] = -1.862
y[1] (analytic) = 0.22386168571431129847836734986268
y[1] (numeric) = 0.22386168571431129406936284424169
absolute error = 4.40900450562099e-18
relative error = 1.9695217122807209653560000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.132
Order of pole = 3.521
x[1] = -1.861
y[1] (analytic) = 0.22404841596649669607003395005647
y[1] (numeric) = 0.22404841596649669160455765165817
absolute error = 4.46547629839830e-18
relative error = 1.9930854137643398754300000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.131
Order of pole = 3.521
x[1] = -1.86
y[1] (analytic) = 0.22423535743115974526863395820253
y[1] (numeric) = 0.2242353574311597407462423940781
absolute error = 4.52239156412443e-18
relative error = 2.0168057419369308028000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.13
Order of pole = 3.52
x[1] = -1.859
y[1] (analytic) = 0.22442251038571272437482060225576
y[1] (numeric) = 0.22442251038571271979506804747035
absolute error = 4.57975255478541e-18
relative error = 2.0406832393569767496210000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.129
Order of pole = 3.52
x[1] = -1.858
y[1] (analytic) = 0.22460987510792504498935798411739
y[1] (numeric) = 0.22460987510792504035179645200291
absolute error = 4.63756153211448e-18
relative error = 2.0647184501064931734720000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.128
Order of pole = 3.52
x[1] = -1.857
y[1] (analytic) = 0.22479745187592349603198777821214
y[1] (numeric) = 0.22479745187592349133616701058426
absolute error = 4.69582076762788e-18
relative error = 2.0889119197933475158120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.127
Order of pole = 3.52
x[1] = -1.856
y[1] (analytic) = 0.22498524096819248657288081901827
y[1] (numeric) = 0.22498524096819248181834827635751
absolute error = 4.75453254266076e-18
relative error = 2.1132641955535815759360000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.126
Order of pole = 3.52
x[1] = -1.855
y[1] (analytic) = 0.22517324266357428746742024645211
y[1] (numeric) = 0.22517324266357428265372109804893
absolute error = 4.81369914840318e-18
relative error = 2.1377758260537232459500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.125
Order of pole = 3.52
x[1] = -1.854
y[1] (analytic) = 0.22536145724126927178501598714178
y[1] (numeric) = 0.22536145724126926691169310120564
absolute error = 4.87332288593614e-18
relative error = 2.1624473614930609000240000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.124
Order of pole = 3.519
x[1] = -1.853
y[1] (analytic) = 0.22554988498083615402260325617347
y[1] (numeric) = 0.22554988498083614908919718990572
absolute error = 4.93340606626775e-18
relative error = 2.1872793536059292809750000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.4MB, time=5.44
Complex estimate of poles used
Radius of convergence = 2.124
Order of pole = 3.519
x[1] = -1.852
y[1] (analytic) = 0.22573852616219222809343046711622
y[1] (numeric) = 0.22573852616219222309947945674671
absolute error = 4.99395101036951e-18
relative error = 2.2122723556639933827040000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.123
Order of pole = 3.519
x[1] = -1.851
y[1] (analytic) = 0.2259273810656136040816944372838
y[1] (numeric) = 0.2259273810656135990267343880712
absolute error = 5.05496004921260e-18
relative error = 2.2374269224784859332600000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.122
Order of pole = 3.519
x[1] = -1.85
y[1] (analytic) = 0.22611644997173544375353306953081
y[1] (numeric) = 0.22611644997173543863709754572648
absolute error = 5.11643552380433e-18
relative error = 2.2627436104024649425000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.121
Order of pole = 3.519
x[1] = -1.849
y[1] (analytic) = 0.22630573316155219481483778065588
y[1] (numeric) = 0.22630573316155218963645799543129
absolute error = 5.17837978522459e-18
relative error = 2.2882229773330203516590000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.12
Order of pole = 3.519
x[1] = -1.848
y[1] (analytic) = 0.2264952309164178239062998289508
y[1] (numeric) = 0.22649523091641781866550463428827
absolute error = 5.24079519466253e-18
relative error = 2.3138655827135314853120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.119
Order of pole = 3.519
x[1] = -1.847
y[1] (analytic) = 0.22668494351804604832605636883816
y[1] (numeric) = 0.22668494351804604302237224538502
absolute error = 5.30368412345314e-18
relative error = 2.3396719875358292874260000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.118
Order of pole = 3.519
x[1] = -1.846
y[1] (analytic) = 0.22687487124851056647025352813112
y[1] (numeric) = 0.22687487124851056110320457501704
absolute error = 5.36704895311408e-18
relative error = 2.3656427543424180241280000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.117
Order of pole = 3.518
x[1] = -1.845
y[1] (analytic) = 0.22706501439024528698179506247126
y[1] (numeric) = 0.22706501439024528155090298708877
absolute error = 5.43089207538249e-18
relative error = 2.3917784472286370522250000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.116
Order of pole = 3.518
x[1] = -1.844
y[1] (analytic) = 0.22725537322604455659749619119994
y[1] (numeric) = 0.227255373226044551102280298948
absolute error = 5.49521589225194e-18
relative error = 2.4180796318448332651840000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.115
Order of pole = 3.518
x[1] = -1.843
y[1] (analytic) = 0.22744594803906338668381305853617
y[1] (numeric) = 0.22744594803906338112379024252674
absolute error = 5.56002281600943e-18
relative error = 2.4445468753985044400070000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.115
Order of pole = 3.518
x[1] = -1.842
y[1] (analytic) = 0.22763673911281767845126889271116
y[1] (numeric) = 0.22763673911281767282595362343866
absolute error = 5.62531526927250e-18
relative error = 2.4711807466564398690000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.114
Order of pole = 3.518
x[1] = -1.841
y[1] (analytic) = 0.22782774673118444683764835288513
y[1] (numeric) = 0.2278277467311844411465526678587
absolute error = 5.69109568502643e-18
relative error = 2.4979818159468493696830000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.113
Order of pole = 3.518
x[1] = -1.84
y[1] (analytic) = 0.22801897117840204304998175848231
y[1] (numeric) = 0.22801897117840203729261525182084
absolute error = 5.75736650666147e-18
relative error = 2.5249506551614542832000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.112
Order of pole = 3.518
x[1] = -1.839
y[1] (analytic) = 0.22821041273907037575529088726155
y[1] (numeric) = 0.22821041273907036993116069925132
absolute error = 5.82413018801023e-18
relative error = 2.5520878377575975051830000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.111
Order of pole = 3.518
x[1] = -1.838
y[1] (analytic) = 0.22840207169815113091001780622551
y[1] (numeric) = 0.22840207169815112501862861284042
absolute error = 5.89138919338509e-18
relative error = 2.5793939387603109981960000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.11
Order of pole = 3.518
x[1] = -1.837
y[1] (analytic) = 0.2285939483409679902180077625933
y[1] (numeric) = 0.22859394834096798425886176497754
absolute error = 5.95914599761576e-18
relative error = 2.6068695347643977607440000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.109
Order of pole = 3.518
x[1] = -1.836
y[1] (analytic) = 0.22878604295320684820686650974995
y[1] (numeric) = 0.22878604295320684217946342366314
absolute error = 6.02740308608681e-18
relative error = 2.6345152039364493481760000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.108
Order of pole = 3.518
x[1] = -1.835
y[1] (analytic) = 0.22897835582091602791246157456966
y[1] (numeric) = 0.22897835582091602181629861979424
absolute error = 6.09616295477542e-18
relative error = 2.6623315260169083609500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.107
Order of pole = 3.518
x[1] = -1.834
y[1] (analytic) = 0.22917088723050649516128588701509
y[1] (numeric) = 0.22917088723050648899585777672595
absolute error = 6.16542811028914e-18
relative error = 2.6903190823220838581840000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 3.517
memory used=34.3MB, alloc=4.4MB, time=6.17
x[1] = -1.833
y[1] (analytic) = 0.22936363746875207144035088966715
y[1] (numeric) = 0.22936363746875206520514981976346
absolute error = 6.23520106990369e-18
relative error = 2.7184784557461329090409999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 3.517
x[1] = -1.832
y[1] (analytic) = 0.22955660682278964534422472306291
y[1] (numeric) = 0.22955660682278963903874036146198
absolute error = 6.30548436160093e-18
relative error = 2.7468102307630649688320000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.105
Order of pole = 3.517
x[1] = -1.831
y[1] (analytic) = 0.22974979558011938258877934163358
y[1] (numeric) = 0.2297497955801193762124988175267
absolute error = 6.37628052410688e-18
relative error = 2.7753149934287165719680000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.104
Order of pole = 3.517
x[1] = -1.83
y[1] (analytic) = 0.2299432040286049345811584538619
y[1] (numeric) = 0.22994320402860492813356634693212
absolute error = 6.44759210692978e-18
relative error = 2.8039933313826920242000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.103
Order of pole = 3.517
x[1] = -1.829
y[1] (analytic) = 0.23013683245647364553542599823577
y[1] (numeric) = 0.2301368324564736390160043278375
absolute error = 6.51942167039827e-18
relative error = 2.8328458338503049133070000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.102
Order of pole = 3.517
x[1] = -1.828
y[1] (analytic) = 0.23033068115231675812330246287991
y[1] (numeric) = 0.23033068115231675153153067718023
absolute error = 6.59177178569968e-18
relative error = 2.8618730916445159493120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.101
Order of pole = 3.517
x[1] = -1.827
y[1] (analytic) = 0.23052475040508961764934373061431
y[1] (numeric) = 0.23052475040508961098469869569601
absolute error = 6.66464503491830e-18
relative error = 2.8910756971678106200700000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.1
Order of pole = 3.517
x[1] = -1.826
y[1] (analytic) = 0.23071904050411187473986428183161
y[1] (numeric) = 0.23071904050411186800182027075777
absolute error = 6.73804401107384e-18
relative error = 2.9204542444141078939840000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.099
Order of pole = 3.517
x[1] = -1.825
y[1] (analytic) = 0.23091355173906768653485351421562
y[1] (numeric) = 0.23091355173906767972288219605569
absolute error = 6.81197131815993e-18
relative error = 2.9500093289706346856249999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 3.517
x[1] = -1.824
y[1] (analytic) = 0.23110828440000591637208064015146
y[1] (numeric) = 0.23110828440000590948565106896884
absolute error = 6.88642957118262e-18
relative error = 2.9797415480197488357120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 3.517
x[1] = -1.823
y[1] (analytic) = 0.2313032387773403319525300989122
y[1] (numeric) = 0.23130323877734032499110870271308
absolute error = 6.96142139619912e-18
relative error = 3.0096515003408145270480000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.097
Order of pole = 3.517
x[1] = -1.822
y[1] (analytic) = 0.23149841516184980197625567055368
y[1] (numeric) = 0.2314984151618497949393062401972
absolute error = 7.03694943035648e-18
relative error = 3.0397397863120000952320000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.096
Order of pole = 3.517
x[1] = -1.821
y[1] (analytic) = 0.23169381384467849123768750111503
y[1] (numeric) = 0.23169381384467848412467117918466
absolute error = 7.11301632193037e-18
relative error = 3.0700070079120676065170000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.095
Order of pole = 3.517
x[1] = -1.82
y[1] (analytic) = 0.2318894351173360541693720434097
y[1] (numeric) = 0.2318894351173360469797473130457
absolute error = 7.18962473036400e-18
relative error = 3.1004537687221713600000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.094
Order of pole = 3.517
x[1] = -1.819
y[1] (analytic) = 0.23208527927169782682307048360306
y[1] (numeric) = 0.23208527927169781955629315729597
absolute error = 7.26677732630709e-18
relative error = 3.1310806739276263415490000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.093
Order of pole = 3.517
x[1] = -1.818
y[1] (analytic) = 0.23228134660000501727708656010837
y[1] (numeric) = 0.23228134660000500993260976845352
absolute error = 7.34447679165485e-18
relative error = 3.1618883303196294451400000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.092
Order of pole = 3.518
x[1] = -1.817
y[1] (analytic) = 0.23247763739486489445863978729226
y[1] (numeric) = 0.23247763739486488703591396770511
absolute error = 7.42272581958715e-18
relative error = 3.1928773462970110266350000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.091
Order of pole = 3.518
x[1] = -1.816
y[1] (analytic) = 0.23267415194925097537004497126009
y[1] (numeric) = 0.23267415194925096786851785665243
absolute error = 7.50152711460766e-18
relative error = 3.2240483318679219176960000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.091
Order of pole = 3.518
x[1] = -1.815
y[1] (analytic) = 0.23287089055650321070740354778802
y[1] (numeric) = 0.23287089055650320312652015520488
absolute error = 7.58088339258314e-18
relative error = 3.2554018986515334366500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.09
Order of pole = 3.518
x[1] = -1.814
y[1] (analytic) = 0.23306785351032816886045668247488
y[1] (numeric) = 0.23306785351032816119965930169211
absolute error = 7.66079738078277e-18
relative error = 3.2869386598797029830920000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=6.88
Complex estimate of poles used
Radius of convergence = 2.089
Order of pole = 3.518
x[1] = -1.813
y[1] (analytic) = 0.23326504110479921828219424959686
y[1] (numeric) = 0.2332650411047992105409224316793
absolute error = 7.74127181791756e-18
relative error = 3.3186592303986224275640000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.088
Order of pole = 3.518
x[1] = -1.812
y[1] (analytic) = 0.23346245363435670821675774815191
y[1] (numeric) = 0.23346245363435670039444829397209
absolute error = 7.82230945417982e-18
relative error = 3.3505642266704406918080000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.087
Order of pole = 3.518
x[1] = -1.811
y[1] (analytic) = 0.23366009139380814777411892036887
y[1] (numeric) = 0.23366009139380813987020586908614
absolute error = 7.90391305128273e-18
relative error = 3.3826542667748776518330000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.086
Order of pole = 3.518
x[1] = -1.81
y[1] (analytic) = 0.23385795467832838333995930871589
y[1] (numeric) = 0.2338579546783283753538739262159
absolute error = 7.98608538249999e-18
relative error = 3.4149299704108207238999999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.085
Order of pole = 3.518
x[1] = -1.809
y[1] (analytic) = 0.23405604378345977430911922136108
y[1] (numeric) = 0.23405604378345976624028998865562
absolute error = 8.06882923270546e-18
relative error = 3.4473919588978656446260000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.084
Order of pole = 3.518
x[1] = -1.808
y[1] (analytic) = 0.23425435900511236713092757230027
y[1] (numeric) = 0.23425435900511235897878017388725
absolute error = 8.15214739841302e-18
relative error = 3.4800408551778998209279999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 3.518
x[1] = -1.807
y[1] (analytic) = 0.23445290063956406765466682015517
y[1] (numeric) = 0.23445290063956405941862413233882
absolute error = 8.23604268781635e-18
relative error = 3.5128772838165999021149999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 3.518
x[1] = -1.806
y[1] (analytic) = 0.23465166898346081176336974814367
y[1] (numeric) = 0.23465166898346080344285182731481
absolute error = 8.32051792082886e-18
relative error = 3.5459018710049419614960000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.082
Order of pole = 3.518
x[1] = -1.805
y[1] (analytic) = 0.2348506643338167342840871061114
y[1] (numeric) = 0.23485066433381672587851117698769
absolute error = 8.40557592912371e-18
relative error = 3.5791152445606985272750000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.081
Order of pole = 3.519
x[1] = -1.804
y[1] (analytic) = 0.23504988698801433616270717297039
y[1] (numeric) = 0.23504988698801432767148761679657
absolute error = 8.49121955617382e-18
relative error = 3.6125180339298798589120000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.08
Order of pole = 3.519
x[1] = -1.803
y[1] (analytic) = 0.23524933724380464989135009359395
y[1] (numeric) = 0.23524933724380464131389843630192
absolute error = 8.57745165729203e-18
relative error = 3.6461108701881876752270000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.079
Order of pole = 3.519
x[1] = -1.802
y[1] (analytic) = 0.23544901539930740317630139734282
y[1] (numeric) = 0.23544901539930739451202629767155
absolute error = 8.66427509967127e-18
relative error = 3.6798943860424216629079999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.078
Order of pole = 3.519
x[1] = -1.801
y[1] (analytic) = 0.2356489217530111808343904151215
y[1] (numeric) = 0.23564892175301117208269765269666
absolute error = 8.75169276242484e-18
relative error = 3.7138692158318813448840000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.077
Order of pole = 3.519
x[1] = -1.8
y[1] (analytic) = 0.23584905660377358490566037735849
y[1] (numeric) = 0.23584905660377357606595284073176
absolute error = 8.83970753662673e-18
relative error = 3.7480359955297335200000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 3.519
x[1] = -1.799
y[1] (analytic) = 0.23604942025082139297011779574219
y[1] (numeric) = 0.23604942025082138404179547039015
absolute error = 8.92832232535204e-18
relative error = 3.7823953627443707608040000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 3.519
x[1] = -1.798
y[1] (analytic) = 0.23625001299375071465628930609591
y[1] (numeric) = 0.23625001299375070563874926237851
absolute error = 9.01754004371740e-18
relative error = 3.8169479567207185589600000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.075
Order of pole = 3.52
x[1] = -1.797
y[1] (analytic) = 0.23645083513252714632925447761035
y[1] (numeric) = 0.23645083513252713722189085868881
absolute error = 9.10736361892154e-18
relative error = 3.8516944183415547261860000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.074
Order of pole = 3.52
x[1] = -1.796
y[1] (analytic) = 0.23665188696748592394576317393724
y[1] (numeric) = 0.23665188696748591474796718365138
absolute error = 9.19779599028586e-18
relative error = 3.8866353901287774589760000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.073
Order of pole = 3.52
x[1] = -1.795
y[1] (analytic) = 0.23685316879933207406398588355114
y[1] (numeric) = 0.23685316879933206477514577425602
absolute error = 9.28884010929512e-18
relative error = 3.9217715162446729018000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.072
Order of pole = 3.52
x[1] = -1.794
y[1] (analytic) = 0.23705468092914056299538501947167
y[1] (numeric) = 0.23705468092914055361488607983355
absolute error = 9.38049893963812e-18
relative error = 3.9571034424931272380320000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.4MB, time=7.58
Complex estimate of poles used
Radius of convergence = 2.071
Order of pole = 3.52
x[1] = -1.793
y[1] (analytic) = 0.23725642365835644408613452107062
y[1] (numeric) = 0.2372564236583564346133590638221
absolute error = 9.47277545724852e-18
relative error = 3.9926318163208467273480000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.07
Order of pole = 3.52
x[1] = -1.792
y[1] (analytic) = 0.23745839728879500311545417242899
y[1] (numeric) = 0.23745839728879499354978152208329
absolute error = 9.56567265034570e-18
relative error = 4.0283572868185433964800000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.07
Order of pole = 3.521
x[1] = -1.791
y[1] (analytic) = 0.23766060212264190179816388172012
y[1] (numeric) = 0.23766060212264189213897036224451
absolute error = 9.65919351947561e-18
relative error = 4.0642805047220654160410000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.069
Order of pole = 3.521
x[1] = -1.79
y[1] (analytic) = 0.23786303846245331937870174353607
y[1] (numeric) = 0.23786303846245330962536066598425
absolute error = 9.75334107755182e-18
relative error = 4.1004021224135606462000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.068
Order of pole = 3.521
x[1] = -1.789
y[1] (analytic) = 0.23806570661115609230378803010388
y[1] (numeric) = 0.23806570661115608245566968020738
absolute error = 9.84811834989650e-18
relative error = 4.1367227939225596076500000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.067
Order of pole = 3.521
x[1] = -1.788
y[1] (analytic) = 0.2382686068720478519608553271142
y[1] (numeric) = 0.23826860687204784201732695283264
absolute error = 9.94352837428156e-18
relative error = 4.1732431749270747552640000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.066
Order of pole = 3.521
x[1] = -1.787
y[1] (analytic) = 0.23847173954879716046930284456245
y[1] (numeric) = 0.23847173954879715042972864359269
absolute error = 1.003957420096976e-17
relative error = 4.2099639227546361521440000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.065
Order of pole = 3.522
x[1] = -1.786
y[1] (analytic) = 0.23867510494544364451157049173755
y[1] (numeric) = 0.23867510494544363437531159898161
absolute error = 1.013625889275594e-17
relative error = 4.2468856963833266388239999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.064
Order of pole = 3.522
x[1] = -1.785
y[1] (analytic) = 0.23887870336639812719096560743868
y[1] (numeric) = 0.23887870336639811695738008243039
absolute error = 1.023358552500829e-17
relative error = 4.2840091564427828805250000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 3.522
x[1] = -1.784
y[1] (analytic) = 0.23908253511644275790311228080913
y[1] (numeric) = 0.23908253511644274757155509509941
absolute error = 1.033155718570972e-17
relative error = 4.3213349652151874616320000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 3.522
x[1] = -1.783
y[1] (analytic) = 0.2392866005007311402078299839989
y[1] (numeric) = 0.23928660050073112977765300849974
absolute error = 1.043017697549916e-17
relative error = 4.3588637866361809065240000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.062
Order of pole = 3.523
x[1] = -1.782
y[1] (analytic) = 0.23949089982478845768818476435532
y[1] (numeric) = 0.23949089982478844715873675664224
absolute error = 1.052944800771308e-17
relative error = 4.3965962862958150653920000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.061
Order of pole = 3.523
x[1] = -1.781
y[1] (analytic) = 0.23969543339451159778339251014091
y[1] (numeric) = 0.23969543339451158715401910171398
absolute error = 1.062937340842693e-17
relative error = 4.4345331314394223309730000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.06
Order of pole = 3.523
x[1] = -1.78
y[1] (analytic) = 0.23990020151616927358218980903944
y[1] (numeric) = 0.2399002015161692628522334925427
absolute error = 1.072995631649674e-17
relative error = 4.4726749909685011016000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.059
Order of pole = 3.523
x[1] = -1.779
y[1] (analytic) = 0.24010520449640214356322366207978
y[1] (numeric) = 0.24010520449640213273202377847909
absolute error = 1.083119988360069e-17
relative error = 4.5110225354415381340289999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.058
Order of pole = 3.524
x[1] = -1.778
y[1] (analytic) = 0.24031044264222292926894679622924
y[1] (numeric) = 0.24031044264222291833583952194847
absolute error = 1.093310727428077e-17
relative error = 4.5495764370748179708680000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.057
Order of pole = 3.524
x[1] = -1.777
y[1] (analytic) = 0.24051591626101653089944053592719
y[1] (numeric) = 0.24051591626101651986375886994267
absolute error = 1.103568166598452e-17
relative error = 4.5883373697432152355079999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.057
Order of pole = 3.524
x[1] = -1.776
y[1] (analytic) = 0.24072162566054014081252214638956
y[1] (numeric) = 0.24072162566054012967359589728283
absolute error = 1.113892624910673e-17
relative error = 4.6273060089809199204480000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.056
Order of pole = 3.524
x[1] = -1.775
y[1] (analytic) = 0.24092757114892335491642824875772
y[1] (numeric) = 0.24092757114892334367358402172637
absolute error = 1.124284422703135e-17
relative error = 4.6664830319821997093749999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.055
Order of pole = 3.525
memory used=45.7MB, alloc=4.4MB, time=8.30
x[1] = -1.774
y[1] (analytic) = 0.24113375303466828194130032823126
y[1] (numeric) = 0.24113375303466827059386151205803
absolute error = 1.134743881617323e-17
relative error = 4.7058691176020413975480000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.054
Order of pole = 3.525
x[1] = -1.773
y[1] (analytic) = 0.2413401716266496505756325103553
y[1] (numeric) = 0.24134017162664963912291926433514
absolute error = 1.145271324602016e-17
relative error = 4.7454649463568667544640000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.053
Order of pole = 3.525
x[1] = -1.772
y[1] (analytic) = 0.24154682723411491445377566676586
y[1] (numeric) = 0.24154682723411490289510490759115
absolute error = 1.155867075917471e-17
relative error = 4.7852712004251152604640000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.052
Order of pole = 3.526
x[1] = -1.771
y[1] (analytic) = 0.24175372016668435498052552907197
y[1] (numeric) = 0.24175372016668434331521091767567
absolute error = 1.166531461139630e-17
relative error = 4.8252885636478722568300000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.051
Order of pole = 3.526
x[1] = -1.77
y[1] (analytic) = 0.24196085073435118197875583730552
y[1] (numeric) = 0.24196085073435117020610776566227
absolute error = 1.177264807164325e-17
relative error = 4.8655177215294387925000000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.05
Order of pole = 3.526
x[1] = -1.769
y[1] (analytic) = 0.24216821924748163214599062663691
y[1] (numeric) = 0.24216821924748162026531620452203
absolute error = 1.188067442211488e-17
relative error = 4.9059593612378722991679999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.05
Order of pole = 3.527
x[1] = -1.768
y[1] (analytic) = 0.24237582601681506530574256197065
y[1] (numeric) = 0.24237582601681505331634560367704
absolute error = 1.198939695829361e-17
relative error = 4.9466141716054775184640000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.049
Order of pole = 3.527
x[1] = -1.767
y[1] (analytic) = 0.24258367135346405843937676373491
y[1] (numeric) = 0.2425836713534640463405577747477
absolute error = 1.209881898898721e-17
relative error = 4.9874828431293096923689999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.048
Order of pole = 3.527
x[1] = -1.766
y[1] (analytic) = 0.24279175556891449748419182879491
y[1] (numeric) = 0.24279175556891448527524799242394
absolute error = 1.220894383637097e-17
relative error = 5.0285660679715950913320000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.047
Order of pole = 3.528
x[1] = -1.765
y[1] (analytic) = 0.24300007897502566688334173708606
y[1] (numeric) = 0.24300007897502565456356690105604
absolute error = 1.231977483603002e-17
relative error = 5.0698645399601639054500000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.046
Order of pole = 3.528
x[1] = -1.764
y[1] (analytic) = 0.2432086418840303368731540464081
y[1] (numeric) = 0.24320864188403032444183870940647
absolute error = 1.243131533700163e-17
relative error = 5.1113789545888254064480000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.045
Order of pole = 3.528
x[1] = -1.763
y[1] (analytic) = 0.24341744460853484849333121397878
y[1] (numeric) = 0.24341744460853483594976251216126
absolute error = 1.254356870181752e-17
relative error = 5.1531100090176979320880000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 3.529
x[1] = -1.762
y[1] (analytic) = 0.24362648746151919630545304294355
y[1] (numeric) = 0.24362648746151918364891473639724
absolute error = 1.265653830654631e-17
relative error = 5.1950584020735472063640000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 3.529
x[1] = -1.761
y[1] (analytic) = 0.24383577075633710880512913420501
y[1] (numeric) = 0.24383577075633709603490159336909
absolute error = 1.277022754083592e-17
relative error = 5.2372248342500549066320000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.043
Order of pole = 3.529
x[1] = -1.76
y[1] (analytic) = 0.24404529480671612651308082780164
y[1] (numeric) = 0.2440452948067161136284410198456
absolute error = 1.288463980795604e-17
relative error = 5.2796100077080669504000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.042
Order of pole = 3.53
x[1] = -1.759
y[1] (analytic) = 0.24425505992675767773036244275577
y[1] (numeric) = 0.24425505992675766473058391791514
absolute error = 1.299977852484063e-17
relative error = 5.3222146262758051311030000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.041
Order of pole = 3.53
x[1] = -1.758
y[1] (analytic) = 0.24446506643093715194286166895323
y[1] (numeric) = 0.24446506643093713882721454682274
absolute error = 1.311564712213049e-17
relative error = 5.3650393954490585696360000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.04
Order of pole = 3.53
x[1] = -1.757
y[1] (analytic) = 0.24467531463410397086014872833675
y[1] (numeric) = 0.24467531463410395762789968412097
absolute error = 1.323224904421578e-17
relative error = 5.4080850223913059433220000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.039
Order of pole = 3.531
x[1] = -1.756
y[1] (analytic) = 0.24488580485148165707367340461796
y[1] (numeric) = 0.24488580485148164372408565533928
absolute error = 1.334958774927868e-17
relative error = 5.4513522159338463812480000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.038
Order of pole = 3.531
x[1] = -1.755
y[1] (analytic) = 0.24509653739866790031923823996176
y[1] (numeric) = 0.2450965373986678868515715306258
absolute error = 1.346766670933596e-17
relative error = 5.4948416865758450199000000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=9.01
Complex estimate of poles used
Radius of convergence = 2.038
Order of pole = 3.532
x[1] = -1.754
y[1] (analytic) = 0.2453075125916346213286051127973
y[1] (numeric) = 0.24530751259163460774211570251557
absolute error = 1.358648941028173e-17
relative error = 5.5385541464844036852680000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.037
Order of pole = 3.532
x[1] = -1.753
y[1] (analytic) = 0.24551873074672803325502104218282
y[1] (numeric) = 0.24551873074672801954896169025273
absolute error = 1.370605935193009e-17
relative error = 5.5824903094945423940810000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.036
Order of pole = 3.532
x[1] = -1.752
y[1] (analytic) = 0.24573019218066870065737741012172
y[1] (numeric) = 0.24573019218066868683099736206387
absolute error = 1.382638004805785e-17
relative error = 5.6266508911091612806400000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.035
Order of pole = 3.533
x[1] = -1.751
y[1] (analytic) = 0.24594189721055159602764485301405
y[1] (numeric) = 0.24594189721055158208018982656672
absolute error = 1.394745502644733e-17
relative error = 5.6710366084989870227330000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.034
Order of pole = 3.533
x[1] = -1.75
y[1] (analytic) = 0.24615384615384615384615384615385
y[1] (numeric) = 0.24615384615384613977686601722473
absolute error = 1.406928782892912e-17
relative error = 5.7156481805024549999999999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.033
Order of pole = 3.534
x[1] = -1.749
y[1] (analytic) = 0.24636603932839632214921848996834
y[1] (numeric) = 0.2463660393283963079573364785435
absolute error = 1.419188201142484e-17
relative error = 5.7604863276255436984840000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.033
Order of pole = 3.534
x[1] = -1.748
y[1] (analytic) = 0.24657847705242061159352820265989
y[1] (numeric) = 0.2465784770524205972782870586698
absolute error = 1.431524114399009e-17
relative error = 5.8055517720416385955360000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.032
Order of pole = 3.534
x[1] = -1.747
y[1] (analytic) = 0.24679115964451214200165893017513
y[1] (numeric) = 0.24679115964451212756229011931795
absolute error = 1.443936881085718e-17
relative error = 5.8508452375912591074620000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.031
Order of pole = 3.535
x[1] = -1.746
y[1] (analytic) = 0.24700408742363868637298210010779
y[1] (numeric) = 0.2470040874236386718087134896297
absolute error = 1.456426861047809e-17
relative error = 5.8963674497818315014440000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.03
Order of pole = 3.535
x[1] = -1.745
y[1] (analytic) = 0.24721726070914271234417587035927
y[1] (numeric) = 0.24721726070914269765423171479193
absolute error = 1.468994415556734e-17
relative error = 5.9421191357873779483500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.029
Order of pole = 3.536
x[1] = -1.744
y[1] (analytic) = 0.24743067982074142108346925525345
y[1] (numeric) = 0.24743067982074140626707018210854
absolute error = 1.481639907314491e-17
relative error = 5.9881010244481786981760000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.028
Order of pole = 3.536
x[1] = -1.743
y[1] (analytic) = 0.24764434507852678360267545044649
y[1] (numeric) = 0.24764434507852676865903844586729
absolute error = 1.494363700457920e-17
relative error = 6.0343138462704033980800000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 3.537
x[1] = -1.742
y[1] (analytic) = 0.24785825680296557447099612250543
y[1] (numeric) = 0.24785825680296555939933451687548
absolute error = 1.507166160562995e-17
relative error = 6.0807583334256793591800000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 3.537
x[1] = -1.741
y[1] (analytic) = 0.24807241531489940291450357856863
y[1] (numeric) = 0.24807241531489938771402703207738
absolute error = 1.520047654649125e-17
relative error = 6.1274352197506494541249999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.026
Order of pole = 3.537
x[1] = -1.74
y[1] (analytic) = 0.24828682093554474128513258516238
y[1] (numeric) = 0.2482868209355447259550470733279
absolute error = 1.533008551183448e-17
relative error = 6.1743452407464551648000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.025
Order of pole = 3.538
x[1] = -1.739
y[1] (analytic) = 0.24850147398649295088293816214771
y[1] (numeric) = 0.24850147398649293542244596129633
absolute error = 1.546049220085138e-17
relative error = 6.2214891335782256136980000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.024
Order of pole = 3.538
x[1] = -1.738
y[1] (analytic) = 0.24871637478971030511529993702501
y[1] (numeric) = 0.24871637478971028952359960972802
absolute error = 1.559170032729699e-17
relative error = 6.2688676370744679061560000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.023
Order of pole = 3.539
x[1] = -1.737
y[1] (analytic) = 0.24893152366753800997667760554759
y[1] (numeric) = 0.24893152366753799425296398601485
absolute error = 1.572371361953274e-17
relative error = 6.3164814917264717613060000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 3.539
x[1] = -1.736
y[1] (analytic) = 0.24914692094269222183244570590299
y[1] (numeric) = 0.24914692094269220597590988533358
absolute error = 1.585653582056941e-17
relative error = 6.3643314396876158639360000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 3.54
x[1] = -1.735
y[1] (analytic) = 0.24936256693826406249025927472897
y[1] (numeric) = 0.24936256693826404650008858661873
absolute error = 1.599017068811024e-17
relative error = 6.4124182247726887204000000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.5MB, time=9.72
Complex estimate of poles used
Radius of convergence = 2.021
Order of pole = 3.54
x[1] = -1.734
y[1] (analytic) = 0.24957846197771963154232501305295
y[1] (numeric) = 0.24957846197771961541770301845897
absolute error = 1.612462199459398e-17
relative error = 6.4607425924571396928880000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.02
Order of pole = 3.541
x[1] = -1.733
y[1] (analytic) = 0.24979460638490001596187534799511
y[1] (numeric) = 0.24979460638489999970198182075722
absolute error = 1.625989352723789e-17
relative error = 6.5093052898762645420210000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.019
Order of pole = 3.541
x[1] = -1.732
y[1] (analytic) = 0.25001100048402129693706523087016
y[1] (numeric) = 0.25001100048402128054107614278933
absolute error = 1.639598908808083e-17
relative error = 6.5581070658243817773920000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.018
Order of pole = 3.542
x[1] = -1.731
y[1] (analytic) = 0.25022764459967455392543366327516
y[1] (numeric) = 0.25022764459967453739252116924882
absolute error = 1.653291249402634e-17
relative error = 6.6071486707539598148740000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.017
Order of pole = 3.542
x[1] = -1.73
y[1] (analytic) = 0.25044453905682586591199378897543
y[1] (numeric) = 0.25044453905682584924132621208972
absolute error = 1.667066757688571e-17
relative error = 6.6564308567746951459000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.016
Order of pole = 3.543
x[1] = -1.729
y[1] (analytic) = 0.250661684180816309853936930011
y[1] (numeric) = 0.25066168418081629304467874658999
absolute error = 1.680925818342101e-17
relative error = 6.7059543776525297555409999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.016
Order of pole = 3.543
x[1] = -1.728
y[1] (analytic) = 0.25087908029736195629485717955717
y[1] (numeric) = 0.25087908029736193934616900416901
absolute error = 1.694868817538816e-17
relative error = 6.7557199888086399549440000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.015
Order of pole = 3.544
x[1] = -1.727
y[1] (analytic) = 0.25109672773255386213132409079758
y[1] (numeric) = 0.25109672773255384504236266121755
absolute error = 1.708896142958003e-17
relative error = 6.8057284473183927295870000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.014
Order of pole = 3.544
x[1] = -1.726
y[1] (analytic) = 0.25131462681285806051455161952172
y[1] (numeric) = 0.25131462681285804328446978165224
absolute error = 1.723008183786948e-17
relative error = 6.8559805119102339000479999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.013
Order of pole = 3.545
x[1] = -1.725
y[1] (analytic) = 0.2515327778651155478698317874548
y[1] (numeric) = 0.25153277786511553049777848020242
absolute error = 1.737205330725238e-17
relative error = 6.9064769429645243237500000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.012
Order of pole = 3.545
x[1] = -1.724
y[1] (analytic) = 0.25175118121654226801632153258063
y[1] (numeric) = 0.25175118121654225050144177268991
absolute error = 1.751487975989072e-17
relative error = 6.9572185025123680606720000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 3.546
x[1] = -1.723
y[1] (analytic) = 0.25196983719472909336969090104162
y[1] (numeric) = 0.25196983719472907571112576788603
absolute error = 1.765856513315559e-17
relative error = 7.0082059542343451545109999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 3.546
x[1] = -1.722
y[1] (analytic) = 0.25218874612764180321006011170953
y[1] (numeric) = 0.2521887461276417854069467320393
absolute error = 1.780311337967023e-17
relative error = 7.0594400634592288295319999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.01
Order of pole = 3.547
x[1] = -1.721
y[1] (analytic) = 0.25240790834362105899757208832964
y[1] (numeric) = 0.2524079083436210410490436209766
absolute error = 1.794852846735304e-17
relative error = 7.1109215971626435346640000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.009
Order of pole = 3.547
x[1] = -1.72
y[1] (analytic) = 0.2526273241713823767178658043654
y[1] (numeric) = 0.25262732417138235862305142490477
absolute error = 1.809481437946063e-17
relative error = 7.1626513239656957792000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.008
Order of pole = 3.548
x[1] = -1.719
y[1] (analytic) = 0.25284699394001609623963422142469
y[1] (numeric) = 0.25284699394001607799765910679397
absolute error = 1.824197511463072e-17
relative error = 7.2146300141335027001919999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.007
Order of pole = 3.548
x[1] = -1.718
y[1] (analytic) = 0.25306691797898734766636872254857
y[1] (numeric) = 0.25306691797898732927635403562339
absolute error = 1.839001468692518e-17
relative error = 7.2668584395737334974319999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 3.549
x[1] = -1.717
y[1] (analytic) = 0.2532870966181360146643097458036
y[1] (numeric) = 0.25328709661813599612537261993064
absolute error = 1.853893712587296e-17
relative error = 7.3193373738350648773440000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 3.549
x[1] = -1.716
y[1] (analytic) = 0.25350753018767669474854081065624
y[1] (numeric) = 0.25350753018767667605979433414318
absolute error = 1.868874647651306e-17
relative error = 7.3720675921056101207360000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.005
Order of pole = 3.55
x[1] = -1.715
y[1] (analytic) = 0.25372821901819865650908029863811
y[1] (numeric) = 0.25372821901819863766963349920074
absolute error = 1.883944679943737e-17
relative error = 7.4250498712112548578250000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.5MB, time=10.45
Complex estimate of poles used
Radius of convergence = 2.004
Order of pole = 3.55
x[1] = -1.714
y[1] (analytic) = 0.25394916344066579375874219995144
y[1] (numeric) = 0.25394916344066577476770002911781
absolute error = 1.899104217083363e-17
relative error = 7.4782849896139984879480000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.003
Order of pole = 3.551
x[1] = -1.713
y[1] (analytic) = 0.25417036378641657658445356803086
y[1] (numeric) = 0.25417036378641655744091688550259
absolute error = 1.914353668252827e-17
relative error = 7.5317737274102067111630000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.002
Order of pole = 3.552
x[1] = -1.712
y[1] (analytic) = 0.25439182038716399928363263378975
y[1] (numeric) = 0.2543918203871639799866981917605
absolute error = 1.929693444202925e-17
relative error = 7.5855168663288228111999999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.001
Order of pole = 3.552
x[1] = -1.711
y[1] (analytic) = 0.25461353357499552516714741945365
y[1] (numeric) = 0.25461353357499550571590784688478
absolute error = 1.945123957256887e-17
relative error = 7.6395151897295260871269999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 3.553
x[1] = -1.71
y[1] (analytic) = 0.25483550368237302821029025763869
y[1] (numeric) = 0.25483550368237300860383404449213
absolute error = 1.960645621314656e-17
relative error = 7.6937694826008416096000000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 3.553
x[1] = -1.709
y[1] (analytic) = 0.25505773104213273153311886378922
y[1] (numeric) = 0.25505773104213271177053034521757
absolute error = 1.976258851857165e-17
relative error = 7.7482805315582015293650000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.999
Order of pole = 3.554
x[1] = -1.708
y[1] (analytic) = 0.2552802159874851426914295283647
y[1] (numeric) = 0.25528021598748512277178886885865
absolute error = 1.991964065950605e-17
relative error = 7.8030491248419307447199999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.998
Order of pole = 3.554
x[1] = -1.707
y[1] (analytic) = 0.25550295885201498575954258838294
y[1] (numeric) = 0.25550295885201496568192576587601
absolute error = 2.007761682250693e-17
relative error = 7.8580760523151925473570000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.997
Order of pole = 3.555
x[1] = -1.706
y[1] (analytic) = 0.25572595996968113018599460520515
y[1] (numeric) = 0.2557259599696811099494733951357
absolute error = 2.023652121006945e-17
relative error = 7.9133621054619139780200000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.996
Order of pole = 3.555
x[1] = -1.705
y[1] (analytic) = 0.2559492196748165164031456159098
y[1] (numeric) = 0.25594921967481649600678757524056
absolute error = 2.039635804066924e-17
relative error = 7.9689080773845737411000000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.995
Order of pole = 3.556
x[1] = -1.704
y[1] (analytic) = 0.25617273830212807817162343837099
y[1] (numeric) = 0.2561727383021280576144918895659
absolute error = 2.055713154880509e-17
relative error = 8.0247147628020330205439999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.995
Order of pole = 3.557
x[1] = -1.703
y[1] (analytic) = 0.25639651618669666164044029435346
y[1] (numeric) = 0.25639651618669664092159430931207
absolute error = 2.071884598504139e-17
relative error = 8.0807829580472294650509999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.994
Order of pole = 3.557
x[1] = -1.702
y[1] (analytic) = 0.25662055366397694110352996968798
y[1] (numeric) = 0.25662055366397692022202435363733
absolute error = 2.088150561605065e-17
relative error = 8.1371134610648637122600000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.993
Order of pole = 3.558
x[1] = -1.701
y[1] (analytic) = 0.25684485106979733143336635501969
y[1] (numeric) = 0.25684485106979731038825163036375
absolute error = 2.104511472465594e-17
relative error = 8.1937070714090161451939999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.992
Order of pole = 3.558
x[1] = -1.7
y[1] (analytic) = 0.25706940874035989717223650385604
y[1] (numeric) = 0.25706940874035987596255889398279
absolute error = 2.120967760987325e-17
relative error = 8.2505645902406942500000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.991
Order of pole = 3.559
x[1] = -1.699
y[1] (analytic) = 0.25729422701224025826165330580628
y[1] (numeric) = 0.25729422701224023688645471885243
absolute error = 2.137519858695385e-17
relative error = 8.3076868203253420363850000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.99
Order of pole = 3.559
x[1] = -1.698
y[1] (analytic) = 0.25751930622238749239030450112845
y[1] (numeric) = 0.25751930622238747084862251370188
absolute error = 2.154168198742657e-17
relative error = 8.3650745660302806330280000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.99
Order of pole = 3.56
x[1] = -1.697
y[1] (analytic) = 0.25774464670812403394084605711261
y[1] (numeric) = 0.25774464670812401223171389797258
absolute error = 2.170913215914003e-17
relative error = 8.4227286333220920654269999999998e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.989
Order of pole = 3.561
x[1] = -1.696
y[1] (analytic) = 0.25797024880714556951575888655913
y[1] (numeric) = 0.25797024880714554763820542025432
absolute error = 2.187755346630481e-17
relative error = 8.4806498297639426360960000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.988
Order of pole = 3.561
memory used=61.0MB, alloc=4.5MB, time=11.16
x[1] = -1.695
y[1] (analytic) = 0.25819611285752093002239851279039
y[1] (numeric) = 0.25819611285752090797544822325481
absolute error = 2.204695028953558e-17
relative error = 8.5388389645128539729500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.987
Order of pole = 3.562
x[1] = -1.694
y[1] (analytic) = 0.2584222391976919792972775733945
y[1] (numeric) = 0.25842223919769195707995054750135
absolute error = 2.221732702589315e-17
relative error = 8.5972968483169065393400000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.986
Order of pole = 3.562
x[1] = -1.693
y[1] (analytic) = 0.25864862816647349924953100537498
y[1] (numeric) = 0.2586486281664734768608429164485
absolute error = 2.238868808892648e-17
relative error = 8.6560242935123914373519999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 3.563
x[1] = -1.692
y[1] (analytic) = 0.25887528010305307150342336670408
y[1] (numeric) = 0.25887528010305304894238545798951
absolute error = 2.256103790871457e-17
relative error = 8.7150221140208798728480000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 3.563
x[1] = -1.691
y[1] (analytic) = 0.25910219534699095551966702258672
y[1] (numeric) = 0.25910219534699093278528609067833
absolute error = 2.273438093190839e-17
relative error = 8.7742911253462724945589999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.984
Order of pole = 3.564
x[1] = -1.69
y[1] (analytic) = 0.25932937423821996317522885817277
y[1] (numeric) = 0.25932937423821994026650723640017
absolute error = 2.290872162177260e-17
relative error = 8.8338321445717322859999999999998e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.983
Order of pole = 3.565
x[1] = -1.689
y[1] (analytic) = 0.25955681711704532978121177214753
y[1] (numeric) = 0.25955681711704530669714731392019
absolute error = 2.308406445822734e-17
relative error = 8.8936459903566095592140000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.982
Order of pole = 3.565
x[1] = -1.688
y[1] (analytic) = 0.25978452432414458151830545672198
y[1] (numeric) = 0.25978452432414455825789151883211
absolute error = 2.326041393788987e-17
relative error = 8.9537334829332743745279999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.981
Order of pole = 3.566
x[1] = -1.687
y[1] (analytic) = 0.26001249620056739926920887817869
y[1] (numeric) = 0.26001249620056737583143430406256
absolute error = 2.343777457411613e-17
relative error = 9.0140954441038838379969999999998e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.98
Order of pole = 3.566
x[1] = -1.686
y[1] (analytic) = 0.26024073308773547882733443744802
y[1] (numeric) = 0.26024073308773545521118354040578
absolute error = 2.361615089704224e-17
relative error = 9.0747326972370923255039999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.98
Order of pole = 3.567
x[1] = -1.685
y[1] (analytic) = 0.26046923532744238746101101133692
y[1] (numeric) = 0.26046923532744236366546355771098
absolute error = 2.379554745362594e-17
relative error = 9.1356460672647049496500000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.979
Order of pole = 3.568
x[1] = -1.684
y[1] (analytic) = 0.26069800326185341681230995115562
y[1] (numeric) = 0.26069800326185339283634114346768
absolute error = 2.397596880768794e-17
relative error = 9.1968363806782630776640000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.978
Order of pole = 3.568
x[1] = -1.683
y[1] (analytic) = 0.26092703723350543210952464573284
y[1] (numeric) = 0.2609270372335054079521051057797
absolute error = 2.415741953995314e-17
relative error = 9.2583044655255469565459999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.977
Order of pole = 3.569
x[1] = -1.682
y[1] (analytic) = 0.26115633758530671767224043932764
y[1] (numeric) = 0.26115633758530669333233619123583
absolute error = 2.433990424809181e-17
relative error = 9.3200511514070303874439999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.976
Order of pole = 3.569
x[1] = -1.681
y[1] (analytic) = 0.26138590466053681868783753088601
y[1] (numeric) = 0.26138590466053679416440998412532
absolute error = 2.452342754676069e-17
relative error = 9.3820772694722724135090000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.976
Order of pole = 3.57
x[1] = -1.68
y[1] (analytic) = 0.26161573880284637923817496860611
y[1] (numeric) = 0.26161573880284635453018090096212
absolute error = 2.470799406764399e-17
relative error = 9.4443836524162387376000000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.975
Order of pole = 3.57
x[1] = -1.679
y[1] (analytic) = 0.26184584035625697655510899202182
y[1] (numeric) = 0.26184584035625695166150053252758
absolute error = 2.489360845949424e-17
relative error = 9.5069711344755341823840000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.974
Order of pole = 3.571
x[1] = -1.678
y[1] (analytic) = 0.26207620966516095148340376194674
y[1] (numeric) = 0.26207620966516092640312837377361
absolute error = 2.508027538817313e-17
relative error = 9.5698405514246001370920000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.973
Order of pole = 3.572
x[1] = -1.677
y[1] (analytic) = 0.26230684707432123512949695579789
y[1] (numeric) = 0.26230684707432120986149741910568
absolute error = 2.526799953669221e-17
relative error = 9.6329927405718276257089999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.972
Order of pole = 3.572
x[1] = -1.676
y[1] (analytic) = 0.26253775292887117167448679120057
y[1] (numeric) = 0.26253775292887114621770118594712
absolute error = 2.545678560525345e-17
relative error = 9.6964285407555864967200000000002e-15 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.5MB, time=11.87
Complex estimate of poles used
Radius of convergence = 1.971
Order of pole = 3.573
x[1] = -1.675
y[1] (analytic) = 0.26276892757431433732961077352603
y[1] (numeric) = 0.26276892757431431168297246223621
absolute error = 2.564663831128982e-17
relative error = 9.7601487923402321237500000000000e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.971
Order of pole = 3.573
x[1] = -1.674
y[1] (analytic) = 0.26300037135652435541238984229446
y[1] (numeric) = 0.26300037135652432957482745278885
absolute error = 2.583756238950561e-17
relative error = 9.8241543372119832768359999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.97
Order of pole = 3.574
x[1] = -1.673
y[1] (analytic) = 0.26323208462174470752151461635635
y[1] (numeric) = 0.26323208462174468149195202443961
absolute error = 2.602956259191674e-17
relative error = 9.8884460187747669171459999999999e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.969
Order of pole = 3.575
x[1] = -1.672
y[1] (analytic) = 0.26346406771658854078845310761137
y[1] (numeric) = 0.26346406771658851456580941972044
absolute error = 2.622264368789093e-17
relative error = 9.9530246819459807653120000000001e-15 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.968
Order of pole = 3.575
x[1] = -1.671
y[1] (analytic) = 0.26369632098803847118366158690864
y[1] (numeric) = 0.26369632098803844476685112272084
absolute error = 2.641681046418780e-17
relative error = 1.0017891173152200685980000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.967
Order of pole = 3.576
x[1] = -1.67
y[1] (analytic) = 0.26392884478344638285518224286732
y[1] (numeric) = 0.26392884478344635624311451786857
absolute error = 2.661206772499875e-17
relative error = 1.0083046340324776387500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.966
Order of pole = 3.576
x[1] = -1.669
y[1] (analytic) = 0.26416163945053322347731287383825
y[1] (numeric) = 0.26416163945053319666889258185141
absolute error = 2.680842029198684e-17
relative error = 1.0148491032895399401724000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.966
Order of pole = 3.577
x[1] = -1.668
y[1] (analytic) = 0.26439470533738879558693509427258
y[1] (numeric) = 0.26439470533738876858106208994612
absolute error = 2.700587300432646e-17
relative error = 1.0214226101791564084704000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.965
Order of pole = 3.577
x[1] = -1.667
y[1] (analytic) = 0.26462804279247154388498841855371
y[1] (numeric) = 0.26462804279247151668055769981079
absolute error = 2.720443071874292e-17
relative error = 1.0280252399431971421588000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.964
Order of pole = 3.578
x[1] = -1.666
y[1] (analytic) = 0.26486165216460833848047810706556
y[1] (numeric) = 0.26486165216460831107637979751362
absolute error = 2.740409830955194e-17
relative error = 1.0346570779721868437864000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.963
Order of pole = 3.579
x[1] = -1.665
y[1] (analytic) = 0.26509553380299425405430482009954
y[1] (numeric) = 0.26509553380299422644942415140062
absolute error = 2.760488066869892e-17
relative error = 1.0413182098048278349700000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.962
Order of pole = 3.579
x[1] = -1.664
y[1] (analytic) = 0.26532968805719234492010392433222
y[1] (numeric) = 0.26532968805719231711332121853403
absolute error = 2.780678270579819e-17
relative error = 1.0480087211275197509824000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 3.58
x[1] = -1.663
y[1] (analytic) = 0.26556411527713341595918173322544
y[1] (numeric) = 0.26556411527713338794937238505344
absolute error = 2.800980934817200e-17
relative error = 1.0547286977738668986800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 3.58
x[1] = -1.662
y[1] (analytic) = 0.26579881581311578940653503600511
y[1] (numeric) = 0.26579881581311576119256949511558
absolute error = 2.821396554088953e-17
relative error = 1.0614782257241838890532000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.96
Order of pole = 3.581
x[1] = -1.661
y[1] (analytic) = 0.26603379001580506746483897905809
y[1] (numeric) = 0.26603379001580503904558273225252
absolute error = 2.841925624680557e-17
relative error = 1.0682573911049863998997000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.959
Order of pole = 3.581
x[1] = -1.66
y[1] (analytic) = 0.26626903823623389072318670784961
y[1] (numeric) = 0.26626903823623386209750026125037
absolute error = 2.862568644659924e-17
relative error = 1.0750662801884810574400000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.958
Order of pole = 3.582
x[1] = -1.659
y[1] (analytic) = 0.26650456082580169235726215600591
y[1] (numeric) = 0.26650456082580166352400101719344
absolute error = 2.883326113881247e-17
relative error = 1.0819049793920439374407000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.957
Order of pole = 3.583
x[1] = -1.658
y[1] (analytic) = 0.26674035813627444808752498023454
y[1] (numeric) = 0.26674035813627441904553964034627
absolute error = 2.904198533988827e-17
relative error = 1.0887735752776888825228000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.956
Order of pole = 3.583
x[1] = -1.657
y[1] (analytic) = 0.26697643051978442187188388447503
y[1] (numeric) = 0.266976430519784392620019800266
absolute error = 2.925186408420903e-17
relative error = 1.0956721545515346901047000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.956
Order of pole = 3.584
x[1] = -1.656
y[1] (analytic) = 0.26721277832882990730923145329548
y[1] (numeric) = 0.26721277832882987784632902916104
absolute error = 2.946290242413444e-17
relative error = 1.1026008040632558365184000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.5MB, time=12.57
Complex estimate of poles used
Radius of convergence = 1.955
Order of pole = 3.584
x[1] = -1.655
y[1] (analytic) = 0.26744940191627496473011012229124
y[1] (numeric) = 0.26744940191627493505500469225176
absolute error = 2.967510543003948e-17
relative error = 1.1095596108055336670700000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.954
Order of pole = 3.585
x[1] = -1.654
y[1] (analytic) = 0.26768630163534915395067505131546
y[1] (numeric) = 0.26768630163534912406219686096343
absolute error = 2.988847819035203e-17
relative error = 1.1165486619134912410348000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.953
Order of pole = 3.585
x[1] = -1.653
y[1] (analytic) = 0.26792347783964726266601543399986
y[1] (numeric) = 0.26792347783964723256298962240934
absolute error = 3.010302581159052e-17
relative error = 1.1235680446641276116268000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.952
Order of pole = 3.586
x[1] = -1.652
y[1] (analytic) = 0.26816093088312903045879117342933
y[1] (numeric) = 0.2681609308831290001400377550281
absolute error = 3.031875341840123e-17
relative error = 1.1306178464757370039792000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.951
Order of pole = 3.586
x[1] = -1.651
y[1] (analytic) = 0.26839866112011886839903687824444
y[1] (numeric) = 0.2683986611201188378633707246489
absolute error = 3.053566615359554e-17
relative error = 1.1376981549073241652754000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.951
Order of pole = 3.587
x[1] = -1.65
y[1] (analytic) = 0.26863666890530557421087978509066
y[1] (numeric) = 0.26863666890530554345711060690368
absolute error = 3.075376917818698e-17
relative error = 1.1448090576580103305000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.95
Order of pole = 3.587
x[1] = -1.649
y[1] (analytic) = 0.26887495459374204298181249144642
y[1] (numeric) = 0.26887495459374201200874482001831
absolute error = 3.097306767142811e-17
relative error = 1.1519506425664309814011000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.949
Order of pole = 3.588
x[1] = -1.648
y[1] (analytic) = 0.26911351854084497339005528668125
y[1] (numeric) = 0.26911351854084494219648845583414
absolute error = 3.119356683084711e-17
relative error = 1.1591229976101209943744000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.948
Order of pole = 3.589
x[1] = -1.647
y[1] (analytic) = 0.26935236110239456942543639796165
y[1] (numeric) = 0.26935236110239453801016452567724
absolute error = 3.141527187228441e-17
relative error = 1.1663262109048995112569000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.947
Order of pole = 3.589
x[1] = -1.646
y[1] (analytic) = 0.2695914826345342375791116205791
y[1] (numeric) = 0.26959148263453420594092359065018
absolute error = 3.163818802992892e-17
relative error = 1.1735603707042382181872000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.946
Order of pole = 3.59
x[1] = -1.645
y[1] (analytic) = 0.26983088349377027947733757867257
y[1] (numeric) = 0.26983088349377024761501702231838
absolute error = 3.186232055635419e-17
relative error = 1.1808255653986253699475000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.946
Order of pole = 3.59
x[1] = -1.644
y[1] (analytic) = 0.2700705640369715799344052614067
y[1] (numeric) = 0.2700705640369715478467305388524
absolute error = 3.208767472255430e-17
relative error = 1.1881218835149181856480000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.945
Order of pole = 3.591
x[1] = -1.643
y[1] (analytic) = 0.27031052462136929039973250070483
y[1] (numeric) = 0.27031052462136925808547668272519
absolute error = 3.231425581797964e-17
relative error = 1.1954494137156896121836000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.944
Order of pole = 3.591
x[1] = -1.642
y[1] (analytic) = 0.27055076560455650777400569888133
y[1] (numeric) = 0.27055076560455647523193654830887
absolute error = 3.254206915057246e-17
relative error = 1.2028082447985650604344000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.943
Order of pole = 3.592
x[1] = -1.641
y[1] (analytic) = 0.27079128734448794856915237723609
y[1] (numeric) = 0.27079128734448791579803233043398
absolute error = 3.277112004680211e-17
relative error = 1.2101984656955462277891000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.942
Order of pole = 3.592
x[1] = -1.64
y[1] (analytic) = 0.2710320901994796183868169991327
y[1] (numeric) = 0.27103209019947958538540314743241
absolute error = 3.300141385170029e-17
relative error = 1.2176201654723338998400000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.942
Order of pole = 3.593
x[1] = -1.639
y[1] (analytic) = 0.27127317452820847668990302255284
y[1] (numeric) = 0.27127317452820844345694709365698
absolute error = 3.323295592889586e-17
relative error = 1.2250734333276331553106000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.941
Order of pole = 3.593
x[1] = -1.638
y[1] (analytic) = 0.27151454068971209684163425688099
y[1] (numeric) = 0.27151454068971206337588259623137
absolute error = 3.346575166064962e-17
relative error = 1.2325583585924561904328000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.94
Order of pole = 3.594
x[1] = -1.637
y[1] (analytic) = 0.27175618904338832138647833600424
y[1] (numeric) = 0.27175618904338828768667188811549
absolute error = 3.369980644788875e-17
relative error = 1.2400750307294113769875000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.939
Order of pole = 3.594
x[1] = -1.636
y[1] (analytic) = 0.27199811994899491254716447399916
y[1] (numeric) = 0.27199811994899487861203876375807
absolute error = 3.393512571024109e-17
relative error = 1.2476235393319852642064000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.5MB, time=13.28
Complex estimate of poles used
Radius of convergence = 1.938
Order of pole = 3.595
x[1] = -1.635
y[1] (analytic) = 0.2722403337666491979119166400098
y[1] (numeric) = 0.27224033376664916374020175394064
absolute error = 3.417171488606916e-17
relative error = 1.2552039741238139024100000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 3.595
x[1] = -1.634
y[1] (analytic) = 0.27248283085682771128591187469278
y[1] (numeric) = 0.27248283085682767687633244218874
absolute error = 3.440957943250404e-17
relative error = 1.2628164249579479662224000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 3.596
x[1] = -1.633
y[1] (analytic) = 0.27272561158036582868086167111528
y[1] (numeric) = 0.27272561158036579403213684563644
absolute error = 3.464872482547884e-17
relative error = 1.2704609818161018236076000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.936
Order of pole = 3.596
x[1] = -1.632
y[1] (analytic) = 0.27296867629845739941650215754442
y[1] (numeric) = 0.27296867629845736452734559778227
absolute error = 3.488915655976215e-17
relative error = 1.2781377348079009460160000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.935
Order of pole = 3.597
x[1] = -1.631
y[1] (analytic) = 0.27321202537265437230766624746835
y[1] (numeric) = 0.27321202537265433717678609847725
absolute error = 3.513088014899110e-17
relative error = 1.2858467741701141356710000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.934
Order of pole = 3.597
x[1] = -1.63
y[1] (analytic) = 0.27345565916486641691049796275534
y[1] (numeric) = 0.27345565916486638153659683705112
absolute error = 3.537390112570422e-17
relative error = 1.2935881902658776211800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.933
Order of pole = 3.597
x[1] = -1.629
y[1] (analytic) = 0.27369957803736053980125578840395
y[1] (numeric) = 0.27369957803736050418303074702988
absolute error = 3.561822504137407e-17
relative error = 1.3013620735839099848887000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 3.598
x[1] = -1.628
y[1] (analytic) = 0.27394378235276069586103818118861
y[1] (numeric) = 0.273943782352760659997180714749
absolute error = 3.586385746643961e-17
relative error = 1.3091685147377168931024000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 3.598
x[1] = -1.627
y[1] (analytic) = 0.27418827247404739453965022898834
y[1] (numeric) = 0.27418827247404735842884623865004
absolute error = 3.611080399033830e-17
relative error = 1.3170076044647853374070000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.931
Order of pole = 3.599
x[1] = -1.626
y[1] (analytic) = 0.27443304876455730107171594203535
y[1] (numeric) = 0.27443304876455726471264572049739
absolute error = 3.635907022153796e-17
relative error = 1.3248794336257685553296000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.93
Order of pole = 3.599
x[1] = -1.625
y[1] (analytic) = 0.27467811158798283261802575107296
y[1] (numeric) = 0.27467811158798279600936396350459
absolute error = 3.660866178756837e-17
relative error = 1.3327840932036609703125000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.929
Order of pole = 3.6
x[1] = -1.624
y[1] (analytic) = 0.27492346130837174930499348981244
y[1] (numeric) = 0.27492346130837171244540915475983
absolute error = 3.685958433505261e-17
relative error = 1.3407216743029632235136000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.928
Order of pole = 3.6
x[1] = -1.623
y[1] (analytic) = 0.27516909829012674013498144947524
y[1] (numeric) = 0.27516909829012670302313791973717
absolute error = 3.711184352973807e-17
relative error = 1.3486922681488348259103000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.927
Order of pole = 3.601
x[1] = -1.622
y[1] (analytic) = 0.27541502289800500374013601095491
y[1] (numeric) = 0.27541502289800496637469095442763
absolute error = 3.736544505652728e-17
relative error = 1.3566959660862399651552000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.927
Order of pole = 3.601
x[1] = -1.621
y[1] (analytic) = 0.27566123549711782395225988459167
y[1] (numeric) = 0.27566123549711778633186526508327
absolute error = 3.762039461950840e-17
relative error = 1.3647328595790807168440000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.926
Order of pole = 3.601
x[1] = -1.62
y[1] (analytic) = 0.27590773645293014016113011808851
y[1] (numeric) = 0.27590773645293010228443217610309
absolute error = 3.787669794198542e-17
relative error = 1.3728030402093195624800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.925
Order of pole = 3.602
x[1] = -1.619
y[1] (analytic) = 0.27615452613126011243355376908124
y[1] (numeric) = 0.27615452613126007429919300257311
absolute error = 3.813436076650813e-17
relative error = 1.3809065996760934653893000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.924
Order of pole = 3.602
x[1] = -1.618
y[1] (analytic) = 0.27640160489827868136533547968393
y[1] (numeric) = 0.27640160489827864297194662478217
absolute error = 3.839338885490176e-17
relative error = 1.3890436297948159514624000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.923
Order of pole = 3.603
x[1] = -1.617
y[1] (analytic) = 0.27664897312050912263821313534857
y[1] (numeric) = 0.27664897312050908398442514705228
absolute error = 3.865378798829629e-17
relative error = 1.3972142224962672820381000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 3.603
x[1] = -1.616
y[1] (analytic) = 0.27689663116482659625369933899236
y[1] (numeric) = 0.2768966311648265573381353718368
absolute error = 3.891556396715556e-17
relative error = 1.4054184698256775009536000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.5MB, time=14.00
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 3.603
x[1] = -1.615
y[1] (analytic) = 0.27714457939845769041564758295284
y[1] (numeric) = 0.27714457939845765123692497164685
absolute error = 3.917872261130599e-17
relative error = 1.4136564639417955576775000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.921
Order of pole = 3.604
x[1] = -1.614
y[1] (analytic) = 0.27739281818897996003324275533177
y[1] (numeric) = 0.27739281818897992058997299536677
absolute error = 3.944326975996500e-17
relative error = 1.4219282971159478514000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.92
Order of pole = 3.604
x[1] = -1.613
y[1] (analytic) = 0.27764134790432145981599597308989
y[1] (numeric) = 0.27764134790432142010678470132072
absolute error = 3.970921127176917e-17
relative error = 1.4302340617310877166173000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.919
Order of pole = 3.604
x[1] = -1.612
y[1] (analytic) = 0.27789016891276027193220369127069
y[1] (numeric) = 0.27789016891276023195565066646864
absolute error = 3.997655302480205e-17
relative error = 1.4385738502808326821520000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.918
Order of pole = 3.605
x[1] = -1.611
y[1] (analytic) = 0.27813928158292402820221059538216
y[1] (numeric) = 0.27813928158292398795690967876052
absolute error = 4.024530091662164e-17
relative error = 1.4469477553684903134644000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 3.605
x[1] = -1.61
y[1] (analytic) = 0.27838868628378942679769494167757
y[1] (numeric) = 0.27838868628378938628223407739001
absolute error = 4.051546086428756e-17
relative error = 1.4553558697060734427600000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 3.605
x[1] = -1.609
y[1] (analytic) = 0.27863838338468174341807376728289
y[1] (numeric) = 0.27863838338468170263103496289503
absolute error = 4.078703880438786e-17
relative error = 1.4637982861133030738466000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.916
Order of pole = 3.606
x[1] = -1.608
y[1] (analytic) = 0.27888837325527433691500374825974
y[1] (numeric) = 0.27888837325527429585496305519415
absolute error = 4.106004069306559e-17
relative error = 1.4722750975166033570176000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 3.606
x[1] = -1.607
y[1] (analytic) = 0.27913865626558814933583143821447
y[1] (numeric) = 0.2791386562655881080013589321696
absolute error = 4.133447250604487e-17
relative error = 1.4807863969480793848663000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.914
Order of pole = 3.606
x[1] = -1.606
y[1] (analytic) = 0.27938923278599120035672417242115
y[1] (numeric) = 0.27938923278599115874638393376435
absolute error = 4.161034023865680e-17
relative error = 1.4893322775444901020480000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.913
Order of pole = 3.607
x[1] = -1.605
y[1] (analytic) = 0.27964010318719807607609007207724
y[1] (numeric) = 0.27964010318719803418844016621237
absolute error = 4.188764990586487e-17
relative error = 1.4979128325462042174175000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 3.607
x[1] = -1.604
y[1] (analytic) = 0.27989126784026941213877232972535
y[1] (numeric) = 0.27989126784026936997236478743528
absolute error = 4.216640754229007e-17
relative error = 1.5065281552961463873712000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 3.607
x[1] = -1.603
y[1] (analytic) = 0.28014272711661137116137929952552
y[1] (numeric) = 0.28014272711661132871476009728981
absolute error = 4.244661920223571e-17
relative error = 1.5151783392387341053739000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.911
Order of pole = 3.608
x[1] = -1.602
y[1] (analytic) = 0.28039448138797511442898785443264
y[1] (numeric) = 0.28039448138797507170069689472087
absolute error = 4.272829095971177e-17
relative error = 1.5238634779187989537508000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.91
Order of pole = 3.608
x[1] = -1.601
y[1] (analytic) = 0.28064653102645626783333300591238
y[1] (numeric) = 0.28064653102645622482190409745344
absolute error = 4.301142890845894e-17
relative error = 1.5325836649804980346694000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.909
Order of pole = 3.608
x[1] = -1.6
y[1] (analytic) = 0.28089887640449438202247191011236
y[1] (numeric) = 0.28089887640449433872643274814009
absolute error = 4.329603916197227e-17
relative error = 1.5413389941662128120000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.908
Order of pole = 3.609
x[1] = -1.599
y[1] (analytic) = 0.28115151789487238673178510689802
y[1] (numeric) = 0.28115151789487234314965725337356
absolute error = 4.358212785352446e-17
relative error = 1.5501295593154365285246000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.907
Order of pole = 3.609
x[1] = -1.598
y[1] (analytic) = 0.28140445587071603926605215437623
y[1] (numeric) = 0.28140445587071599539635101818747
absolute error = 4.386970113618876e-17
relative error = 1.5589554543636492229104000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 3.609
x[1] = -1.597
y[1] (analytic) = 0.28165769070549336710221273098395
y[1] (numeric) = 0.28165769070549332294344754812247
absolute error = 4.415876518286148e-17
relative error = 1.5678167733411804434532000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 3.609
memory used=80.1MB, alloc=4.5MB, time=14.72
x[1] = -1.596
y[1] (analytic) = 0.28191122277301410458229777944168
y[1] (numeric) = 0.28191122277301406013297159315759
absolute error = 4.444932618628409e-17
relative error = 1.5767136103720590459344000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.905
Order of pole = 3.61
x[1] = -1.595
y[1] (analytic) = 0.282165052447429123665888361397
y[1] (numeric) = 0.28216505244742907892449800233203
absolute error = 4.474139035906497e-17
relative error = 1.5856460596728523030425000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.904
Order of pole = 3.61
x[1] = -1.594
y[1] (analytic) = 0.28241918010322985871133257795617
y[1] (numeric) = 0.28241918010322981367636864425546
absolute error = 4.503496393370071e-17
relative error = 1.5946142155514908719356000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.903
Order of pole = 3.61
x[1] = -1.593
y[1] (analytic) = 0.28267360611524772525482318907274
y[1] (numeric) = 0.28267360611524767992477002647573
absolute error = 4.533005316259701e-17
relative error = 1.6036181724060814982949000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.902
Order of pole = 3.61
x[1] = -1.592
y[1] (analytic) = 0.28292833085865353275631043349147
y[1] (numeric) = 0.28292833085865348712964611540225
absolute error = 4.562666431808922e-17
relative error = 1.6126580247237089687808000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 3.611
x[1] = -1.591
y[1] (analytic) = 0.2831833547089568912810960102014
y[1] (numeric) = 0.28318335470895684535629231773902
absolute error = 4.592480369246238e-17
relative error = 1.6217338670792224570878000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 3.611
x[1] = -1.59
y[1] (analytic) = 0.28343867804200561208582523171112
y[1] (numeric) = 0.28343867804200556586134763374024
absolute error = 4.622447759797088e-17
relative error = 1.6308457941340106172800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.9
Order of pole = 3.611
x[1] = -1.589
y[1] (analytic) = 0.28369430123398510207746499850635
y[1] (numeric) = 0.28369430123398505555177263164863
absolute error = 4.652569236685772e-17
relative error = 1.6399939006347648124012000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.899
Order of pole = 3.611
x[1] = -1.588
y[1] (analytic) = 0.28395022466141775211372547237959
y[1] (numeric) = 0.28395022466141770528527112100632
absolute error = 4.682845435137327e-17
relative error = 1.6491782814122270538288000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.898
Order of pole = 3.611
x[1] = -1.587
y[1] (analytic) = 0.28420644870116231911325314353648
y[1] (numeric) = 0.28420644870116227198048321974282
absolute error = 4.713276992379366e-17
relative error = 1.6583990313799273447254000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.897
Order of pole = 3.612
x[1] = -1.586
y[1] (analytic) = 0.28446297373041330194379239209466
y[1] (numeric) = 0.28446297373041325450514691565603
absolute error = 4.743864547643863e-17
relative error = 1.6676562455329045414748000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 3.612
x[1] = -1.585
y[1] (analytic) = 0.28471980012670031105638163842009
y[1] (numeric) = 0.28471980012670026331029421673104
absolute error = 4.774608742168905e-17
relative error = 1.6769500189464182363625000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 3.612
x[1] = -1.584
y[1] (analytic) = 0.28497692826788743183351875832133
y[1] (numeric) = 0.28497692826788738377841656631742
absolute error = 4.805510219200391e-17
relative error = 1.6862804467746447240896000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.895
Order of pole = 3.612
x[1] = -1.583
y[1] (analytic) = 0.28523435853217258161909860808485
y[1] (numeric) = 0.28523435853217253325340236814803
absolute error = 4.836569623993682e-17
relative error = 1.6956476242493585793298000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.894
Order of pole = 3.612
x[1] = -1.582
y[1] (analytic) = 0.2854920912980868603977932603311
y[1] (numeric) = 0.28549209129808681171991722217894
absolute error = 4.867787603815216e-17
relative error = 1.7050516466786048648384000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.893
Order of pole = 3.612
x[1] = -1.581
y[1] (analytic) = 0.28575012694449389509141289436018
y[1] (numeric) = 0.28575012694449384609976481491957
absolute error = 4.899164807944061e-17
relative error = 1.7144926094453526057221000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.892
Order of pole = 3.613
x[1] = -1.58
y[1] (analytic) = 0.28600846585058917743965221370553
y[1] (numeric) = 0.28600846585058912813263333697123
absolute error = 4.930701887673430e-17
relative error = 1.7239706080061380652000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 3.613
x[1] = -1.579
y[1] (analytic) = 0.28626710839589939543249377870007
y[1] (numeric) = 0.28626710839589934580849881557861
absolute error = 4.962399496312146e-17
relative error = 1.7334857378896937205186000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 3.613
x[1] = -1.578
y[1] (analytic) = 0.2865260549602817582614057426698
y[1] (numeric) = 0.28652605496028170831882285080925
absolute error = 4.994258289186055e-17
relative error = 1.7430380946955623578620000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.89
Order of pole = 3.613
x[1] = -1.577
y[1] (analytic) = 0.28678530592392331475633716660133
y[1] (numeric) = 0.28678530592392326449354793020739
absolute error = 5.026278923639394e-17
relative error = 1.7526277740926988481026000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.5MB, time=15.42
Complex estimate of poles used
Radius of convergence = 1.889
Order of pole = 3.613
x[1] = -1.576
y[1] (analytic) = 0.28704486166734026527537935848918
y[1] (numeric) = 0.28704486166734021469075876812817
absolute error = 5.058462059036101e-17
relative error = 1.7622548718180551797376000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.888
Order of pole = 3.613
x[1] = -1.575
y[1] (analytic) = 0.28730472257137726701382653977375
y[1] (numeric) = 0.28730472257137721610574297216291
absolute error = 5.090808356761084e-17
relative error = 1.7719194836751547997500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.887
Order of pole = 3.613
x[1] = -1.574
y[1] (analytic) = 0.28756488901720673269923358205779
y[1] (numeric) = 0.2875648890172066814660487798435
absolute error = 5.123318480221429e-17
relative error = 1.7816217055326494033204000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.886
Order of pole = 3.613
x[1] = -1.573
y[1] (analytic) = 0.28782536138632812263893258237778
y[1] (numeric) = 0.2878253613863280710790016339021
absolute error = 5.155993094847568e-17
relative error = 1.7913616333228656081872000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 3.613
x[1] = -1.572
y[1] (analytic) = 0.28808614006056723008633365445335
y[1] (numeric) = 0.28808614006056717819800497350957
absolute error = 5.188832868094378e-17
relative error = 1.8011393630403315403552000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 3.613
x[1] = -1.571
y[1] (analytic) = 0.2883472254220754598921985063037
y[1] (numeric) = 0.28834722542207540767381381188127
absolute error = 5.221838469442243e-17
relative error = 1.8109549907402945855963000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 3.613
x[1] = -1.57
y[1] (analytic) = 0.28860861785332910040693815117319
y[1] (numeric) = 0.28860861785332904785683244719267
absolute error = 5.255010570398052e-17
relative error = 1.8208086125372210374800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.883
Order of pole = 3.614
x[1] = -1.569
y[1] (analytic) = 0.28887031773712858859984845863132
y[1] (numeric) = 0.28887031773712853571635001366986
absolute error = 5.288349844496146e-17
relative error = 1.8307003246032822873106000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.882
Order of pole = 3.614
x[1] = -1.568
y[1] (analytic) = 0.28913232545659776836105919579578
y[1] (numeric) = 0.28913232545659771514248952280372
absolute error = 5.321856967299206e-17
relative error = 1.8406302231668249052544000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.881
Order of pole = 3.614
x[1] = -1.567
y[1] (analytic) = 0.28939464139518314195183373467547
y[1] (numeric) = 0.2893946413951830883965075706845
absolute error = 5.355532616399097e-17
relative error = 1.8505984045108299293433000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.88
Order of pole = 3.614
x[1] = -1.566
y[1] (analytic) = 0.28965726593665311456871771045628
y[1] (numeric) = 0.28965726593665306067494299627992
absolute error = 5.389377471417636e-17
relative error = 1.8606049649713504150416000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 3.614
x[1] = -1.565
y[1] (analytic) = 0.28992019946509723198689560698418
y[1] (numeric) = 0.28992019946509717775297346691094
absolute error = 5.423392214007324e-17
relative error = 1.8706500009359412123900000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 3.614
x[1] = -1.564
y[1] (analytic) = 0.29018344236492541124797451957229
y[1] (numeric) = 0.29018344236492535667219924105225
absolute error = 5.457577527852004e-17
relative error = 1.8807336088420679576384000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.878
Order of pole = 3.614
x[1] = -1.563
y[1] (analytic) = 0.29044699502086716435727420142325
y[1] (numeric) = 0.29044699502086710943793321474854
absolute error = 5.491934098667471e-17
relative error = 1.8908558851755043961399000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.877
Order of pole = 3.614
x[1] = -1.562
y[1] (analytic) = 0.29071085781797081495556193827394
y[1] (numeric) = 0.2907108578179707596909357962538
absolute error = 5.526462614202014e-17
relative error = 1.9010169264687112645816000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.876
Order of pole = 3.614
x[1] = -1.561
y[1] (analytic) = 0.29097503114160270793002981621144
y[1] (numeric) = 0.29097503114160265231839217384233
absolute error = 5.561163764236911e-17
relative error = 1.9112168292992041008831000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.875
Order of pole = 3.614
x[1] = -1.56
y[1] (analytic) = 0.2912395153774464119291705498602
y[1] (numeric) = 0.29123951537744635596878814399173
absolute error = 5.596038240586847e-17
relative error = 1.9214556902878997859200000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 3.614
x[1] = -1.559
y[1] (analytic) = 0.29150431091150191474606622220033
y[1] (numeric) = 0.29150431091150185843519885119745
absolute error = 5.631086737100288e-17
relative error = 1.9317336060974533078528000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 3.614
x[1] = -1.558
y[1] (analytic) = 0.29176941813008481153446205305302
y[1] (numeric) = 0.29176941813008475487136255645525
absolute error = 5.666309949659777e-17
relative error = 1.9420506734305731937828000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.873
Order of pole = 3.614
x[1] = -1.557
y[1] (analytic) = 0.29203483741982548582185466068618
y[1] (numeric) = 0.29203483741982542880476889886435
absolute error = 5.701708576182183e-17
relative error = 1.9524069890283263955567000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.5MB, time=16.14
Complex estimate of poles used
Radius of convergence = 1.872
Order of pole = 3.613
x[1] = -1.556
y[1] (analytic) = 0.29230056916766828328368120998405
y[1] (numeric) = 0.29230056916766822591084804379528
absolute error = 5.737283316618877e-17
relative error = 1.9628026496684238384272000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.871
Order of pole = 3.613
x[1] = -1.555
y[1] (analytic) = 0.29256661376087067824255235113845
y[1] (numeric) = 0.29256661376087062051220362158
absolute error = 5.773034872955845e-17
relative error = 1.9732377521634902106125000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.87
Order of pole = 3.613
x[1] = -1.554
y[1] (analytic) = 0.29283297158700243285632794481621
y[1] (numeric) = 0.29283297158700237476668845267881
absolute error = 5.808963949213740e-17
relative error = 1.9837123933593188145840000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.869
Order of pole = 3.613
x[1] = -1.553
y[1] (analytic) = 0.29309964303394474895869024321115
y[1] (numeric) = 0.29309964303394469050797772873248
absolute error = 5.845071251447867e-17
relative error = 1.9942266701331095661403000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 3.613
x[1] = -1.552
y[1] (analytic) = 0.29336662848988941251572445128706
y[1] (numeric) = 0.29336662848988935370214957380603
absolute error = 5.881357487748103e-17
relative error = 2.0047806793916909688512000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 3.613
x[1] = -1.551
y[1] (analytic) = 0.29363392834333793066187142886087
y[1] (numeric) = 0.29363392834333787148363774647342
absolute error = 5.917823368238745e-17
relative error = 2.0153745180697238210745000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.867
Order of pole = 3.613
x[1] = -1.55
y[1] (analytic) = 0.29390154298310066127847171197649
y[1] (numeric) = 0.29390154298310060173377566119347
absolute error = 5.954469605078302e-17
relative error = 2.0260082831278922555000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.866
Order of pole = 3.613
x[1] = -1.549
y[1] (analytic) = 0.29416947279829593507797403130728
y[1] (numeric) = 0.29416947279829587516500490671522
absolute error = 5.991296912459206e-17
relative error = 2.0366820715510737335606000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.865
Order of pole = 3.613
x[1] = -1.548
y[1] (analytic) = 0.2944377181783491701567350861407
y[1] (numeric) = 0.29443771817834910987367502006606
absolute error = 6.028306006607464e-17
relative error = 2.0473959803464956413056000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.864
Order of pole = 3.613
x[1] = -1.547
y[1] (analytic) = 0.29470627951299197897919049489731
y[1] (numeric) = 0.29470627951299191832421443707497
absolute error = 6.065497605782234e-17
relative error = 2.0581501065418728448906000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.863
Order of pole = 3.613
x[1] = -1.546
y[1] (analytic) = 0.29497515719226126775602958718817
y[1] (numeric) = 0.29497515719226120672730528443483
absolute error = 6.102872430275334e-17
relative error = 2.0689445471835294198744000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 3.612
x[1] = -1.545
y[1] (analytic) = 0.29524435160649832817885902820322
y[1] (numeric) = 0.29524435160649826677454700409643
absolute error = 6.140431202410679e-17
relative error = 2.0797793993345030039975000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 3.612
x[1] = -1.544
y[1] (analytic) = 0.29551386314634792147369217384726
y[1] (numeric) = 0.2955138631463478596919457084108
absolute error = 6.178174646543646e-17
relative error = 2.0906547600726319270656000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.861
Order of pole = 3.612
x[1] = -1.543
y[1] (analytic) = 0.29578369220275735473545254461231
y[1] (numeric) = 0.29578369220275729257441765400863
absolute error = 6.216103489060368e-17
relative error = 2.1015707264886256092432000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.86
Order of pole = 3.612
x[1] = -1.542
y[1] (analytic) = 0.29605383916697554950553087782332
y[1] (numeric) = 0.2960538391669754869633462940538
absolute error = 6.254218458376952e-17
relative error = 2.1125273956841166895328000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.859
Order of pole = 3.612
x[1] = -1.541
y[1] (analytic) = 0.29632430443055210255428587176092
y[1] (numeric) = 0.29632430443055203962908302237471
absolute error = 6.292520284938621e-17
relative error = 2.1235248647696950454901000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.858
Order of pole = 3.612
x[1] = -1.54
y[1] (analytic) = 0.29659508838533633883022897140823
y[1] (numeric) = 0.29659508838533627552013195922035
absolute error = 6.331009701218788e-17
relative error = 2.1345632308629265620800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.857
Order of pole = 3.611
x[1] = -1.539
y[1] (analytic) = 0.2968661914234763565374833643608
y[1] (numeric) = 0.29686619142347629284060894718028
absolute error = 6.369687441718052e-17
relative error = 2.1456425910863534241092000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 3.611
x[1] = -1.538
y[1] (analytic) = 0.29713761393741806430295675696877
y[1] (numeric) = 0.29713761393741800021741432733767
absolute error = 6.408554242963110e-17
relative error = 2.1567630425654740770840000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 3.611
x[1] = -1.537
y[1] (analytic) = 0.29740935631990421039451648525192
y[1] (numeric) = 0.29740935631990414591840805019592
absolute error = 6.447610843505600e-17
relative error = 2.1679246824267080766400000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.5MB, time=16.87
Complex estimate of poles used
Radius of convergence = 1.855
Order of pole = 3.611
x[1] = -1.536
y[1] (analytic) = 0.2976814189639734039513040827602
y[1] (numeric) = 0.29768141896397333908272424355156
absolute error = 6.486857983920864e-17
relative error = 2.1791276077953422751744000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 3.611
x[1] = -1.535
y[1] (analytic) = 0.29795380226295912818717457858159
y[1] (numeric) = 0.29795380226295906292421051051528
absolute error = 6.526296406806631e-17
relative error = 2.1903719157934585127975000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.853
Order of pole = 3.61
x[1] = -1.534
y[1] (analytic) = 0.29822650661048874552809353337572
y[1] (numeric) = 0.29822650661048867986882496555952
absolute error = 6.565926856781620e-17
relative error = 2.2016577035378429792720000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.852
Order of pole = 3.61
x[1] = -1.533
y[1] (analytic) = 0.29849953240048249464417213990434
y[1] (numeric) = 0.29849953240048242858667133506372
absolute error = 6.605750080484062e-17
relative error = 2.2129850681378770781518000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.851
Order of pole = 3.61
x[1] = -1.532
y[1] (analytic) = 0.29877288002715247933686761732213
y[1] (numeric) = 0.29877288002715241287919935162069
absolute error = 6.645766826570144e-17
relative error = 2.2243541066934109651456000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 3.61
x[1] = -1.531
y[1] (analytic) = 0.2990465498850016492417226157841
y[1] (numeric) = 0.29904654988500158238194415866045
absolute error = 6.685977845712365e-17
relative error = 2.2357649162926165777765000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 3.609
x[1] = -1.53
y[1] (analytic) = 0.29932054236882277230686342003652
y[1] (numeric) = 0.2993205423688227050430245140584
absolute error = 6.726383890597812e-17
relative error = 2.2472175940098230110800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.849
Order of pole = 3.609
x[1] = -1.529
y[1] (analytic) = 0.29959485787369739900732239792129
y[1] (numeric) = 0.29959485787369733133746523865774
absolute error = 6.766985715926355e-17
relative error = 2.2587122369033340699555000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 3.609
x[1] = -1.528
y[1] (analytic) = 0.29986949679499481825509538248954
y[1] (numeric) = 0.299869496794994750177254598402
absolute error = 6.807784078408754e-17
relative error = 2.2702489420132258299136000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.847
Order of pole = 3.609
x[1] = -1.527
y[1] (analytic) = 0.30014445952837100496468950505878
y[1] (numeric) = 0.30014445952837093647689213741202
absolute error = 6.848779736764676e-17
relative error = 2.2818278063591237204804000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.846
Order of pole = 3.608
x[1] = -1.526
y[1] (analytic) = 0.30041974646976755923376141144407
y[1] (numeric) = 0.3004197464697674903340268942377
absolute error = 6.889973451720637e-17
relative error = 2.2934489269379643086612000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.845
Order of pole = 3.608
x[1] = -1.525
y[1] (analytic) = 0.30069535801541063709828979515129
y[1] (numeric) = 0.30069535801541056778462993507287
absolute error = 6.931365986007842e-17
relative error = 2.3051124007217329551250000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 3.608
x[1] = -1.524
y[1] (analytic) = 0.30097129456180987282156976996162
y[1] (numeric) = 0.30097129456180980309198872636214
absolute error = 6.972958104359948e-17
relative error = 2.3168183246551858586048000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 3.608
x[1] = -1.523
y[1] (analytic) = 0.30124755650575729267615978049898
y[1] (numeric) = 0.30124755650575722252865404539162
absolute error = 7.014750573510736e-17
relative error = 2.3285667956535519963344000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.843
Order of pole = 3.607
x[1] = -1.522
y[1] (analytic) = 0.30152414424432622017775451351492
y[1] (numeric) = 0.30152414424432614961031289159805
absolute error = 7.056744162191687e-17
relative error = 2.3403579106002134868508000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.842
Order of pole = 3.607
x[1] = -1.521
y[1] (analytic) = 0.30180105817487017272979962522345
y[1] (numeric) = 0.30180105817487010174040321392873
absolute error = 7.098939641129472e-17
relative error = 2.3521917663443678833152000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.841
Order of pole = 3.607
x[1] = -1.52
y[1] (analytic) = 0.30207829869502174963750604156597
y[1] (numeric) = 0.30207829869502167822412821113246
absolute error = 7.141337783043351e-17
relative error = 2.3640684596986709150400000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.84
Order of pole = 3.606
x[1] = -1.519
y[1] (analytic) = 0.30235586620269151144976311929662
y[1] (numeric) = 0.30235586620269143961036949287186
absolute error = 7.183939362642476e-17
relative error = 2.3759880874368582065836000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.839
Order of pole = 3.606
x[1] = -1.518
y[1] (analytic) = 0.30263376109606685058729107678303
y[1] (numeric) = 0.30263376109606677831983951055203
absolute error = 7.226745156623100e-17
relative error = 2.3879507462913468284400000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 3.606
memory used=95.3MB, alloc=4.5MB, time=17.59
x[1] = -1.517
y[1] (analytic) = 0.30291198377361085321521381496743
y[1] (numeric) = 0.30291198377361078051765437831049
absolute error = 7.269755943665694e-17
relative error = 2.3999565329508175279566000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 3.605
x[1] = -1.516
y[1] (analytic) = 0.30319053463406115231807355159818
y[1] (numeric) = 0.30319053463406107918834850727851
absolute error = 7.312972504431967e-17
relative error = 2.4120055440577761749552000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.837
Order of pole = 3.605
x[1] = -1.515
y[1] (analytic) = 0.30346941407642877193514858621187
y[1] (numeric) = 0.30346941407642869837119237059396
absolute error = 7.356395621561791e-17
relative error = 2.4240978762060952747975000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.836
Order of pole = 3.605
x[1] = -1.514
y[1] (analytic) = 0.30374862249999696251377500003037
y[1] (numeric) = 0.30374862249999688851351420333013
absolute error = 7.400026079670024e-17
relative error = 2.4362336259385334332704000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.835
Order of pole = 3.604
x[1] = -1.513
y[1] (analytic) = 0.30402816030432002733821217456446
y[1] (numeric) = 0.30402816030431995289956552113202
absolute error = 7.443864665343244e-17
relative error = 2.4484128897442372524236000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.834
Order of pole = 3.604
x[1] = -1.512
y[1] (analytic) = 0.30430802788922213999143068593464
y[1] (numeric) = 0.30430802788922206511230901457098
absolute error = 7.487912167136366e-17
relative error = 2.4606357640562166312704000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.833
Order of pole = 3.603
x[1] = -1.511
y[1] (analytic) = 0.30458822565479615280703939940075
y[1] (numeric) = 0.30458822565479607748534564370892
absolute error = 7.532169375569183e-17
relative error = 2.4729023452488071660143000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.832
Order of pole = 3.603
x[1] = -1.51
y[1] (analytic) = 0.30486875400140239626840645102283
y[1] (numeric) = 0.30486875400140232050203561979498
absolute error = 7.576637083122785e-17
relative error = 2.4852127296351047078500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 3.603
x[1] = -1.509
y[1] (analytic) = 0.30514961332966746931186626146867
y[1] (numeric) = 0.30514961332966739309870541910983
absolute error = 7.621316084235884e-17
relative error = 2.4975670134643814974604000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 3.602
x[1] = -1.508
y[1] (analytic) = 0.30543080404048302049074178146792
y[1] (numeric) = 0.30543080404048294382867002845757
absolute error = 7.666207175301035e-17
relative error = 2.5099652929194807856240000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.83
Order of pole = 3.602
x[1] = -1.507
y[1] (analytic) = 0.30571232653500451995674782004183
y[1] (numeric) = 0.30571232653500444284363627343426
absolute error = 7.711311154660757e-17
relative error = 2.5224076641141914524093000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.829
Order of pole = 3.602
x[1] = -1.506
y[1] (analytic) = 0.30599418121465002221517755618359
y[1] (numeric) = 0.30599418121464994464888933014822
absolute error = 7.756628822603537e-17
relative error = 2.5348942230905972643332000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 3.601
x[1] = -1.505
y[1] (analytic) = 0.30627636848109891961011018292356
y[1] (numeric) = 0.30627636848109884158850036932613
absolute error = 7.802160981359743e-17
relative error = 2.5474250658164094888575000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.827
Order of pole = 3.601
x[1] = -1.504
y[1] (analytic) = 0.30655888873629068649571308049991
y[1] (numeric) = 0.30655888873629060801662872952577
absolute error = 7.847908435097414e-17
relative error = 2.5600002881822726026624000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.826
Order of pole = 3.6
x[1] = -1.503
y[1] (analytic) = 0.30684174238242361404954696350946
y[1] (numeric) = 0.30684174238242353511082706432989
absolute error = 7.893871989917957e-17
relative error = 2.5726199859990531124613000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 3.6
x[1] = -1.502
y[1] (analytic) = 0.30712492982195353568361709629349
y[1] (numeric) = 0.3071249298219534562830925577763
absolute error = 7.940052453851719e-17
relative error = 2.5852842549951012470876000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 3.6
x[1] = -1.501
y[1] (analytic) = 0.30740845145759254300874792230313
y[1] (numeric) = 0.30740845145759246314424155376847
absolute error = 7.986450636853466e-17
relative error = 2.5979931908134961751466000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.824
Order of pole = 3.599
x[1] = -1.5
y[1] (analytic) = 0.30769230769230769230769230769231
y[1] (numeric) = 0.307692307692307611977018799715
absolute error = 8.033067350797731e-17
relative error = 2.6107468890092625750000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 3.599
x[1] = -1.499
y[1] (analytic) = 0.30797649892931970147222005783183
y[1] (numeric) = 0.30797649892931962067318596309115
absolute error = 8.079903409474068e-17
relative error = 2.6235454450465708270068000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.822
Order of pole = 3.598
x[1] = -1.498
y[1] (analytic) = 0.30826102557210163735926342877506
y[1] (numeric) = 0.30826102557210155608966714295326
absolute error = 8.126959628582180e-17
relative error = 2.6363889542959106248720000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.5MB, time=18.30
Complex estimate of poles used
Radius of convergence = 1.821
Order of pole = 3.598
x[1] = -1.497
y[1] (analytic) = 0.30854588802437759352103002490891
y[1] (numeric) = 0.30854588802437751177866176763955
absolute error = 8.174236825726936e-17
relative error = 2.6492775120312431118424000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.82
Order of pole = 3.597
x[1] = -1.496
y[1] (analytic) = 0.30883108669012135826382575008894
y[1] (numeric) = 0.3088310866901212760464675459562
absolute error = 8.221735820413274e-17
relative error = 2.6622112134271307824384000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 3.597
x[1] = -1.495
y[1] (analytic) = 0.30911662197355507299016236350569
y[1] (numeric) = 0.30911662197355499029558802309581
absolute error = 8.269457434040988e-17
relative error = 2.6751901535558447204700000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 3.596
x[1] = -1.494
y[1] (analytic) = 0.30940249427914788077855568440451
y[1] (numeric) = 0.3094024942791477976045307854106
absolute error = 8.317402489899391e-17
relative error = 2.6882144273844468090076000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.818
Order of pole = 3.596
x[1] = -1.493
y[1] (analytic) = 0.30968870401161456515525159265158
y[1] (numeric) = 0.30968870401161448149953346103295
absolute error = 8.365571813161863e-17
relative error = 2.7012841297718500558287000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.817
Order of pole = 3.596
x[1] = -1.492
y[1] (analytic) = 0.30997525157591417901194768609674
y[1] (numeric) = 0.30997525157591409487228537729389
absolute error = 8.413966230880285e-17
relative error = 2.7143993554658575748240000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.816
Order of pole = 3.595
x[1] = -1.491
y[1] (analytic) = 0.31026213737724866362340878184569
y[1] (numeric) = 0.3102621373772485789975430620523
absolute error = 8.462586571979339e-17
relative error = 2.7275601991001739923459000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.815
Order of pole = 3.595
x[1] = -1.49
y[1] (analytic) = 0.31054936182106145771870438806248
y[1] (numeric) = 0.31054936182106137260436771555553
absolute error = 8.511433667250695e-17
relative error = 2.7407667551913962969500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.814
Order of pole = 3.594
x[1] = -1.489
y[1] (analytic) = 0.31083692531303609655962582694279
y[1] (numeric) = 0.31083692531303601095454233347205
absolute error = 8.560508349347074e-17
relative error = 2.7540191181359808053954000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.813
Order of pole = 3.594
x[1] = -1.488
y[1] (analytic) = 0.31112482825909480097966985922224
y[1] (numeric) = 0.31112482825909471488155533146045
absolute error = 8.609811452776179e-17
relative error = 2.7673173822071839075776000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 3.593
x[1] = -1.487
y[1] (analytic) = 0.31141307106539705633680444722779
y[1] (numeric) = 0.31141307106539696974336630828266
absolute error = 8.659343813894513e-17
relative error = 2.7806616415519829415697000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 3.593
x[1] = -1.486
y[1] (analytic) = 0.31170165413833818133306069828651
y[1] (numeric) = 0.31170165413833809424199798927594
absolute error = 8.709106270901057e-17
relative error = 2.7940519901879687463172000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.811
Order of pole = 3.592
x[1] = -1.485
y[1] (analytic) = 0.31199057788454788665382305454375
y[1] (numeric) = 0.31199057788454779906282641623545
absolute error = 8.759099663830830e-17
relative error = 2.8074885220002172086750000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.81
Order of pole = 3.592
x[1] = -1.484
y[1] (analytic) = 0.31227984271088882337951744020466
y[1] (numeric) = 0.31227984271088873528626909472152
absolute error = 8.809324834548314e-17
relative error = 2.8209713307381345796384000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.809
Order of pole = 3.591
x[1] = -1.483
y[1] (analytic) = 0.31256944902445512112222434422148
y[1] (numeric) = 0.31256944902445503252439807681401
absolute error = 8.859782626740747e-17
relative error = 2.8345005100122777728883000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.808
Order of pole = 3.591
x[1] = -1.482
y[1] (analytic) = 0.31285939723257091583957070684949
y[1] (numeric) = 0.31285939723257082673483184773654
absolute error = 8.910473885911295e-17
relative error = 2.8480761532911534079580000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.807
Order of pole = 3.59
x[1] = -1.481
y[1] (analytic) = 0.31314968774278886727808099366154
y[1] (numeric) = 0.31314968774278877766408639994074
absolute error = 8.961399459372080e-17
relative error = 2.8616983538979884760880000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 3.59
x[1] = -1.48
y[1] (analytic) = 0.31344032096288866599799398194584
y[1] (numeric) = 0.31344032096288857587239201957509
absolute error = 9.012560196237075e-17
relative error = 2.8753672050074764080000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 3.589
x[1] = -1.479
y[1] (analytic) = 0.31373129730087552993137755334138
y[1] (numeric) = 0.31373129730087543929180807919265
absolute error = 9.063956947414873e-17
relative error = 2.8890827996425010209993000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.805
Order of pole = 3.589
x[1] = -1.478
y[1] (analytic) = 0.31402261716497869042519918454607
y[1] (numeric) = 0.31402261716497859926929352853295
absolute error = 9.115590565601312e-17
relative error = 2.9028452306708328443008000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.5MB, time=19.01
Complex estimate of poles used
Radius of convergence = 1.804
Order of pole = 3.588
x[1] = -1.477
y[1] (analytic) = 0.31431428096364986772083485644795
y[1] (numeric) = 0.31431428096364977604621580372833
absolute error = 9.167461905271962e-17
relative error = 2.9166545908017999989898000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.803
Order of pole = 3.588
x[1] = -1.476
y[1] (analytic) = 0.31460628910556173582132376259054
y[1] (numeric) = 0.31460628910556164362560553584576
absolute error = 9.219571822674478e-17
relative error = 2.9305109725829351583328000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.802
Order of pole = 3.587
x[1] = -1.475
y[1] (analytic) = 0.31489864199960637669750049202913
y[1] (numeric) = 0.31489864199960628397828873382103
absolute error = 9.271921175820810e-17
relative error = 2.9444144683965959756250000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.801
Order of pole = 3.587
x[1] = -1.474
y[1] (analytic) = 0.31519134005489372378396029093421
y[1] (numeric) = 0.31519134005489363053885204614152
absolute error = 9.324510824479269e-17
relative error = 2.9583651704565589253844000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.8
Order of pole = 3.586
x[1] = -1.473
y[1] (analytic) = 0.31548438368074999471563657334744
y[1] (numeric) = 0.31548438368074990094222027168284
absolute error = 9.377341630166460e-17
relative error = 2.9723631708045903089340000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 3.586
x[1] = -1.472
y[1] (analytic) = 0.31577777328671611325559305592045
y[1] (numeric) = 0.31577777328671601895144849452988
absolute error = 9.430414456139057e-17
relative error = 2.9864085613069867482688000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 3.585
x[1] = -1.471
y[1] (analytic) = 0.31607150928254612036445573592352
y[1] (numeric) = 0.31607150928254602552715406206902
absolute error = 9.483730167385450e-17
relative error = 3.0005014336510949513450000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.798
Order of pole = 3.585
x[1] = -1.47
y[1] (analytic) = 0.31636559207820557436173241798222
y[1] (numeric) = 0.31636559207820547898883611180995
absolute error = 9.537289630617227e-17
relative error = 3.0146418793417992824300000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.797
Order of pole = 3.584
x[1] = -1.469
y[1] (analytic) = 0.31666002208386994012908962460271
y[1] (numeric) = 0.31666002208386984421815248199746
absolute error = 9.591093714260525e-17
relative error = 3.0288299896979881789525000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.796
Order of pole = 3.584
x[1] = -1.468
y[1] (analytic) = 0.31695479970992296730547850032203
y[1] (numeric) = 0.3169547997099228708540456158498
absolute error = 9.645143288447223e-17
relative error = 3.0430658558489911298352000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.795
Order of pole = 3.583
x[1] = -1.467
y[1] (analytic) = 0.3172499253669550574238227410457
y[1] (numeric) = 0.31724992536695496042943049098586
absolute error = 9.699439225005984e-17
relative error = 3.0573495687309887100576000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.794
Order of pole = 3.583
x[1] = -1.466
y[1] (analytic) = 0.31754539946576161993880265061496
y[1] (numeric) = 0.31754539946576152239897867608341
absolute error = 9.753982397453155e-17
relative error = 3.0716812190833987787180000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 3.582
x[1] = -1.465
y[1] (analytic) = 0.31784122241734141709509014771671
y[1] (numeric) = 0.3178412224173413190073533378817
absolute error = 9.808773680983501e-17
relative error = 3.0860608974452315433725000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 3.582
x[1] = -1.464
y[1] (analytic) = 0.31813739463289489758520991977847
y[1] (numeric) = 0.31813739463289479894707039517053
absolute error = 9.863813952460794e-17
relative error = 3.1004886941514203937024000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.792
Order of pole = 3.581
x[1] = -1.463
y[1] (analytic) = 0.31843391652382251894602194837613
y[1] (numeric) = 0.31843391652382241975498104429367
absolute error = 9.919104090408246e-17
relative error = 3.1149646993291253082774000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.791
Order of pole = 3.581
x[1] = -1.462
y[1] (analytic) = 0.31873078850172305864264031485502
y[1] (numeric) = 0.31873078850172295889619056486724
absolute error = 9.974644974998778e-17
relative error = 3.1294890028940066043432000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.79
Order of pole = 3.58
x[1] = -1.461
y[1] (analytic) = 0.3190280109783919137884225372872
y[1] (numeric) = 0.31902801097839181348404765683577
absolute error = 1.0030437488045143e-16
relative error = 3.1440616945464749681503000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.789
Order of pole = 3.58
x[1] = -1.46
y[1] (analytic) = 0.31932558436581938944948269255333
y[1] (numeric) = 0.31932558436581928858465756265459
absolute error = 1.0086482512989874e-16
relative error = 3.1586828637679089418400000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.788
Order of pole = 3.579
x[1] = -1.459
y[1] (analytic) = 0.31962350907618897548200024227462
y[1] (numeric) = 0.31962350907618887405419089332375
absolute error = 1.0142780934895087e-16
relative error = 3.1733525998168495690247000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 3.579
x[1] = -1.458
y[1] (analytic) = 0.31992178552187561185041481058711
y[1] (numeric) = 0.31992178552187550985707840626599
absolute error = 1.0199333640432112e-16
relative error = 3.1880709917251640133568000000000e-14 %
h = 0.001
memory used=106.8MB, alloc=4.5MB, time=19.72
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 3.578
x[1] = -1.457
y[1] (analytic) = 0.32022041411544394237441515744117
y[1] (numeric) = 0.32022041411544383981299997873157
absolute error = 1.0256141517870960e-16
relative error = 3.2028381282941809565040000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.786
Order of pole = 3.578
x[1] = -1.456
y[1] (analytic) = 0.32051939526964655685244825534883
y[1] (numeric) = 0.32051939526964645372039368465253
absolute error = 1.0313205457069630e-16
relative error = 3.2176540980907993143680000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.785
Order of pole = 3.577
x[1] = -1.455
y[1] (analytic) = 0.32081872939742222150929171245017
y[1] (numeric) = 0.32081872939742211780402821781771
absolute error = 1.0370526349463246e-16
relative error = 3.2325189894435674363150000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.784
Order of pole = 3.577
x[1] = -1.454
y[1] (analytic) = 0.32111841691189409771504979262173
y[1] (numeric) = 0.32111841691189399343399891209142
absolute error = 1.0428105088053031e-16
relative error = 3.2474328904387352685596000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 3.576
x[1] = -1.453
y[1] (analytic) = 0.32141845822636794892274996633142
y[1] (numeric) = 0.32141845822636784406332429238043
absolute error = 1.0485942567395099e-16
relative error = 3.2623958889162738564691000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.782
Order of pole = 3.576
x[1] = -1.452
y[1] (analytic) = 0.32171885375433033577153328631948
y[1] (numeric) = 0.32171885375433023033113645042855
absolute error = 1.0544039683589093e-16
relative error = 3.2774080724658712128272000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.781
Order of pole = 3.575
x[1] = -1.451
y[1] (analytic) = 0.32201960390944679930224792224901
y[1] (numeric) = 0.32201960390944669327827457958258
absolute error = 1.0602397334266643e-16
relative error = 3.2924695284228967438843000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 3.575
x[1] = -1.45
y[1] (analytic) = 0.322320709105560032232070910556
y[1] (numeric) = 0.32232070910555992562190672475955
absolute error = 1.0661016418579645e-16
relative error = 3.3075803438643348612500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 3.574
x[1] = -1.449
y[1] (analytic) = 0.32262216975668803823459858220461
y[1] (numeric) = 0.32262216975668793103562021032086
absolute error = 1.0719897837188375e-16
relative error = 3.3227406056046924338375000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.779
Order of pole = 3.574
x[1] = -1.448
y[1] (analytic) = 0.32292398627702227917166122432108
y[1] (numeric) = 0.3229239862770221713812363018269
absolute error = 1.0779042492249418e-16
relative error = 3.3379504001918741718272000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.778
Order of pole = 3.573
x[1] = -1.447
y[1] (analytic) = 0.32322615908092581022293231417971
y[1] (numeric) = 0.32322615908092570183841944014543
absolute error = 1.0838451287403428e-16
relative error = 3.3532098139030312177252000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.777
Order of pole = 3.573
x[1] = -1.446
y[1] (analytic) = 0.32352868858293140285921713822051
y[1] (numeric) = 0.32352868858293129387796586059356
absolute error = 1.0898125127762695e-16
relative error = 3.3685189327403758178620000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.776
Order of pole = 3.572
x[1] = -1.445
y[1] (analytic) = 0.32383157519773965560511977720388
y[1] (numeric) = 0.32383157519773954602447057821837
absolute error = 1.0958064919898551e-16
relative error = 3.3838778424269722951775000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.775
Order of pole = 3.572
x[1] = -1.444
y[1] (analytic) = 0.3241348193402170925366013037999
y[1] (numeric) = 0.32413481934021698235388558551423
absolute error = 1.1018271571828567e-16
relative error = 3.3992866284024897880112000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 3.571
x[1] = -1.443
y[1] (analytic) = 0.32443842142539424945875560345709
y[1] (numeric) = 0.32443842142539413867129567342115
absolute error = 1.1078745993003594e-16
relative error = 3.4147453758189334602906000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 3.571
x[1] = -1.442
y[1] (analytic) = 0.32474238186846374770894249591799
y[1] (numeric) = 0.32474238186846363631405155297201
absolute error = 1.1139489094294598e-16
relative error = 3.4302541695363390475672000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.773
Order of pole = 3.571
x[1] = -1.441
y[1] (analytic) = 0.32504670108477835553023080591104
y[1] (numeric) = 0.32504670108477824352521292611786
absolute error = 1.1200501787979318e-16
relative error = 3.4458130941184400219958000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.772
Order of pole = 3.57
x[1] = -1.44
y[1] (analytic) = 0.32535137948984903695991671004685
y[1] (numeric) = 0.32535137948984892434206683275955
absolute error = 1.1261784987728730e-16
relative error = 3.4614222338283024528000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.771
Order of pole = 3.57
x[1] = -1.439
y[1] (analytic) = 0.32565641749934298817769507552135
y[1] (numeric) = 0.3256564174993428749442989895881
absolute error = 1.1323339608593325e-16
relative error = 3.4770816726239303537325000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.5MB, time=20.43
Complex estimate of poles used
Radius of convergence = 1.77
Order of pole = 3.569
x[1] = -1.438
y[1] (analytic) = 0.3259618155290816612578736076541
y[1] (numeric) = 0.32596181552908154740620793776216
absolute error = 1.1385166566989194e-16
relative error = 3.4927914941538396877736000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 3.569
x[1] = -1.437
y[1] (analytic) = 0.32626757399503877526983144038325
y[1] (numeric) = 0.32626757399503866079716363354405
absolute error = 1.1447266780683920e-16
relative error = 3.5085517817526013598480000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 3.568
x[1] = -1.436
y[1] (analytic) = 0.32657369331333831467073533945376
y[1] (numeric) = 0.32657369331333819957432365163107
absolute error = 1.1509641168782269e-16
relative error = 3.5243626184363510775824000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 3.568
x[1] = -1.435
y[1] (analytic) = 0.32688017390025251493433794506779
y[1] (numeric) = 0.32688017390025239921143142795078
absolute error = 1.1572290651711701e-16
relative error = 3.5402240868982728491725000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.767
Order of pole = 3.567
x[1] = -1.434
y[1] (analytic) = 0.32718701617219983535949346214904
y[1] (numeric) = 0.32718701617219971900733195007244
absolute error = 1.1635216151207660e-16
relative error = 3.5561362695040438886960000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.766
Order of pole = 3.567
x[1] = -1.433
y[1] (analytic) = 0.32749422054574291900183691508304
y[1] (numeric) = 0.32749422054574280201765101209618
absolute error = 1.1698418590298686e-16
relative error = 3.5720992482872544415454000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.765
Order of pole = 3.566
x[1] = -1.432
y[1] (analytic) = 0.32780178743758653967188352284647
y[1] (numeric) = 0.32780178743758642205289458993336
absolute error = 1.1761898893291311e-16
relative error = 3.5881131049447912328064000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.764
Order of pole = 3.566
x[1] = -1.431
y[1] (analytic) = 0.32810971726457553594261492288929
y[1] (numeric) = 0.3281097172645754176860350653417
absolute error = 1.1825657985754759e-16
relative error = 3.6041779208321910044599000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.763
Order of pole = 3.566
x[1] = -1.43
y[1] (analytic) = 0.32841801044369273210942888107984
y[1] (numeric) = 0.32841801044369261321246093602544
absolute error = 1.1889696794505440e-16
relative error = 3.6202937769589614256000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 3.565
x[1] = -1.429
y[1] (analytic) = 0.32872666739205684604513877360627
y[1] (numeric) = 0.32872666739205672650497629769392
absolute error = 1.1954016247591235e-16
relative error = 3.6364607539838688110635000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 3.565
x[1] = -1.428
y[1] (analytic) = 0.32903568852692038389251851812855
y[1] (numeric) = 0.32903568852692026370634577537273
absolute error = 1.2018617274275582e-16
relative error = 3.6526789322101960405088000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.761
Order of pole = 3.564
x[1] = -1.427
y[1] (analytic) = 0.32934507426566752153669776891766
y[1] (numeric) = 0.32934507426566740070168971870425
absolute error = 1.2083500805021341e-16
relative error = 3.6689483915809643297189000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.76
Order of pole = 3.564
x[1] = -1.426
y[1] (analytic) = 0.3296548250258119727995210774702
y[1] (numeric) = 0.32965482502581185131284336272565
absolute error = 1.2148667771474455e-16
relative error = 3.6852692116741243855580000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.759
Order of pole = 3.564
x[1] = -1.425
y[1] (analytic) = 0.32996494122499484429779335945556
y[1] (numeric) = 0.32996494122499472215660229498159
absolute error = 1.2214119106447397e-16
relative error = 3.7016414716977142533125000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.758
Order of pole = 3.563
x[1] = -1.424
y[1] (analytic) = 0.33027542328098247690714240419371
y[1] (numeric) = 0.33027542328098235410858496516969
absolute error = 1.2279855743902402e-16
relative error = 3.7180652504849839117951999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 3.563
x[1] = -1.423
y[1] (analytic) = 0.3305862716116642737730373175701
y[1] (numeric) = 0.33058627161166415031425112822529
absolute error = 1.2345878618934481e-16
relative error = 3.7345406264894860676849000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 3.562
x[1] = -1.422
y[1] (analytic) = 0.33089748663505051481030970681159
y[1] (numeric) = 0.33089748663505039068842302926936
absolute error = 1.2412188667754223e-16
relative error = 3.7510676777801353260732000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.756
Order of pole = 3.562
x[1] = -1.421
y[1] (analytic) = 0.33120906876927015763233209935875
y[1] (numeric) = 0.33120906876927003284446382265504
absolute error = 1.2478786827670371e-16
relative error = 3.7676464820362318608411000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.755
Order of pole = 3.562
x[1] = -1.42
y[1] (analytic) = 0.33152101843256862485081554170534
y[1] (numeric) = 0.33152101843256849939407517098359
absolute error = 1.2545674037072175e-16
relative error = 3.7842771165424508670000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 3.561
x[1] = -1.419
y[1] (analytic) = 0.33183333604330557768699555111046
y[1] (numeric) = 0.33183333604330545155848319699511
absolute error = 1.2612851235411535e-16
relative error = 3.8009596581838020826135000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.5MB, time=21.14
Complex estimate of poles used
Radius of convergence = 1.753
Order of pole = 3.561
x[1] = -1.418
y[1] (analytic) = 0.33214602201995267583478259714275
y[1] (numeric) = 0.33214602201995254903158896529374
absolute error = 1.2680319363184901e-16
relative error = 3.8176941834405497878324000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.752
Order of pole = 3.561
x[1] = -1.417
y[1] (analytic) = 0.33245907678109132351626007475675
y[1] (numeric) = 0.33245907678109119603546645560715
absolute error = 1.2748079361914960e-16
relative error = 3.8344807683831027119440000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 3.56
x[1] = -1.416
y[1] (analytic) = 0.33277250074541040166971929974017
y[1] (numeric) = 0.33277250074541027350839755841928
absolute error = 1.2816132174132089e-16
relative error = 3.8513194886668678841984000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 3.56
x[1] = -1.415
y[1] (analytic) = 0.33308629433170398621022741466745
y[1] (numeric) = 0.33308629433170385736543998111164
absolute error = 1.2884478743355581e-16
relative error = 3.8682104195270709167725000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.75
Order of pole = 3.56
x[1] = -1.414
y[1] (analytic) = 0.33340045795886905230253024275554
y[1] (numeric) = 0.33340045795886892277133010200921
absolute error = 1.2953120014074633e-16
relative error = 3.8851536357735397921668000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 3.559
x[1] = -1.413
y[1] (analytic) = 0.33371499204590316458589807209512
y[1] (numeric) = 0.33371499204590303436532875480405
absolute error = 1.3022056931729107e-16
relative error = 3.9021492117854558433883000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.748
Order of pole = 3.559
x[1] = -1.412
y[1] (analytic) = 0.33402989701190215329032809752604
y[1] (numeric) = 0.33402989701190202237742367062552
absolute error = 1.3091290442690052e-16
relative error = 3.9191972215060687034688000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.747
Order of pole = 3.559
x[1] = -1.411
y[1] (analytic) = 0.33434517327605777618332279588796
y[1] (numeric) = 0.33434517327605764457510785348805
absolute error = 1.3160821494239991e-16
relative error = 3.9362977384373768121710999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 3.558
x[1] = -1.41
y[1] (analytic) = 0.3346608212576553662862688665038
y[1] (numeric) = 0.33466082125765523397975852097418
absolute error = 1.3230651034552962e-16
relative error = 3.9534508356347705752200000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 3.558
x[1] = -1.409
y[1] (analytic) = 0.33497684137607146529924653659069
y[1] (numeric) = 0.3349768413760713322914464098474
absolute error = 1.3300780012674329e-16
relative error = 3.9706565857016433551449000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.745
Order of pole = 3.558
x[1] = -1.408
y[1] (analytic) = 0.3352932340507714426729040149353
y[1] (numeric) = 0.33529323405077130896081022993188
absolute error = 1.3371209378500342e-16
relative error = 3.9879150607839644002688000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.744
Order of pole = 3.557
x[1] = -1.407
y[1] (analytic) = 0.33560999970130710026583668076341
y[1] (numeric) = 0.33560999970130696584643585318887
absolute error = 1.3441940082757454e-16
relative error = 4.0052263325648165053645999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.743
Order of pole = 3.557
x[1] = -1.406
y[1] (analytic) = 0.33592713874731426252571522247111
y[1] (numeric) = 0.33592713874731412739598445265721
absolute error = 1.3512973076981390e-16
relative error = 4.0225904722588973082040000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.742
Order of pole = 3.557
x[1] = -1.405
y[1] (analytic) = 0.33624465160851035213221139701247
y[1] (numeric) = 0.33624465160851021628911826205272
absolute error = 1.3584309313495975e-16
relative error = 4.0400075506069867049375000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.741
Order of pole = 3.557
x[1] = -1.404
y[1] (analytic) = 0.33656253870469195103957436955105
y[1] (numeric) = 0.33656253870469181448007691563404
absolute error = 1.3655949745391701e-16
relative error = 4.0574776378703748278416000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 3.556
x[1] = -1.403
y[1] (analytic) = 0.33688080045573234685651471882749
y[1] (numeric) = 0.33688080045573220957756145378699
absolute error = 1.3727895326504050e-16
relative error = 4.0750008038252560556450000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 3.556
x[1] = -1.402
y[1] (analytic) = 0.33719943728157906450085716096957
y[1] (numeric) = 0.33719943728157892649938704705401
absolute error = 1.3800147011391556e-16
relative error = 4.0925771177570844039824000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.739
Order of pole = 3.556
x[1] = -1.401
y[1] (analytic) = 0.3375184496022513830662268576256
y[1] (numeric) = 0.33751844960225124433916930448944
absolute error = 1.3872705755313616e-16
relative error = 4.1102066484548936798416000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.738
Order of pole = 3.556
x[1] = -1.4
y[1] (analytic) = 0.33783783783783783783783783783784
y[1] (numeric) = 0.33783783783783769838211269575739
absolute error = 1.3945572514208045e-16
relative error = 4.1278894642055813200000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.737
Order of pole = 3.555
memory used=118.2MB, alloc=4.5MB, time=21.86
x[1] = -1.399
y[1] (analytic) = 0.33815760240849370739425558154485
y[1] (numeric) = 0.33815760240849356720677313486123
absolute error = 1.4018748244668362e-16
relative error = 4.1456256327881524774762000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.736
Order of pole = 3.555
x[1] = -1.398
y[1] (analytic) = 0.33847774373443848573180919061848
y[1] (numeric) = 0.33847774373443834480947015141025
absolute error = 1.4092233903920823e-16
relative error = 4.1634152214679295154492000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 3.555
x[1] = -1.397
y[1] (analytic) = 0.33879826223595333934813181556229
y[1] (numeric) = 0.33879826223595319768782731755043
absolute error = 1.4166030449801186e-16
relative error = 4.1812582969907228808274000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 3.555
x[1] = -1.396
y[1] (analytic) = 0.3391191583333785492211111171399
y[1] (numeric) = 0.3391191583333784068197227098278
absolute error = 1.4240138840731210e-16
relative error = 4.1991549255769643747360000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.734
Order of pole = 3.554
x[1] = -1.395
y[1] (analytic) = 0.33944043244711093761933452703219
y[1] (numeric) = 0.33944043244711079447373417008331
absolute error = 1.4314560035694888e-16
relative error = 4.2171051729158032420200000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.733
Order of pole = 3.554
x[1] = -1.394
y[1] (analytic) = 0.33976208499760127967991693496546
y[1] (numeric) = 0.33976208499760113578696699282137
absolute error = 1.4389294994214409e-16
relative error = 4.2351091041591640287524000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.732
Order of pole = 3.554
x[1] = -1.393
y[1] (analytic) = 0.34008411640535169968940117648699
y[1] (numeric) = 0.34008411640535155504595441322851
absolute error = 1.4464344676325848e-16
relative error = 4.2531667839157663425752000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.731
Order of pole = 3.554
x[1] = -1.392
y[1] (analytic) = 0.34040652709091305200322433062461
y[1] (numeric) = 0.34040652709091290660612390507876
absolute error = 1.4539710042554585e-16
relative error = 4.2712782762451072389439999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 3.554
x[1] = -1.391
y[1] (analytic) = 0.34072931747488228653904536504206
y[1] (numeric) = 0.34072931747488214038512482613767
absolute error = 1.4615392053890439e-16
relative error = 4.2894436446514025502759000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 3.554
x[1] = -1.39
y[1] (analytic) = 0.34105248797789979877903209303912
y[1] (numeric) = 0.34105248797789965186511537541373
absolute error = 1.4691391671762539e-16
relative error = 4.3076629520774940601900000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.729
Order of pole = 3.553
x[1] = -1.389
y[1] (analytic) = 0.34137603902064676421600773694655
y[1] (numeric) = 0.34137603902064661653890915680752
absolute error = 1.4767709858013903e-16
relative error = 4.3259362608987144349863000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.728
Order of pole = 3.553
x[1] = -1.388
y[1] (analytic) = 0.34169997102384245717815963129206
y[1] (numeric) = 0.34169997102384230873468388253469
absolute error = 1.4844347574875737e-16
relative error = 4.3442636329167138862928000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.727
Order of pole = 3.553
x[1] = -1.387
y[1] (analytic) = 0.34202428440824155396681475178101
y[1] (numeric) = 0.34202428440824140475375690236644
absolute error = 1.4921305784941457e-16
relative error = 4.3626451293532498791432999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.726
Order of pole = 3.553
x[1] = -1.386
y[1] (analytic) = 0.34234897959463142024158882792034
y[1] (numeric) = 0.3423489795946312702557343165162
absolute error = 1.4998585451140414e-16
relative error = 4.3810808108439344732344000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 3.553
x[1] = -1.385
y[1] (analytic) = 0.34267405700382938258701779335041
y[1] (numeric) = 0.342674057003829231825142426237
absolute error = 1.5076187536711341e-16
relative error = 4.3995707374319453089725000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 3.553
x[1] = -1.384
y[1] (analytic) = 0.34299951705667998419458225402819
y[1] (numeric) = 0.34299951705667983265345220227315
absolute error = 1.5154113005175504e-16
relative error = 4.4181149685616954189824000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.724
Order of pole = 3.553
x[1] = -1.383
y[1] (analytic) = 0.34332536017405222459383751578009
y[1] (numeric) = 0.34332536017405207227020931268449
absolute error = 1.5232362820309560e-16
relative error = 4.4367135630724632006840000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.723
Order of pole = 3.553
x[1] = -1.382
y[1] (analytic) = 0.34365158677683678336616351492341
y[1] (numeric) = 0.34365158677683663025678405374216
absolute error = 1.5310937946118125e-16
relative error = 4.4553665791919838772500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.722
Order of pole = 3.553
x[1] = -1.381
y[1] (analytic) = 0.34397819728594322777445074421403
y[1] (numeric) = 0.34397819728594307387605727615362
absolute error = 1.5389839346806041e-16
relative error = 4.4740740745299996959601000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 3.553
x[1] = -1.38
y[1] (analytic) = 0.3443051921222972042418399669467
y[1] (numeric) = 0.34430519212229704955116009944325
absolute error = 1.5469067986750345e-16
relative error = 4.4928361060717702018000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.5MB, time=22.58
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 3.553
x[1] = -1.379
y[1] (analytic) = 0.34463257170683761361243517030535
y[1] (numeric) = 0.34463257170683745812618686558593
absolute error = 1.5548624830471942e-16
relative error = 4.5116527301715436256822000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 3.552
x[1] = -1.378
y[1] (analytic) = 0.34496033646051377012671083078868
y[1] (numeric) = 0.344960336460513613841602404719
absolute error = 1.5628510842606968e-16
relative error = 4.5305240025459857823711999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.719
Order of pole = 3.552
x[1] = -1.377
y[1] (analytic) = 0.34528848680428254404413615553727
y[1] (numeric) = 0.3452884868042823869568662767588
absolute error = 1.5708726987877847e-16
relative error = 4.5494499782675681154263000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.718
Order of pole = 3.552
x[1] = -1.376
y[1] (analytic) = 0.34561702315910548784534052954058
y[1] (numeric) = 0.34561702315910532995259821890005
absolute error = 1.5789274231064053e-16
relative error = 4.5684307117579185412928000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.717
Order of pole = 3.552
x[1] = -1.375
y[1] (analytic) = 0.34594594594594594594594594594595
y[1] (numeric) = 0.34594594594594578724441057622048
absolute error = 1.5870153536972547e-16
relative error = 4.5874662567811268671874999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 3.552
x[1] = -1.374
y[1] (analytic) = 0.34627525558576614785399373103277
y[1] (numeric) = 0.34627525558576598834033502695368
absolute error = 1.5951365870407909e-16
relative error = 4.6065566664370110611284000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 3.552
x[1] = -1.373
y[1] (analytic) = 0.34660495249952428470269440291925
y[1] (numeric) = 0.34660495249952412437357244149764
absolute error = 1.6032912196142161e-16
relative error = 4.6257019931543436823768999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.715
Order of pole = 3.552
x[1] = -1.372
y[1] (analytic) = 0.34693503710817156909003102986972
y[1] (numeric) = 0.34693503710817140794209624102712
absolute error = 1.6114793478884260e-16
relative error = 4.6449022886840328875840000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.714
Order of pole = 3.552
x[1] = -1.371
y[1] (analytic) = 0.34726550983264927815654798636358
y[1] (numeric) = 0.34726550983264911618644115387068
absolute error = 1.6197010683249290e-16
relative error = 4.6641576040922668704890000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.713
Order of pole = 3.552
x[1] = -1.37
y[1] (analytic) = 0.34759637109388577983245854913275
y[1] (numeric) = 0.34759637109388561703681081185957
absolute error = 1.6279564773727318e-16
relative error = 4.6834679897536121154200000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 3.553
x[1] = -1.369
y[1] (analytic) = 0.34792762131279354218500633750162
y[1] (numeric) = 0.34792762131279337856043919098226
absolute error = 1.6362456714651936e-16
relative error = 4.7028334953440723025696000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 3.553
x[1] = -1.368
y[1] (analytic) = 0.34825926091026612579681718896269
y[1] (numeric) = 0.34825926091026596133994248727793
absolute error = 1.6445687470168476e-16
relative error = 4.7222541698341046029824000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.711
Order of pole = 3.553
x[1] = -1.367
y[1] (analytic) = 0.34859129030717515910577967845242
y[1] (numeric) = 0.34859129030717499381319963643349
absolute error = 1.6529258004201893e-16
relative error = 4.7417300614815924228277000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.71
Order of pole = 3.553
x[1] = -1.366
y[1] (analytic) = 0.34892370992436729663679414478101
y[1] (numeric) = 0.34892370992436713050510134053773
absolute error = 1.6613169280424328e-16
relative error = 4.7612612178247785377568000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.709
Order of pole = 3.553
x[1] = -1.365
y[1] (analytic) = 0.34925652018266116005553178670904
y[1] (numeric) = 0.3492565201826609930813091644858
absolute error = 1.6697422262222324e-16
relative error = 4.7808476856751513634900000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 3.553
x[1] = -1.364
y[1] (analytic) = 0.34958972150284426197414714091542
y[1] (numeric) = 0.34958972150284409415396801427816
absolute error = 1.6782017912663726e-16
relative error = 4.8004895111102937568096000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 3.553
x[1] = -1.363
y[1] (analytic) = 0.34992331430566991243868906129222
y[1] (numeric) = 0.34992331430566974376911711664994
absolute error = 1.6866957194464228e-16
relative error = 4.8201867394666842387332000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 3.553
x[1] = -1.362
y[1] (analytic) = 0.35025729901185410802775719043209
y[1] (numeric) = 0.3502572990118539385053464908962
absolute error = 1.6952241069953589e-16
relative error = 4.8399394153324574552916000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.706
Order of pole = 3.553
x[1] = -1.361
y[1] (analytic) = 0.35059167604207240349175285670862
y[1] (numeric) = 0.35059167604207223311304784629352
absolute error = 1.7037870501041510e-16
relative error = 4.8597475825401220844710000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.705
Order of pole = 3.553
x[1] = -1.36
y[1] (analytic) = 0.35092644581695676586187535092645
y[1] (numeric) = 0.35092644581695659462341085909486
absolute error = 1.7123846449183159e-16
relative error = 4.8796112841592329886399999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.5MB, time=23.29
Complex estimate of poles used
Radius of convergence = 1.704
Order of pole = 3.553
x[1] = -1.359
y[1] (analytic) = 0.35126160875709241095781664214275
y[1] (numeric) = 0.3512616087570922388561178886992
absolute error = 1.7210169875344355e-16
relative error = 4.8995305624890212706755000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 3.554
x[1] = -1.358
y[1] (analytic) = 0.35159716528301462222290979001211
y[1] (numeric) = 0.35159716528301444925449239034802
absolute error = 1.7296841739966409e-16
relative error = 4.9195054590509821687076000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 3.554
x[1] = -1.357
y[1] (analytic) = 0.35193311581520555181528860803062
y[1] (numeric) = 0.35193311581520537797665857872463
absolute error = 1.7383863002930599e-16
relative error = 4.9395360145814147597951000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.702
Order of pole = 3.554
x[1] = -1.356
y[1] (analytic) = 0.35226946077409100388341853557358
y[1] (numeric) = 0.35226946077409082917107230035048
absolute error = 1.7471234623522310e-16
relative error = 4.9596222690239228200160000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.701
Order of pole = 3.554
x[1] = -1.355
y[1] (analytic) = 0.3526062005800371999541611939246
y[1] (numeric) = 0.35260620058003702436458558997655
absolute error = 1.7558957560394805e-16
relative error = 4.9797642615218676850124999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.7
Order of pole = 3.554
x[1] = -1.354
y[1] (analytic) = 0.35294333565334752636133773994853
y[1] (numeric) = 0.35294333565334734989101002462212
absolute error = 1.7647032771532641e-16
relative error = 4.9999620304107776267556000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 3.554
x[1] = -1.353
y[1] (analytic) = 0.35328086641425926364255889810285
y[1] (numeric) = 0.35328086641425908628794675595553
absolute error = 1.7735461214214732e-16
relative error = 5.0202156132107148331787999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 3.555
x[1] = -1.352
y[1] (analytic) = 0.35361879328294029783189245462364
y[1] (numeric) = 0.35361879328294011958945400485325
absolute error = 1.7824243844977039e-16
relative error = 5.0405250466185948496255999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 3.555
x[1] = -1.351
y[1] (analytic) = 0.35395711667948581357574204454833
y[1] (numeric) = 0.35395711667948563444192584879933
absolute error = 1.7913381619574900e-16
relative error = 5.0608903665004627054900000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.697
Order of pole = 3.555
x[1] = -1.35
y[1] (analytic) = 0.35429583702391496899911426040744
y[1] (numeric) = 0.3542958370239147889703593309575
absolute error = 1.8002875492944994e-16
relative error = 5.0813116078837245565000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.696
Order of pole = 3.555
x[1] = -1.349
y[1] (analytic) = 0.35463495473616755224925446866641
y[1] (numeric) = 0.35463495473616737132199027699714
absolute error = 1.8092726419166927e-16
relative error = 5.1017888049493319921526999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 3.556
x[1] = -1.348
y[1] (analytic) = 0.35497447023610061964343524413724
y[1] (numeric) = 0.3549744702361004378140817298927
absolute error = 1.8182935351424454e-16
relative error = 5.1223219910239235061216000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 3.556
x[1] = -1.347
y[1] (analytic) = 0.35531438394348511534748503149329
y[1] (numeric) = 0.35531438394348493261245261183004
absolute error = 1.8273503241966325e-16
relative error = 5.1429111985719202776925000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 3.556
x[1] = -1.346
y[1] (analytic) = 0.35565469627800247251144852467319
y[1] (numeric) = 0.35565469627800228886713810400574
absolute error = 1.8364431042066745e-16
relative error = 5.1635564591875739984420000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.693
Order of pole = 3.556
x[1] = -1.345
y[1] (analytic) = 0.35599540765924119578857432739118
y[1] (numeric) = 0.35599540765924101123137730753653
absolute error = 1.8455719701985465e-16
relative error = 5.1842578035869720821625000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.692
Order of pole = 3.557
x[1] = -1.344
y[1] (analytic) = 0.35633651850669342516362972929827
y[1] (numeric) = 0.35633651850669323968992802002345
absolute error = 1.8547370170927482e-16
relative error = 5.2050152615999946125952000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 3.557
x[1] = -1.343
y[1] (analytic) = 0.35667802923975148101634691075809
y[1] (numeric) = 0.35667802923975129462251294073449
absolute error = 1.8639383397002360e-16
relative error = 5.2258288621622269611640000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 3.557
x[1] = -1.342
y[1] (analytic) = 0.35701994027770439034560958298643
y[1] (numeric) = 0.35701994027770420302800631115487
absolute error = 1.8731760327183156e-16
relative error = 5.2466986333068241362384000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.69
Order of pole = 3.557
x[1] = -1.341
y[1] (analytic) = 0.35736225203973439407979398780894
y[1] (numeric) = 0.35736225203973420583477491515931
absolute error = 1.8824501907264963e-16
relative error = 5.2676246021563307928603000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.689
Order of pole = 3.558
x[1] = -1.34
y[1] (analytic) = 0.35770496494491343539848333094863
y[1] (numeric) = 0.35770496494491324622239251271803
absolute error = 1.8917609081823060e-16
relative error = 5.2886067949144546536000000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.5MB, time=24.00
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 3.558
x[1] = -1.339
y[1] (analytic) = 0.35804807941219962899058011307874
y[1] (numeric) = 0.35804807941219943887975217137216
absolute error = 1.9011082794170658e-16
relative error = 5.3096452368577908312018000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 3.558
x[1] = -1.338
y[1] (analytic) = 0.35839159586043371117364646245991
y[1] (numeric) = 0.35839159586043352012440659929733
absolute error = 1.9104923986316258e-16
relative error = 5.3307399523275020986952000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 3.559
x[1] = -1.337
y[1] (analytic) = 0.35873551470833547079910847049885
y[1] (numeric) = 0.35873551470833527880777248129279
absolute error = 1.9199133598920606e-16
relative error = 5.3518909647209514746814000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 3.559
x[1] = -1.336
y[1] (analytic) = 0.35907983637450016086776669577607
y[1] (numeric) = 0.35907983637449996793064098324368
absolute error = 1.9293712571253239e-16
relative error = 5.3730982964832860278144000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.685
Order of pole = 3.559
x[1] = -1.335
y[1] (analytic) = 0.35942456127739489077986144183163
y[1] (numeric) = 0.35942456127739469689324303034526
absolute error = 1.9388661841148637e-16
relative error = 5.3943619690989766577325000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 3.56
x[1] = -1.334
y[1] (analytic) = 0.35976968983535499914374813819186
y[1] (numeric) = 0.35976968983535480430392468857234
absolute error = 1.9483982344961952e-16
relative error = 5.4156820030833063453311999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 3.56
x[1] = -1.333
y[1] (analytic) = 0.36011522246658040706704517177316
y[1] (numeric) = 0.36011522246658021127029499652978
absolute error = 1.9579675017524338e-16
relative error = 5.4370584179738141424482000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.683
Order of pole = 3.561
x[1] = -1.332
y[1] (analytic) = 0.36046115958913195185392383599882
y[1] (numeric) = 0.36046115958913175509651591502016
absolute error = 1.9675740792097866e-16
relative error = 5.4584912323216910205984000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.682
Order of pole = 3.561
x[1] = -1.331
y[1] (analytic) = 0.36080750162092770103201769688634
y[1] (numeric) = 0.36080750162092750331021169358619
absolute error = 1.9772180600330015e-16
relative error = 5.4799804636831256703415000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.681
Order of pole = 3.561
x[1] = -1.33
y[1] (analytic) = 0.36115424897973924663223662826393
y[1] (numeric) = 0.36115424897973904794228290618641
absolute error = 1.9868995372207752e-16
relative error = 5.5015261286106044512800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 3.562
x[1] = -1.329
y[1] (analytic) = 0.36150140208318797964457905149985
y[1] (numeric) = 0.36150140208318777998271869138796
absolute error = 1.9966186036011189e-16
relative error = 5.5231282426441627470549000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 3.562
x[1] = -1.328
y[1] (analytic) = 0.36184896134874134457284453810704
y[1] (numeric) = 0.36184896134874114393530935543891
absolute error = 2.0063753518266813e-16
relative error = 5.5447868203025872137792000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 3.563
x[1] = -1.327
y[1] (analytic) = 0.36219692719370907401095790583532
y[1] (numeric) = 0.36219692719370887239397046883241
absolute error = 2.0161698743700291e-16
relative error = 5.5665018750745700730339000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.678
Order of pole = 3.563
x[1] = -1.326
y[1] (analytic) = 0.36254530003523940316342526998748
y[1] (numeric) = 0.362545300035239200563198918099
absolute error = 2.0260022635188848e-16
relative error = 5.5882734194098154906048000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.677
Order of pole = 3.564
x[1] = -1.325
y[1] (analytic) = 0.3628940802903152642322522113858
y[1] (numeric) = 0.3628940802903150606449910742537
absolute error = 2.0358726113713210e-16
relative error = 5.6101014647100964306250000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 3.564
x[1] = -1.324
y[1] (analytic) = 0.36324326837575046059246430045158
y[1] (numeric) = 0.36324326837575025601436331736049
absolute error = 2.0457810098309109e-16
relative error = 5.6319860213202617658384000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 3.564
x[1] = -1.323
y[1] (analytic) = 0.363592864708185820678180683111
y[1] (numeric) = 0.3635928647081856151054256229274
absolute error = 2.0557275506018360e-16
relative error = 5.6539270985191970040440000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.675
Order of pole = 3.565
x[1] = -1.322
y[1] (analytic) = 0.36394286970408533150100229866316
y[1] (numeric) = 0.36394286970408512492976978026831
absolute error = 2.0657123251839485e-16
relative error = 5.6759247045107323502740000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.674
Order of pole = 3.565
x[1] = -1.321
y[1] (analytic) = 0.36429328377973225172228757238963
y[1] (numeric) = 0.36429328377973204414874508561055
absolute error = 2.0757354248677908e-16
relative error = 5.6979788464145053254228000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 3.566
memory used=133.5MB, alloc=4.5MB, time=24.71
x[1] = -1.32
y[1] (analytic) = 0.36464410735122520420070011668611
y[1] (numeric) = 0.36464410735122499562100604372922
absolute error = 2.0857969407295689e-16
relative error = 5.7200895302567697513600000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 3.566
x[1] = -1.319
y[1] (analytic) = 0.36499534083447424793622509408667
y[1] (numeric) = 0.36499534083447403834652873147842
absolute error = 2.0958969636260825e-16
relative error = 5.7422567609611594162825000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 3.567
x[1] = -1.318
y[1] (analytic) = 0.36534698464519692933166345404885
y[1] (numeric) = 0.36534698464519671872810503508798
absolute error = 2.1060355841896087e-16
relative error = 5.7644805423393985233788000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.671
Order of pole = 3.567
x[1] = -1.317
y[1] (analytic) = 0.36569903919891431269242626318848
y[1] (numeric) = 0.3656990391989141010711369809144
absolute error = 2.1162128928227408e-16
relative error = 5.7867608770819636674512000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.67
Order of pole = 3.568
x[1] = -1.316
y[1] (analytic) = 0.36605150491094698988526481630071
y[1] (numeric) = 0.36605150491094677724236684698253
absolute error = 2.1264289796931818e-16
relative error = 5.8090977667486968594208000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 3.568
x[1] = -1.315
y[1] (analytic) = 0.3664043821964110690763861535784
y[1] (numeric) = 0.36640438219641085540799268072927
absolute error = 2.1366839347284913e-16
relative error = 5.8314912117593666682424999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 3.569
x[1] = -1.314
y[1] (analytic) = 0.3667576714702141424692180286335
y[1] (numeric) = 0.36675767147021392777143326755488
absolute error = 2.1469778476107862e-16
relative error = 5.8539412113841792097752000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 3.569
x[1] = -1.313
y[1] (analytic) = 0.36711137314705123296190228302892
y[1] (numeric) = 0.36711137314705101723082150588934
absolute error = 2.1573108077713958e-16
relative error = 5.8764477637342412459302000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.667
Order of pole = 3.57
x[1] = -1.312
y[1] (analytic) = 0.36746548764140071964441099691917
y[1] (numeric) = 0.36746548764140050287612055837232
absolute error = 2.1676829043854685e-16
relative error = 5.8990108657519683896640000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 3.57
x[1] = -1.311
y[1] (analytic) = 0.36782001536752024205499571305772
y[1] (numeric) = 0.36782001536752002424557307640444
absolute error = 2.1780942263665328e-16
relative error = 5.9216305132014464205488000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 3.571
x[1] = -1.31
y[1] (analytic) = 0.36817495673944258311549648392916
y[1] (numeric) = 0.3681749567394423642610102478281
absolute error = 2.1885448623610106e-16
relative error = 5.9443067006587408906600000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 3.571
x[1] = -1.309
y[1] (analytic) = 0.36853031217097153066485448027828
y[1] (numeric) = 0.36853031217097131076136440601006
absolute error = 2.1990349007426822e-16
relative error = 5.9670394215021540387382000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 3.572
x[1] = -1.308
y[1] (analytic) = 0.36888608207567771750998943510261
y[1] (numeric) = 0.36888608207567749655354647439219
absolute error = 2.2095644296071042e-16
relative error = 5.9898286679024329200288000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 3.573
x[1] = -1.307
y[1] (analytic) = 0.36924226686689443991302129161683
y[1] (numeric) = 0.36924226686689421789966761501897
absolute error = 2.2201335367659786e-16
relative error = 6.0126744308129247774714000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 3.573
x[1] = -1.306
y[1] (analytic) = 0.36959886695771345443363408825134
y[1] (numeric) = 0.36959886695771323135940311410393
absolute error = 2.2307423097414741e-16
relative error = 6.0355766999596830180276000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 3.574
x[1] = -1.305
y[1] (analytic) = 0.36995588276098075304519935997632
y[1] (numeric) = 0.36995588276098052890611578392659
absolute error = 2.2413908357604973e-16
relative error = 6.0585354638315182143325000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 3.574
x[1] = -1.304
y[1] (analytic) = 0.37031331468929231644309617481158
y[1] (numeric) = 0.37031331468929209123517599991993
absolute error = 2.2520792017489165e-16
relative error = 6.0815507096700020992640000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 3.575
x[1] = -1.303
y[1] (analytic) = 0.37067116315498984546348536905318
y[1] (numeric) = 0.37067116315498961918273593647971
absolute error = 2.2628074943257347e-16
relative error = 6.1046224234594160052723000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 3.575
x[1] = -1.302
y[1] (analytic) = 0.37102942857015647053061660638675
y[1] (numeric) = 0.37102942857015624317303662666538
absolute error = 2.2735757997972137e-16
relative error = 6.1277505899166495530948000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 3.576
x[1] = -1.301
y[1] (analytic) = 0.37138811134661243905056857662907
y[1] (numeric) = 0.37138811134661221061214816153425
absolute error = 2.2843842041509482e-16
relative error = 6.1509351924810472742681999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.5MB, time=25.42
Complex estimate of poles used
Radius of convergence = 1.658
Order of pole = 3.577
x[1] = -1.3
y[1] (analytic) = 0.37174721189591078066914498141264
y[1] (numeric) = 0.37174721189591055114586567642374
absolute error = 2.2952327930498890e-16
relative error = 6.1741762133042014100000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.657
Order of pole = 3.577
x[1] = -1.299
y[1] (analytic) = 0.37210673062933295031147193887328
y[1] (numeric) = 0.37210673062933271969930675624158
absolute error = 2.3061216518263170e-16
relative error = 6.1974736332396961321170000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.656
Order of pole = 3.578
x[1] = -1.298
y[1] (analytic) = 0.37246666795788444892066608959164
y[1] (numeric) = 0.37246666795788421721557954201514
absolute error = 2.3170508654757650e-16
relative error = 6.2208274318327957750600000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 3.578
x[1] = -1.297
y[1] (analytic) = 0.37282702429229042181276701405446
y[1] (numeric) = 0.37282702429229018901071514896556
absolute error = 2.3280205186508890e-16
relative error = 6.2442375873100823338010000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 3.579
x[1] = -1.296
y[1] (analytic) = 0.37318780004299123456495259022188
y[1] (numeric) = 0.37318780004299100066188302469306
absolute error = 2.3390306956552882e-16
relative error = 6.2677040765690407453312000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.654
Order of pole = 3.58
x[1] = -1.295
y[1] (analytic) = 0.37354899562013802635388164100074
y[1] (numeric) = 0.37354899562013779134573359727344
absolute error = 2.3500814804372730e-16
relative error = 6.2912268751675907528250000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.653
Order of pole = 3.58
x[1] = -1.294
y[1] (analytic) = 0.37391061143358824066083465822327
y[1] (numeric) = 0.37391061143358800454353899986517
absolute error = 2.3611729565835810e-16
relative error = 6.3148059573135660353159999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 3.581
x[1] = -1.293
y[1] (analytic) = 0.37427264789290113326015055491534
y[1] (numeric) = 0.37427264789290089602962982361123
absolute error = 2.3723052073130411e-16
relative error = 6.3384412958541415499939000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 3.581
x[1] = -1.292
y[1] (analytic) = 0.37463510540733325740728530411379
y[1] (numeric) = 0.37463510540733301905945375709532
absolute error = 2.3834783154701847e-16
relative error = 6.3621328622652070930608000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 3.582
x[1] = -1.291
y[1] (analytic) = 0.37499798438583392614264698327246
y[1] (numeric) = 0.37499798438583368667341063139208
absolute error = 2.3946923635188038e-16
relative error = 6.3858806266406872361878000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 3.583
x[1] = -1.29
y[1] (analytic) = 0.37536128523704065162719117150257
y[1] (numeric) = 0.37536128523704041103244781795692
absolute error = 2.4059474335354565e-16
relative error = 6.4096845576818096616500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 3.583
x[1] = -1.289
y[1] (analytic) = 0.37572500836927456142559085575504
y[1] (numeric) = 0.37572500836927431970123013546321
absolute error = 2.4172436072029183e-16
relative error = 6.4335446226863183167342999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 3.584
x[1] = -1.288
y[1] (analytic) = 0.37608915419053579165262600491022
y[1] (numeric) = 0.37608915419053554879452942455222
absolute error = 2.4285809658035800e-16
relative error = 6.4574607875376342195200000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 3.584
x[1] = -1.287
y[1] (analytic) = 0.37645372310849885689826978104322
y[1] (numeric) = 0.37645372310849861290231075976403
absolute error = 2.4399595902127919e-16
relative error = 6.4814330166939638066111000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 3.585
x[1] = -1.286
y[1] (analytic) = 0.37681871553050799684678098844071
y[1] (numeric) = 0.37681871553050775170882489922542
absolute error = 2.4513795608921529e-16
relative error = 6.5054612731773517974084000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 3.586
x[1] = -1.285
y[1] (analytic) = 0.37718413186357249950494582692906
y[1] (numeric) = 0.37718413186357225322085003865456
absolute error = 2.4628409578827450e-16
relative error = 6.5295455185626806126250000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 3.586
x[1] = -1.284
y[1] (analytic) = 0.37754997251436200095444633051631
y[1] (numeric) = 0.37754997251436175352006025068496
absolute error = 2.4743438607983135e-16
relative error = 6.5536857129666178416560000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.645
Order of pole = 3.587
x[1] = -1.283
y[1] (analytic) = 0.37791623788920176154316804914725
y[1] (numeric) = 0.37791623788920151295433316730816
absolute error = 2.4858883488183909e-16
relative error = 6.5778818150365071581901000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 3.588
x[1] = -1.282
y[1] (analytic) = 0.37828292839406791843009558453035
y[1] (numeric) = 0.37828292839406766868264551639372
absolute error = 2.4974745006813663e-16
relative error = 6.6021337819392081668411999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 3.588
x[1] = -1.281
y[1] (analytic) = 0.37865004443458271439828153463834
y[1] (numeric) = 0.37865004443458246348804206688856
absolute error = 2.5091023946774978e-16
relative error = 6.6264415693498792673858000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.6MB, time=26.14
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 3.589
x[1] = -1.28
y[1] (analytic) = 0.37901758641600970285021224984839
y[1] (numeric) = 0.37901758641600945077300138566143
absolute error = 2.5207721086418696e-16
relative error = 6.6508051314407087526400000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 3.589
x[1] = -1.279
y[1] (analytic) = 0.37938555474324892889973257112246
y[1] (numeric) = 0.37938555474324867565136057639324
absolute error = 2.5324837199472922e-16
relative error = 6.6752244208695906197402000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 3.59
x[1] = -1.278
y[1] (analytic) = 0.37975394982083208647453142160132
y[1] (numeric) = 0.37975394982083183205080087188676
absolute error = 2.5442373054971456e-16
relative error = 6.6996993887687455541503999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 3.591
x[1] = -1.277
y[1] (analytic) = 0.38012277205291765134303077207877
y[1] (numeric) = 0.38012277205291739573973660026222
absolute error = 2.5560329417181655e-16
relative error = 6.7242299847332878076494999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 3.591
x[1] = -1.276
y[1] (analytic) = 0.38049202184328598997936211273522
y[1] (numeric) = 0.38049202184328573319229165741797
absolute error = 2.5678707045531725e-16
relative error = 6.7488161568097386883600000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 3.592
x[1] = -1.275
y[1] (analytic) = 0.3808616995953344441799571530588
y[1] (numeric) = 0.38086169959533418620489020768446
absolute error = 2.5797506694537434e-16
relative error = 6.7734578514844850146249999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 3.593
x[1] = -1.274
y[1] (analytic) = 0.38123180571207239134512305400225
y[1] (numeric) = 0.3812318057120721321778319167199
absolute error = 2.5916729113728235e-16
relative error = 6.7981550136721803750860000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 3.593
x[1] = -1.273
y[1] (analytic) = 0.38160234059611628033881708616848
y[1] (numeric) = 0.38160234059611601997506661044025
absolute error = 2.6036375047572823e-16
relative error = 6.8229075867040962283367000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 3.594
x[1] = -1.272
y[1] (analytic) = 0.38197330464968464283968122035887
y[1] (numeric) = 0.38197330464968438127522886631798
absolute error = 2.6156445235404089e-16
relative error = 6.8477155123164138536576000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 3.594
x[1] = -1.271
y[1] (analytic) = 0.38234469827459308009624380744968
y[1] (numeric) = 0.38234469827459281732683969401472
absolute error = 2.6276940411343496e-16
relative error = 6.8725787306384644521736000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 3.595
x[1] = -1.27
y[1] (analytic) = 0.38271652187224922499904320869532
y[1] (numeric) = 0.38271652187224896102043016644677
absolute error = 2.6397861304224855e-16
relative error = 6.8974971801809123629500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.634
Order of pole = 3.596
x[1] = -1.269
y[1] (analytic) = 0.38308877584364767938227701072763
y[1] (numeric) = 0.38308877584364741419019063555253
absolute error = 2.6519208637517510e-16
relative error = 6.9224707978238844921110000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 3.596
x[1] = -1.268
y[1] (analytic) = 0.38346146058936492646743031738338
y[1] (numeric) = 0.38346146058936466005759902489416
absolute error = 2.6640983129248922e-16
relative error = 6.9474995188050440765728000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 3.597
x[1] = -1.267
y[1] (analytic) = 0.38383457650955421836118756882634
y[1] (numeric) = 0.38383457650955395072933264955986
absolute error = 2.6763185491926648e-16
relative error = 6.9725832767076084841272000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 3.597
x[1] = -1.266
y[1] (analytic) = 0.38420812400394043851978441313746
y[1] (numeric) = 0.38420812400394016966162008854023
absolute error = 2.6885816432459723e-16
relative error = 6.9977220034483138796588000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 3.598
x[1] = -1.265
y[1] (analytic) = 0.38458210347181493909180936265131
y[1] (numeric) = 0.38458210347181466900304284185705
absolute error = 2.7008876652079426e-16
relative error = 7.0229156292653225470850000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 3.599
x[1] = -1.264
y[1] (analytic) = 0.38495651531203035305131932296928
y[1] (numeric) = 0.38495651531203008172765086037488
absolute error = 2.7132366846259440e-16
relative error = 7.0481640827060762250240000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 3.599
x[1] = -1.263
y[1] (analytic) = 0.38533135992299538103298860305437
y[1] (numeric) = 0.38533135992299510847011155670045
absolute error = 2.7256287704635392e-16
relative error = 7.0734672906150925621248000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 3.6
x[1] = -1.262
y[1] (analytic) = 0.38570663770266955278086771650871
y[1] (numeric) = 0.38570663770266927897446860727088
absolute error = 2.7380639910923783e-16
relative error = 7.0988251781217080452251999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 3.6
x[1] = -1.261
y[1] (analytic) = 0.38608234904855796312218618357984
y[1] (numeric) = 0.38608234904855768806794475517694
absolute error = 2.7505424142840290e-16
relative error = 7.1242376686277634775090000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.6MB, time=26.85
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 3.601
x[1] = -1.26
y[1] (analytic) = 0.38645849435770598237749265728861
y[1] (numeric) = 0.38645849435770570607108193711411
absolute error = 2.7630641072017450e-16
relative error = 7.1497046837952353619999999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 3.602
x[1] = -1.259
y[1] (analytic) = 0.38683507402669394111828604210081
y[1] (numeric) = 0.38683507402669366355537240288368
absolute error = 2.7756291363921713e-16
relative error = 7.1752261435338105763753000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 3.602
x[1] = -1.258
y[1] (analytic) = 0.38721208845163178918315286668598
y[1] (numeric) = 0.38721208845163151035939608898728
absolute error = 2.7882375677769870e-16
relative error = 7.2008019659884066546679999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 3.603
x[1] = -1.257
y[1] (analytic) = 0.38758953802815372886328903055717
y[1] (numeric) = 0.38758953802815344877434236610877
absolute error = 2.8008894666444840e-16
relative error = 7.2264320675266342997160000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 3.603
x[1] = -1.256
y[1] (analytic) = 0.38796742315141282216814818493321
y[1] (numeric) = 0.3879674231514125408096584208249
absolute error = 2.8135848976410831e-16
relative error = 7.2521163627262067692416000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 3.604
x[1] = -1.255
y[1] (analytic) = 0.38834574421607557208182444830633
y[1] (numeric) = 0.38834574421607528944943197202781
absolute error = 2.8263239247627852e-16
relative error = 7.2778547643622909596299999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 3.604
x[1] = -1.254
y[1] (analytic) = 0.38872450161631647772064391436244
y[1] (numeric) = 0.38872450161631619380998277970653
absolute error = 2.8391066113465591e-16
relative error = 7.3036471833948048296956000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 3.605
x[1] = -1.253
y[1] (analytic) = 0.38910369574581256330230750164688
y[1] (numeric) = 0.38910369574581227810900549548049
absolute error = 2.8519330200616639e-16
relative error = 7.3294935289556567779751000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 3.606
x[1] = -1.252
y[1] (analytic) = 0.3894833269977378808367971383881
y[1] (numeric) = 0.38948332699773759435647584829734
absolute error = 2.8648032129009076e-16
relative error = 7.3553937083359318666304000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 3.606
x[1] = -1.251
y[1] (analytic) = 0.38986339576475798644912809000854
y[1] (numeric) = 0.38986339576475769867740297282462
absolute error = 2.8777172511718392e-16
relative error = 7.3813476269730187198392000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 3.607
x[1] = -1.25
y[1] (analytic) = 0.39024390243902439024390243902439
y[1] (numeric) = 0.39024390243902410117638289023673
absolute error = 2.8906751954878766e-16
relative error = 7.4073551884376837875000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 3.607
x[1] = -1.249
y[1] (analytic) = 0.39062484741216897962149233535456
y[1] (numeric) = 0.39062484741216868925378175941779
absolute error = 2.9036771057593677e-16
relative error = 7.4334162944210870713676999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 3.608
x[1] = -1.248
y[1] (analytic) = 0.39100623107529841595555666775106
y[1] (numeric) = 0.39100623107529812428325254929246
absolute error = 2.9167230411845860e-16
relative error = 7.4595308447217434333439999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 3.608
x[1] = -1.247
y[1] (analytic) = 0.39138805381898850454147128248863
y[1] (numeric) = 0.39138805381898821156016525842268
absolute error = 2.9298130602406595e-16
relative error = 7.4856987372324271884355000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 3.609
x[1] = -1.246
y[1] (analytic) = 0.39177031603327853772513081210852
y[1] (numeric) = 0.39177031603327824343040874466519
absolute error = 2.9429472206744333e-16
relative error = 7.5119198679270217891828000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 3.609
x[1] = -1.245
y[1] (analytic) = 0.3921530181076656111214595935334
y[1] (numeric) = 0.39215301810766531550890164420699
absolute error = 2.9561255794932641e-16
relative error = 7.5381941308473107866024999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 3.61
x[1] = -1.244
y[1] (analytic) = 0.39253616043109891283185007002845
y[1] (numeric) = 0.39253616043109861589703077445362
absolute error = 2.9693481929557483e-16
relative error = 7.5645214180897152011888000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 3.61
x[1] = -1.243
y[1] (analytic) = 0.39291974339197398556962950418636
y[1] (numeric) = 0.3929197433919736873081178479481
absolute error = 2.9826151165623826e-16
relative error = 7.5909016197919752737474000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 3.611
x[1] = -1.242
y[1] (analytic) = 0.39330376737812696160253979840822
y[1] (numeric) = 0.39330376737812666200989929379267
absolute error = 2.9959264050461555e-16
relative error = 7.6173346241197733127020000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 3.611
x[1] = -1.241
y[1] (analytic) = 0.39368823277682877042110074442508
y[1] (numeric) = 0.39368823277682846949288950811793
absolute error = 3.0092821123630715e-16
relative error = 7.6438203172533030187915000000000e-14 %
h = 0.001
memory used=148.7MB, alloc=4.6MB, time=27.56
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 3.612
x[1] = -1.24
y[1] (analytic) = 0.39407313997477931904161412358134
y[1] (numeric) = 0.39407313997477901677338495532072
absolute error = 3.0226822916826062e-16
relative error = 7.6703585833737814931199999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 3.612
x[1] = -1.239
y[1] (analytic) = 0.39445848935810164485245477434805
y[1] (numeric) = 0.39445848935810134123975523653879
absolute error = 3.0361269953780926e-16
relative error = 7.6969493046499054902046000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 3.613
x[1] = -1.238
y[1] (analytic) = 0.39484428131233604091218505245901
y[1] (numeric) = 0.39484428131233573595055755075516
absolute error = 3.0496162750170385e-16
relative error = 7.7235923612242524547940000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 3.613
x[1] = -1.237
y[1] (analytic) = 0.39523051622243415360792105191392
y[1] (numeric) = 0.39523051622243384729290291677654
absolute error = 3.0631501813513738e-16
relative error = 7.7502876311996240961722000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 3.613
x[1] = -1.236
y[1] (analytic) = 0.39561719447275305258227255176255
y[1] (numeric) = 0.39561719447275274490939612099974
absolute error = 3.0767287643076281e-16
relative error = 7.7770349906253343178576000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 3.614
x[1] = -1.235
y[1] (analytic) = 0.39600431644704927283707392410577
y[1] (numeric) = 0.39600431644704896380186662640192
absolute error = 3.0903520729770385e-16
relative error = 7.8038343134834420461625000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 3.614
x[1] = -1.234
y[1] (analytic) = 0.39639188252847282892202020330147
y[1] (numeric) = 0.39639188252847251852000464274281
absolute error = 3.1040201556055866e-16
relative error = 7.8306854716749272286696000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 3.615
x[1] = -1.233
y[1] (analytic) = 0.39677989309956120111622119526769
y[1] (numeric) = 0.39677989309956088934291523687123
absolute error = 3.1177330595839646e-16
relative error = 7.8575883350058105577693999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 3.615
x[1] = -1.232
y[1] (analytic) = 0.39716834854223329351058691949874
y[1] (numeric) = 0.39716834854223298036150377575169
absolute error = 3.1314908314374705e-16
relative error = 7.8845427711732177241920000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 3.615
x[1] = -1.231
y[1] (analytic) = 0.39755724923778336389885984556491
y[1] (numeric) = 0.39755724923778304936950816398166
absolute error = 3.1452935168158325e-16
relative error = 7.9115486457513892530325000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 3.616
x[1] = -1.23
y[1] (analytic) = 0.39794659556687492538501333121095
y[1] (numeric) = 0.39794659556687460947089728291491
absolute error = 3.1591411604829604e-16
relative error = 7.9386058221776311891600000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 3.616
x[1] = -1.229
y[1] (analytic) = 0.39833638790953461961464141160856
y[1] (numeric) = 0.39833638790953430231126078094596
absolute error = 3.1730338063066260e-16
relative error = 7.9657141617382124820660000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 3.616
x[1] = -1.228
y[1] (analytic) = 0.39872662664514606153787264990526
y[1] (numeric) = 0.3987266266451457428407229250982
absolute error = 3.1869714972480706e-16
relative error = 7.9928735235542050956704000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 3.617
x[1] = -1.227
y[1] (analytic) = 0.39911731215244365561125015914803
y[1] (numeric) = 0.39911731215244333551582262399395
absolute error = 3.2009542753515408e-16
relative error = 8.0200837645672706690832000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 3.617
x[1] = -1.226
y[1] (analytic) = 0.39950844480950638334593116629299
y[1] (numeric) = 0.39950844480950606184771299291799
absolute error = 3.2149821817337500e-16
relative error = 8.0473447395253880150000000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 3.617
x[1] = -1.225
y[1] (analytic) = 0.39990002499375156210947263184204
y[1] (numeric) = 0.39990002499375123920394697451524
absolute error = 3.2290552565732680e-16
relative error = 8.0746563009685282925000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 3.618
x[1] = -1.224
y[1] (analytic) = 0.40029205308192857508838448532049
y[1] (numeric) = 0.4002920530819282507710305753369
absolute error = 3.2431735390998359e-16
relative error = 8.1020182992142716493184000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 3.618
x[1] = -1.223
y[1] (analytic) = 0.40068452945011257231854900912719
y[1] (numeric) = 0.40068452945011224658484225076637
absolute error = 3.2573370675836082e-16
relative error = 8.1294305823433709093778000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 3.618
x[1] = -1.222
y[1] (analytic) = 0.40107745447369814269052382319864
y[1] (numeric) = 0.40107745447369781553593589076664
absolute error = 3.2715458793243200e-16
relative error = 8.1568929961852578668800000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
memory used=152.5MB, alloc=4.6MB, time=28.28
Order of pole = 3.619
x[1] = -1.221
y[1] (analytic) = 0.4014708285273929568366668125344
y[1] (numeric) = 0.40147082852739262825666574849638
absolute error = 3.2858000106403802e-16
relative error = 8.1844053843034952577482000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 3.619
x[1] = -1.22
y[1] (analytic) = 0.4018646519852113808069442211863
y[1] (numeric) = 0.40186465198521105079699453539732
absolute error = 3.3000994968578898e-16
relative error = 8.2119675879811729783200000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 3.619
x[1] = -1.219
y[1] (analytic) = 0.40225892522046806044020803222577
y[1] (numeric) = 0.40225892522046772899577080226727
absolute error = 3.3144443722995850e-16
relative error = 8.2395794462062486261849999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 3.619
x[1] = -1.218
y[1] (analytic) = 0.40265364860577147633765568603323
y[1] (numeric) = 0.40265364860577114345418865866272
absolute error = 3.3288346702737051e-16
relative error = 8.2672407956568331847724000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 3.62
x[1] = -1.217
y[1] (analytic) = 0.40304882251301746934511418171617
y[1] (numeric) = 0.40304882251301713501807187543765
absolute error = 3.3432704230627852e-16
relative error = 8.2949514706864226690828000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 3.62
x[1] = -1.216
y[1] (analytic) = 0.40344444731338273645072168142735
y[1] (numeric) = 0.40344444731338240067555549019015
absolute error = 3.3577516619123720e-16
relative error = 8.3227113033090723320320000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 3.62
x[1] = -1.215
y[1] (analytic) = 0.40384052337731829700451291784874
y[1] (numeric) = 0.40384052337731795977667121588232
absolute error = 3.3722784170196642e-16
relative error = 8.3505201231845179836450000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 3.62
x[1] = -1.214
y[1] (analytic) = 0.40423705107454292916635001430999
y[1] (numeric) = 0.40423705107454259048127826210239
absolute error = 3.3868507175220760e-16
relative error = 8.3783777576032415204960000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 3.62
x[1] = -1.213
y[1] (analytic) = 0.4046340307740365764885777882623
y[1] (numeric) = 0.40463403077403623634171863968991
absolute error = 3.4014685914857239e-16
relative error = 8.4062840314714819890190999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 3.621
x[1] = -1.212
y[1] (analytic) = 0.40503146284403372453972224562404
y[1] (numeric) = 0.40503146284403338292651565624043
absolute error = 3.4161320658938361e-16
relative error = 8.4342387672961912760784000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 3.621
x[1] = -1.211
y[1] (analytic) = 0.4054293476520167474754928095078
y[1] (numeric) = 0.40542934765201640439137614599928
absolute error = 3.4308411666350852e-16
relative error = 8.4622417851699369825892000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 3.621
x[1] = -1.21
y[1] (analytic) = 0.40582768556470922446329288584067
y[1] (numeric) = 0.40582768556470887990370103665642
absolute error = 3.4455959184918425e-16
relative error = 8.4902929027557491042500000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 3.621
x[1] = -1.209
y[1] (analytic) = 0.40622647694806922586638967437292
y[1] (numeric) = 0.40622647694806887982675516153749
absolute error = 3.4603963451283543e-16
relative error = 8.5183919352719123415783000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 3.621
x[1] = -1.208
y[1] (analytic) = 0.40662572216728256909384271066465
y[1] (numeric) = 0.40662572216728222156959580278061
absolute error = 3.4752424690788404e-16
relative error = 8.5465386954767053574656000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 3.621
x[1] = -1.207
y[1] (analytic) = 0.40702542158675604402224149713719
y[1] (numeric) = 0.40702542158675569500881032358579
absolute error = 3.4901343117355140e-16
relative error = 8.5747329936530858353859999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 3.621
x[1] = -1.206
y[1] (analytic) = 0.40742557557011060789525577362783
y[1] (numeric) = 0.40742557557011025738806643997563
absolute error = 3.5050718933365220e-16
relative error = 8.6029746375933197115920000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 3.622
x[1] = -1.205
y[1] (analytic) = 0.40782618448017454960695751470723
y[1] (numeric) = 0.40782618448017419760143421932648
absolute error = 3.5200552329538075e-16
relative error = 8.6312634325835598351875000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 3.622
x[1] = -1.204
y[1] (analytic) = 0.40822724867897662327483164708264
y[1] (numeric) = 0.4082272486789762697663967989935
absolute error = 3.5350843484808914e-16
relative error = 8.6595991813883672677024000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 3.622
x[1] = -1.203
y[1] (analytic) = 0.40862876852773915100835278065748
y[1] (numeric) = 0.40862876852773879599242711859994
absolute error = 3.5501592566205754e-16
relative error = 8.6879816842351817040585999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 3.622
x[1] = -1.202
y[1] (analytic) = 0.40903074438687109477896796634822
y[1] (numeric) = 0.40903074438687073825097067909179
absolute error = 3.5652799728725643e-16
relative error = 8.7164107387987366908972000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.6MB, time=28.99
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 3.622
x[1] = -1.201
y[1] (analytic) = 0.40943317661596109729729065784038
y[1] (numeric) = 0.40943317661596073925263950573947
absolute error = 3.5804465115210091e-16
relative error = 8.7448861401854241468491000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 3.622
x[1] = -1.2
y[1] (analytic) = 0.40983606557377049180327868852459
y[1] (numeric) = 0.40983606557377013223739012632781
absolute error = 3.5956588856219678e-16
relative error = 8.7734076809176014320000000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 3.622
x[1] = -1.199
y[1] (analytic) = 0.41023941161822628067513920448835
y[1] (numeric) = 0.41023941161822591958342850540962
absolute error = 3.6109171069907873e-16
relative error = 8.8019751509178501132672999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 3.622
x[1] = -1.198
y[1] (analytic) = 0.41064321510641408276267614540712
y[1] (numeric) = 0.41064321510641372014055752646682
absolute error = 3.6262211861894030e-16
relative error = 8.8305883374931789432120000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 3.622
x[1] = -1.197
y[1] (analytic) = 0.41104747639457104935077106340859
y[1] (numeric) = 0.41104747639457068519365781205285
absolute error = 3.6415711325135574e-16
relative error = 8.8592470253191750647366000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.578
Order of pole = 3.622
x[1] = -1.196
y[1] (analytic) = 0.41145219583807874865866584156786
y[1] (numeric) = 0.41145219583807838296197044357414
absolute error = 3.6569669539799372e-16
relative error = 8.8879509964241030498752000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 3.622
x[1] = -1.195
y[1] (analytic) = 0.41185737379145601878069624489039
y[1] (numeric) = 0.41185737379145565153983051356757
absolute error = 3.6724086573132282e-16
relative error = 8.9167000301729509003050000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 3.622
x[1] = -1.194
y[1] (analytic) = 0.41226301060835178897410823388175
y[1] (numeric) = 0.41226301060835142018448344057292
absolute error = 3.6878962479330883e-16
relative error = 8.9454939032514245716588000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.576
Order of pole = 3.622
x[1] = -1.193
y[1] (analytic) = 0.41266910664153786919957462068487
y[1] (numeric) = 0.41266910664153749885660162658105
absolute error = 3.7034297299410382e-16
relative error = 8.9743323896498908771118000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.575
Order of pole = 3.622
x[1] = -1.192
y[1] (analytic) = 0.41307566224290170782001797705282
y[1] (numeric) = 0.41307566224290133591910736632593
absolute error = 3.7190091061072689e-16
relative error = 9.0032152606472674183296000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 3.622
x[1] = -1.191
y[1] (analytic) = 0.41348267776343911736333673905232
y[1] (numeric) = 0.41348267776343874389989895331564
absolute error = 3.7346343778573668e-16
relative error = 9.0321422847948623158308000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 3.621
x[1] = -1.19
y[1] (analytic) = 0.41389015355324696825462522246596
y[1] (numeric) = 0.41389015355324659322407069657044
absolute error = 3.7503055452589552e-16
relative error = 9.0611132279001616587199999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.573
Order of pole = 3.621
x[1] = -1.189
y[1] (analytic) = 0.41429808996151585042347479265416
y[1] (numeric) = 0.41429808996151547382121409182892
absolute error = 3.7660226070082524e-16
relative error = 9.0901278530105659911804000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.572
Order of pole = 3.621
x[1] = -1.188
y[1] (analytic) = 0.41470648733652270269194275059884
y[1] (numeric) = 0.41470648733652232451338670894416
absolute error = 3.7817855604165468e-16
relative error = 9.1191859203970776268991999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.571
Order of pole = 3.621
x[1] = -1.187
y[1] (analytic) = 0.41511534602562340984877763059633
y[1] (numeric) = 0.41511534602562303008933749093769
absolute error = 3.7975944013965864e-16
relative error = 9.1482871875379333434215999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 3.621
x[1] = -1.186
y[1] (analytic) = 0.4155246663752453673154945823894
y[1] (numeric) = 0.41552466637524498597058213750081
absolute error = 3.8134491244488859e-16
relative error = 9.1774314091021910113964000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 3.621
x[1] = -1.185
y[1] (analytic) = 0.41593444873088001330990235938816
y[1] (numeric) = 0.41593444873087963037493009459333
absolute error = 3.8293497226479483e-16
relative error = 9.2066183369332635015675000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.569
Order of pole = 3.621
x[1] = -1.184
y[1] (analytic) = 0.41634469343707532841269418316502
y[1] (numeric) = 0.41634469343707494388307542032485
absolute error = 3.8452961876284017e-16
relative error = 9.2358477200324023935552000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.568
Order of pole = 3.62
x[1] = -1.183
y[1] (analytic) = 0.41675540083742830244272843092842
y[1] (numeric) = 0.41675540083742791631387747382324
absolute error = 3.8612885095710518e-16
relative error = 9.2651193045421335125302000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 3.62
x[1] = -1.182
y[1] (analytic) = 0.41716657127457736854664172566793
y[1] (numeric) = 0.41716657127457698081397400678306
absolute error = 3.8773266771888487e-16
relative error = 9.2944328337296417511387999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.6MB, time=29.70
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 3.62
x[1] = -1.181
y[1] (analytic) = 0.4175782050901948044084566267782
y[1] (numeric) = 0.41757820509019441506738885550137
absolute error = 3.8934106777127683e-16
relative error = 9.3237880479701067268763000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.566
Order of pole = 3.62
x[1] = -1.18
y[1] (analytic) = 0.41799030262497910048486875104498
y[1] (numeric) = 0.41799030262497870953081906328413
absolute error = 3.9095404968776085e-16
relative error = 9.3531846847299905753999999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.565
Order of pole = 3.62
x[1] = -1.179
y[1] (analytic) = 0.41840286421864729517192382892176
y[1] (numeric) = 0.41840286421864690260031193815193
absolute error = 3.9257161189076983e-16
relative error = 9.3826224785502741526303000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.564
Order of pole = 3.619
x[1] = -1.178
y[1] (analytic) = 0.41881589020992727680882394822765
y[1] (numeric) = 0.41881589020992688261507129797539
absolute error = 3.9419375265025226e-16
relative error = 9.4121011610296491716584000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.563
Order of pole = 3.619
x[1] = -1.177
y[1] (analytic) = 0.41922938093655005242463408611558
y[1] (numeric) = 0.41922938093654965660416400388969
absolute error = 3.9582047008222589e-16
relative error = 9.4416204608076579996781000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.563
Order of pole = 3.619
x[1] = -1.176
y[1] (analytic) = 0.41964333673524198313369500993715
y[1] (numeric) = 0.41964333673524158568193286261432
absolute error = 3.9745176214732283e-16
relative error = 9.4711801035477876814208000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.562
Order of pole = 3.619
x[1] = -1.175
y[1] (analytic) = 0.42005775794171698608558676818062
y[1] (numeric) = 0.42005775794171658699796011885466
absolute error = 3.9908762664932596e-16
relative error = 9.5007798119205161352500000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.561
Order of pole = 3.618
x[1] = -1.174
y[1] (analytic) = 0.42047264489066870287552832387831
y[1] (numeric) = 0.42047264489066830214746709018169
absolute error = 4.0072806123369662e-16
relative error = 9.5304193055863106262711999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.56
Order of pole = 3.618
x[1] = -1.173
y[1] (analytic) = 0.4208879979157626343211434348417
y[1] (numeric) = 0.42088799791576223194808004874815
absolute error = 4.0237306338609355e-16
relative error = 9.5600983011785786215794999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.559
Order of pole = 3.618
x[1] = -1.172
y[1] (analytic) = 0.42130381734962824151157068803969
y[1] (numeric) = 0.42130381734962783748894025715652
absolute error = 4.0402263043088317e-16
relative error = 9.5898165122865739818128000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.559
Order of pole = 3.617
x[1] = -1.171
y[1] (analytic) = 0.42172010352385101303494667981871
y[1] (numeric) = 0.42172010352385060735818715017771
absolute error = 4.0567675952964100e-16
relative error = 9.6195736494382545448100000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.558
Order of pole = 3.617
x[1] = -1.17
y[1] (analytic) = 0.42213685676896449829034573008569
y[1] (numeric) = 0.42213685676896409095489805044137
absolute error = 4.0733544767964432e-16
relative error = 9.6493694200830942964800000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.557
Order of pole = 3.617
x[1] = -1.169
y[1] (analytic) = 0.42255407741444230679031725782686
y[1] (numeric) = 0.4225540774144418977916255454708
absolute error = 4.0899869171235606e-16
relative error = 9.6792035285748506970966000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.556
Order of pole = 3.616
x[1] = -1.168
y[1] (analytic) = 0.42297176578869007336022305839041
y[1] (numeric) = 0.42297176578868966269373476649061
absolute error = 4.1066648829189980e-16
relative error = 9.7090756761542851275519999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.556
Order of pole = 3.616
x[1] = -1.167
y[1] (analytic) = 0.4233899222190373891406412409728
y[1] (numeric) = 0.42338992221903697680180732744686
absolute error = 4.1233883391352594e-16
relative error = 9.7389855609318386890065999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.555
Order of pole = 3.616
x[1] = -1.166
y[1] (analytic) = 0.42380854703172969829917153905226
y[1] (numeric) = 0.42380854703172928428344663698321
absolute error = 4.1401572490206905e-16
relative error = 9.7689328778702643934180000000001e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.554
Order of pole = 3.615
x[1] = -1.165
y[1] (analytic) = 0.42422764055192016035804812862582
y[1] (numeric) = 0.42422764055191974466089071822954
absolute error = 4.1569715741039628e-16
relative error = 9.7989173187672137112300000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.553
Order of pole = 3.615
x[1] = -1.164
y[1] (analytic) = 0.42464720310366147804404101072829
y[1] (numeric) = 0.42464720310366106066091359288146
absolute error = 4.1738312741784683e-16
relative error = 9.8289385722377782857967999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 3.615
x[1] = -1.163
y[1] (analytic) = 0.42506723500989769056720546772486
y[1] (numeric) = 0.42506723500989727149357473906227
absolute error = 4.1907363072866259e-16
relative error = 9.8589963236969902069370999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 3.614
memory used=164.0MB, alloc=4.6MB, time=30.41
x[1] = -1.162
y[1] (analytic) = 0.4254877365924559322351211193391
y[1] (numeric) = 0.42548773659245551146645814892932
absolute error = 4.2076866297040978e-16
relative error = 9.8890902553422776298632000000000e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.551
Order of pole = 3.614
x[1] = -1.161
y[1] (analytic) = 0.42590870817203815630934771655435
y[1] (numeric) = 0.42590870817203773384112812416273
absolute error = 4.2246821959239162e-16
relative error = 9.9192200461358772482201999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.55
Order of pole = 3.613
x[1] = -1.16
y[1] (analytic) = 0.42633015006821282401091405184175
y[1] (numeric) = 0.42633015006821239983861818778971
absolute error = 4.2417229586405204e-16
relative error = 9.9493853717872046502399999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.549
Order of pole = 3.613
x[1] = -1.159
y[1] (analytic) = 0.42675206259940655858174926523964
y[1] (numeric) = 0.42675206259940613270086239186925
absolute error = 4.2588088687337039e-16
relative error = 9.9795859047351824084958999999999e-14 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 3.612
x[1] = -1.158
y[1] (analytic) = 0.42717444608289576430906242043876
y[1] (numeric) = 0.42717444608289533671507489519162
absolute error = 4.2759398752524714e-16
relative error = 1.0009821314130526458429600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 3.612
x[1] = -1.157
y[1] (analytic) = 0.42759730083479821041977654620253
y[1] (numeric) = 0.42759730083479778110818400632197
absolute error = 4.2931159253988056e-16
relative error = 1.0040091265817991317634400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.547
Order of pole = 3.612
x[1] = -1.156
y[1] (analytic) = 0.42802062717006457975222741934379
y[1] (numeric) = 0.42802062717006414871853096820947
absolute error = 4.3103369645113432e-16
relative error = 1.0070395422318573526515200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.546
Order of pole = 3.611
x[1] = -1.155
y[1] (analytic) = 0.42844442540246998211244523944688
y[1] (numeric) = 0.42844442540246954935215163455079
absolute error = 4.3276029360489609e-16
relative error = 1.0100733442811675964622500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 3.611
x[1] = -1.154
y[1] (analytic) = 0.42886869584460543222244904611025
y[1] (numeric) = 0.42886869584460499773107088868327
absolute error = 4.3449137815742698e-16
relative error = 1.0131104983117230080976800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 3.61
x[1] = -1.153
y[1] (analytic) = 0.42929343880786929216809929042087
y[1] (numeric) = 0.42929343880786885594115521671889
absolute error = 4.3622694407370198e-16
relative error = 1.0161509695677780555298200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.544
Order of pole = 3.61
x[1] = -1.152
y[1] (analytic) = 0.4297186546024586782541734275735
y[1] (numeric) = 0.42971865460245824028718830183224
absolute error = 4.3796698512574126e-16
relative error = 1.0191947229540529891110400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.543
Order of pole = 3.609
x[1] = -1.151
y[1] (analytic) = 0.43014434353736083217445278111976
y[1] (numeric) = 0.43014434353736039246295789018746
absolute error = 4.3971149489093230e-16
relative error = 1.0222417230339343019723000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.542
Order of pole = 3.609
x[1] = -1.15
y[1] (analytic) = 0.43057050592034445640473627556512
y[1] (numeric) = 0.43057050592034401494426952522213
absolute error = 4.4146046675034299e-16
relative error = 1.0252919340276715942750000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.541
Order of pole = 3.608
x[1] = -1.149
y[1] (analytic) = 0.43099714205795101372682797740368
y[1] (numeric) = 0.43099714205795057051293409037818
absolute error = 4.4321389388702550e-16
relative error = 1.0283453198105704521255000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.541
Order of pole = 3.608
x[1] = -1.148
y[1] (analytic) = 0.43142425225548599079168075985891
y[1] (numeric) = 0.43142425225548554581991147554787
absolute error = 4.4497176928431104e-16
relative error = 1.0314018439111816968601600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.54
Order of pole = 3.607
x[1] = -1.147
y[1] (analytic) = 0.43185183681701012563001784843642
y[1] (numeric) = 0.431851836817009678895932124341
absolute error = 4.4673408572409542e-16
relative error = 1.0344614695094868714107800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.539
Order of pole = 3.607
x[1] = -1.146
y[1] (analytic) = 0.43227989604533059901889754793552
y[1] (numeric) = 0.43227989604533015051806176282007
absolute error = 4.4850083578511545e-16
relative error = 1.0375241594350801323322000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.538
Order of pole = 3.606
x[1] = -1.145
y[1] (analytic) = 0.43270843024199218961283413204098
y[1] (numeric) = 0.4327084302419917393408222908248
absolute error = 4.5027201184121618e-16
relative error = 1.0405898761653466223845000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.537
Order of pole = 3.606
x[1] = -1.144
y[1] (analytic) = 0.43313743970726839274823972944503
y[1] (numeric) = 0.43313743970726794070063366983617
absolute error = 4.5204760605960886e-16
relative error = 1.0436585818236371210009600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.537
Order of pole = 3.605
x[1] = -1.143
y[1] (analytic) = 0.43356692474015250283010810124135
y[1] (numeric) = 0.43356692474015204900249770212161
absolute error = 4.5382761039911974e-16
relative error = 1.0467302381774393252032600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.6MB, time=31.12
Complex estimate of poles used
Radius of convergence = 1.536
Order of pole = 3.605
x[1] = -1.142
y[1] (analytic) = 0.43399688563834865921002150888565
y[1] (numeric) = 0.43399688563834820359800490045602
absolute error = 4.5561201660842963e-16
relative error = 1.0498048066365456499793200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.535
Order of pole = 3.604
x[1] = -1.141
y[1] (analytic) = 0.43442732269826285546472645631985
y[1] (numeric) = 0.43442732269826239806391023201557
absolute error = 4.5740081622430428e-16
relative error = 1.0528822482512177603506800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.534
Order of pole = 3.603
x[1] = -1.14
y[1] (analytic) = 0.43485823621499391198469299008523
y[1] (numeric) = 0.43485823621499345279069242026979
absolute error = 4.5919400056981544e-16
relative error = 1.0559625237103475858240000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.534
Order of pole = 3.603
x[1] = -1.139
y[1] (analytic) = 0.43528962648232441178224549377296
y[1] (numeric) = 0.43528962648232395079068474122026
absolute error = 4.6099156075255270e-16
relative error = 1.0590455933396151213167000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.533
Order of pole = 3.602
x[1] = -1.138
y[1] (analytic) = 0.43572149379271159942903055453403
y[1] (numeric) = 0.4357214937927111366355428917079
absolute error = 4.6279348766282613e-16
relative error = 1.0621314170996431326997200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.532
Order of pole = 3.602
x[1] = -1.137
y[1] (analytic) = 0.43615383843727824303276954634331
y[1] (numeric) = 0.43615383843727777843299757448375
absolute error = 4.6459977197185956e-16
relative error = 1.0652199545841484715216400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.531
Order of pole = 3.601
x[1] = -1.136
y[1] (analytic) = 0.43658666070580345916343010422197
y[1] (numeric) = 0.43658666070580299275302597424728
absolute error = 4.6641040412997469e-16
relative error = 1.0683111650180905075462400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 3.601
x[1] = -1.135
y[1] (analytic) = 0.43701996088671350063914169279682
y[1] (numeric) = 0.43701996088671303241376732803097
absolute error = 4.6822537436476585e-16
relative error = 1.0714050072558163371162500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 3.6
x[1] = -1.134
y[1] (analytic) = 0.4374537392670725070823760387339
y[1] (numeric) = 0.43745373926707203703770335946838
absolute error = 4.7004467267926552e-16
relative error = 1.0745014397792030910371200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.529
Order of pole = 3.6
x[1] = -1.133
y[1] (analytic) = 0.43788799613257321815711333723638
y[1] (numeric) = 0.43788799613257274628882448713581
absolute error = 4.7186828885010057e-16
relative error = 1.0776004206957973206027300000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.528
Order of pole = 3.599
x[1] = -1.132
y[1] (analytic) = 0.43832273176752764939791989564412
y[1] (numeric) = 0.438322731767527175701707470005
absolute error = 4.7369621242563912e-16
relative error = 1.0807019077369513037068800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.527
Order of pole = 3.598
x[1] = -1.131
y[1] (analytic) = 0.43875794645485773054207228010658
y[1] (numeric) = 0.43875794645485725501363955597828
absolute error = 4.7552843272412830e-16
relative error = 1.0838058582559569803563000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.526
Order of pole = 3.598
x[1] = -1.13
y[1] (analytic) = 0.43919364047608590627607712240327
y[1] (numeric) = 0.43919364047608542891113829058077
absolute error = 4.7736493883182250e-16
relative error = 1.0869122292261766502500000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.526
Order of pole = 3.597
x[1] = -1.129
y[1] (analytic) = 0.43962981411132569930815456153301
y[1] (numeric) = 0.43962981411132522010243496043057
absolute error = 4.7920571960110244e-16
relative error = 1.0900209772391712552240400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.525
Order of pole = 3.597
x[1] = -1.128
y[1] (analytic) = 0.44006646763927223567847687714752
y[1] (numeric) = 0.4400664676392717546277132285626
absolute error = 4.8105076364858492e-16
relative error = 1.0931320585028259948492800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.524
Order of pole = 3.596
x[1] = -1.127
y[1] (analytic) = 0.44050360133719273221918225792455
y[1] (numeric) = 0.44050360133719224931912290470124
absolute error = 4.8290005935322331e-16
relative error = 1.0962454288394734795069900000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.523
Order of pole = 3.596
x[1] = -1.126
y[1] (analytic) = 0.4409412154809169460764168764077
y[1] (numeric) = 0.44094121548091646132282202200912
absolute error = 4.8475359485439858e-16
relative error = 1.0993610436840140340160800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.523
Order of pole = 3.595
x[1] = -1.125
y[1] (analytic) = 0.44137931034482758620689655172414
y[1] (numeric) = 0.44137931034482709959553850172287
absolute error = 4.8661135805000127e-16
relative error = 1.1024788580820341273437500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.522
Order of pole = 3.594
x[1] = -1.124
y[1] (analytic) = 0.44181788620185068676172231215671
y[1] (numeric) = 0.4418178862018501982883857176528
absolute error = 4.8847333659450391e-16
relative error = 1.1055988266879218818001600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.521
Order of pole = 3.594
x[1] = -1.123
y[1] (analytic) = 0.44225694332344594227043216021731
y[1] (numeric) = 0.44225694332344545193091426319298
absolute error = 4.9033951789702433e-16
relative error = 1.1087209037629807262685700000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.6MB, time=31.83
Complex estimate of poles used
Radius of convergence = 1.52
Order of pole = 3.593
x[1] = -1.122
y[1] (analytic) = 0.44269648197959700453852433325483
y[1] (numeric) = 0.44269648197959651232863521387525
absolute error = 4.9220988911937958e-16
relative error = 1.1118450431735406231887200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.519
Order of pole = 3.593
x[1] = -1.121
y[1] (analytic) = 0.4431365024388017411719453825398
y[1] (numeric) = 0.44313650243880124708750820840924
absolute error = 4.9408443717413056e-16
relative error = 1.1149711983890671610489600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.519
Order of pole = 3.592
x[1] = -1.12
y[1] (analytic) = 0.44357700496806245564229950319375
y[1] (numeric) = 0.44357700496806195967915078057638
absolute error = 4.9596314872261737e-16
relative error = 1.1180993224802685989280000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.518
Order of pole = 3.592
x[1] = -1.119
y[1] (analytic) = 0.44401798983287606880680377646181
y[1] (numeric) = 0.44401798983287557096079360347642
absolute error = 4.9784601017298539e-16
relative error = 1.1212293681172009489277900000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.517
Order of pole = 3.591
x[1] = -1.118
y[1] (analytic) = 0.44445945729722426179728737504022
y[1] (numeric) = 0.44445945729722376206427969683821
absolute error = 4.9973300767820201e-16
relative error = 1.1243612875673709791472400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.516
Order of pole = 3.591
x[1] = -1.117
y[1] (analytic) = 0.4449014076235635801928113720359
y[1] (numeric) = 0.4449014076235630785686842379717
absolute error = 5.0162412713406420e-16
relative error = 1.1274950326938376276338000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 3.59
x[1] = -1.116
y[1] (analytic) = 0.44534384107281549939076962541239
y[1] (numeric) = 0.44534384107281499587141544821575
absolute error = 5.0351935417719664e-16
relative error = 1.1306305549533112584678400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 3.589
x[1] = -1.115
y[1] (analytic) = 0.44578675790435645109162032341829
y[1] (numeric) = 0.44578675790435594567294614037754
absolute error = 5.0541867418304075e-16
relative error = 1.1337678053942515864187500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.514
Order of pole = 3.589
x[1] = -1.114
y[1] (analytic) = 0.44623015837600781081269221364072
y[1] (numeric) = 0.44623015837600730349061994980634
absolute error = 5.0732207226383438e-16
relative error = 1.1369067346549637902424800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.513
Order of pole = 3.588
x[1] = -1.113
y[1] (analytic) = 0.44667404274402584634680934031157
y[1] (numeric) = 0.44667404274402533711727607372936
absolute error = 5.0922953326658221e-16
relative error = 1.1400472929616929876994900000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 3.588
x[1] = -1.112
y[1] (analytic) = 0.44711841126309162708178332284095
y[1] (numeric) = 0.44711841126309111594074155182392
absolute error = 5.1114104177101703e-16
relative error = 1.1431894301267175123443200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 3.587
x[1] = -1.111
y[1] (analytic) = 0.4475632641863008940971328649733
y[1] (numeric) = 0.44756326418630038104055077742163
absolute error = 5.1305658208755167e-16
relative error = 1.1463330955464405348660700000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.511
Order of pole = 3.587
x[1] = -1.11
y[1] (analytic) = 0.44800860176515389095470633036154
y[1] (numeric) = 0.4480086017651533759785680751398
absolute error = 5.1497613825522174e-16
relative error = 1.1494782381994804458540000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.51
Order of pole = 3.586
x[1] = -1.109
y[1] (analytic) = 0.44845442424954515510020489882644
y[1] (numeric) = 0.44845442424954463820051085920719
absolute error = 5.1689969403961925e-16
relative error = 1.1526248066447602128092500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.509
Order of pole = 3.586
x[1] = -1.108
y[1] (analytic) = 0.44890073188775326979293107039482
y[1] (numeric) = 0.44890073188775275096569813957794
absolute error = 5.1882723293081688e-16
relative error = 1.1557727490195952541683200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.508
Order of pole = 3.585
x[1] = -1.107
y[1] (analytic) = 0.44934752492643057648142015386558
y[1] (numeric) = 0.4493475249264300557226820125824
absolute error = 5.2075873814128318e-16
relative error = 1.1589220130377805116478200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.508
Order of pole = 3.585
x[1] = -1.106
y[1] (analytic) = 0.44979480361059284754295090579678
y[1] (numeric) = 0.4497948036105923248487583020082
absolute error = 5.2269419260378858e-16
relative error = 1.1620725459876765074448800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.507
Order of pole = 3.584
x[1] = -1.105
y[1] (analytic) = 0.45024256818360891930527571729269
y[1] (numeric) = 0.45024256818360839467169674799049
absolute error = 5.2463357896930220e-16
relative error = 1.1652242947302944187550000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.506
Order of pole = 3.584
x[1] = -1.104
y[1] (analytic) = 0.45069081888719028526926072283596
y[1] (numeric) = 0.45069081888718975869238111795638
absolute error = 5.2657687960487958e-16
relative error = 1.1683772056973804901772800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.505
Order of pole = 3.583
x[1] = -1.103
y[1] (analytic) = 0.45113955596138064945148197088436
y[1] (numeric) = 0.45113955596138012092740537934312
absolute error = 5.2852407659154124e-16
relative error = 1.1715312248894996364551600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.6MB, time=32.56
Complex estimate of poles used
Radius of convergence = 1.505
Order of pole = 3.583
x[1] = -1.102
y[1] (analytic) = 0.45158877964454543976618539345124
y[1] (numeric) = 0.45158877964454490929103367130913
absolute error = 5.3047515172214211e-16
relative error = 1.1746862978741183769524400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.504
Order of pole = 3.582
x[1] = -1.101
y[1] (analytic) = 0.45203849017336128136638578501682
y[1] (numeric) = 0.45203849017336074893629928578483
absolute error = 5.3243008649923199e-16
relative error = 1.1778423697836875075099900000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.503
Order of pole = 3.582
x[1] = -1.1
y[1] (analytic) = 0.45248868778280542986425339366516
y[1] (numeric) = 0.45248868778280489547539126075835
absolute error = 5.3438886213290681e-16
relative error = 1.1809993853137240501000000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.502
Order of pole = 3.581
x[1] = -1.099
y[1] (analytic) = 0.4529393727061451643513160832883
y[1] (numeric) = 0.45293937270614462799985654463744
absolute error = 5.3635145953865086e-16
relative error = 1.1841572887208929073588600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.502
Order of pole = 3.581
x[1] = -1.098
y[1] (analytic) = 0.45339054517492714013939038920858
y[1] (numeric) = 0.45339054517492660182153105403847
absolute error = 5.3831785933517011e-16
relative error = 1.1873160238210885352964400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.501
Order of pole = 3.58
x[1] = -1.097
y[1] (analytic) = 0.45384220541896670114354620499417
y[1] (numeric) = 0.45384220541896616085550436277785
absolute error = 5.4028804184221632e-16
relative error = 1.1904755339875160194348800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.5
Order of pole = 3.58
x[1] = -1.096
y[1] (analytic) = 0.45429435366633715182880735011921
y[1] (numeric) = 0.45429435366633660956682027171683
absolute error = 5.4226198707840238e-16
relative error = 1.1936357621487725732940800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.499
Order of pole = 3.58
x[1] = -1.095
y[1] (analytic) = 0.45474699014335898864269392116961
y[1] (numeric) = 0.45474699014335844440301916216111
absolute error = 5.4423967475900850e-16
relative error = 1.1967966507869286667125000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.498
Order of pole = 3.579
x[1] = -1.094
y[1] (analytic) = 0.45520011507458909085612216842768
y[1] (numeric) = 0.45520011507458854463503787464806
absolute error = 5.4622108429377962e-16
relative error = 1.1999581419356096452823200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.498
Order of pole = 3.579
x[1] = -1.093
y[1] (analytic) = 0.45565372868280987073559370997367
y[1] (numeric) = 0.45565372868280932252939892525989
absolute error = 5.4820619478471378e-16
relative error = 1.2031201771780773125632200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.497
Order of pole = 3.578
x[1] = -1.092
y[1] (analytic) = 0.45610783118901838297002824219691
y[1] (numeric) = 0.45610783118901783277504321835524
absolute error = 5.5019498502384167e-16
relative error = 1.2062826976453120031748800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.496
Order of pole = 3.578
x[1] = -1.091
y[1] (analytic) = 0.45656242281241539327602257427243
y[1] (numeric) = 0.4565624228124148410885890832751
absolute error = 5.5218743349099733e-16
relative error = 1.2094456440140951229497300000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.495
Order of pole = 3.578
x[1] = -1.09
y[1] (analytic) = 0.45701750377039440610575385037247
y[1] (numeric) = 0.45701750377039385192223549879247
absolute error = 5.5418351835158000e-16
relative error = 1.2126089565050921980000000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.495
Order of pole = 3.577
x[1] = -1.089
y[1] (analytic) = 0.45747307427853065138218627297144
y[1] (numeric) = 0.45747307427853009519896881866432
absolute error = 5.5618321745430712e-16
relative error = 1.2157725748809364740575200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.494
Order of pole = 3.577
x[1] = -1.088
y[1] (analytic) = 0.45792913455057003018668854957358
y[1] (numeric) = 0.45792913455056947200018022061491
absolute error = 5.5818650832895867e-16
relative error = 1.2189364384443135218604800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.493
Order of pole = 3.576
x[1] = -1.087
y[1] (analytic) = 0.45838568479841801932462369973171
y[1] (numeric) = 0.45838568479841745913125551561905
absolute error = 5.6019336818411266e-16
relative error = 1.2221004860360464715635400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.492
Order of pole = 3.576
x[1] = -1.086
y[1] (analytic) = 0.45884272523212853469493382570217
y[1] (numeric) = 0.45884272523212797249115992083017
absolute error = 5.6220377390487200e-16
relative error = 1.2252646560331824173120000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.492
Order of pole = 3.576
x[1] = -1.085
y[1] (analytic) = 0.45930025605989275339021001504208
y[1] (numeric) = 0.45930025605989218917250796445946
absolute error = 5.6421770205058262e-16
relative error = 1.2284288863470797448295000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.491
Order of pole = 3.575
x[1] = -1.084
y[1] (analytic) = 0.45975827748802789445421175362841
y[1] (numeric) = 0.45975827748802732821908290108539
absolute error = 5.6623512885254302e-16
relative error = 1.2315931144214968109091200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.49
Order of pole = 3.575
memory used=179.2MB, alloc=4.6MB, time=33.27
x[1] = -1.083
y[1] (analytic) = 0.46021678972096595822428112986904
y[1] (numeric) = 0.46021678972096538996825091816388
absolute error = 5.6825603021170516e-16
relative error = 1.2347572772306818134072400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 3.575
x[1] = -1.082
y[1] (analytic) = 0.46067579296124242418658475236833
y[1] (numeric) = 0.46067579296124185390620305600153
absolute error = 5.7028038169636680e-16
relative error = 1.2379213112774641255632000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 3.575
x[1] = -1.081
y[1] (analytic) = 0.46113528740948490727261073126373
y[1] (numeric) = 0.46113528740948433496445219140837
absolute error = 5.7230815853985536e-16
relative error = 1.2410851525913472793369600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.488
Order of pole = 3.574
x[1] = -1.08
y[1] (analytic) = 0.46159527326440177252584933530281
y[1] (numeric) = 0.46159527326440119818651369709962
absolute error = 5.7433933563820319e-16
relative error = 1.2442487367266033908160000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.487
Order of pole = 3.574
x[1] = -1.079
y[1] (analytic) = 0.46205575072277070806809408009552
y[1] (numeric) = 0.46205575072277013169420653228105
absolute error = 5.7637388754781447e-16
relative error = 1.2474119987603695363672700000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.486
Order of pole = 3.574
x[1] = -1.078
y[1] (analytic) = 0.46251671997942725629531507563998
y[1] (numeric) = 0.4625167199794266778835265925163
absolute error = 5.7841178848312368e-16
relative error = 1.2505748732907459785491200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.486
Order of pole = 3.574
x[1] = -1.077
y[1] (analytic) = 0.46297818122725330323357851114551
y[1] (numeric) = 0.46297818122725272278056619689978
absolute error = 5.8045301231424573e-16
relative error = 1.2537372944348964653531700000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.485
Order of pole = 3.573
x[1] = -1.076
y[1] (analytic) = 0.46344013465716552598601523049659
y[1] (numeric) = 0.46344013465716494348848266587897
absolute error = 5.8249753256461762e-16
relative error = 1.2568991958271503496131200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.484
Order of pole = 3.573
x[1] = -1.075
y[1] (analytic) = 0.46390258045810379820237750072485
y[1] (numeric) = 0.46390258045810321365705509209279
absolute error = 5.8454532240863206e-16
relative error = 1.2600605106171074843375000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 3.573
x[1] = -1.074
y[1] (analytic) = 0.46436551881701955350326634705936
y[1] (numeric) = 0.4643655188170189669069116777967
absolute error = 5.8659635466926266e-16
relative error = 1.2632211714677450760061600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 3.573
x[1] = -1.073
y[1] (analytic) = 0.46482894991886410679166227015952
y[1] (numeric) = 0.46482894991886351814106045447849
absolute error = 5.8865060181568103e-16
relative error = 1.2663811105535272545888700000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.482
Order of pole = 3.573
x[1] = -1.072
y[1] (analytic) = 0.46529287394657693338494982281647
y[1] (numeric) = 0.46529287394657634267691386195079
absolute error = 5.9070803596086568e-16
relative error = 1.2695402595585171456051200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.481
Order of pole = 3.572
x[1] = -1.071
y[1] (analytic) = 0.46575729108107390590119145372631
y[1] (numeric) = 0.4657572910810733131325625945234
absolute error = 5.9276862885920291e-16
relative error = 1.2726985496744918750893100000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.48
Order of pole = 3.572
x[1] = -1.07
y[1] (analytic) = 0.46622220150123548883397827404541
y[1] (numeric) = 0.46622220150123489400162636996584
absolute error = 5.9483235190407957e-16
relative error = 1.2758559115990602696930000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.48
Order of pole = 3.572
x[1] = -1.069
y[1] (analytic) = 0.46668760538389489075076501765713
y[1] (numeric) = 0.46668760538389429385158889218923
absolute error = 5.9689917612546790e-16
relative error = 1.2790122755337837228719000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.479
Order of pole = 3.572
x[1] = -1.068
y[1] (analytic) = 0.46715350290382617405018349789594
y[1] (numeric) = 0.46715350290382557508111131039354
absolute error = 5.9896907218750240e-16
relative error = 1.2821675711823001374976000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.478
Order of pole = 3.572
x[1] = -1.067
y[1] (analytic) = 0.46761989423373232221442336154172
y[1] (numeric) = 0.46761989423373172117241297549287
absolute error = 6.0104201038604885e-16
relative error = 1.2853217277484512191876500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 3.572
x[1] = -1.066
y[1] (analytic) = 0.46808677954423326449337095502809
y[1] (numeric) = 0.46808677954423266137541030876262
absolute error = 6.0311796064626547e-16
relative error = 1.2884746739344131144273200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 3.572
x[1] = -1.065
y[1] (analytic) = 0.4685541590038538579578066979817
y[1] (numeric) = 0.46855415900385325276091417782537
absolute error = 6.0519689252015633e-16
relative error = 1.2916263379388306433942500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.476
Order of pole = 3.572
x[1] = -1.064
y[1] (analytic) = 0.46902203277901182685957855556223
y[1] (numeric) = 0.46902203277901121958080337144516
absolute error = 6.0727877518411707e-16
relative error = 1.2947766474549552684787200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.6MB, time=33.98
Complex estimate of poles used
Radius of convergence = 1.475
Order of pole = 3.572
x[1] = -1.063
y[1] (analytic) = 0.46949040103400565923729406390422
y[1] (numeric) = 0.46949040103400504987371662743131
absolute error = 6.0936357743647291e-16
relative error = 1.2979255296687867676397900000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.474
Order of pole = 3.572
x[1] = -1.062
y[1] (analytic) = 0.46995926393100246070670594272888
y[1] (numeric) = 0.46995926393100184925543824771972
absolute error = 6.1145126769500916e-16
relative error = 1.3010729112572190710510400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.474
Order of pole = 3.572
x[1] = -1.061
y[1] (analytic) = 0.47042862163002576537560667651117
y[1] (numeric) = 0.47042862163002515183379268201701
absolute error = 6.1354181399449416e-16
relative error = 1.3042187183861901202893600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.473
Order of pole = 3.572
x[1] = -1.06
y[1] (analytic) = 0.47089847428894330382369561122622
y[1] (numeric) = 0.47089847428894268818851162703153
absolute error = 6.1563518398419469e-16
relative error = 1.3073628767088358436840000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.472
Order of pole = 3.572
x[1] = -1.059
y[1] (analytic) = 0.47136882206345472808853814858582
y[1] (numeric) = 0.47136882206345411035719322320171
absolute error = 6.1773134492538411e-16
relative error = 1.3105053113636488070669100000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.471
Order of pole = 3.572
x[1] = -1.058
y[1] (analytic) = 0.47183966510707929359940057488945
y[1] (numeric) = 0.47183966510707867376913688604638
absolute error = 6.1983026368884307e-16
relative error = 1.3136459469726412042074800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.471
Order of pole = 3.572
x[1] = -1.057
y[1] (analytic) = 0.47231100357114349800141598838871
y[1] (numeric) = 0.47231100357114287606950923603572
absolute error = 6.2193190675235299e-16
relative error = 1.3167847076395126157245100000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.47
Order of pole = 3.572
x[1] = -1.056
y[1] (analytic) = 0.47278283760476867681321673878181
y[1] (numeric) = 0.47278283760476805277697654059945
absolute error = 6.2403624019818236e-16
relative error = 1.3199215169478226442009600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.469
Order of pole = 3.572
x[1] = -1.055
y[1] (analytic) = 0.47325516735485855586185681664912
y[1] (numeric) = 0.4732551673548579297186271060832
absolute error = 6.2614322971056592e-16
relative error = 1.3230562979591685531080000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.468
Order of pole = 3.572
x[1] = -1.054
y[1] (analytic) = 0.47372799296608676043954378099365
y[1] (numeric) = 0.47372799296608613218670320781695
absolute error = 6.2825284057317670e-16
relative error = 1.3261889732113678668572000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.468
Order of pole = 3.572
x[1] = -1.053
y[1] (analytic) = 0.47420131458088428112740414138976
y[1] (numeric) = 0.47420131458088365076236647479851
absolute error = 6.3036503766659125e-16
relative error = 1.3293194647166466273212500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.467
Order of pole = 3.572
x[1] = -1.052
y[1] (analytic) = 0.47467513233942689623221866954256
y[1] (numeric) = 0.47467513233942626375243320379478
absolute error = 6.3247978546574778e-16
relative error = 1.3324476939598327111171200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.466
Order of pole = 3.572
x[1] = -1.051
y[1] (analytic) = 0.47514944637962255078278495543811
y[1] (numeric) = 0.47514944637962191618573691804049
absolute error = 6.3459704803739762e-16
relative error = 1.3355735818965550684496200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.466
Order of pole = 3.572
x[1] = -1.05
y[1] (analytic) = 0.4756242568370986920332936979786
y[1] (numeric) = 0.47562425683709805531650466042876
absolute error = 6.3671678903754984e-16
relative error = 1.3386970489514485386000000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.465
Order of pole = 3.572
x[1] = -1.049
y[1] (analytic) = 0.47609956384518956142184278144983
y[1] (numeric) = 0.47609956384518892258287107254057
absolute error = 6.3883897170890926e-16
relative error = 1.3418180150163647186132600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.464
Order of pole = 3.573
x[1] = -1.048
y[1] (analytic) = 0.47657536753492344293295918989813
y[1] (numeric) = 0.47657536753492280196940031159028
absolute error = 6.4096355887830785e-16
relative error = 1.3449363994485888748864000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.463
Order of pole = 3.573
x[1] = -1.047
y[1] (analytic) = 0.47705166803500986781375330417912
y[1] (numeric) = 0.47705166803500922472324035004954
absolute error = 6.4309051295412958e-16
relative error = 1.3480521210690630127622200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.463
Order of pole = 3.573
x[1] = -1.046
y[1] (analytic) = 0.4775284654718267755940931638935
y[1] (numeric) = 0.47752846547182613037429724016456
absolute error = 6.4521979592372894e-16
relative error = 1.3511650981606155529170400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.462
Order of pole = 3.573
x[1] = -1.045
y[1] (analytic) = 0.47800575996940763136195791159283
y[1] (numeric) = 0.47800575996940698401058856074976
absolute error = 6.4735136935084307e-16
relative error = 1.3542752484661974735167500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.461
Order of pole = 3.573
x[1] = -1.044
y[1] (analytic) = 0.4784835516494284992459099226005
y[1] (numeric) = 0.47848355164942784976071554960287
absolute error = 6.4948519437299763e-16
relative error = 1.3573824891871251748516800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.6MB, time=34.70
Complex estimate of poles used
Radius of convergence = 1.46
Order of pole = 3.574
x[1] = -1.043
y[1] (analytic) = 0.47896184063119507205741411376014
y[1] (numeric) = 0.47896184063119442043618241485362
absolute error = 6.5162123169890652e-16
relative error = 1.3604867369813302788754800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.46
Order of pole = 3.574
x[1] = -1.042
y[1] (analytic) = 0.47944062703162965704653067173467
y[1] (numeric) = 0.47944062703162900328708906586909
absolute error = 6.5375944160586558e-16
relative error = 1.3635879079616166156031200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.459
Order of pole = 3.574
x[1] = -1.041
y[1] (analytic) = 0.47991991096525811772531399959975
y[1] (numeric) = 0.47991991096525746182553006245947
absolute error = 6.5589978393714028e-16
relative error = 1.3666859176939243957706800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 3.574
x[1] = -1.04
y[1] (analytic) = 0.48039969254419677171406610299769
y[1] (numeric) = 0.48039969254419611367184800365024
absolute error = 6.5804221809934745e-16
relative error = 1.3697806811956016519200000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 3.575
x[1] = -1.039
y[1] (analytic) = 0.48087997187813924456641697775594
y[1] (numeric) = 0.48087997187813858437971391792453
absolute error = 6.6018670305983141e-16
relative error = 1.3728721129336836735546100000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.457
Order of pole = 3.575
x[1] = -1.038
y[1] (analytic) = 0.48136074907434327953003787346374
y[1] (numeric) = 0.48136074907434261719684052942954
absolute error = 6.6233319734403420e-16
relative error = 1.3759601268231797845848000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.456
Order of pole = 3.575
x[1] = -1.037
y[1] (analytic) = 0.48184202423761750320063564599837
y[1] (numeric) = 0.48184202423761683871897661313797
absolute error = 6.6448165903286040e-16
relative error = 1.3790446362253684554876000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 3.576
x[1] = -1.036
y[1] (analytic) = 0.48232379747030814702772783046897
y[1] (numeric) = 0.48232379747030748039568207043262
absolute error = 6.6663204576003635e-16
relative error = 1.3821255539461003243096000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 3.576
x[1] = -1.035
y[1] (analytic) = 0.48280606887228572463155861869184
y[1] (numeric) = 0.48280606887228505584724390922785
absolute error = 6.6878431470946399e-16
relative error = 1.3852027922341095526877500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.454
Order of pole = 3.576
x[1] = -1.034
y[1] (analytic) = 0.48328883854093166489138566642631
y[1] (numeric) = 0.48328883854093099395296305385684
absolute error = 6.7093842261256947e-16
relative error = 1.3882762627793337942673200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 3.577
x[1] = -1.033
y[1] (analytic) = 0.483772106571124900766246639598
y[1] (numeric) = 0.48377210657112422767192089395143
absolute error = 6.7309432574564657e-16
relative error = 1.3913458767112428227347300000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 3.577
x[1] = -1.032
y[1] (analytic) = 0.48425587305522841381020269013823
y[1] (numeric) = 0.48425587305522773855822276294321
absolute error = 6.7525197992719502e-16
relative error = 1.3944115445971759689804800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.452
Order of pole = 3.578
x[1] = -1.031
y[1] (analytic) = 0.48474013808307573434495368550351
y[1] (numeric) = 0.48474013808307505693361317024965
absolute error = 6.7741134051525386e-16
relative error = 1.3974731764406886182794600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 3.578
x[1] = -1.03
y[1] (analytic) = 0.48522490174195739725362705614052
y[1] (numeric) = 0.48522490174195671768126465141051
absolute error = 6.7957236240473001e-16
relative error = 1.4005306816799080776090000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 3.578
x[1] = -1.029
y[1] (analytic) = 0.48571016411660735336045862696537
y[1] (numeric) = 0.48571016411660667162545860224331
absolute error = 6.8173500002472206e-16
relative error = 1.4035839691858987907324600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.45
Order of pole = 3.579
x[1] = -1.028
y[1] (analytic) = 0.48619592528918933636200981726812
y[1] (numeric) = 0.48619592528918865246280248142873
absolute error = 6.8389920733583939e-16
relative error = 1.4066329472610370839217600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.449
Order of pole = 3.579
x[1] = -1.027
y[1] (analytic) = 0.48668218533928318527650118336773
y[1] (numeric) = 0.48668218533928249921156335585079
absolute error = 6.8606493782751694e-16
relative error = 1.4096775236373960546092600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 3.58
x[1] = -1.026
y[1] (analytic) = 0.4871689443438711223787874949578
y[1] (numeric) = 0.48716894434387043414664297963237
absolute error = 6.8823214451532543e-16
relative error = 1.4127176054751401423506800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 3.58
x[1] = -1.025
y[1] (analytic) = 0.48765620237732398658945443462359
y[1] (numeric) = 0.4876562023773232961886744963462
absolute error = 6.9040077993827739e-16
relative error = 1.4157530993609300728687500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.447
Order of pole = 3.581
x[1] = -1.024
y[1] (analytic) = 0.48814395951138742228748164578712
y[1] (numeric) = 0.48814395951138672971668548965805
absolute error = 6.9257079615612907e-16
relative error = 1.4187839113063382657043200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.6MB, time=35.42
Complex estimate of poles used
Radius of convergence = 1.446
Order of pole = 3.581
x[1] = -1.023
y[1] (analytic) = 0.48863221581516802351689128275241
y[1] (numeric) = 0.48863221581516732877474653607409
absolute error = 6.9474214474667832e-16
relative error = 1.4218099467462748355512800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.446
Order of pole = 3.582
x[1] = -1.022
y[1] (analytic) = 0.48912097135511943355878549306329
y[1] (numeric) = 0.48912097135511873664400869000478
absolute error = 6.9691477680305851e-16
relative error = 1.4248311105374242747588400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.445
Order of pole = 3.582
x[1] = -1.021
y[1] (analytic) = 0.48961022619502839984117044262233
y[1] (numeric) = 0.48961022619502770075252751159352
absolute error = 6.9908864293102881e-16
relative error = 1.4278473069566934137252100000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.444
Order of pole = 3.583
x[1] = -1.02
y[1] (analytic) = 0.49009998039600078415996863360125
y[1] (numeric) = 0.4900999803960000828962753873405
absolute error = 7.0126369324626075e-16
relative error = 1.4308584396996704343000000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.444
Order of pole = 3.583
x[1] = -1.019
y[1] (analytic) = 0.49059023401644752818563541982995
y[1] (numeric) = 0.49059023401644682474575804820864
absolute error = 7.0343987737162131e-16
relative error = 1.4338644118790953850729100000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.443
Order of pole = 3.584
x[1] = -1.018
y[1] (analytic) = 0.49108098711207057423081984988636
y[1] (numeric) = 0.49108098711206986861367541543374
absolute error = 7.0561714443445262e-16
relative error = 1.4368651260233422969688800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.442
Order of pole = 3.584
x[1] = -1.017
y[1] (analytic) = 0.49157223973584874125554432039892
y[1] (numeric) = 0.49157223973584803346010125655042
absolute error = 7.0779544306384850e-16
relative error = 1.4398604840749133012165000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.441
Order of pole = 3.585
x[1] = -1.016
y[1] (analytic) = 0.49206399193802355608742205706368
y[1] (numeric) = 0.49206399193802284611270066913587
absolute error = 7.0997472138792781e-16
relative error = 1.4428503873889446194393600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.441
Order of pole = 3.585
x[1] = -1.015
y[1] (analytic) = 0.49255624376608503983548621458213
y[1] (numeric) = 0.4925562437660843276805591834772
absolute error = 7.1215492703110493e-16
relative error = 1.4458347367317250065092500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.44
Order of pole = 3.586
x[1] = -1.014
y[1] (analytic) = 0.4930489952647574494772694552203
y[1] (numeric) = 0.4930489952647567351412623438629
absolute error = 7.1433600711135740e-16
relative error = 1.4488134322792266332504000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.439
Order of pole = 3.587
x[1] = -1.013
y[1] (analytic) = 0.49354224647598497459984828511343
y[1] (numeric) = 0.49354224647598425808194004762252
absolute error = 7.1651790823749091e-16
relative error = 1.4517863736156487196237900000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.439
Order of pole = 3.587
x[1] = -1.012
y[1] (analytic) = 0.49403599743891738927665225398983
y[1] (numeric) = 0.49403599743891667057607574758808
absolute error = 7.1870057650640175e-16
relative error = 1.4547534597319740638520000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.438
Order of pole = 3.588
x[1] = -1.011
y[1] (analytic) = 0.49453024818989565906293441391489
y[1] (numeric) = 0.49453024818989493817897691357798
absolute error = 7.2088395750033691e-16
relative error = 1.4577145890245387727861100000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 3.588
x[1] = -1.01
y[1] (analytic) = 0.49502499876243750309390624226523
y[1] (numeric) = 0.49502499876243678002590995811325
absolute error = 7.2306799628415198e-16
relative error = 1.4606696592936154147980000000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 3.589
x[1] = -1.009
y[1] (analytic) = 0.4955202491872229112706576197883
y[1] (numeric) = 0.49552024918722218601802021722137
absolute error = 7.2525263740256693e-16
relative error = 1.4636185677420096726613300000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.436
Order of pole = 3.59
x[1] = -1.008
y[1] (analytic) = 0.49601599949207961652011047268341
y[1] (numeric) = 0.49601599949207888908228559526335
absolute error = 7.2743782487742006e-16
relative error = 1.4665612109736709958438400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.435
Order of pole = 3.59
x[1] = -1.007
y[1] (analytic) = 0.49651224970196852211639339459963
y[1] (numeric) = 0.49651224970196779249289118967952
absolute error = 7.2962350220492011e-16
relative error = 1.4694974849923171426253900000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.434
Order of pole = 3.591
x[1] = -1.006
y[1] (analytic) = 0.4970089998389690840521740167671
y[1] (numeric) = 0.49700899983896835224256166387021
absolute error = 7.3180961235289689e-16
relative error = 1.4724272852000732469680400000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.434
Order of pole = 3.591
x[1] = -1.005
y[1] (analytic) = 0.49750624992226464844964614867974
y[1] (numeric) = 0.49750624992226391445354839062943
absolute error = 7.3399609775805031e-16
relative error = 1.4753505063961250743577500000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.433
Order of pole = 3.592
memory used=194.5MB, alloc=4.6MB, time=36.13
x[1] = -1.004
y[1] (analytic) = 0.49800399996812774400203982438387
y[1] (numeric) = 0.49800399996812700781913950118549
absolute error = 7.3618290032319838e-16
relative error = 1.4782670427753875182140800000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 3.593
x[1] = -1.003
y[1] (analytic) = 0.49850224998990532943770441707889
y[1] (numeric) = 0.49850224998990459106774300255502
absolute error = 7.3836996141452387e-16
relative error = 1.4811767879271876139348300000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 3.593
x[1] = -1.002
y[1] (analytic) = 0.499000999998003996000007984016
y[1] (numeric) = 0.49900099999800325544278612519582
absolute error = 7.4055722185882018e-16
relative error = 1.4840796348339630760007200000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.431
Order of pole = 3.594
x[1] = -1.001
y[1] (analytic) = 0.49950024999987512493750003121877
y[1] (numeric) = 0.49950024999987438219287809048231
absolute error = 7.4274462194073646e-16
relative error = 1.4869754758699763336564600000000e-13 %
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.43
Order of pole = 3.595
x[1] = -1
y[1] (analytic) = 0.5
y[1] (numeric) = 0.49999999999999925506789859997798
absolute error = 7.4493210140002202e-16
relative error = 1.4898642028000440400000000000000e-13 %
h = 0.001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);
Iterations = 1000
Total Elapsed Time = 36 Seconds
Elapsed Time(since restart) = 36 Seconds
Expected Time Remaining = 1 Minutes 12 Seconds
Optimized Time Remaining = 1 Minutes 12 Seconds
Time to Timeout = 14 Minutes 23 Seconds
Percent Done = 33.37 %
> quit
memory used=195.4MB, alloc=4.6MB, time=36.28