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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> glob_iolevel,
> DEBUGMASSIVE,
> glob_max_terms,
> INFO,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_start,
> glob_h,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_last_good_h,
> glob_reached_optimal_h,
> glob_optimal_expect_sec,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_log10_abserr,
> glob_log10normmin,
> glob_log10relerr,
> glob_initial_pass,
> glob_iter,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_hmin,
> glob_clock_sec,
> min_in_hour,
> glob_display_flag,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_small_float,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_max_iter,
> glob_clock_start_sec,
> days_in_year,
> sec_in_min,
> glob_orig_start_sec,
> glob_warned2,
> glob_no_eqs,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> hours_in_day,
> glob_log10abserr,
> glob_normmax,
> glob_not_yet_start_msg,
> glob_almost_1,
> years_in_century,
> glob_warned,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_optimal_done,
> djd_debug2,
> glob_subiter_method,
> glob_max_rel_trunc_err,
> glob_large_float,
> djd_debug,
> glob_percent_done,
> glob_smallish_float,
> glob_max_hours,
> glob_look_poles,
> glob_hmin_init,
> glob_dump,
> glob_max_opt_iter,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_last_rel_error,
> array_norms,
> array_y,
> array_x,
> array_m1,
> array_pole,
> array_1st_rel_error,
> array_type_pole,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_poles,
> array_y_higher,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_iolevel, DEBUGMASSIVE, glob_max_terms, INFO, ALWAYS, DEBUGL,
glob_start, glob_h, glob_not_yet_finished, glob_max_minutes,
glob_curr_iter_when_opt, glob_last_good_h, glob_reached_optimal_h,
glob_optimal_expect_sec, glob_optimal_clock_start_sec, glob_abserr,
glob_log10_abserr, glob_log10normmin, glob_log10relerr, glob_initial_pass,
glob_iter, glob_max_sec, glob_unchanged_h_cnt, glob_hmin, glob_clock_sec,
min_in_hour, glob_display_flag, MAX_UNCHANGED, glob_current_iter,
glob_small_float, glob_optimal_start, glob_max_trunc_err, glob_max_iter,
glob_clock_start_sec, days_in_year, sec_in_min, glob_orig_start_sec,
glob_warned2, glob_no_eqs, glob_dump_analytic, glob_hmax,
centuries_in_millinium, hours_in_day, glob_log10abserr, glob_normmax,
glob_not_yet_start_msg, glob_almost_1, years_in_century, glob_warned,
glob_relerr, glob_log10_relerr, glob_disp_incr, glob_optimal_done,
djd_debug2, glob_subiter_method, glob_max_rel_trunc_err, glob_large_float,
djd_debug, glob_percent_done, glob_smallish_float, glob_max_hours,
glob_look_poles, glob_hmin_init, glob_dump, glob_max_opt_iter,
glob_html_log, array_const_1D0, array_const_0D0, array_const_1, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y_init,
array_last_rel_error, array_norms, array_y, array_x, array_m1, array_pole,
array_1st_rel_error, array_type_pole, array_y_set_initial,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_poles, array_y_higher, glob_last;
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> glob_iolevel,
> DEBUGMASSIVE,
> glob_max_terms,
> INFO,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_start,
> glob_h,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_last_good_h,
> glob_reached_optimal_h,
> glob_optimal_expect_sec,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_log10_abserr,
> glob_log10normmin,
> glob_log10relerr,
> glob_initial_pass,
> glob_iter,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_hmin,
> glob_clock_sec,
> min_in_hour,
> glob_display_flag,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_small_float,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_max_iter,
> glob_clock_start_sec,
> days_in_year,
> sec_in_min,
> glob_orig_start_sec,
> glob_warned2,
> glob_no_eqs,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> hours_in_day,
> glob_log10abserr,
> glob_normmax,
> glob_not_yet_start_msg,
> glob_almost_1,
> years_in_century,
> glob_warned,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_optimal_done,
> djd_debug2,
> glob_subiter_method,
> glob_max_rel_trunc_err,
> glob_large_float,
> djd_debug,
> glob_percent_done,
> glob_smallish_float,
> glob_max_hours,
> glob_look_poles,
> glob_hmin_init,
> glob_dump,
> glob_max_opt_iter,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_last_rel_error,
> array_norms,
> array_y,
> array_x,
> array_m1,
> array_pole,
> array_1st_rel_error,
> array_type_pole,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_poles,
> array_y_higher,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> newline();
> return(hnew);
> fi;# end if 2
> fi;# end if 1
> ;
> if (not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1
> ;
> hnew := sz2;
> #END block
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_iolevel, DEBUGMASSIVE, glob_max_terms, INFO, ALWAYS, DEBUGL,
glob_start, glob_h, glob_not_yet_finished, glob_max_minutes,
glob_curr_iter_when_opt, glob_last_good_h, glob_reached_optimal_h,
glob_optimal_expect_sec, glob_optimal_clock_start_sec, glob_abserr,
glob_log10_abserr, glob_log10normmin, glob_log10relerr, glob_initial_pass,
glob_iter, glob_max_sec, glob_unchanged_h_cnt, glob_hmin, glob_clock_sec,
min_in_hour, glob_display_flag, MAX_UNCHANGED, glob_current_iter,
glob_small_float, glob_optimal_start, glob_max_trunc_err, glob_max_iter,
glob_clock_start_sec, days_in_year, sec_in_min, glob_orig_start_sec,
glob_warned2, glob_no_eqs, glob_dump_analytic, glob_hmax,
centuries_in_millinium, hours_in_day, glob_log10abserr, glob_normmax,
glob_not_yet_start_msg, glob_almost_1, years_in_century, glob_warned,
glob_relerr, glob_log10_relerr, glob_disp_incr, glob_optimal_done,
djd_debug2, glob_subiter_method, glob_max_rel_trunc_err, glob_large_float,
djd_debug, glob_percent_done, glob_smallish_float, glob_max_hours,
glob_look_poles, glob_hmin_init, glob_dump, glob_max_opt_iter,
glob_html_log, array_const_1D0, array_const_0D0, array_const_1, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y_init,
array_last_rel_error, array_norms, array_y, array_x, array_m1, array_pole,
array_1st_rel_error, array_type_pole, array_y_set_initial,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_poles, array_y_higher, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < abs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
newline();
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2
end proc
> # Begin Function number 5
> prog_report := proc(x_start,x_end)
> global
> glob_iolevel,
> DEBUGMASSIVE,
> glob_max_terms,
> INFO,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_start,
> glob_h,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_last_good_h,
> glob_reached_optimal_h,
> glob_optimal_expect_sec,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_log10_abserr,
> glob_log10normmin,
> glob_log10relerr,
> glob_initial_pass,
> glob_iter,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_hmin,
> glob_clock_sec,
> min_in_hour,
> glob_display_flag,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_small_float,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_max_iter,
> glob_clock_start_sec,
> days_in_year,
> sec_in_min,
> glob_orig_start_sec,
> glob_warned2,
> glob_no_eqs,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> hours_in_day,
> glob_log10abserr,
> glob_normmax,
> glob_not_yet_start_msg,
> glob_almost_1,
> years_in_century,
> glob_warned,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_optimal_done,
> djd_debug2,
> glob_subiter_method,
> glob_max_rel_trunc_err,
> glob_large_float,
> djd_debug,
> glob_percent_done,
> glob_smallish_float,
> glob_max_hours,
> glob_look_poles,
> glob_hmin_init,
> glob_dump,
> glob_max_opt_iter,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_last_rel_error,
> array_norms,
> array_y,
> array_x,
> array_m1,
> array_pole,
> array_1st_rel_error,
> array_type_pole,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_poles,
> array_y_higher,
> glob_last;
>
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if convfloat(percent_done) < convfloat(100.0) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> fi;# end if 1
> ;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> # End Function number 5
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_iolevel, DEBUGMASSIVE, glob_max_terms, INFO, ALWAYS, DEBUGL,
glob_start, glob_h, glob_not_yet_finished, glob_max_minutes,
glob_curr_iter_when_opt, glob_last_good_h, glob_reached_optimal_h,
glob_optimal_expect_sec, glob_optimal_clock_start_sec, glob_abserr,
glob_log10_abserr, glob_log10normmin, glob_log10relerr, glob_initial_pass,
glob_iter, glob_max_sec, glob_unchanged_h_cnt, glob_hmin, glob_clock_sec,
min_in_hour, glob_display_flag, MAX_UNCHANGED, glob_current_iter,
glob_small_float, glob_optimal_start, glob_max_trunc_err, glob_max_iter,
glob_clock_start_sec, days_in_year, sec_in_min, glob_orig_start_sec,
glob_warned2, glob_no_eqs, glob_dump_analytic, glob_hmax,
centuries_in_millinium, hours_in_day, glob_log10abserr, glob_normmax,
glob_not_yet_start_msg, glob_almost_1, years_in_century, glob_warned,
glob_relerr, glob_log10_relerr, glob_disp_incr, glob_optimal_done,
djd_debug2, glob_subiter_method, glob_max_rel_trunc_err, glob_large_float,
djd_debug, glob_percent_done, glob_smallish_float, glob_max_hours,
glob_look_poles, glob_hmin_init, glob_dump, glob_max_opt_iter,
glob_html_log, array_const_1D0, array_const_0D0, array_const_1, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y_init,
array_last_rel_error, array_norms, array_y, array_x, array_m1, array_pole,
array_1st_rel_error, array_type_pole, array_y_set_initial,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_poles, array_y_higher, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # Begin Function number 6
> check_for_pole := proc()
> global
> glob_iolevel,
> DEBUGMASSIVE,
> glob_max_terms,
> INFO,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_start,
> glob_h,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_last_good_h,
> glob_reached_optimal_h,
> glob_optimal_expect_sec,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_log10_abserr,
> glob_log10normmin,
> glob_log10relerr,
> glob_initial_pass,
> glob_iter,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_hmin,
> glob_clock_sec,
> min_in_hour,
> glob_display_flag,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_small_float,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_max_iter,
> glob_clock_start_sec,
> days_in_year,
> sec_in_min,
> glob_orig_start_sec,
> glob_warned2,
> glob_no_eqs,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> hours_in_day,
> glob_log10abserr,
> glob_normmax,
> glob_not_yet_start_msg,
> glob_almost_1,
> years_in_century,
> glob_warned,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_optimal_done,
> djd_debug2,
> glob_subiter_method,
> glob_max_rel_trunc_err,
> glob_large_float,
> djd_debug,
> glob_percent_done,
> glob_smallish_float,
> glob_max_hours,
> glob_look_poles,
> glob_hmin_init,
> glob_dump,
> glob_max_opt_iter,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_last_rel_error,
> array_norms,
> array_y,
> array_x,
> array_m1,
> array_pole,
> array_1st_rel_error,
> array_type_pole,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_poles,
> array_y_higher,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2
> ;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1
> ;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (abs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1
> ;
> n := n - 1;
> od;# end do number 2
> ;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y_higher[1,m-5]) >= (glob_large_float)) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (abs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * glob_h;
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3
> ;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2
> ;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if array_pole[1] > array_poles[1,1] then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2
> ;
> #BOTTOM WHICH RADIUS EQ = 1
> #BOTTOM CHECK FOR POLE
> display_pole();
> # End Function number 6
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found;
global glob_iolevel, DEBUGMASSIVE, glob_max_terms, INFO, ALWAYS, DEBUGL,
glob_start, glob_h, glob_not_yet_finished, glob_max_minutes,
glob_curr_iter_when_opt, glob_last_good_h, glob_reached_optimal_h,
glob_optimal_expect_sec, glob_optimal_clock_start_sec, glob_abserr,
glob_log10_abserr, glob_log10normmin, glob_log10relerr, glob_initial_pass,
glob_iter, glob_max_sec, glob_unchanged_h_cnt, glob_hmin, glob_clock_sec,
min_in_hour, glob_display_flag, MAX_UNCHANGED, glob_current_iter,
glob_small_float, glob_optimal_start, glob_max_trunc_err, glob_max_iter,
glob_clock_start_sec, days_in_year, sec_in_min, glob_orig_start_sec,
glob_warned2, glob_no_eqs, glob_dump_analytic, glob_hmax,
centuries_in_millinium, hours_in_day, glob_log10abserr, glob_normmax,
glob_not_yet_start_msg, glob_almost_1, years_in_century, glob_warned,
glob_relerr, glob_log10_relerr, glob_disp_incr, glob_optimal_done,
djd_debug2, glob_subiter_method, glob_max_rel_trunc_err, glob_large_float,
djd_debug, glob_percent_done, glob_smallish_float, glob_max_hours,
glob_look_poles, glob_hmin_init, glob_dump, glob_max_opt_iter,
glob_html_log, array_const_1D0, array_const_0D0, array_const_1, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y_init,
array_last_rel_error, array_norms, array_y, array_x, array_m1, array_pole,
array_1st_rel_error, array_type_pole, array_y_set_initial,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_poles, array_y_higher, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or
abs(array_y_higher[1, m - 1]) < glob_small_float or
abs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < abs(array_y_higher[1, n]) then cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= abs(array_y_higher[1, m]) or
glob_large_float <= abs(array_y_higher[1, m - 1]) or
glob_large_float <= abs(array_y_higher[1, m - 2]) or
glob_large_float <= abs(array_y_higher[1, m - 3]) or
glob_large_float <= abs(array_y_higher[1, m - 4]) or
glob_large_float <= abs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < abs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*glob_h
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
display_pole()
end proc
> # Begin Function number 7
> get_norms := proc()
> global
> glob_iolevel,
> DEBUGMASSIVE,
> glob_max_terms,
> INFO,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_start,
> glob_h,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_last_good_h,
> glob_reached_optimal_h,
> glob_optimal_expect_sec,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_log10_abserr,
> glob_log10normmin,
> glob_log10relerr,
> glob_initial_pass,
> glob_iter,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_hmin,
> glob_clock_sec,
> min_in_hour,
> glob_display_flag,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_small_float,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_max_iter,
> glob_clock_start_sec,
> days_in_year,
> sec_in_min,
> glob_orig_start_sec,
> glob_warned2,
> glob_no_eqs,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> hours_in_day,
> glob_log10abserr,
> glob_normmax,
> glob_not_yet_start_msg,
> glob_almost_1,
> years_in_century,
> glob_warned,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_optimal_done,
> djd_debug2,
> glob_subiter_method,
> glob_max_rel_trunc_err,
> glob_large_float,
> djd_debug,
> glob_percent_done,
> glob_smallish_float,
> glob_max_hours,
> glob_look_poles,
> glob_hmin_init,
> glob_dump,
> glob_max_opt_iter,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_last_rel_error,
> array_norms,
> array_y,
> array_x,
> array_m1,
> array_pole,
> array_1st_rel_error,
> array_type_pole,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_poles,
> array_y_higher,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 2
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := abs(array_y[iii]);
> fi;# end if 3
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 2
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global glob_iolevel, DEBUGMASSIVE, glob_max_terms, INFO, ALWAYS, DEBUGL,
glob_start, glob_h, glob_not_yet_finished, glob_max_minutes,
glob_curr_iter_when_opt, glob_last_good_h, glob_reached_optimal_h,
glob_optimal_expect_sec, glob_optimal_clock_start_sec, glob_abserr,
glob_log10_abserr, glob_log10normmin, glob_log10relerr, glob_initial_pass,
glob_iter, glob_max_sec, glob_unchanged_h_cnt, glob_hmin, glob_clock_sec,
min_in_hour, glob_display_flag, MAX_UNCHANGED, glob_current_iter,
glob_small_float, glob_optimal_start, glob_max_trunc_err, glob_max_iter,
glob_clock_start_sec, days_in_year, sec_in_min, glob_orig_start_sec,
glob_warned2, glob_no_eqs, glob_dump_analytic, glob_hmax,
centuries_in_millinium, hours_in_day, glob_log10abserr, glob_normmax,
glob_not_yet_start_msg, glob_almost_1, years_in_century, glob_warned,
glob_relerr, glob_log10_relerr, glob_disp_incr, glob_optimal_done,
djd_debug2, glob_subiter_method, glob_max_rel_trunc_err, glob_large_float,
djd_debug, glob_percent_done, glob_smallish_float, glob_max_hours,
glob_look_poles, glob_hmin_init, glob_dump, glob_max_opt_iter,
glob_html_log, array_const_1D0, array_const_0D0, array_const_1, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y_init,
array_last_rel_error, array_norms, array_y, array_x, array_m1, array_pole,
array_1st_rel_error, array_type_pole, array_y_set_initial,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_poles, array_y_higher, glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y[iii]) then
array_norms[iii] := abs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> glob_iolevel,
> DEBUGMASSIVE,
> glob_max_terms,
> INFO,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_start,
> glob_h,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_last_good_h,
> glob_reached_optimal_h,
> glob_optimal_expect_sec,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_log10_abserr,
> glob_log10normmin,
> glob_log10relerr,
> glob_initial_pass,
> glob_iter,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_hmin,
> glob_clock_sec,
> min_in_hour,
> glob_display_flag,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_small_float,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_max_iter,
> glob_clock_start_sec,
> days_in_year,
> sec_in_min,
> glob_orig_start_sec,
> glob_warned2,
> glob_no_eqs,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> hours_in_day,
> glob_log10abserr,
> glob_normmax,
> glob_not_yet_start_msg,
> glob_almost_1,
> years_in_century,
> glob_warned,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_optimal_done,
> djd_debug2,
> glob_subiter_method,
> glob_max_rel_trunc_err,
> glob_large_float,
> djd_debug,
> glob_percent_done,
> glob_smallish_float,
> glob_max_hours,
> glob_look_poles,
> glob_hmin_init,
> glob_dump,
> glob_max_opt_iter,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_last_rel_error,
> array_norms,
> array_y,
> array_x,
> array_m1,
> array_pole,
> array_1st_rel_error,
> array_type_pole,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_poles,
> array_y_higher,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> # emit pre mult $eq_no = 1 i = 1
> array_tmp1[1] := (array_x[1] * (array_x[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
> #emit pre div $eq_no = 1 i = 1
> array_tmp3[1] := (array_const_1D0[1] / (array_tmp2[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if not array_y_set_initial[1,2] then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * (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_x,array_x,1);
> #emit pre add $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2] + array_const_1D0[2];
> #emit pre div $eq_no = 1 i = 2
> array_tmp3[2] := ((array_const_1D0[2] - ats(2,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 2
> array_tmp4[2] := array_const_0D0[2] + array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if not array_y_set_initial[1,3] then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * (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_x,array_x,1);
> #emit pre add $eq_no = 1 i = 3
> array_tmp2[3] := array_tmp1[3] + array_const_1D0[3];
> #emit pre div $eq_no = 1 i = 3
> array_tmp3[3] := ((array_const_1D0[3] - ats(3,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 3
> array_tmp4[3] := array_const_0D0[3] + array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if not array_y_set_initial[1,4] then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * (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_x,array_x,1);
> #emit pre add $eq_no = 1 i = 4
> array_tmp2[4] := array_tmp1[4] + array_const_1D0[4];
> #emit pre div $eq_no = 1 i = 4
> array_tmp3[4] := ((array_const_1D0[4] - ats(4,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 4
> array_tmp4[4] := array_const_0D0[4] + array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if not array_y_set_initial[1,5] then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * (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_x,array_x,1);
> #emit pre add $eq_no = 1 i = 5
> array_tmp2[5] := array_tmp1[5] + array_const_1D0[5];
> #emit pre div $eq_no = 1 i = 5
> array_tmp3[5] := ((array_const_1D0[5] - ats(5,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit pre add $eq_no = 1 i = 5
> array_tmp4[5] := array_const_0D0[5] + array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if not array_y_set_initial[1,6] then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * (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_x,array_x,1);
> #emit add $eq_no = 1
> array_tmp2[kkk] := array_tmp1[kkk] + array_const_1D0[kkk];
> #emit div $eq_no = 1
> array_tmp3[kkk] := ((array_const_1D0[kkk] - ats(kkk,array_tmp2,array_tmp3,2))/array_tmp2[1]);
> #emit add $eq_no = 1
> array_tmp4[kkk] := array_const_0D0[kkk] + array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if not array_y_set_initial[1,kkk + order_d] then # if number 2
> temporary := array_tmp4[kkk] * (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 glob_iolevel, DEBUGMASSIVE, glob_max_terms, INFO, ALWAYS, DEBUGL,
glob_start, glob_h, glob_not_yet_finished, glob_max_minutes,
glob_curr_iter_when_opt, glob_last_good_h, glob_reached_optimal_h,
glob_optimal_expect_sec, glob_optimal_clock_start_sec, glob_abserr,
glob_log10_abserr, glob_log10normmin, glob_log10relerr, glob_initial_pass,
glob_iter, glob_max_sec, glob_unchanged_h_cnt, glob_hmin, glob_clock_sec,
min_in_hour, glob_display_flag, MAX_UNCHANGED, glob_current_iter,
glob_small_float, glob_optimal_start, glob_max_trunc_err, glob_max_iter,
glob_clock_start_sec, days_in_year, sec_in_min, glob_orig_start_sec,
glob_warned2, glob_no_eqs, glob_dump_analytic, glob_hmax,
centuries_in_millinium, hours_in_day, glob_log10abserr, glob_normmax,
glob_not_yet_start_msg, glob_almost_1, years_in_century, glob_warned,
glob_relerr, glob_log10_relerr, glob_disp_incr, glob_optimal_done,
djd_debug2, glob_subiter_method, glob_max_rel_trunc_err, glob_large_float,
djd_debug, glob_percent_done, glob_smallish_float, glob_max_hours,
glob_look_poles, glob_hmin_init, glob_dump, glob_max_opt_iter,
glob_html_log, array_const_1D0, array_const_0D0, array_const_1, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y_init,
array_last_rel_error, array_norms, array_y, array_x, array_m1, array_pole,
array_1st_rel_error, array_type_pole, array_y_set_initial,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_poles, array_y_higher, glob_last;
array_tmp1[1] := array_x[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_1D0[1];
array_tmp3[1] := array_const_1D0[1]/array_tmp2[1];
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*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_x, array_x, 1);
array_tmp2[2] := array_tmp1[2] + array_const_1D0[2];
array_tmp3[2] := (
array_const_1D0[2] - ats(2, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[2] := array_const_0D0[2] + array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[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_x, array_x, 1);
array_tmp2[3] := array_tmp1[3] + array_const_1D0[3];
array_tmp3[3] := (
array_const_1D0[3] - ats(3, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[3] := array_const_0D0[3] + array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[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_x, array_x, 1);
array_tmp2[4] := array_tmp1[4] + array_const_1D0[4];
array_tmp3[4] := (
array_const_1D0[4] - ats(4, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[4] := array_const_0D0[4] + array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[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_x, array_x, 1);
array_tmp2[5] := array_tmp1[5] + array_const_1D0[5];
array_tmp3[5] := (
array_const_1D0[5] - ats(5, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[5] := array_const_0D0[5] + array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[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_x, array_x, 1);
array_tmp2[kkk] := array_tmp1[kkk] + array_const_1D0[kkk];
array_tmp3[kkk] := (
array_const_1D0[kkk] - ats(kkk, array_tmp2, array_tmp3, 2))/
array_tmp2[1];
array_tmp4[kkk] := array_const_0D0[kkk] + array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*glob_h^order_d/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_y_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;
> # End Function number 1
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 5
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, "Unknown")
end if;
fprintf(fd, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 10
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 11
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att := ret_att
+ array_aa[iii_att]*array_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # Begin Function number 5
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 11
> # End Function number 5
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
>
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> comp_percent := proc(t_end2,t_start2,t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
>
> # Begin Function number 17
> factorial_1 := proc(nnn)
> nnn!;
>
> # End Function number 17
> end;
factorial_1 := proc(nnn) nnn! end proc
>
> # Begin Function number 18
> factorial_3 := proc(mmm2,nnn2)
> (mmm2!)/(nnn2!);
>
> # End Function number 18
> end;
factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> arctan(x);
> end;
exact_soln_y := proc(x) arctan(x) end proc
>
>
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> mainprog := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp;
> #Top Generate Globals Definition
> #Bottom Generate Globals Deninition
> global
> glob_iolevel,
> DEBUGMASSIVE,
> glob_max_terms,
> INFO,
> ALWAYS,
> DEBUGL,
> #Top Generate Globals Decl
> glob_start,
> glob_h,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_curr_iter_when_opt,
> glob_last_good_h,
> glob_reached_optimal_h,
> glob_optimal_expect_sec,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_log10_abserr,
> glob_log10normmin,
> glob_log10relerr,
> glob_initial_pass,
> glob_iter,
> glob_max_sec,
> glob_unchanged_h_cnt,
> glob_hmin,
> glob_clock_sec,
> min_in_hour,
> glob_display_flag,
> MAX_UNCHANGED,
> glob_current_iter,
> glob_small_float,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_max_iter,
> glob_clock_start_sec,
> days_in_year,
> sec_in_min,
> glob_orig_start_sec,
> glob_warned2,
> glob_no_eqs,
> glob_dump_analytic,
> glob_hmax,
> centuries_in_millinium,
> hours_in_day,
> glob_log10abserr,
> glob_normmax,
> glob_not_yet_start_msg,
> glob_almost_1,
> years_in_century,
> glob_warned,
> glob_relerr,
> glob_log10_relerr,
> glob_disp_incr,
> glob_optimal_done,
> djd_debug2,
> glob_subiter_method,
> glob_max_rel_trunc_err,
> glob_large_float,
> djd_debug,
> glob_percent_done,
> glob_smallish_float,
> glob_max_hours,
> glob_look_poles,
> glob_hmin_init,
> glob_dump,
> glob_max_opt_iter,
> glob_html_log,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y_init,
> array_last_rel_error,
> array_norms,
> array_y,
> array_x,
> array_m1,
> array_pole,
> array_1st_rel_error,
> array_type_pole,
> array_y_set_initial,
> array_complex_pole,
> array_y_higher_work,
> array_real_pole,
> array_y_higher_work2,
> array_poles,
> array_y_higher,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_iolevel := 5;
> DEBUGMASSIVE := 4;
> glob_max_terms := 30;
> INFO := 2;
> ALWAYS := 1;
> DEBUGL := 3;
> glob_start := 0;
> glob_h := 0.1;
> glob_not_yet_finished := true;
> glob_max_minutes := 0.0;
> glob_curr_iter_when_opt := 0;
> glob_last_good_h := 0.1;
> glob_reached_optimal_h := false;
> glob_optimal_expect_sec := 0.1;
> glob_optimal_clock_start_sec := 0.0;
> glob_abserr := 0.1e-10;
> glob_log10_abserr := 0.1e-10;
> glob_log10normmin := 0.1;
> glob_log10relerr := 0.0;
> glob_initial_pass := true;
> glob_iter := 0;
> glob_max_sec := 10000.0;
> glob_unchanged_h_cnt := 0;
> glob_hmin := 0.00000000001;
> glob_clock_sec := 0.0;
> min_in_hour := 60.0;
> glob_display_flag := true;
> MAX_UNCHANGED := 10;
> glob_current_iter := 0;
> glob_small_float := 0.1e-50;
> glob_optimal_start := 0.0;
> glob_max_trunc_err := 0.1e-10;
> glob_max_iter := 1000;
> glob_clock_start_sec := 0.0;
> days_in_year := 365.0;
> sec_in_min := 60.0;
> glob_orig_start_sec := 0.0;
> glob_warned2 := false;
> glob_no_eqs := 0;
> glob_dump_analytic := false;
> glob_hmax := 1.0;
> centuries_in_millinium := 10.0;
> hours_in_day := 24.0;
> glob_log10abserr := 0.0;
> glob_normmax := 0.0;
> glob_not_yet_start_msg := true;
> glob_almost_1 := 0.9990;
> years_in_century := 100.0;
> glob_warned := false;
> glob_relerr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_disp_incr := 0.1;
> glob_optimal_done := false;
> djd_debug2 := true;
> glob_subiter_method := 3;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_large_float := 9.0e100;
> djd_debug := true;
> glob_percent_done := 0.0;
> glob_smallish_float := 0.1e-100;
> glob_max_hours := 0.0;
> glob_look_poles := false;
> glob_hmin_init := 0.001;
> glob_dump := false;
> glob_max_opt_iter := 10;
> glob_html_log := true;
> #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/sing2postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = 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,"glob_h := 0.00001;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_adjust_h := false;");
> omniout_str(ALWAYS,"glob_max_iter := 100;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.0001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"arctan(x);");
> 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_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_tmp3:= Array(1..(max_terms + 1),[]);
> array_tmp4:= Array(1..(max_terms + 1),[]);
> array_y_init:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_y:= Array(1..(max_terms + 1),[]);
> array_x:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> 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_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_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_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> 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_type_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_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_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 <=1 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=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 <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_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_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_0D0[1] := 0.0;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1[1] := 1;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := -2.0;
> x_end := 1.0;
> glob_h := 0.00001;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_adjust_h := false;
> glob_max_iter := 100;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.0001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> if glob_html_log then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_y();
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := abs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 3
> glob_log10normmin := log10norm;
> fi;# end if 3
> fi;# end if 2
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 2
> #left paren 0004C
> check_for_pole();
> fi;# end if 2
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 2
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 2
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 2
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if glob_html_log then # if number 2
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-06-13T18:23:31-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sing2")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 3
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 3
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 3
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 3
> ;
> log_revs(html_log_file," 090 | ")
> ;
> logitem_str(html_log_file,"sing2 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing2 maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 2
> ;
> if glob_html_log then # if number 2
> fclose(html_log_file);
> fi;# end if 2
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
Warning, `glob_adjust_h` is implicitly declared local to procedure `mainprog`
mainprog := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum,
current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp,
glob_adjust_h;
global glob_iolevel, DEBUGMASSIVE, glob_max_terms, INFO, ALWAYS, DEBUGL,
glob_start, glob_h, glob_not_yet_finished, glob_max_minutes,
glob_curr_iter_when_opt, glob_last_good_h, glob_reached_optimal_h,
glob_optimal_expect_sec, glob_optimal_clock_start_sec, glob_abserr,
glob_log10_abserr, glob_log10normmin, glob_log10relerr, glob_initial_pass,
glob_iter, glob_max_sec, glob_unchanged_h_cnt, glob_hmin, glob_clock_sec,
min_in_hour, glob_display_flag, MAX_UNCHANGED, glob_current_iter,
glob_small_float, glob_optimal_start, glob_max_trunc_err, glob_max_iter,
glob_clock_start_sec, days_in_year, sec_in_min, glob_orig_start_sec,
glob_warned2, glob_no_eqs, glob_dump_analytic, glob_hmax,
centuries_in_millinium, hours_in_day, glob_log10abserr, glob_normmax,
glob_not_yet_start_msg, glob_almost_1, years_in_century, glob_warned,
glob_relerr, glob_log10_relerr, glob_disp_incr, glob_optimal_done,
djd_debug2, glob_subiter_method, glob_max_rel_trunc_err, glob_large_float,
djd_debug, glob_percent_done, glob_smallish_float, glob_max_hours,
glob_look_poles, glob_hmin_init, glob_dump, glob_max_opt_iter,
glob_html_log, array_const_1D0, array_const_0D0, array_const_1, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y_init,
array_last_rel_error, array_norms, array_y, array_x, array_m1, array_pole,
array_1st_rel_error, array_type_pole, array_y_set_initial,
array_complex_pole, array_y_higher_work, array_real_pole,
array_y_higher_work2, array_poles, array_y_higher, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_iolevel := 5;
DEBUGMASSIVE := 4;
glob_max_terms := 30;
INFO := 2;
ALWAYS := 1;
DEBUGL := 3;
glob_start := 0;
glob_h := 0.1;
glob_not_yet_finished := true;
glob_max_minutes := 0.;
glob_curr_iter_when_opt := 0;
glob_last_good_h := 0.1;
glob_reached_optimal_h := false;
glob_optimal_expect_sec := 0.1;
glob_optimal_clock_start_sec := 0.;
glob_abserr := 0.1*10^(-10);
glob_log10_abserr := 0.1*10^(-10);
glob_log10normmin := 0.1;
glob_log10relerr := 0.;
glob_initial_pass := true;
glob_iter := 0;
glob_max_sec := 10000.0;
glob_unchanged_h_cnt := 0;
glob_hmin := 0.1*10^(-10);
glob_clock_sec := 0.;
min_in_hour := 60.0;
glob_display_flag := true;
MAX_UNCHANGED := 10;
glob_current_iter := 0;
glob_small_float := 0.1*10^(-50);
glob_optimal_start := 0.;
glob_max_trunc_err := 0.1*10^(-10);
glob_max_iter := 1000;
glob_clock_start_sec := 0.;
days_in_year := 365.0;
sec_in_min := 60.0;
glob_orig_start_sec := 0.;
glob_warned2 := false;
glob_no_eqs := 0;
glob_dump_analytic := false;
glob_hmax := 1.0;
centuries_in_millinium := 10.0;
hours_in_day := 24.0;
glob_log10abserr := 0.;
glob_normmax := 0.;
glob_not_yet_start_msg := true;
glob_almost_1 := 0.9990;
years_in_century := 100.0;
glob_warned := false;
glob_relerr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_disp_incr := 0.1;
glob_optimal_done := false;
djd_debug2 := true;
glob_subiter_method := 3;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_large_float := 0.90*10^101;
djd_debug := true;
glob_percent_done := 0.;
glob_smallish_float := 0.1*10^(-100);
glob_max_hours := 0.;
glob_look_poles := false;
glob_hmin_init := 0.001;
glob_dump := false;
glob_max_opt_iter := 10;
glob_html_log := true;
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/sing2postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = 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, "glob_h := 0.00001;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_adjust_h := false;");
omniout_str(ALWAYS, "glob_max_iter := 100;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.0001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "arctan(x);");
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_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_tmp3 := Array(1 .. max_terms + 1, []);
array_tmp4 := Array(1 .. max_terms + 1, []);
array_y_init := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_y := Array(1 .. max_terms + 1, []);
array_x := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
array_real_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 2, 1 .. 4, []);
array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
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_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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_m1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_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 <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 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 <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_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_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
x_start := -2.0;
x_end := 1.0;
glob_h := 0.00001;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_adjust_h := false;
glob_max_iter := 100;
glob_h := 0.0001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_y();
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
omniout_int(INFO, "Iterations ", 32, glob_iter, 4,
" ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-06-13T18:23:31-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "sing2");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 090 | ");
logitem_str(html_log_file,
"sing2 diffeq.mxt");
logitem_str(html_log_file,
"sing2 maple results");
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end proc
> mainprog();
##############ECHO OF PROBLEM#################
##############temp/sing2postode.ode#################
diff ( y , x , 1 ) = 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;
glob_h := 0.00001;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_adjust_h := false;
glob_max_iter := 100;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.0001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
arctan(x);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = -2
y[1] (analytic) = -1.1071487177940905030170654601785
y[1] (numeric) = -1.1071487177940905030170654601785
absolute error = 0
relative error = 0 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 2.182
x[1] = -1.9999
y[1] (analytic) = -1.1071287169940611687237058863759
y[1] (numeric) = -1.1071287169940611687237058699494
absolute error = 1.64265e-26
relative error = 1.4837028204452323502640984565306e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 2.182
x[1] = -1.9998
y[1] (analytic) = -1.1071087145938558209895590834752
y[1] (numeric) = -1.1071087145938558209895590506236
absolute error = 3.28516e-26
relative error = 2.9673327982113887913711516968491e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 2.182
x[1] = -1.9997
y[1] (analytic) = -1.1070887105932984252506887980461
y[1] (numeric) = -1.1070887105932984252506887487707
absolute error = 4.92754e-26
relative error = 4.4508989684840058129113467346939e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 2.182
x[1] = -1.9996
y[1] (analytic) = -1.1070687049922129238968604445428
y[1] (numeric) = -1.1070687049922129238968603788449
absolute error = 6.56979e-26
relative error = 5.9344013342389726704597722305454e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9995
y[1] (analytic) = -1.1070486977904232362683914605932
y[1] (numeric) = -1.1070486977904232362683913784741
absolute error = 8.21191e-26
relative error = 7.4178398984527841247657004325086e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9994
y[1] (analytic) = -1.1070286889877532586530013244488
y[1] (numeric) = -1.1070286889877532586530012259098
absolute error = 9.85390e-26
relative error = 8.9012146641025405924826718843224e-24 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9993
y[1] (analytic) = -1.1070086785840268642826612346212
y[1] (numeric) = -1.1070086785840268642826611196636
absolute error = 1.149576e-25
relative error = 1.0384525634165948296942932477934e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9992
y[1] (analytic) = -1.1069886665790679033304434517335
y[1] (numeric) = -1.1069886665790679033304433203586
absolute error = 1.313749e-25
relative error = 1.1867772811621319418976237938916e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9991
y[1] (analytic) = -1.1069686529727002029073703026122
y[1] (numeric) = -1.1069686529727002029073701548214
absolute error = 1.477908e-25
relative error = 1.3350947165768097092284950724347e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.999
y[1] (analytic) = -1.106948637764747567059262846648
y[1] (numeric) = -1.1069486377647475670592626824426
absolute error = 1.642054e-25
relative error = 1.4834057732938597438390958839044e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9989
y[1] (analytic) = -1.1069286209550337767635892044509
y[1] (numeric) = -1.1069286209550337767635890238321
absolute error = 1.806188e-25
relative error = 1.6317113550119072194871468295259e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9988
y[1] (analytic) = -1.1069086025433825899263125488282
y[1] (numeric) = -1.1069086025433825899263123517974
absolute error = 1.970308e-25
relative error = 1.7800096552441226248954617305999e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9987
y[1] (analytic) = -1.1068885825296177413787387581121
y[1] (numeric) = -1.1068885825296177413787385446707
absolute error = 2.134414e-25
relative error = 1.9283006742396207608636376351260e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9986
y[1] (analytic) = -1.1068685609135629428743637318635
y[1] (numeric) = -1.1068685609135629428743635020127
absolute error = 2.298508e-25
relative error = 2.0765862191468405087807932485533e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 2.182
x[1] = -1.9985
y[1] (analytic) = -1.1068485376950418830857203689796
y[1] (numeric) = -1.1068485376950418830857201227209
absolute error = 2.462587e-25
relative error = 2.2248635799151141018375506851299e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
memory used=3.8MB, alloc=2.9MB, time=0.19
x[1] = -1.9984
y[1] (analytic) = -1.1068285128738782276012252082334
y[1] (numeric) = -1.106828512873878227601224945568
absolute error = 2.626654e-25
relative error = 2.3731354671916588502853345625555e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9983
y[1] (analytic) = -1.1068084864498956189220247312703
y[1] (numeric) = -1.1068084864498956189220244521996
absolute error = 2.790707e-25
relative error = 2.5214000743265291092200995526670e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9982
y[1] (analytic) = -1.1067884584229176764588413280921
y[1] (numeric) = -1.1067884584229176764588410326174
absolute error = 2.954747e-25
relative error = 2.6696583050841268464644329778032e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9981
y[1] (analytic) = -1.1067684287927679965288189250528
y[1] (numeric) = -1.1067684287927679965288186131754
absolute error = 3.118774e-25
relative error = 2.8179101597629337220726493080723e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.998
y[1] (analytic) = -1.1067483975592701523523682753958
y[1] (numeric) = -1.1067483975592701523523679471171
absolute error = 3.282787e-25
relative error = 2.9661547351137642437373473833400e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9979
y[1] (analytic) = -1.1067283647222476940500119123591
y[1] (numeric) = -1.1067283647222476940500115676805
absolute error = 3.446786e-25
relative error = 3.1143920313861564109724183479283e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9978
y[1] (analytic) = -1.1067083302815241486392287648764
y[1] (numeric) = -1.1067083302815241486392284037991
absolute error = 3.610773e-25
relative error = 3.2626238559905775685380582038885e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9977
y[1] (analytic) = -1.1066882942369230200312984359004
y[1] (numeric) = -1.1066882942369230200312980584258
absolute error = 3.774746e-25
relative error = 3.4108484020812200763280042737610e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9976
y[1] (analytic) = -1.1066682565882677890281451433787
y[1] (numeric) = -1.1066682565882677890281447495081
absolute error = 3.938706e-25
relative error = 3.5590665735209411986520913968132e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9975
y[1] (analytic) = -1.1066482173353819133191813239063
y[1] (numeric) = -1.1066482173353819133191809136411
absolute error = 4.102652e-25
relative error = 3.7072774669790537329528602115067e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 2.182
x[1] = -1.9974
y[1] (analytic) = -1.1066281764780888274781508990862
y[1] (numeric) = -1.1066281764780888274781504724277
absolute error = 4.266585e-25
relative error = 3.8554819863512467965411719562702e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9973
y[1] (analytic) = -1.1066081340162119429599722046223
y[1] (numeric) = -1.1066081340162119429599717615719
absolute error = 4.430504e-25
relative error = 4.0036792282742181440726630697132e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9972
y[1] (analytic) = -1.1065880899495746480975805821754
y[1] (numeric) = -1.1065880899495746480975801227345
absolute error = 4.594409e-25
relative error = 4.1518691929978746338303098406688e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9971
y[1] (analytic) = -1.1065680442780003080987706340082
y[1] (numeric) = -1.106568044278000308098770158178
absolute error = 4.758302e-25
relative error = 4.3000536881621567501633595344104e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.997
y[1] (analytic) = -1.1065479970013122650430381404474
y[1] (numeric) = -1.1065479970013122650430376482294
absolute error = 4.922180e-25
relative error = 4.4482300029812107131433308390986e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9969
y[1] (analytic) = -1.1065279481193338378784216401926
y[1] (numeric) = -1.1065279481193338378784211315881
absolute error = 5.086045e-25
relative error = 4.5963999451114577307772466471466e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9968
y[1] (analytic) = -1.106507897631888322418343673497
y[1] (numeric) = -1.1065078976318883224183431485074
absolute error = 5.249896e-25
relative error = 4.7445626111080220253124462335571e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9967
y[1] (analytic) = -1.1064878455387989913384516882505
y[1] (numeric) = -1.1064878455387989913384511468771
absolute error = 5.413734e-25
relative error = 4.8927189049815617171044122040887e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9966
y[1] (analytic) = -1.106467791839889094173458608992
y[1] (numeric) = -1.1064677918398890941734580512363
absolute error = 5.577557e-25
relative error = 5.0408670194776874125584221226905e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9965
y[1] (analytic) = -1.1064477365349818573139830688798
y[1] (numeric) = -1.106447736534981857313982494743
absolute error = 5.741368e-25
relative error = 5.1890096661772860920457107029806e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9964
y[1] (analytic) = -1.1064276796239004840033893046463
y[1] (numeric) = -1.1064276796239004840033887141299
absolute error = 5.905164e-25
relative error = 5.3371441340000616448800097998255e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 2.182
x[1] = -1.9963
y[1] (analytic) = -1.1064076211064681543346267145685
y[1] (numeric) = -1.1064076211064681543346261076739
absolute error = 6.068946e-25
relative error = 5.4852713269732559857272609162264e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9962
y[1] (analytic) = -1.1063875609825080252470690794795
y[1] (numeric) = -1.1063875609825080252470684562079
absolute error = 6.232716e-25
relative error = 5.6333930530321093957571835858601e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9961
y[1] (analytic) = -1.1063674992518432305233534468502
y[1] (numeric) = -1.1063674992518432305233528072032
absolute error = 6.396470e-25
relative error = 5.7815056970902278176517769258969e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.996
y[1] (analytic) = -1.1063474359142968807862186779712
y[1] (numeric) = -1.10634743591429688078621802195
absolute error = 6.560212e-25
relative error = 5.9296128748005579678503496800972e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.0MB, time=0.41
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9959
y[1] (analytic) = -1.10632737096969206349534365826
y[1] (numeric) = -1.1063273709696920634953429858661
absolute error = 6.723939e-25
relative error = 6.0777118748372744595109217140018e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9958
y[1] (analytic) = -1.1063073044178518429441851707255
y[1] (numeric) = -1.1063073044178518429441844819603
absolute error = 6.887652e-25
relative error = 6.2258036013098007092106794269138e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9957
y[1] (analytic) = -1.1062872362585992602568154326151
y[1] (numeric) = -1.1062872362585992602568147274799
absolute error = 7.051352e-25
relative error = 6.3738889583931862614389218113146e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9956
y[1] (analytic) = -1.106267166491757333384759295275
y[1] (numeric) = -1.1062671664917573333847585737712
absolute error = 7.215038e-25
relative error = 6.5219670424465755849642442992804e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9955
y[1] (analytic) = -1.1062470951171490571038311072518
y[1] (numeric) = -1.1062470951171490571038303693808
absolute error = 7.378710e-25
relative error = 6.6700378537207470403253380991948e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9954
y[1] (analytic) = -1.1062270221345974030109712406631
y[1] (numeric) = -1.1062270221345974030109704864263
absolute error = 7.542368e-25
relative error = 6.8181013924665286824900200672097e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9953
y[1] (analytic) = -1.1062069475439253195210822808668
y[1] (numeric) = -1.1062069475439253195210815102657
absolute error = 7.706011e-25
relative error = 6.9661567549448150059689471645851e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 2.182
x[1] = -1.9952
y[1] (analytic) = -1.1061868713449557318638648794575
y[1] (numeric) = -1.1061868713449557318638640924934
absolute error = 7.869641e-25
relative error = 7.1142057493700934994155468649160e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9951
y[1] (analytic) = -1.1061667935375115420806532706179
y[1] (numeric) = -1.1061667935375115420806524672923
absolute error = 8.033256e-25
relative error = 7.2622465679969644941836721956898e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.995
y[1] (analytic) = -1.1061467141214156290212504508558
y[1] (numeric) = -1.10614671412141562902124963117
absolute error = 8.196858e-25
relative error = 7.4102810191056410522782204473151e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9949
y[1] (analytic) = -1.1061266330964908483407630221531
y[1] (numeric) = -1.1061266330964908483407621861085
absolute error = 8.360446e-25
relative error = 7.5583081989408100888420219319365e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9948
y[1] (analytic) = -1.106106550462560032496435698558
y[1] (numeric) = -1.106106550462560032496434846156
absolute error = 8.524020e-25
relative error = 7.7063281077535980779150976435992e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9947
y[1] (analytic) = -1.1060864662194459907444854762476
y[1] (numeric) = -1.1060864662194459907444846074897
absolute error = 8.687579e-25
relative error = 7.8543398417067301967989014021957e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9946
y[1] (analytic) = -1.1060663803669715091369354670908
y[1] (numeric) = -1.1060663803669715091369345819783
absolute error = 8.851125e-25
relative error = 8.0023452092119166500122509528926e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9945
y[1] (analytic) = -1.10604629290495935051844839574
y[1] (numeric) = -1.1060462929049593505184474942743
absolute error = 9.014657e-25
relative error = 8.1503433064483982871976160158024e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9944
y[1] (analytic) = -1.1060262038332322545231597602807
y[1] (numeric) = -1.1060262038332322545231588424634
absolute error = 9.178173e-25
relative error = 8.2983323253920792035079324982618e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9943
y[1] (analytic) = -1.1060061131516129375715106564691
y[1] (numeric) = -1.1060061131516129375715097223014
absolute error = 9.341677e-25
relative error = 8.4463158828123305656176922127015e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9942
y[1] (analytic) = -1.1059860208599240928670802655841
y[1] (numeric) = -1.1059860208599240928670793150676
absolute error = 9.505165e-25
relative error = 8.5942903623768794620901007382102e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.9941
y[1] (analytic) = -1.1059659269579883903934180059269
y[1] (numeric) = -1.105965926957988390393417039063
absolute error = 9.668639e-25
relative error = 8.7422575726126111588795684114886e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 2.182
x[1] = -1.994
y[1] (analytic) = -1.1059458314456284769108753479934
y[1] (numeric) = -1.1059458314456284769108743647835
absolute error = 9.832099e-25
relative error = 8.8902175137710392164151327312698e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9939
y[1] (analytic) = -1.1059257343226669759534372933514
y[1] (numeric) = -1.1059257343226669759534362937969
absolute error = 9.995545e-25
relative error = 9.0381701861037270680757979645949e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9938
y[1] (analytic) = -1.1059056355889264878255535172509
y[1] (numeric) = -1.1059056355889264878255525013532
absolute error = 1.0158977e-24
relative error = 9.1861155898622880322902413462040e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9937
y[1] (analytic) = -1.1058855352442295895989691749966
y[1] (numeric) = -1.1058855352442295895989681427572
absolute error = 1.0322394e-24
relative error = 9.3340528210456682664005691795853e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9936
y[1] (analytic) = -1.1058654332883988351095553721126
y[1] (numeric) = -1.1058654332883988351095543235329
absolute error = 1.0485797e-24
relative error = 9.4819827841254237038163839213318e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9935
y[1] (analytic) = -1.1058453297212567549541392983283
y[1] (numeric) = -1.1058453297212567549541382334097
absolute error = 1.0649186e-24
relative error = 9.6299054793533116451283985724972e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
memory used=11.4MB, alloc=4.1MB, time=0.64
x[1] = -1.9934
y[1] (analytic) = -1.1058252245426258564873340254153
y[1] (numeric) = -1.1058252245426258564873329441593
absolute error = 1.0812560e-24
relative error = 9.7778200026791051444376022806238e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9933
y[1] (analytic) = -1.1058051177523286238183679689045
y[1] (numeric) = -1.1058051177523286238183668713126
absolute error = 1.0975919e-24
relative error = 9.9257263543053327645867299447367e-23 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9932
y[1] (analytic) = -1.1057850093501875178079140137136
y[1] (numeric) = -1.1057850093501875178079128997871
absolute error = 1.1139265e-24
relative error = 1.0073626343104405203221428713195e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9931
y[1] (analytic) = -1.1057648993360249760649183037131
y[1] (numeric) = -1.1057648993360249760649171734535
absolute error = 1.1302596e-24
relative error = 1.0221518160674871091845083678313e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.993
y[1] (analytic) = -1.105744787709663412943428695263
y[1] (numeric) = -1.1057447877096634129434275486717
absolute error = 1.1465913e-24
relative error = 1.0369402711587203061813016233345e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 2.182
x[1] = -1.9929
y[1] (analytic) = -1.1057246744709252195394228747471
y[1] (numeric) = -1.1057246744709252195394217118256
absolute error = 1.1629215e-24
relative error = 1.0517279091709178983899090308742e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9928
y[1] (analytic) = -1.1057045596196327636876361401371
y[1] (numeric) = -1.1057045596196327636876349608868
absolute error = 1.1792503e-24
relative error = 1.0665148205644257221696429087906e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9927
y[1] (analytic) = -1.1056844431556083899583888466142
y[1] (numeric) = -1.1056844431556083899583876510366
absolute error = 1.1955776e-24
relative error = 1.0813009149227403080757097931777e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9926
y[1] (analytic) = -1.1056643250786744196544135162799
y[1] (numeric) = -1.1056643250786744196544123043765
absolute error = 1.2119034e-24
relative error = 1.0960861922661437547351862216401e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9925
y[1] (analytic) = -1.1056442053886531508076816119845
y[1] (numeric) = -1.1056442053886531508076803837567
absolute error = 1.2282278e-24
relative error = 1.1108707430599309165371941130414e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9924
y[1] (analytic) = -1.105624084085366858176229975304
y[1] (numeric) = -1.1056240840853668581762287307533
absolute error = 1.2445507e-24
relative error = 1.1256544768826747210370268704884e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9923
y[1] (analytic) = -1.105603961168637793240986928695
y[1] (numeric) = -1.1056039611686377932409856678229
absolute error = 1.2608721e-24
relative error = 1.1404373937546694033485920764396e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9922
y[1] (analytic) = -1.105583836638288184202598041858
y[1] (numeric) = -1.1055838366382881842025967646659
absolute error = 1.2771921e-24
relative error = 1.1552195841461605714720911970702e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9921
y[1] (analytic) = -1.1055637104941402359782515623386
y[1] (numeric) = -1.1055637104941402359782502688279
absolute error = 1.2935107e-24
relative error = 1.1700010480823899384376194685645e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.992
y[1] (analytic) = -1.1055435827360161301985035103973
y[1] (numeric) = -1.1055435827360161301985022005696
absolute error = 1.3098277e-24
relative error = 1.1847816046821224531259510710819e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9919
y[1] (analytic) = -1.1055234533637380252041024381781
y[1] (numeric) = -1.1055234533637380252041011120348
absolute error = 1.3261433e-24
relative error = 1.1995614348705037310223426155766e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 2.182
x[1] = -1.9918
y[1] (analytic) = -1.1055033223771280560428138532052
y[1] (numeric) = -1.1055033223771280560428125107477
absolute error = 1.3424575e-24
relative error = 1.2143405386727893643329527049289e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9917
y[1] (analytic) = -1.1054831897760083344662443062389
y[1] (numeric) = -1.1054831897760083344662429474688
absolute error = 1.3587701e-24
relative error = 1.2291187351978751957645916739646e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9916
y[1] (analytic) = -1.1054630555602009489266651435213
y[1] (numeric) = -1.10546305556020094892666376844
absolute error = 1.3750813e-24
relative error = 1.2438962053808014103007694755253e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9915
y[1] (analytic) = -1.1054429197295279645738359234408
y[1] (numeric) = -1.1054429197295279645738345320498
absolute error = 1.3913910e-24
relative error = 1.2586728587853598176297922778645e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9914
y[1] (analytic) = -1.1054227822838114232518274976473
y[1] (numeric) = -1.1054227822838114232518260899481
absolute error = 1.4076992e-24
relative error = 1.2734486954318811147057532082921e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9913
y[1] (analytic) = -1.1054026432228733434958447566473
y[1] (numeric) = -1.1054026432228733434958433326414
absolute error = 1.4240059e-24
relative error = 1.2882237153406998624223290038415e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9912
y[1] (analytic) = -1.1053825025465357205290490399104
y[1] (numeric) = -1.1053825025465357205290475995993
absolute error = 1.4403111e-24
relative error = 1.3029979185321544865083976214056e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9911
y[1] (analytic) = -1.105362360254620526259380210517
y[1] (numeric) = -1.1053623602546205262593787539021
absolute error = 1.4566149e-24
relative error = 1.3177713954946578367202519628474e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.991
y[1] (analytic) = -1.1053422163469497092763783943778
y[1] (numeric) = -1.1053422163469497092763769214606
absolute error = 1.4729172e-24
relative error = 1.3325440557837829178215793064104e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9909
y[1] (analytic) = -1.1053220708233451948480053840565
y[1] (numeric) = -1.1053220708233451948480038948385
absolute error = 1.4892180e-24
relative error = 1.3473158994198803324992171769887e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=0.86
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9908
y[1] (analytic) = -1.1053019236836288849174657072253
y[1] (numeric) = -1.1053019236836288849174642017081
absolute error = 1.5055172e-24
relative error = 1.3620868359502873091251701777198e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 2.182
x[1] = -1.9907
y[1] (analytic) = -1.1052817749276226581000273597847
y[1] (numeric) = -1.1052817749276226581000258379697
absolute error = 1.5218150e-24
relative error = 1.3768570463397473944509022327953e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9906
y[1] (analytic) = -1.1052616245551483696798422036778
y[1] (numeric) = -1.1052616245551483696798406655665
absolute error = 1.5381113e-24
relative error = 1.3916264401372546438420814677396e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9905
y[1] (analytic) = -1.1052414725660278516067660294304
y[1] (numeric) = -1.1052414725660278516067644750243
absolute error = 1.5544061e-24
relative error = 1.4063950173631751395331839020399e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9904
y[1] (analytic) = -1.1052213189600829124931782834471
y[1] (numeric) = -1.1052213189600829124931767127478
absolute error = 1.5706993e-24
relative error = 1.4211626875582633195303873135873e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9903
y[1] (analytic) = -1.1052011637371353376108014600956
y[1] (numeric) = -1.1052011637371353376107998731045
absolute error = 1.5869911e-24
relative error = 1.4359296317004739942995493423265e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9902
y[1] (analytic) = -1.1051810068970068888875201586078
y[1] (numeric) = -1.1051810068970068888875185553265
absolute error = 1.6032813e-24
relative error = 1.4506956688493033976037099648081e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9901
y[1] (analytic) = -1.1051608484395193049041998048316
y[1] (numeric) = -1.1051608484395193049041981852615
absolute error = 1.6195701e-24
relative error = 1.4654609799893142873179933034563e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.99
y[1] (analytic) = -1.1051406883644943008915050378617
y[1] (numeric) = -1.1051406883644943008915034020044
absolute error = 1.6358573e-24
relative error = 1.4802253841734096785276026082305e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9899
y[1] (analytic) = -1.1051205266717535687267177615826
y[1] (numeric) = -1.1051205266717535687267161094396
absolute error = 1.6521430e-24
relative error = 1.4949889719048941299962793128497e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9898
y[1] (analytic) = -1.1051003633611187769305548611536
y[1] (numeric) = -1.1051003633611187769305531927263
absolute error = 1.6684273e-24
relative error = 1.5097518336936789734344483082911e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9897
y[1] (analytic) = -1.1050801984324115706639855844669
y[1] (numeric) = -1.105080198432411570663983899757
absolute error = 1.6847099e-24
relative error = 1.5245136980916046034420464122290e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 2.182
x[1] = -1.9896
y[1] (analytic) = -1.105060031885453571725048588612
y[1] (numeric) = -1.105060031885453571725046887621
absolute error = 1.7009910e-24
relative error = 1.5392747460948062089526306970266e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9895
y[1] (analytic) = -1.1050398637200663785456686513744
y[1] (numeric) = -1.1050398637200663785456669341037
absolute error = 1.7172707e-24
relative error = 1.5540350682181603762607232968026e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9894
y[1] (analytic) = -1.1050196939360715661884730478027
y[1] (numeric) = -1.1050196939360715661884713142539
absolute error = 1.7335488e-24
relative error = 1.5687944834947806589065051514069e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9893
y[1] (analytic) = -1.1049995225332906863436075918741
y[1] (numeric) = -1.1049995225332906863436058420488
absolute error = 1.7498253e-24
relative error = 1.5835529919401231542494535323249e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9892
y[1] (analytic) = -1.1049793495115452673255523432903
y[1] (numeric) = -1.1049793495115452673255505771899
absolute error = 1.7661004e-24
relative error = 1.5983107745685043454636036069867e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9891
y[1] (analytic) = -1.1049591748706568140699369794342
y[1] (numeric) = -1.1049591748706568140699351970603
absolute error = 1.7823739e-24
relative error = 1.6130676504031375720499926333233e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.989
y[1] (analytic) = -1.1049389986104468081303558325205
y[1] (numeric) = -1.1049389986104468081303540338747
absolute error = 1.7986458e-24
relative error = 1.6278236194594882669728635996625e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9889
y[1] (analytic) = -1.1049188207307367076751825919704
y[1] (numeric) = -1.1049188207307367076751807770541
absolute error = 1.8149163e-24
relative error = 1.6425788627617975859335968705638e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9888
y[1] (analytic) = -1.1048986412313479474843846720421
y[1] (numeric) = -1.1048986412313479474843828408569
absolute error = 1.8311852e-24
relative error = 1.6573331993233751891625401706488e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9887
y[1] (analytic) = -1.10487846011210193894633724475
y[1] (numeric) = -1.1048784601121019389463353972975
absolute error = 1.8474525e-24
relative error = 1.6720866291596958517816999798353e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9886
y[1] (analytic) = -1.1048582773728200700546369381024
y[1] (numeric) = -1.1048582773728200700546350743841
absolute error = 1.8637183e-24
relative error = 1.6868392427955829807573048811272e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 2.182
x[1] = -1.9885
y[1] (analytic) = -1.1048380930133237054049151996909
y[1] (numeric) = -1.1048380930133237054049133197083
absolute error = 1.8799826e-24
relative error = 1.7015910402514773739431937868563e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.182
x[1] = -1.9884
y[1] (analytic) = -1.1048179070334341861916513256624
y[1] (numeric) = -1.1048179070334341861916494294171
absolute error = 1.8962453e-24
relative error = 1.7163419310351705806568101976752e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.182
memory used=19.0MB, alloc=4.2MB, time=1.09
x[1] = -1.9883
y[1] (analytic) = -1.1047977194329728302049851551059
y[1] (numeric) = -1.1047977194329728302049832425995
absolute error = 1.9125064e-24
relative error = 1.7310919151621494560193566949356e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9882
y[1] (analytic) = -1.1047775302117609318275294298863
y[1] (numeric) = -1.1047775302117609318275275011203
absolute error = 1.9287660e-24
relative error = 1.7458410831638647333879398346172e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9881
y[1] (analytic) = -1.1047573393696197620311818199557
y[1] (numeric) = -1.1047573393696197620311798749316
absolute error = 1.9450241e-24
relative error = 1.7605894350607716143700809192635e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.988
y[1] (analytic) = -1.1047371469063705683739366141761
y[1] (numeric) = -1.1047371469063705683739346528955
absolute error = 1.9612806e-24
relative error = 1.7753368803540592656945743727035e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9879
y[1] (analytic) = -1.1047169528218345749966960766841
y[1] (numeric) = -1.1047169528218345749966940991486
absolute error = 1.9775355e-24
relative error = 1.7900834190592266335466063148963e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9878
y[1] (analytic) = -1.10469675711583298262008146883
y[1] (numeric) = -1.1046967571158329826200794750411
absolute error = 1.9937889e-24
relative error = 1.8048291417143548810070278650644e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9877
y[1] (analytic) = -1.1046765597881869685412437367235
y[1] (numeric) = -1.1046765597881869685412417266828
absolute error = 2.0100407e-24
relative error = 1.8195739578156790762070176216081e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9876
y[1] (analytic) = -1.1046563608387176866306738644181
y[1] (numeric) = -1.1046563608387176866306718381272
absolute error = 2.0262909e-24
relative error = 1.8343178673787069507541871959171e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9875
y[1] (analytic) = -1.1046361602672462673290128927666
y[1] (numeric) = -1.104636160267246267329010850227
absolute error = 2.0425396e-24
relative error = 1.8490609609464942376349980545560e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 2.181
x[1] = -1.9874
y[1] (analytic) = -1.1046159580735938176438616039791
y[1] (numeric) = -1.1046159580735938176438595451924
absolute error = 2.0587867e-24
relative error = 1.8638031480103201722903891804448e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9873
y[1] (analytic) = -1.1045957542575814211465898719169
y[1] (numeric) = -1.1045957542575814211465877968847
absolute error = 2.0750322e-24
relative error = 1.8785444285857012776439537693953e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9872
y[1] (analytic) = -1.1045755488190301379691456781539
y[1] (numeric) = -1.1045755488190301379691435868778
absolute error = 2.0912761e-24
relative error = 1.8932848026881568148197249172141e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9871
y[1] (analytic) = -1.1045553417577610048008637938379
y[1] (numeric) = -1.1045553417577610048008616863194
absolute error = 2.1075185e-24
relative error = 1.9080243608673778013306531628432e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.987
y[1] (analytic) = -1.1045351330735950348852741273846
y[1] (numeric) = -1.1045351330735950348852720036253
absolute error = 2.1237593e-24
relative error = 1.9227630126080328030733605003678e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9869
y[1] (analytic) = -1.1045149227663532180169097380363
y[1] (numeric) = -1.1045149227663532180169075980377
absolute error = 2.1399986e-24
relative error = 1.9375008484631319357311370528512e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9868
y[1] (analytic) = -1.104494710835856520538114515318
y[1] (numeric) = -1.1044947108358565205381123590818
absolute error = 2.1562362e-24
relative error = 1.9522376873748986985799522765710e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9867
y[1] (analytic) = -1.104474497281925885335850524424
y[1] (numeric) = -1.1044744972819258853358483519518
absolute error = 2.1724722e-24
relative error = 1.9669736198946920734367361391633e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9866
y[1] (analytic) = -1.1044542821043822318385050175661
y[1] (numeric) = -1.1044542821043822318385028288595
absolute error = 2.1887066e-24
relative error = 1.9817086460380483441983581896147e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9865
y[1] (analytic) = -1.1044340653030464560126971113181
y[1] (numeric) = -1.1044340653030464560126949063786
absolute error = 2.2049395e-24
relative error = 1.9964428563646169929997919063521e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9864
y[1] (analytic) = -1.104413846877739430360084129987
y[1] (numeric) = -1.1044138468777394303600819088163
absolute error = 2.2211707e-24
relative error = 2.0111760698033764619580399093074e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 2.181
x[1] = -1.9863
y[1] (analytic) = -1.1043936268282820039141676150463
y[1] (numeric) = -1.104393626828282003914165377646
absolute error = 2.2374003e-24
relative error = 2.0259083769123243290291872982449e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9862
y[1] (analytic) = -1.1043734051544950022370990006615
y[1] (numeric) = -1.1043734051544950022370967470331
absolute error = 2.2536284e-24
relative error = 2.0406398682560916422907356336950e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9861
y[1] (analytic) = -1.1043531818561992274164849553421
y[1] (numeric) = -1.1043531818561992274164826854873
absolute error = 2.2698548e-24
relative error = 2.0553703627537189874364344116819e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.986
y[1] (analytic) = -1.1043329569332154580621923897538
y[1] (numeric) = -1.1043329569332154580621901036741
absolute error = 2.2860797e-24
relative error = 2.0701000415205852477681591103077e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9859
y[1] (analytic) = -1.1043127303853644493031531307208
y[1] (numeric) = -1.1043127303853644493031508284179
absolute error = 2.3023029e-24
relative error = 2.0848287234691038353682050531313e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9858
y[1] (analytic) = -1.1042925022124669327841682614553
y[1] (numeric) = -1.1042925022124669327841659429308
absolute error = 2.3185245e-24
relative error = 2.0995564991655749469312471717132e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.2MB, time=1.31
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9857
y[1] (analytic) = -1.1042722724143436166627121280435
y[1] (numeric) = -1.1042722724143436166627097932989
absolute error = 2.3347446e-24
relative error = 2.1142834591829361308747889555937e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9856
y[1] (analytic) = -1.1042520409908151856057360122233
y[1] (numeric) = -1.1042520409908151856057336612603
absolute error = 2.3509630e-24
relative error = 2.1290094224236571335335213248387e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9855
y[1] (analytic) = -1.1042318079417023007864714704865
y[1] (numeric) = -1.1042318079417023007864691033067
absolute error = 2.3671798e-24
relative error = 2.1437344794590220569675640259927e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9854
y[1] (analytic) = -1.104211573266825599881233339538
y[1] (numeric) = -1.1042115732668255998812309561429
absolute error = 2.3833951e-24
relative error = 2.1584587208669546854910523835757e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9853
y[1] (analytic) = -1.1041913369660056970662224081454
y[1] (numeric) = -1.1041913369660056970662200085368
absolute error = 2.3996086e-24
relative error = 2.1731818749759633397559681075362e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9852
y[1] (analytic) = -1.1041710990390631830143277554135
y[1] (numeric) = -1.104171099039063183014325339593
absolute error = 2.4158205e-24
relative error = 2.1879041229230122249635661976365e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 2.181
x[1] = -1.9851
y[1] (analytic) = -1.1041508594858186248919287555148
y[1] (numeric) = -1.104150859485818624891926323484
absolute error = 2.4320308e-24
relative error = 2.2026254647236782393120405188604e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.985
y[1] (analytic) = -1.1041306183060925663556967489111
y[1] (numeric) = -1.1041306183060925663556943006716
absolute error = 2.4482395e-24
relative error = 2.2173459003935410319816508228677e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9849
y[1] (analytic) = -1.104110375499705527549396380099
y[1] (numeric) = -1.1041103754997055275493939156524
absolute error = 2.4644466e-24
relative error = 2.2320654299481830037173348380839e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9848
y[1] (analytic) = -1.1040901310664780051006866019127
y[1] (numeric) = -1.1040901310664780051006841212607
absolute error = 2.4806520e-24
relative error = 2.2467839628308735278956934477017e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9847
y[1] (analytic) = -1.1040698850062304721179213464177
y[1] (numeric) = -1.1040698850062304721179188495619
absolute error = 2.4968558e-24
relative error = 2.2615015896261945206495684756387e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9846
y[1] (analytic) = -1.1040496373187833781869498624286
y[1] (numeric) = -1.1040496373187833781869473493706
absolute error = 2.5130580e-24
relative error = 2.2762183103497360576875223211949e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9845
y[1] (analytic) = -1.1040293880039571493679167196854
y[1] (numeric) = -1.1040293880039571493679141904269
absolute error = 2.5292585e-24
relative error = 2.2909340344397919521990819294653e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9844
y[1] (analytic) = -1.104009137061572188192061479721
y[1] (numeric) = -1.1040091370615721881920589342636
absolute error = 2.5454574e-24
relative error = 2.3056488524859338686342099378471e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9843
y[1] (analytic) = -1.1039888844914488736585180334542
y[1] (numeric) = -1.1039888844914488736585154717995
absolute error = 2.5616547e-24
relative error = 2.3203627645037595622253224012535e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9842
y[1] (analytic) = -1.1039686302934075612311136055413
y[1] (numeric) = -1.103968630293407561231111027691
absolute error = 2.5778503e-24
relative error = 2.3350756799265855402636360400691e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.9841
y[1] (analytic) = -1.1039483744672685828351674255213
y[1] (numeric) = -1.1039483744672685828351648314771
absolute error = 2.5940442e-24
relative error = 2.3497875987650289149856693645741e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 2.181
x[1] = -1.984
y[1] (analytic) = -1.103928117012852246854289065787
y[1] (numeric) = -1.1039281170128522468542864555504
absolute error = 2.6102366e-24
relative error = 2.3644987022009249892062198314796e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9839
y[1] (analytic) = -1.1039078579299788381271764464165
y[1] (numeric) = -1.1039078579299788381271738199893
absolute error = 2.6264272e-24
relative error = 2.3792087184930564728409020828429e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9838
y[1] (analytic) = -1.1038875972184686179444135069001
y[1] (numeric) = -1.1038875972184686179444108642839
absolute error = 2.6426162e-24
relative error = 2.3939178288249252613571375338786e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9837
y[1] (analytic) = -1.1038673348781418240452675447941
y[1] (numeric) = -1.1038673348781418240452648859906
absolute error = 2.6588035e-24
relative error = 2.4086259426215476916210315048847e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9836
y[1] (analytic) = -1.1038470709088186706144862213384
y[1] (numeric) = -1.1038470709088186706144835463492
absolute error = 2.6749892e-24
relative error = 2.4233331504858092233007169889213e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9835
y[1] (analytic) = -1.1038268053103193482790942340693
y[1] (numeric) = -1.1038268053103193482790915428961
absolute error = 2.6911732e-24
relative error = 2.4380393618394048821411046164462e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9834
y[1] (analytic) = -1.1038065380824640241051896564639
y[1] (numeric) = -1.1038065380824640241051869491083
absolute error = 2.7073556e-24
relative error = 2.4527446672885505273505107517687e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9833
y[1] (analytic) = -1.1037862692250728415947399446482
y[1] (numeric) = -1.1037862692250728415947372211119
absolute error = 2.7235363e-24
relative error = 2.4674489762516190962192664235851e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9832
y[1] (analytic) = -1.103765998737965920682377611205
y[1] (numeric) = -1.1037659987379659206823748714897
absolute error = 2.7397153e-24
relative error = 2.4821522887392443492961021202159e-22 %
h = 0.0001
memory used=26.7MB, alloc=4.2MB, time=1.54
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9831
y[1] (analytic) = -1.1037457266209633577321955661144
y[1] (numeric) = -1.1037457266209633577321928102217
absolute error = 2.7558927e-24
relative error = 2.4968546953626389168896473431172e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.983
y[1] (analytic) = -1.1037254528738852255345421248616
y[1] (numeric) = -1.1037254528738852255345393527932
absolute error = 2.7720684e-24
relative error = 2.5115561055351908531250609037663e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 2.181
x[1] = -1.9829
y[1] (analytic) = -1.1037051774965515733028156837472
y[1] (numeric) = -1.1037051774965515733028128955048
absolute error = 2.7882424e-24
relative error = 2.5262565192675392794603231871421e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9828
y[1] (analytic) = -1.1036849004887824266702590624328
y[1] (numeric) = -1.1036849004887824266702562580181
absolute error = 2.8044147e-24
relative error = 2.5409559365703249100000876401890e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9827
y[1] (analytic) = -1.103664621850397787686753513758
y[1] (numeric) = -1.1036646218503977876867506931726
absolute error = 2.8205854e-24
relative error = 2.5556544480614252753842263768551e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9826
y[1] (analytic) = -1.1036443415812176348156124008617
y[1] (numeric) = -1.1036443415812176348156095641073
absolute error = 2.8367544e-24
relative error = 2.5703519631475790001225566969117e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9825
y[1] (analytic) = -1.1036240596810619229303745416438
y[1] (numeric) = -1.1036240596810619229303716887222
absolute error = 2.8529216e-24
relative error = 2.5850483912288667963894005917575e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9824
y[1] (analytic) = -1.1036037761497505833115972206009
y[1] (numeric) = -1.1036037761497505833115943515137
absolute error = 2.8690872e-24
relative error = 2.5997439135354017060623930174431e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9823
y[1] (analytic) = -1.1035834909871035236436488680703
y[1] (numeric) = -1.1035834909871035236436459828192
absolute error = 2.8852511e-24
relative error = 2.6144384394689327982342449175359e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9822
y[1] (analytic) = -1.1035632041929406280115014069182
y[1] (numeric) = -1.1035632041929406280114985055049
absolute error = 2.9014133e-24
relative error = 2.6291319690401109339345875133033e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9821
y[1] (analytic) = -1.1035429157670817568975222667062
y[1] (numeric) = -1.1035429157670817568975193491323
absolute error = 2.9175739e-24
relative error = 2.6438245928768165634656582589128e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.982
y[1] (analytic) = -1.1035226257093467471782660653698
y[1] (numeric) = -1.1035226257093467471782631316371
absolute error = 2.9337327e-24
relative error = 2.6585161297569138929398751739323e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9819
y[1] (analytic) = -1.1035023340195554121212659584465
y[1] (numeric) = -1.1035023340195554121212630085566
absolute error = 2.9498899e-24
relative error = 2.6732067609271810929443077115770e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 2.181
x[1] = -1.9818
y[1] (analytic) = -1.1034820406975275413818246558848
y[1] (numeric) = -1.1034820406975275413818216898394
absolute error = 2.9660454e-24
relative error = 2.6878963957810479956355045894796e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9817
y[1] (analytic) = -1.1034617457430829009998051064719
y[1] (numeric) = -1.1034617457430829009998021242728
absolute error = 2.9821991e-24
relative error = 2.7025849437052802766924061869422e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9816
y[1] (analytic) = -1.1034414491560412333964208499142
y[1] (numeric) = -1.103441449156041233396417851563
absolute error = 2.9983512e-24
relative error = 2.7172725859566595220523031627066e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9815
y[1] (analytic) = -1.1034211509362222573710260366043
y[1] (numeric) = -1.1034211509362222573710230221028
absolute error = 3.0145015e-24
relative error = 2.7319591412963935354058426068433e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9814
y[1] (analytic) = -1.1034008510834456680979051151119
y[1] (numeric) = -1.1034008510834456680979020844617
absolute error = 3.0306502e-24
relative error = 2.7466447909879348012106806197663e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9813
y[1] (analytic) = -1.1033805495975311371230621874316
y[1] (numeric) = -1.1033805495975311371230591406345
absolute error = 3.0467971e-24
relative error = 2.7613293537858258286743325648496e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9812
y[1] (analytic) = -1.1033602464782983123610100320245
y[1] (numeric) = -1.1033602464782983123610069690822
absolute error = 3.0629423e-24
relative error = 2.7760129203279612315439332434341e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9811
y[1] (analytic) = -1.103339941725566818091558794687
y[1] (numeric) = -1.1033399417255668180915557156012
absolute error = 3.0790858e-24
relative error = 2.7906954906250094254539003990370e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.981
y[1] (analytic) = -1.1033196353391562549566043472836
y[1] (numeric) = -1.1033196353391562549566012520561
absolute error = 3.0952275e-24
relative error = 2.8053769740520740861636234207495e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9809
y[1] (analytic) = -1.1032993273188861999569163143786
y[1] (numeric) = -1.1032993273188861999569132030111
absolute error = 3.1113675e-24
relative error = 2.8200574612520565713362235259266e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9808
y[1] (analytic) = -1.1032790176645762064489257678012
y[1] (numeric) = -1.1032790176645762064489226402955
absolute error = 3.1275057e-24
relative error = 2.8347368615967263793607651460280e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 2.181
x[1] = -1.9807
y[1] (analytic) = -1.1032587063760458041415125891809
y[1] (numeric) = -1.1032587063760458041415094455386
absolute error = 3.1436423e-24
relative error = 2.8494153563728952898737242524687e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
memory used=30.5MB, alloc=4.3MB, time=1.76
x[1] = -1.9806
y[1] (analytic) = -1.1032383934531144990927925004868
y[1] (numeric) = -1.1032383934531144990927893407096
absolute error = 3.1597772e-24
relative error = 2.8640928549540044883774002692522e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9805
y[1] (analytic) = -1.1032180788956017737069037626082
y[1] (numeric) = -1.1032180788956017737069005866979
absolute error = 3.1759103e-24
relative error = 2.8787692667068216213951924184910e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9804
y[1] (analytic) = -1.103197762703327086730793542011
y[1] (numeric) = -1.1031977627033270867307903499693
absolute error = 3.1920417e-24
relative error = 2.8934446822825969266183795857907e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9803
y[1] (analytic) = -1.1031774448761098732510039455049
y[1] (numeric) = -1.1031774448761098732510007373336
absolute error = 3.2081713e-24
relative error = 2.9081190110447619175893327033031e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9802
y[1] (analytic) = -1.1031571254137695446904577231592
y[1] (numeric) = -1.1031571254137695446904544988599
absolute error = 3.2242993e-24
relative error = 2.9227924342968255816108588420691e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9801
y[1] (analytic) = -1.1031368043161254888052436393997
y[1] (numeric) = -1.1031368043161254888052403989743
absolute error = 3.2404254e-24
relative error = 2.9374646801027160201196498729094e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.98
y[1] (analytic) = -1.103116481582997069681401512326
y[1] (numeric) = -1.1031164815829970696813982557761
absolute error = 3.2565499e-24
relative error = 2.9521360204198720069656003278205e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9799
y[1] (analytic) = -1.1030961572142036277317069212817
y[1] (numeric) = -1.1030961572142036277317036486091
absolute error = 3.2726726e-24
relative error = 2.9668062739561328499319647433919e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9798
y[1] (analytic) = -1.1030758312095644796924555827161
y[1] (numeric) = -1.1030758312095644796924522939225
absolute error = 3.2887936e-24
relative error = 2.9814755313727734385942476543350e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9797
y[1] (analytic) = -1.1030555035688989186202473943707
y[1] (numeric) = -1.103055503568898918620244089458
absolute error = 3.3049127e-24
relative error = 2.9961436113659433322848415798200e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 2.181
x[1] = -1.9796
y[1] (analytic) = -1.1030351742920262138887701478294
y[1] (numeric) = -1.1030351742920262138887668267992
absolute error = 3.3210302e-24
relative error = 3.0108107859131283926348450436937e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9795
y[1] (analytic) = -1.1030148433787656111855829094648
y[1] (numeric) = -1.1030148433787656111855795723189
absolute error = 3.3371459e-24
relative error = 3.0254768737088095584238988439248e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9794
y[1] (analytic) = -1.1029945108289363325088990698204
y[1] (numeric) = -1.1029945108289363325088957165606
absolute error = 3.3532598e-24
relative error = 3.0401418747586657924805290468586e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9793
y[1] (analytic) = -1.1029741766423575761643690614617
y[1] (numeric) = -1.1029741766423575761643656920897
absolute error = 3.3693720e-24
relative error = 3.0548058797323304688526788280831e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9792
y[1] (analytic) = -1.1029538408188485167618627453339
y[1] (numeric) = -1.1029538408188485167618593598515
absolute error = 3.3854824e-24
relative error = 3.0694687979748726633305504328277e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9791
y[1] (analytic) = -1.1029335033582283052122514656625
y[1] (numeric) = -1.1029335033582283052122480640714
absolute error = 3.4015911e-24
relative error = 3.0841307201592706347087036350944e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.979
y[1] (analytic) = -1.1029131642603160687241897734317
y[1] (numeric) = -1.1029131642603160687241863557337
absolute error = 3.4176980e-24
relative error = 3.0987915556272522325641561302399e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9789
y[1] (analytic) = -1.1028928235249309108008968184787
y[1] (numeric) = -1.1028928235249309108008933846756
absolute error = 3.4338031e-24
relative error = 3.1134513043844997176622341019105e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9788
y[1] (analytic) = -1.1028724811518919112369374102383
y[1] (numeric) = -1.1028724811518919112369339603319
absolute error = 3.4499064e-24
relative error = 3.1281099664366957748387396238296e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9787
y[1] (analytic) = -1.1028521371410181261150027471762
y[1] (numeric) = -1.1028521371410181261149992811682
absolute error = 3.4660080e-24
relative error = 3.1427676324635101991511234809024e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9786
y[1] (analytic) = -1.102831791492128587802690814945
y[1] (numeric) = -1.1028317914921285878026873328372
absolute error = 3.4821078e-24
relative error = 3.1574242117999854445190264041558e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 2.181
x[1] = -1.9785
y[1] (analytic) = -1.1028114442050423049492864533021
y[1] (numeric) = -1.1028114442050423049492829550963
absolute error = 3.4982058e-24
relative error = 3.1720797044518060568079762662676e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9784
y[1] (analytic) = -1.1027910952795782624825410918239
y[1] (numeric) = -1.1027910952795782624825375775218
absolute error = 3.5143021e-24
relative error = 3.1867342011036626923993698932359e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9783
y[1] (analytic) = -1.1027707447155554216054521544533
y[1] (numeric) = -1.1027707447155554216054486240567
absolute error = 3.5303966e-24
relative error = 3.2013876110855818444048105704236e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9782
y[1] (analytic) = -1.1027503925127927197930421329182
y[1] (numeric) = -1.1027503925127927197930385864289
absolute error = 3.5464893e-24
relative error = 3.2160399344032499197464086343190e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9781
y[1] (analytic) = -1.1027300386711090707891373290564
y[1] (numeric) = -1.1027300386711090707891337664763
absolute error = 3.5625801e-24
relative error = 3.2306910803783272937746405993370e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
memory used=34.3MB, alloc=4.3MB, time=2.00
x[1] = -1.978
y[1] (analytic) = -1.1027096831903233646031462660842
y[1] (numeric) = -1.102709683190323364603142687415
absolute error = 3.5786692e-24
relative error = 3.2453412303828801490158092651445e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9779
y[1] (analytic) = -1.1026893260702544675068377688451
y[1] (numeric) = -1.1026893260702544675068341740886
absolute error = 3.5947565e-24
relative error = 3.2599902937402434943274489898525e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9778
y[1] (analytic) = -1.1026689673107212220311187130762
y[1] (numeric) = -1.1026689673107212220311151022342
absolute error = 3.6108420e-24
relative error = 3.2746382704561054314082368604696e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9777
y[1] (analytic) = -1.102648606911542446962811443728
y[1] (numeric) = -1.1026486069115424469628078168023
absolute error = 3.6269257e-24
relative error = 3.2892851605361544854720558859801e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9776
y[1] (analytic) = -1.1026282448725369373414308623756
y[1] (numeric) = -1.102628244872536937341427219368
absolute error = 3.6430076e-24
relative error = 3.3039309639860796051729514670413e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9775
y[1] (analytic) = -1.1026078811935234644559611837577
y[1] (numeric) = -1.10260788119352346445595752467
absolute error = 3.6590877e-24
relative error = 3.3185756808115701625300145256769e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9774
y[1] (analytic) = -1.10258751587432077584163236148
y[1] (numeric) = -1.102587515874320775841628686314
absolute error = 3.6751660e-24
relative error = 3.3332193110183159528521912538111e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 2.181
x[1] = -1.9773
y[1] (analytic) = -1.1025671489147475952766961829214
y[1] (numeric) = -1.1025671489147475952766924916789
absolute error = 3.6912425e-24
relative error = 3.3478618546120071946630194394655e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9772
y[1] (analytic) = -1.1025467803146226227792020333785
y[1] (numeric) = -1.1025467803146226227791983260613
absolute error = 3.7073172e-24
relative error = 3.3625033115983345296252913294226e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9771
y[1] (analytic) = -1.1025264100737645346037723294868
y[1] (numeric) = -1.1025264100737645346037686060967
absolute error = 3.7233901e-24
relative error = 3.3771436819829890224656429871355e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.977
y[1] (analytic) = -1.1025060381919919832383776219549
y[1] (numeric) = -1.1025060381919919832383738824937
absolute error = 3.7394612e-24
relative error = 3.3917829657716621608990701046438e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9769
y[1] (analytic) = -1.1024856646691235974011113676496
y[1] (numeric) = -1.1024856646691235974011076121192
absolute error = 3.7555304e-24
relative error = 3.4064210722659186231944303769667e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9768
y[1] (analytic) = -1.1024652895049779820369643710693
y[1] (numeric) = -1.1024652895049779820369605994714
absolute error = 3.7715979e-24
relative error = 3.4210581828780288631646966695745e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9767
y[1] (analytic) = -1.1024449126993737183145988952416
y[1] (numeric) = -1.1024449126993737183145951075782
absolute error = 3.7876634e-24
relative error = 3.4356940254962743157885954230879e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9766
y[1] (analytic) = -1.1024245342521293636231224420853
y[1] (numeric) = -1.1024245342521293636231186383581
absolute error = 3.8037272e-24
relative error = 3.4503288722437582989700549302949e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9765
y[1] (analytic) = -1.1024041541630634515688612022709
y[1] (numeric) = -1.1024041541630634515688573824817
absolute error = 3.8197892e-24
relative error = 3.4649626324203702461741695650928e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9764
y[1] (analytic) = -1.1023837724319944919721331746197
y[1] (numeric) = -1.1023837724319944919721293387704
absolute error = 3.8358493e-24
relative error = 3.4795952153192926652493182923376e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9763
y[1] (analytic) = -1.1023633890587409708640209550782
y[1] (numeric) = -1.1023633890587409708640171031706
absolute error = 3.8519076e-24
relative error = 3.4942267116553756762493205644718e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 2.181
x[1] = -1.9762
y[1] (analytic) = -1.1023430040431213504831441953046
y[1] (numeric) = -1.1023430040431213504831403273405
absolute error = 3.8679641e-24
relative error = 3.5088571214343129647796581274099e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9761
y[1] (analytic) = -1.1023226173849540692724317309064
y[1] (numeric) = -1.1023226173849540692724278468877
absolute error = 3.8840187e-24
relative error = 3.5234863539442551327269694415174e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.976
y[1] (analytic) = -1.1023022290840575418758933793661
y[1] (numeric) = -1.1023022290840575418758894792946
absolute error = 3.9000715e-24
relative error = 3.5381144999050843725205991653151e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9759
y[1] (analytic) = -1.1022818391402501591353914076922
y[1] (numeric) = -1.1022818391402501591353874915698
absolute error = 3.9161224e-24
relative error = 3.5527414686015954978114468011097e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9758
y[1] (analytic) = -1.102261447553350288087411669835
y[1] (numeric) = -1.1022614475533502880874077376635
absolute error = 3.9321715e-24
relative error = 3.5673673507570262037341971873354e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9757
y[1] (analytic) = -1.1022410543231762719598344139027
y[1] (numeric) = -1.1022410543231762719598304656839
absolute error = 3.9482188e-24
relative error = 3.5819921463770711011317971370103e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9756
y[1] (analytic) = -1.1022206594495464301687047592179
y[1] (numeric) = -1.1022206594495464301687007949537
absolute error = 3.9642642e-24
relative error = 3.5966157647414901359347294178418e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9755
y[1] (analytic) = -1.102200262932279058315002843251
y[1] (numeric) = -1.1022002629322790583149988629432
absolute error = 3.9803078e-24
relative error = 3.6112382965785560315124193182801e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=2.23
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9754
y[1] (analytic) = -1.1021798647711924281814136384692
y[1] (numeric) = -1.1021798647711924281814096421197
absolute error = 3.9963495e-24
relative error = 3.6258596511646709700489538020542e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9753
y[1] (analytic) = -1.102159464966104787729096439139
y[1] (numeric) = -1.1021594649661047877290924267496
absolute error = 4.0123894e-24
relative error = 3.6404799192314651488569418234356e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9752
y[1] (analytic) = -1.1021390635168343610944540181197
y[1] (numeric) = -1.1021390635168343610944499896923
absolute error = 4.0284274e-24
relative error = 3.6550990100519821956467687753163e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 2.181
x[1] = -1.9751
y[1] (analytic) = -1.1021186604231993485859014536873
y[1] (numeric) = -1.1021186604231993485858974092237
absolute error = 4.0444636e-24
relative error = 3.6697170143612105705820610248117e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.975
y[1] (analytic) = -1.1020982556850179266806346264257
y[1] (numeric) = -1.1020982556850179266806305659279
absolute error = 4.0604978e-24
relative error = 3.6843337506928230576872804865367e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9749
y[1] (analytic) = -1.1020778493021082480213983862247
y[1] (numeric) = -1.1020778493021082480213943096944
absolute error = 4.0765303e-24
relative error = 3.6989494912555100721175596207148e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9748
y[1] (analytic) = -1.1020574412742884414132543894211
y[1] (numeric) = -1.1020574412742884414132502968602
absolute error = 4.0925609e-24
relative error = 3.7135640545812641569747538237638e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9747
y[1] (analytic) = -1.1020370316013766118203486061241
y[1] (numeric) = -1.1020370316013766118203444975346
absolute error = 4.1085895e-24
relative error = 3.7281773499296879226501401443295e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9746
y[1] (analytic) = -1.102016620283190840362678497761
y[1] (numeric) = -1.1020166202831908403626743731446
absolute error = 4.1246164e-24
relative error = 3.7427896495245926997456677787456e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9745
y[1] (analytic) = -1.1019962073195491843128598648822
y[1] (numeric) = -1.1019962073195491843128557242409
absolute error = 4.1406413e-24
relative error = 3.7574006811434748225081854243915e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9744
y[1] (analytic) = -1.1019757927102696770928933652652
y[1] (numeric) = -1.1019757927102696770928892086008
absolute error = 4.1566644e-24
relative error = 3.7720106262741343690835888229074e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9743
y[1] (analytic) = -1.1019553764551703282709307023544
y[1] (numeric) = -1.1019553764551703282709265296688
absolute error = 4.1726856e-24
relative error = 3.7866193941744907892863025391648e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9742
y[1] (analytic) = -1.1019349585540691235580404840765
y[1] (numeric) = -1.1019349585540691235580362953716
absolute error = 4.1887049e-24
relative error = 3.8012269848451958233106980826969e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.9741
y[1] (analytic) = -1.1019145390067840248049737520697
y[1] (numeric) = -1.1019145390067840248049695473474
absolute error = 4.2047223e-24
relative error = 3.8158333982869004431698258775911e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 2.181
x[1] = -1.974
y[1] (analytic) = -1.1018941178131329699989291813655
y[1] (numeric) = -1.1018941178131329699989249606276
absolute error = 4.2207379e-24
relative error = 3.8304387252530761836675219006578e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9739
y[1] (analytic) = -1.1018736949729338732603179505614
y[1] (numeric) = -1.1018736949729338732603137138099
absolute error = 4.2367515e-24
relative error = 3.8450427842404118879684762138529e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9738
y[1] (analytic) = -1.1018532704860046248395282825247
y[1] (numeric) = -1.1018532704860046248395240297614
absolute error = 4.2527633e-24
relative error = 3.8596457567568813513380911835080e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9737
y[1] (analytic) = -1.1018328443521630911136896556638
y[1] (numeric) = -1.1018328443521630911136853868906
absolute error = 4.2687732e-24
relative error = 3.8742475520503117316135449697418e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9736
y[1] (analytic) = -1.1018124165712271145834366858085
y[1] (numeric) = -1.1018124165712271145834324010274
absolute error = 4.2847811e-24
relative error = 3.8888480793617999423350293976529e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9735
y[1] (analytic) = -1.1017919871430145138696726787368
y[1] (numeric) = -1.1017919871430145138696683779496
absolute error = 4.3007872e-24
relative error = 3.9034475202094116795219274629083e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9734
y[1] (analytic) = -1.1017715560673430837103328533868
y[1] (numeric) = -1.1017715560673430837103285365955
absolute error = 4.3167913e-24
relative error = 3.9180456930730082497341901822686e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9733
y[1] (analytic) = -1.1017511233440305949571472357948
y[1] (numeric) = -1.1017511233440305949571429030012
absolute error = 4.3327936e-24
relative error = 3.9326427794773852613740117542113e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9732
y[1] (analytic) = -1.1017306889728947945724032237954
y[1] (numeric) = -1.1017306889728947945723988750015
absolute error = 4.3487939e-24
relative error = 3.9472385978956702304111828272565e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9731
y[1] (analytic) = -1.1017102529537534056257078225268
y[1] (numeric) = -1.1017102529537534056257034577344
absolute error = 4.3647924e-24
relative error = 3.9618333298593902611021252992839e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.973
y[1] (analytic) = -1.1016898152864241272907495507763
y[1] (numeric) = -1.1016898152864241272907451699874
absolute error = 4.3807889e-24
relative error = 3.9764267938349374917660237630671e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 2.181
x[1] = -1.9729
y[1] (analytic) = -1.101669375970724634842060018209
y[1] (numeric) = -1.1016693759707246348420556214255
absolute error = 4.3967835e-24
relative error = 3.9910190805892370933405666455549e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.3MB, time=2.46
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9728
y[1] (analytic) = -1.1016489350064725796517751735163
y[1] (numeric) = -1.1016489350064725796517707607401
absolute error = 4.4127762e-24
relative error = 4.0056101901229300139889546927824e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9727
y[1] (analytic) = -1.1016284923934855891863962235248
y[1] (numeric) = -1.1016284923934855891863917947578
absolute error = 4.4287670e-24
relative error = 4.0202001224366564278874787941178e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9726
y[1] (analytic) = -1.1016080481315812670035502233048
y[1] (numeric) = -1.1016080481315812670035457785489
absolute error = 4.4447559e-24
relative error = 4.0347888775310557348094387315725e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9725
y[1] (analytic) = -1.1015876022205771927487503373176
y[1] (numeric) = -1.1015876022205771927487458765747
absolute error = 4.4607429e-24
relative error = 4.0493764554067665597088757245728e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9724
y[1] (analytic) = -1.1015671546602909221521557716416
y[1] (numeric) = -1.1015671546602909221521512949138
absolute error = 4.4767278e-24
relative error = 4.0639626745049102454077089737468e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9723
y[1] (analytic) = -1.1015467054505399870253313773165
y[1] (numeric) = -1.1015467054505399870253268846056
absolute error = 4.4927109e-24
relative error = 4.0785478071603428961096891223188e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9722
y[1] (analytic) = -1.1015262545911418952580069248444
y[1] (numeric) = -1.1015262545911418952580024161523
absolute error = 4.5086921e-24
relative error = 4.0931317625956270056532620729662e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9721
y[1] (analytic) = -1.1015058020819141308148360498891
y[1] (numeric) = -1.1015058020819141308148315252177
absolute error = 4.5246714e-24
relative error = 4.1077145408113974997963478627353e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.972
y[1] (analytic) = -1.1014853479226741537321548702117
y[1] (numeric) = -1.1014853479226741537321503295631
absolute error = 4.5406486e-24
relative error = 4.1222959602352876905374077442737e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9719
y[1] (analytic) = -1.1014648921132394001147402738838
y[1] (numeric) = -1.1014648921132394001147357172598
absolute error = 4.5566240e-24
relative error = 4.1368762932223740910723534640301e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 2.181
x[1] = -1.9718
y[1] (analytic) = -1.101444434653427282132567878816
y[1] (numeric) = -1.1014444346534272821325633062185
absolute error = 4.5725975e-24
relative error = 4.1514554489884741194970004849997e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9717
y[1] (analytic) = -1.1014239755430551880175696636438
y[1] (numeric) = -1.1014239755430551880175650750749
absolute error = 4.5885689e-24
relative error = 4.1660332459511007396879834090606e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9716
y[1] (analytic) = -1.1014035147819404820603912700098
y[1] (numeric) = -1.1014035147819404820603866654713
absolute error = 4.6045385e-24
relative error = 4.1806099564805018729249895939552e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9715
y[1] (analytic) = -1.1013830523699005046071489762812
y[1] (numeric) = -1.1013830523699005046071443557752
absolute error = 4.6205060e-24
relative error = 4.1951853081975687034425344869388e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9714
y[1] (analytic) = -1.1013625883067525720561863427449
y[1] (numeric) = -1.1013625883067525720561817062732
absolute error = 4.6364717e-24
relative error = 4.2097595734826662035627799537806e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9713
y[1] (analytic) = -1.1013421225923139768548305283177
y[1] (numeric) = -1.1013421225923139768548258758823
absolute error = 4.6524354e-24
relative error = 4.2243325707448686644028286031089e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9712
y[1] (analytic) = -1.1013216552264019874961482788138
y[1] (numeric) = -1.1013216552264019874961436104167
absolute error = 4.6683971e-24
relative error = 4.2389042999797399259153019637466e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9711
y[1] (analytic) = -1.1013011862088338485157015868085
y[1] (numeric) = -1.1013011862088338485156969024517
absolute error = 4.6843568e-24
relative error = 4.2534747611828418534525962277282e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.971
y[1] (analytic) = -1.1012807155394267804883030231387
y[1] (numeric) = -1.1012807155394267804882983228241
absolute error = 4.7003146e-24
relative error = 4.2680440451531040764123320282773e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9709
y[1] (analytic) = -1.1012602432179979800247707400805
y[1] (numeric) = -1.10126024321799798002476602381
absolute error = 4.7162705e-24
relative error = 4.2826121518911485862639944188328e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9708
y[1] (analytic) = -1.1012397692443646197686831462442
y[1] (numeric) = -1.1012397692443646197686784140199
absolute error = 4.7322243e-24
relative error = 4.2971788997841046113512171005974e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 2.181
x[1] = -1.9707
y[1] (analytic) = -1.1012192936183438483931332532272
y[1] (numeric) = -1.101219293618343848393128505051
absolute error = 4.7481762e-24
relative error = 4.3117444704393308616513057892032e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9706
y[1] (analytic) = -1.1011988163397527905974826940645
y[1] (numeric) = -1.1011988163397527905974779299384
absolute error = 4.7641261e-24
relative error = 4.3263087730473227473673570254513e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9705
y[1] (analytic) = -1.1011783374084085471041154135186
y[1] (numeric) = -1.1011783374084085471041106334445
absolute error = 4.7800741e-24
relative error = 4.3408718984154433241480171952284e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9704
y[1] (analytic) = -1.1011578568241281946551910302477
y[1] (numeric) = -1.1011578568241281946551862342276
absolute error = 4.7960201e-24
relative error = 4.3554337557308079923005071214347e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9703
y[1] (analytic) = -1.1011373745867287860093978708943
y[1] (numeric) = -1.1011373745867287860093930589301
absolute error = 4.8119642e-24
relative error = 4.3699944358041546865276091732229e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.3MB, time=2.68
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9702
y[1] (analytic) = -1.1011168906960273499387056761335
y[1] (numeric) = -1.1011168906960273499387008482273
absolute error = 4.8279062e-24
relative error = 4.3845537570023384782063116507120e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9701
y[1] (analytic) = -1.1010964051518408912251179787229
y[1] (numeric) = -1.1010964051518408912251131348766
absolute error = 4.8438463e-24
relative error = 4.3991119009529732579231131102452e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.97
y[1] (analytic) = -1.1010759179539863906574241535935
y[1] (numeric) = -1.1010759179539863906574192938092
absolute error = 4.8597843e-24
relative error = 4.4136686860161524545175887613922e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9699
y[1] (analytic) = -1.1010554291022808050279511400241
y[1] (numeric) = -1.1010554291022808050279462643036
absolute error = 4.8757205e-24
relative error = 4.4282243846481934426697960662383e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9698
y[1] (analytic) = -1.1010349385965410671293148359373
y[1] (numeric) = -1.1010349385965410671293099442827
absolute error = 4.8916546e-24
relative error = 4.4427787243838578705816121036274e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9697
y[1] (analytic) = -1.1010144464365840857511711643617
y[1] (numeric) = -1.101014446436584085751166256775
absolute error = 4.9075867e-24
relative error = 4.4573317960389412301468686665084e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 2.181
x[1] = -1.9696
y[1] (analytic) = -1.1009939526222267456769668120977
y[1] (numeric) = -1.1009939526222267456769618885809
absolute error = 4.9235168e-24
relative error = 4.4718835996089780707252291225819e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9695
y[1] (analytic) = -1.10097345715328590768068964063
y[1] (numeric) = -1.100973457153285907680684701185
absolute error = 4.9394450e-24
relative error = 4.4864342259182119932164855685991e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9694
y[1] (analytic) = -1.1009529600295784085236187693267
y[1] (numeric) = -1.1009529600295784085236138139557
absolute error = 4.9553710e-24
relative error = 4.5009834024760404605874678560906e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9693
y[1] (analytic) = -1.1009324612509210609510743309677
y[1] (numeric) = -1.1009324612509210609510693596726
absolute error = 4.9712951e-24
relative error = 4.5155314017641251745337117771994e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9692
y[1] (analytic) = -1.100911960817130653689166899641
y[1] (numeric) = -1.1009119608171306536891619124237
absolute error = 4.9872173e-24
relative error = 4.5300782237830663768400543823092e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9691
y[1] (analytic) = -1.1008914587280239514415465910501
y[1] (numeric) = -1.1008914587280239514415415879127
absolute error = 5.0031374e-24
relative error = 4.5446236868625109321862908857536e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.969
y[1] (analytic) = -1.1008709549834176948861518352737
y[1] (numeric) = -1.1008709549834176948861468162182
absolute error = 5.0190555e-24
relative error = 4.5591678818300747274068677316753e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9689
y[1] (analytic) = -1.1008504495831286006719578220174
y[1] (numeric) = -1.1008504495831286006719527870458
absolute error = 5.0349716e-24
relative error = 4.5737108086812783924798830974034e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9688
y[1] (analytic) = -1.1008299425269733614157246184003
y[1] (numeric) = -1.1008299425269733614157195675146
absolute error = 5.0508857e-24
relative error = 4.5882524674116405658450879003741e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9687
y[1] (analytic) = -1.1008094338147686456987449593173
y[1] (numeric) = -1.1008094338147686456987398925196
absolute error = 5.0667977e-24
relative error = 4.6027927671744331524612838023171e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9686
y[1] (analytic) = -1.1007889234463310980635917104185
y[1] (numeric) = -1.1007889234463310980635866277108
absolute error = 5.0827077e-24
relative error = 4.6173317988040303237279741705118e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9685
y[1] (analytic) = -1.1007684114214773390108650037474
y[1] (numeric) = -1.1007684114214773390108599051317
absolute error = 5.0986157e-24
relative error = 4.6318695622959441395507900829629e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 2.181
x[1] = -1.9684
y[1] (analytic) = -1.1007478977400239649959390460789
y[1] (numeric) = -1.1007478977400239649959339315572
absolute error = 5.1145217e-24
relative error = 4.6464060576456846651053749048297e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9683
y[1] (analytic) = -1.1007273824017875484257085999995
y[1] (numeric) = -1.1007273824017875484257034695739
absolute error = 5.1304256e-24
relative error = 4.6609411939997435843805037296923e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9682
y[1] (analytic) = -1.1007068654065846376553351377711
y[1] (numeric) = -1.1007068654065846376553299914436
absolute error = 5.1463275e-24
relative error = 4.6754750621992565349986799310241e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9681
y[1] (analytic) = -1.1006863467542317569849926680193
y[1] (numeric) = -1.100686346754231756984987505792
absolute error = 5.1622273e-24
relative error = 4.6900075713873235865139191110052e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.968
y[1] (analytic) = -1.1006658264445454066566132352894
y[1] (numeric) = -1.1006658264445454066566080571642
absolute error = 5.1781252e-24
relative error = 4.7045389032625592212374988160847e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9679
y[1] (analytic) = -1.1006453044773420628506320925101
y[1] (numeric) = -1.1006453044773420628506268984891
absolute error = 5.1940210e-24
relative error = 4.7190688761139618944320208079807e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9678
y[1] (analytic) = -1.1006247808524381776827325464091
y[1] (numeric) = -1.1006247808524381776827273364943
absolute error = 5.2099148e-24
relative error = 4.7335975807894318937180983019890e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9677
y[1] (analytic) = -1.1006042555696501792005904759198
y[1] (numeric) = -1.1006042555696501792005852501133
absolute error = 5.2258065e-24
relative error = 4.7481249264252842496915899696563e-22 %
memory used=49.5MB, alloc=4.3MB, time=2.92
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9676
y[1] (analytic) = -1.1005837286287944713806185236232
y[1] (numeric) = -1.1005837286287944713806132819271
absolute error = 5.2416961e-24
relative error = 4.7626509130119280091539246814584e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9675
y[1] (analytic) = -1.1005632000296874341247099602664
y[1] (numeric) = -1.1005632000296874341247047026826
absolute error = 5.2575838e-24
relative error = 4.7771757222649075586418815673897e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9674
y[1] (analytic) = -1.1005426697721454232569822223985
y[1] (numeric) = -1.1005426697721454232569769489292
absolute error = 5.2734693e-24
relative error = 4.7916990815920027581629822640059e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 2.181
x[1] = -1.9673
y[1] (analytic) = -1.1005221378559847705205201231688
y[1] (numeric) = -1.1005221378559847705205148338159
absolute error = 5.2893529e-24
relative error = 4.8062212635764070910521856359951e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.181
x[1] = -1.9672
y[1] (analytic) = -1.1005016042810217835741187363258
y[1] (numeric) = -1.1005016042810217835741134310915
absolute error = 5.3052343e-24
relative error = 4.8207419956157251418612311582970e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.181
x[1] = -1.9671
y[1] (analytic) = -1.1004810690470727459890259534631
y[1] (numeric) = -1.1004810690470727459890206323494
absolute error = 5.3211137e-24
relative error = 4.8352614594339659336107471032820e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.181
x[1] = -1.967
y[1] (analytic) = -1.1004605321539539172456847145512
y[1] (numeric) = -1.1004605321539539172456793775601
absolute error = 5.3369911e-24
relative error = 4.8497796550266079186656630058194e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.181
x[1] = -1.9669
y[1] (analytic) = -1.1004399936014815327304749117994
y[1] (numeric) = -1.1004399936014815327304695589329
absolute error = 5.3528665e-24
relative error = 4.8642965823891275423402180265026e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.181
x[1] = -1.9668
y[1] (analytic) = -1.1004194533894718037324549668894
y[1] (numeric) = -1.1004194533894718037324495981497
absolute error = 5.3687397e-24
relative error = 4.8788120597681221353421999023194e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.18
x[1] = -1.9667
y[1] (analytic) = -1.100398911517740917440103081624
y[1] (numeric) = -1.1003989115177409174400976970132
absolute error = 5.3846108e-24
relative error = 4.8933261780250206147792640332957e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.18
x[1] = -1.9666
y[1] (analytic) = -1.1003783679861050369380581620317
y[1] (numeric) = -1.1003783679861050369380527615518
absolute error = 5.4004799e-24
relative error = 4.9078390280280339371487954081337e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.18
x[1] = -1.9665
y[1] (analytic) = -1.1003578227943803012038604159712
y[1] (numeric) = -1.1003578227943803012038549996242
absolute error = 5.4163470e-24
relative error = 4.9223506097726287076621637563837e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.18
x[1] = -1.9664
y[1] (analytic) = -1.1003372759423828251046916242777
y[1] (numeric) = -1.1003372759423828251046861920658
absolute error = 5.4322119e-24
relative error = 4.9368607414918187037556254792035e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.18
x[1] = -1.9663
y[1] (analytic) = -1.1003167274299286993941150854941
y[1] (numeric) = -1.1003167274299286993941096374194
absolute error = 5.4480747e-24
relative error = 4.9513695140538058407642253533945e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 2.18
x[1] = -1.9662
y[1] (analytic) = -1.1002961772568339907088152342293
y[1] (numeric) = -1.1002961772568339907088097702938
absolute error = 5.4639355e-24
relative error = 4.9658770183335772764501706663768e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9661
y[1] (analytic) = -1.1002756254229147415653369331861
y[1] (numeric) = -1.1002756254229147415653314533919
absolute error = 5.4797942e-24
relative error = 4.9803831634402721059437285176923e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.966
y[1] (analytic) = -1.1002550719279869703568244389027
y[1] (numeric) = -1.1002550719279869703568189432519
absolute error = 5.4956508e-24
relative error = 4.9948879493642516141583469496646e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9659
y[1] (analytic) = -1.1002345167718666713497600412495
y[1] (numeric) = -1.1002345167718666713497545297442
absolute error = 5.5115053e-24
relative error = 5.0093913760958738664445643764310e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9658
y[1] (analytic) = -1.1002139599543698146807023767244
y[1] (numeric) = -1.1002139599543698146806968493666
absolute error = 5.5273578e-24
relative error = 5.0238935345169054144744968922689e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9657
y[1] (analytic) = -1.1001934014753123463530244155894
y[1] (numeric) = -1.1001934014753123463530188723813
absolute error = 5.5432081e-24
relative error = 5.0383942428365728859573287550461e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9656
y[1] (analytic) = -1.1001728413345101882336511228925
y[1] (numeric) = -1.1001728413345101882336455638362
absolute error = 5.5590563e-24
relative error = 5.0528935919349381698082058793862e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9655
y[1] (analytic) = -1.1001522795317792380497967934163
y[1] (numeric) = -1.1001522795317792380497912185138
absolute error = 5.5749025e-24
relative error = 5.0673916726988540078207829226912e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9654
y[1] (analytic) = -1.1001317160669353693857020605976
y[1] (numeric) = -1.1001317160669353693856964698511
absolute error = 5.5907465e-24
relative error = 5.0818883033273462404568157739433e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9653
y[1] (analytic) = -1.1001111509397944316793705794612
y[1] (numeric) = -1.1001111509397944316793649728728
absolute error = 5.6065884e-24
relative error = 5.0963835747055623377596954525421e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9652
y[1] (analytic) = -1.1000905841501722502193053836101
y[1] (numeric) = -1.1000905841501722502192997611819
absolute error = 5.6224282e-24
relative error = 5.1108774868238377969867942952590e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 2.18
x[1] = -1.9651
memory used=53.4MB, alloc=4.3MB, time=3.15
y[1] (analytic) = -1.1000700156978846261412449163165
y[1] (numeric) = -1.1000700156978846261412392780506
absolute error = 5.6382659e-24
relative error = 5.1253700396725048869072359018648e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.965
y[1] (analytic) = -1.1000494455827473364248987357562
y[1] (numeric) = -1.1000494455827473364248930816547
absolute error = 5.6541015e-24
relative error = 5.1398612332418926466843423357029e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9649
y[1] (analytic) = -1.10002887380457613389068289443
y[1] (numeric) = -1.100028873804576133890677224495
absolute error = 5.6699350e-24
relative error = 5.1543510675223268847576621892638e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9648
y[1] (analytic) = -1.1000083003631867471964549928157
y[1] (numeric) = -1.1000083003631867471964493070493
absolute error = 5.6857664e-24
relative error = 5.1688395425041301777245793431736e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9647
y[1] (analytic) = -1.0999877252583948808342489072936
y[1] (numeric) = -1.099987725258394880834243205698
absolute error = 5.7015956e-24
relative error = 5.1833265672675165073554921890561e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9646
y[1] (analytic) = -1.0999671484900162151270091923901
y[1] (numeric) = -1.0999671484900162151270034749674
absolute error = 5.7174227e-24
relative error = 5.1978122327095060868007111599251e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9645
y[1] (analytic) = -1.0999465700578664062253251573816
y[1] (numeric) = -1.0999465700578664062253194241339
absolute error = 5.7332477e-24
relative error = 5.2122965388204111869886205356661e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9644
y[1] (analytic) = -1.0999259899617610861041646173033
y[1] (numeric) = -1.0999259899617610861041588682327
absolute error = 5.7490706e-24
relative error = 5.2267794855905408423906916188428e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9643
y[1] (analytic) = -1.0999054082015158625596073184066
y[1] (numeric) = -1.0999054082015158625596015535152
absolute error = 5.7648914e-24
relative error = 5.2412610730102008499009547435582e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9642
y[1] (analytic) = -1.0998848247769463192055780381081
y[1] (numeric) = -1.0998848247769463192055722573981
absolute error = 5.7807100e-24
relative error = 5.2557412101510832484002392867875e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.9641
y[1] (analytic) = -1.0998642396878680154705793594747
y[1] (numeric) = -1.0998642396878680154705735629482
absolute error = 5.7965265e-24
relative error = 5.2702199879186946051957116266667e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 2.18
x[1] = -1.964
y[1] (analytic) = -1.0998436529340964865944241202885
y[1] (numeric) = -1.0998436529340964865944183079476
absolute error = 5.8123409e-24
relative error = 5.2846974063033303937798180994006e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9639
y[1] (analytic) = -1.099823064515447243624967536735
y[1] (numeric) = -1.0998230645154472436249617085819
absolute error = 5.8281531e-24
relative error = 5.2991733743715668165778324651428e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9638
y[1] (analytic) = -1.0998024744317357734148390017592
y[1] (numeric) = -1.099802474431735773414833157796
absolute error = 5.8439632e-24
relative error = 5.3136479830340044119509907512168e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9637
y[1] (analytic) = -1.0997818826827775386181735581329
y[1] (numeric) = -1.0997818826827775386181676983617
absolute error = 5.8597712e-24
relative error = 5.3281212322809283191701079301468e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9636
y[1] (analytic) = -1.0997612892683879776873430462778
y[1] (numeric) = -1.0997612892683879776873371707008
absolute error = 5.8755770e-24
relative error = 5.3425930311737970809379638902429e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9635
y[1] (analytic) = -1.0997406941883825048696869268884
y[1] (numeric) = -1.0997406941883825048696810355078
absolute error = 5.8913806e-24
relative error = 5.3570633796977808132167393446726e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9634
y[1] (analytic) = -1.0997200974425765102042427783987
y[1] (numeric) = -1.0997200974425765102042368712166
absolute error = 5.9071821e-24
relative error = 5.3715323687702744144545012008199e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9633
y[1] (analytic) = -1.0996994990307853595184764693369
y[1] (numeric) = -1.0996994990307853595184705463554
absolute error = 5.9229815e-24
relative error = 5.3859999983815488249879709524514e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9632
y[1] (analytic) = -1.0996788989528243944250120056124
y[1] (numeric) = -1.0996788989528243944250060668338
absolute error = 5.9387786e-24
relative error = 5.4004660866505998657203730124495e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9631
y[1] (analytic) = -1.0996582972085089323183610527801
y[1] (numeric) = -1.0996582972085089323183550982065
absolute error = 5.9545736e-24
relative error = 5.4149308154321492443542672305802e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.963
y[1] (analytic) = -1.0996376937976542663716521333248
y[1] (numeric) = -1.0996376937976542663716461629584
absolute error = 5.9703664e-24
relative error = 5.4293940937774135005805008988561e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 2.18
x[1] = -1.9629
y[1] (analytic) = -1.0996170887200756655333594990119
y[1] (numeric) = -1.0996170887200756655333535128549
absolute error = 5.9861570e-24
relative error = 5.4438559216715371961686427292233e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9628
y[1] (analytic) = -1.0995964819755883745240316783479
y[1] (numeric) = -1.0995964819755883745240256764024
absolute error = 6.0019455e-24
relative error = 5.4583163900421121713292708295050e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9627
y[1] (analytic) = -1.0995758735640076138330196991949
y[1] (numeric) = -1.0995758735640076138330136814631
absolute error = 6.0177318e-24
relative error = 5.4727754079352312244908808165459e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9626
y[1] (analytic) = -1.099555263485148579715204986585
y[1] (numeric) = -1.0995552634851485797151989530691
absolute error = 6.0335159e-24
relative error = 5.4872329753360261215440960452317e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
memory used=57.2MB, alloc=4.3MB, time=3.39
x[1] = -1.9625
y[1] (analytic) = -1.0995346517388264441877269357779
y[1] (numeric) = -1.09953465173882644418772088648
absolute error = 6.0492979e-24
relative error = 5.5016891831771898780906332059718e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9624
y[1] (analytic) = -1.0995140383248563550267101606072
y[1] (numeric) = -1.0995140383248563550267040955294
absolute error = 6.0650778e-24
relative error = 5.5161440314489605053511360704248e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9623
y[1] (analytic) = -1.0994934232430534357639914171594
y[1] (numeric) = -1.0994934232430534357639853363041
absolute error = 6.0808553e-24
relative error = 5.5305972472886446154026895539130e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9622
y[1] (analytic) = -1.0994728064932327856838462028321
y[1] (numeric) = -1.0994728064932327856838401062014
absolute error = 6.0966307e-24
relative error = 5.5450491035291690369580581088055e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9621
y[1] (analytic) = -1.0994521880752094798197150308135
y[1] (numeric) = -1.0994521880752094798197089184095
absolute error = 6.1124040e-24
relative error = 5.5594996001607601757885587334713e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.962
y[1] (analytic) = -1.0994315679887985689509293800305
y[1] (numeric) = -1.0994315679887985689509232518555
absolute error = 6.1281750e-24
relative error = 5.5739485552614550725842247120559e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9619
y[1] (analytic) = -1.09941094623381507959943732061
y[1] (numeric) = -1.0994109462338150795994311766661
absolute error = 6.1439439e-24
relative error = 5.5883961507268354131746254738032e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 2.18
x[1] = -1.9618
y[1] (analytic) = -1.0993903228100740140265288148967
y[1] (numeric) = -1.0993903228100740140265226551861
absolute error = 6.1597106e-24
relative error = 5.6028422955876111957039153778086e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9617
y[1] (analytic) = -1.0993696977173903502295606940747
y[1] (numeric) = -1.0993696977173903502295545185997
absolute error = 6.1754750e-24
relative error = 5.6172868988676632445704060387383e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9616
y[1] (analytic) = -1.0993490709555790419386813104369
y[1] (numeric) = -1.0993490709555790419386751191996
absolute error = 6.1912373e-24
relative error = 5.6317301424727968396777300199923e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9615
y[1] (analytic) = -1.099328442524455018613554865347
y[1] (numeric) = -1.0993284425244550186135486583496
absolute error = 6.2069974e-24
relative error = 5.6461719354285903143307080627822e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9614
y[1] (analytic) = -1.0993078124238331854400854129404
y[1] (numeric) = -1.0993078124238331854400791901851
absolute error = 6.2227553e-24
relative error = 5.6606122777201229120280488608660e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9613
y[1] (analytic) = -1.0992871806535284233271405396084
y[1] (numeric) = -1.0992871806535284233271343010974
absolute error = 6.2385110e-24
relative error = 5.6750511693324693889410281449010e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9612
y[1] (analytic) = -1.0992665472133555889032747193116
y[1] (numeric) = -1.0992665472133555889032684650472
absolute error = 6.2542644e-24
relative error = 5.6894885192809527263912924738357e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9611
y[1] (analytic) = -1.0992459121031295145134523447676
y[1] (numeric) = -1.099245912103129514513446074752
absolute error = 6.2700156e-24
relative error = 5.7039244185169706083900531743253e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.961
y[1] (analytic) = -1.0992252753226650082157704345585
y[1] (numeric) = -1.0992252753226650082157641487938
absolute error = 6.2857647e-24
relative error = 5.7183589579987465807103188863777e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9609
y[1] (analytic) = -1.0992046368717768537781810162032
y[1] (numeric) = -1.0992046368717768537781747146918
absolute error = 6.3015114e-24
relative error = 5.7327918647918482257443929254696e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9608
y[1] (analytic) = -1.099183996750279810675213185242
y[1] (numeric) = -1.0991839967502798106752068679859
absolute error = 6.3172561e-24
relative error = 5.7472235027773950944861104478872e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9607
y[1] (analytic) = -1.0991633549579886140846948403757
y[1] (numeric) = -1.0991633549579886140846885073773
absolute error = 6.3329984e-24
relative error = 5.7616535080375337376821815608822e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 2.18
x[1] = -1.9606
y[1] (analytic) = -1.0991427114947179748844740947087
y[1] (numeric) = -1.0991427114947179748844677459701
absolute error = 6.3487386e-24
relative error = 5.7760821534870446266013014695884e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9605
y[1] (analytic) = -1.0991220663602825796491403631385
y[1] (numeric) = -1.099122066360282579649133998662
absolute error = 6.3644765e-24
relative error = 5.7905092571526813358970490267574e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9604
y[1] (analytic) = -1.0991014195544970906467451259399
y[1] (numeric) = -1.0991014195544970906467387457277
absolute error = 6.3802122e-24
relative error = 5.8049349099977647112950494713562e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9603
y[1] (analytic) = -1.0990807710771761458355223685879
y[1] (numeric) = -1.0990807710771761458355159726422
absolute error = 6.3959457e-24
relative error = 5.8193591120073233384795946575974e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9602
y[1] (analytic) = -1.0990601209281343588606086978664
y[1] (numeric) = -1.0990601209281343588606022861895
absolute error = 6.4116769e-24
relative error = 5.8337817721795480079337512622458e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9601
y[1] (analytic) = -1.0990394691071863190507631343078
y[1] (numeric) = -1.0990394691071863190507567069019
absolute error = 6.4274059e-24
relative error = 5.8482029814828721582092268411569e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.96
y[1] (analytic) = -1.0990188156141465914150865810103
y[1] (numeric) = -1.0990188156141465914150801378776
absolute error = 6.4431327e-24
relative error = 5.8626227399023102507452708692900e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
memory used=61.0MB, alloc=4.3MB, time=3.63
x[1] = -1.9599
y[1] (analytic) = -1.0989981604488297166397409688778
y[1] (numeric) = -1.0989981604488297166397345100206
absolute error = 6.4588572e-24
relative error = 5.8770409564309091953756890517598e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9598
y[1] (analytic) = -1.09897750361105021108466807833
y[1] (numeric) = -1.0989775036110502110846616037506
absolute error = 6.4745794e-24
relative error = 5.8914576310485434668187279236545e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9597
y[1] (analytic) = -1.0989568451006225667803080375275
y[1] (numeric) = -1.0989568451006225667803015472281
absolute error = 6.4902994e-24
relative error = 5.9058728547304657029356555356220e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9596
y[1] (analytic) = -1.0989361849173612514243174971585
y[1] (numeric) = -1.0989361849173612514243109911413
absolute error = 6.5060172e-24
relative error = 5.9202866274616711052268975394235e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 2.18
x[1] = -1.9595
y[1] (analytic) = -1.0989155230610807083782874818341
y[1] (numeric) = -1.0989155230610807083782809601014
absolute error = 6.5217327e-24
relative error = 5.9346988582283448094741298752646e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9594
y[1] (analytic) = -1.0988948595315953566644609181373
y[1] (numeric) = -1.0988948595315953566644543806914
absolute error = 6.5374459e-24
relative error = 5.9491095470103395838355532806658e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9593
y[1] (analytic) = -1.0988741943287195909624498393732
y[1] (numeric) = -1.0988741943287195909624432862163
absolute error = 6.5531569e-24
relative error = 5.9635187847897304833487006637114e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9592
y[1] (analytic) = -1.0988535274522677816059522670656
y[1] (numeric) = -1.0988535274522677816059456982
absolute error = 6.5688656e-24
relative error = 5.9779264805475538615978615745007e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9591
y[1] (analytic) = -1.0988328589020542745794687692479
y[1] (numeric) = -1.0988328589020542745794621846759
absolute error = 6.5845720e-24
relative error = 5.9923326342636458843137631862948e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.959
y[1] (analytic) = -1.0988121886778933915150186955938
y[1] (numeric) = -1.0988121886778933915150120953175
absolute error = 6.6002763e-24
relative error = 6.0067374279325634792090551045543e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9589
y[1] (analytic) = -1.0987915167795994296888560894341
y[1] (numeric) = -1.098791516779599429688849473456
absolute error = 6.6159781e-24
relative error = 6.0211404975081026217772580400433e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9588
y[1] (analytic) = -1.0987708432069866620181852767083
y[1] (numeric) = -1.0987708432069866620181786450305
absolute error = 6.6316778e-24
relative error = 6.0355422070029603662340594203007e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9587
y[1] (analytic) = -1.0987501679598693370578761318944
y[1] (numeric) = -1.0987501679598693370578694845192
absolute error = 6.6473752e-24
relative error = 6.0499423743822246207343520757775e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9586
y[1] (analytic) = -1.0987294910380616789971790209666
y[1] (numeric) = -1.0987294910380616789971723578964
absolute error = 6.6630702e-24
relative error = 6.0643409086114909816386902398163e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9585
y[1] (analytic) = -1.0987088124413778876564394214267
y[1] (numeric) = -1.0987088124413778876564327426636
absolute error = 6.6787631e-24
relative error = 6.0787380827132015624857776760274e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 2.18
x[1] = -1.9584
y[1] (analytic) = -1.0986881321696321384838122194546
y[1] (numeric) = -1.098688132169632138483805525001
absolute error = 6.6944536e-24
relative error = 6.0931336236245143251961092667251e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9583
y[1] (analytic) = -1.0986674502226385825519756842281
y[1] (numeric) = -1.0986674502226385825519689740862
absolute error = 6.7101419e-24
relative error = 6.1075277133587863069947968066646e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9582
y[1] (analytic) = -1.0986467666002113465548451194549
y[1] (numeric) = -1.0986467666002113465548383936271
absolute error = 6.7258278e-24
relative error = 6.1219201698588116094702785717577e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9581
y[1] (analytic) = -1.0986260813021645328042861921678
y[1] (numeric) = -1.0986260813021645328042794506563
absolute error = 6.7415115e-24
relative error = 6.1363111751447892311785144855926e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.958
y[1] (analytic) = -1.0986053943283122192268279388266
y[1] (numeric) = -1.0986053943283122192268211816338
absolute error = 6.7571928e-24
relative error = 6.1507005471526474714948008433486e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9579
y[1] (analytic) = -1.0985847056784684593603754487771
y[1] (numeric) = -1.0985847056784684593603686759052
absolute error = 6.7728719e-24
relative error = 6.1650884679094289095869692567485e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9578
y[1] (analytic) = -1.0985640153524472823509222251112
y[1] (numeric) = -1.0985640153524472823509154365626
absolute error = 6.7885486e-24
relative error = 6.1794747553441944083001923881069e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9577
y[1] (analytic) = -1.0985433233500626929492622229787
y[1] (numeric) = -1.0985433233500626929492554187556
absolute error = 6.8042231e-24
relative error = 6.1938595914908317472456224838423e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9576
y[1] (analytic) = -1.0985226296711286715077015653944
y[1] (numeric) = -1.0985226296711286715076947454992
absolute error = 6.8198952e-24
relative error = 6.2082427942715327178601846070203e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9575
y[1] (analytic) = -1.0985019343154591739767699365917
y[1] (numeric) = -1.0985019343154591739767631010266
absolute error = 6.8355651e-24
relative error = 6.2226245457270319205804668557146e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
x[1] = -1.9574
y[1] (analytic) = -1.0984812372828681319019316529666
y[1] (numeric) = -1.098481237282868131901924801734
absolute error = 6.8512326e-24
relative error = 6.2370046637726504399956310179245e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 2.18
memory used=64.8MB, alloc=4.3MB, time=3.88
x[1] = -1.9573
y[1] (analytic) = -1.0984605385731694524202964116621
y[1] (numeric) = -1.0984605385731694524202895447643
absolute error = 6.8668978e-24
relative error = 6.2513832394194738853627542981846e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9572
y[1] (analytic) = -1.0984398381861770182573297168394
y[1] (numeric) = -1.0984398381861770182573228342787
absolute error = 6.8825607e-24
relative error = 6.2657602726472302576149877294727e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9571
y[1] (analytic) = -1.0984191361217046877235629836832
y[1] (numeric) = -1.0984191361217046877235560854619
absolute error = 6.8982213e-24
relative error = 6.2801357634356417822362896282624e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.957
y[1] (analytic) = -1.0983984323795662947113033201895
y[1] (numeric) = -1.09839843237956629471129640631
absolute error = 6.9138795e-24
relative error = 6.2945096207227800432963502131110e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9569
y[1] (analytic) = -1.0983777269595756486913429867835
y[1] (numeric) = -1.0983777269595756486913360572481
absolute error = 6.9295354e-24
relative error = 6.3088819355265681381816348641221e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9568
y[1] (analytic) = -1.0983570198615465347096685338145
y[1] (numeric) = -1.0983570198615465347096615886254
absolute error = 6.9451891e-24
relative error = 6.3232527988717878471888734087084e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9567
y[1] (analytic) = -1.0983363110852927133841696169762
y[1] (numeric) = -1.0983363110852927133841626561358
absolute error = 6.9608404e-24
relative error = 6.3376220286496992821110341988032e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9566
y[1] (analytic) = -1.0983156006306279209013474907008
y[1] (numeric) = -1.0983156006306279209013405142115
absolute error = 6.9764893e-24
relative error = 6.3519896248348452751681495476314e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9565
y[1] (analytic) = -1.0982948884973658690130231795739
y[1] (numeric) = -1.0982948884973658690130161874379
absolute error = 6.9921360e-24
relative error = 6.3663557695022176323335993124004e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9564
y[1] (analytic) = -1.0982741746853202450330453278177
y[1] (numeric) = -1.0982741746853202450330383200374
absolute error = 7.0077803e-24
relative error = 6.3807202805327581288076145504051e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9563
y[1] (analytic) = -1.0982534591943047118339977268925
y[1] (numeric) = -1.0982534591943047118339907034703
absolute error = 7.0234222e-24
relative error = 6.3950831579009897840436448799926e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 2.18
x[1] = -1.9562
y[1] (analytic) = -1.0982327420241329078439065212626
y[1] (numeric) = -1.0982327420241329078438994822008
absolute error = 7.0390618e-24
relative error = 6.4094444926368089167100808406142e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9561
y[1] (analytic) = -1.0982120231746184470429470923754
y[1] (numeric) = -1.0982120231746184470429400376764
absolute error = 7.0546990e-24
relative error = 6.4238041936627798943652927218375e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.956
y[1] (analytic) = -1.0981913026455749189601506209025
y[1] (numeric) = -1.0981913026455749189601435505686
absolute error = 7.0703339e-24
relative error = 6.4381623520122215112457860125394e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9559
y[1] (analytic) = -1.0981705804368158886701103272896
y[1] (numeric) = -1.0981705804368158886701032413231
absolute error = 7.0859665e-24
relative error = 6.4525189676647840929947007438735e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9558
y[1] (analytic) = -1.0981498565481548967896873906652
y[1] (numeric) = -1.0981498565481548967896802890685
absolute error = 7.1015967e-24
relative error = 6.4668739495378592278749583626137e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9557
y[1] (analytic) = -1.098129130979405459474716546155
y[1] (numeric) = -1.0981291309794054594747094289304
absolute error = 7.1172246e-24
relative error = 6.4812273886699012450745552035292e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9556
y[1] (analytic) = -1.0981084037303810684167113606511
y[1] (numeric) = -1.098108403730381068416704227801
absolute error = 7.1328501e-24
relative error = 6.4955791939748519785430389813997e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9555
y[1] (analytic) = -1.0980876748008951908395691870847
y[1] (numeric) = -1.0980876748008951908395620386115
absolute error = 7.1484732e-24
relative error = 6.5099293654271807066327953076418e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9554
y[1] (analytic) = -1.0980669441907612694962757972499
y[1] (numeric) = -1.0980669441907612694962686331559
absolute error = 7.1640940e-24
relative error = 6.5242779940704785001746667486260e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9553
y[1] (analytic) = -1.0980462118997927226656096932277
y[1] (numeric) = -1.0980462118997927226656025135154
absolute error = 7.1797123e-24
relative error = 6.5386248977426623994524999383219e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9552
y[1] (analytic) = -1.0980254779278029441488460974599
y[1] (numeric) = -1.0980254779278029441488389021315
absolute error = 7.1953284e-24
relative error = 6.5529703496307261153763911563439e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 2.18
x[1] = -1.9551
y[1] (analytic) = -1.0980047422746053032664606215186
y[1] (numeric) = -1.0980047422746053032664534105765
absolute error = 7.2109421e-24
relative error = 6.5673141675708543537128750865003e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.955
y[1] (analytic) = -1.0979840049400131448548326136238
y[1] (numeric) = -1.0979840049400131448548253870704
absolute error = 7.2265534e-24
relative error = 6.5816563515374824300604905771611e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9549
y[1] (analytic) = -1.0979632659238397892629481849549
y[1] (numeric) = -1.0979632659238397892629409427926
absolute error = 7.2421623e-24
relative error = 6.5959969015050386157814905852435e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9548
y[1] (analytic) = -1.0979425252258985323491029148063
y[1] (numeric) = -1.0979425252258985323490956570375
absolute error = 7.2577688e-24
relative error = 6.6103358174479441357859801737695e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.3MB, time=4.12
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9547
y[1] (analytic) = -1.097921782846002645477604234636
y[1] (numeric) = -1.0979217828460026454775969612631
absolute error = 7.2733729e-24
relative error = 6.6246730993406131663152681490849e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9546
y[1] (analytic) = -1.0979010387839653755154734910556
y[1] (numeric) = -1.0979010387839653755154662020809
absolute error = 7.2889747e-24
relative error = 6.6390088382403432458348417229146e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9545
y[1] (analytic) = -1.0978802930395999448291476878111
y[1] (numeric) = -1.0978802930395999448291403832371
absolute error = 7.3045740e-24
relative error = 6.6533428519574747391272099899457e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9544
y[1] (analytic) = -1.0978595456127195512811809068037
y[1] (numeric) = -1.0978595456127195512811735866327
absolute error = 7.3201710e-24
relative error = 6.6676753226339030173729115889108e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9543
y[1] (analytic) = -1.0978387965031373682269454081991
y[1] (numeric) = -1.0978387965031373682269380724335
absolute error = 7.3357656e-24
relative error = 6.6820061591611242408702709447224e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9542
y[1] (analytic) = -1.0978180457106665445113324096752
y[1] (numeric) = -1.0978180457106665445113250583174
absolute error = 7.3513578e-24
relative error = 6.6963353615135179234042780848044e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.9541
y[1] (analytic) = -1.097797293235120204465452544857
y[1] (numeric) = -1.0977972932351202044654451779094
absolute error = 7.3669476e-24
relative error = 6.7106629296654565169148445638402e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 2.18
x[1] = -1.954
y[1] (analytic) = -1.0977765390763114479033360009882
y[1] (numeric) = -1.0977765390763114479033286184532
absolute error = 7.3825350e-24
relative error = 6.7249888635913054092746805557962e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9539
y[1] (analytic) = -1.0977557832340533501186323358885
y[1] (numeric) = -1.0977557832340533501186249377684
absolute error = 7.3981201e-24
relative error = 6.7393132543603654651100607155878e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9538
y[1] (analytic) = -1.0977350257081589618813099742462
y[1] (numeric) = -1.0977350257081589618813025605436
absolute error = 7.4137026e-24
relative error = 6.7536358286621603083587352219091e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9537
y[1] (analytic) = -1.0977142664984413094343553832964
y[1] (numeric) = -1.0977142664984413094343479540136
absolute error = 7.4292828e-24
relative error = 6.7679568597558617504822155173793e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9536
y[1] (analytic) = -1.0976935056047133944904719279322
y[1] (numeric) = -1.0976935056047133944904644830717
absolute error = 7.4448605e-24
relative error = 6.7822761654207535441658595034207e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9535
y[1] (analytic) = -1.0976727430267881942287784053011
y[1] (numeric) = -1.0976727430267881942287709448652
absolute error = 7.4604359e-24
relative error = 6.7965939278296641841339436781410e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9534
y[1] (analytic) = -1.0976519787644786612915072589335
y[1] (numeric) = -1.0976519787644786612914997829247
absolute error = 7.4760088e-24
relative error = 6.8109099647549714231618981865118e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9533
y[1] (analytic) = -1.097631212817597723780702472456
y[1] (numeric) = -1.0976312128175977237806949808767
absolute error = 7.4915793e-24
relative error = 6.8252243672711013369275092048224e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9532
y[1] (analytic) = -1.0976104451859582852549171429363
y[1] (numeric) = -1.0976104451859582852549096357889
absolute error = 7.5071474e-24
relative error = 6.8395371353523621054576850410888e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9531
y[1] (analytic) = -1.0975896758693732247259107339114
y[1] (numeric) = -1.0975896758693732247259032111983
absolute error = 7.5227131e-24
relative error = 6.8538482689730548245370421610570e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.953
y[1] (analytic) = -1.0975689048676553966553460081481
y[1] (numeric) = -1.0975689048676553966553384698718
absolute error = 7.5382763e-24
relative error = 6.8681576769970206139091658080236e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9529
y[1] (analytic) = -1.0975481321806176309514856401865
y[1] (numeric) = -1.0975481321806176309514780863494
absolute error = 7.5538371e-24
relative error = 6.8824654505055504893558856000417e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 2.18
x[1] = -1.9528
y[1] (analytic) = -1.0975273578080727329658885087151
y[1] (numeric) = -1.0975273578080727329658809393197
absolute error = 7.5693954e-24
relative error = 6.8967714983590217757822864175743e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9527
y[1] (analytic) = -1.0975065817498334834901056688293
y[1] (numeric) = -1.0975065817498334834900980838779
absolute error = 7.5849514e-24
relative error = 6.9110760027577855646473381083367e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9526
y[1] (analytic) = -1.0974858040057126387523760042213
y[1] (numeric) = -1.0974858040057126387523684037165
absolute error = 7.6005048e-24
relative error = 6.9253786903292261749553767196547e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9525
y[1] (analytic) = -1.097465024575522930414321559354
y[1] (numeric) = -1.0974650245755229304143139432982
absolute error = 7.6160558e-24
relative error = 6.9396797432754040806800533753519e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9524
y[1] (analytic) = -1.0974442434590770655676425516664
y[1] (numeric) = -1.097444243459077065567634920062
absolute error = 7.6316044e-24
relative error = 6.9539791615705688771722391494458e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9523
y[1] (analytic) = -1.0974234606561877267308120638631
y[1] (numeric) = -1.0974234606561877267308044167125
absolute error = 7.6471506e-24
relative error = 6.9682769451889630572556985753505e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9522
y[1] (analytic) = -1.0974026761666675718457704163363
y[1] (numeric) = -1.0974026761666675718457627536421
absolute error = 7.6626942e-24
relative error = 6.9825729118563143794856732995605e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.3MB, time=4.36
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9521
y[1] (analytic) = -1.0973818899903292342746192197729
y[1] (numeric) = -1.0973818899903292342746115415374
absolute error = 7.6782355e-24
relative error = 6.9968673349144344498044585711340e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.952
y[1] (analytic) = -1.0973611021269853227963151079938
y[1] (numeric) = -1.0973611021269853227963074142195
absolute error = 7.6937743e-24
relative error = 7.0111600320873097433234607052956e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.18
x[1] = -1.9519
y[1] (analytic) = -1.0973403125764484216033631510798
y[1] (numeric) = -1.0973403125764484216033554417691
absolute error = 7.7093107e-24
relative error = 7.0254510944734069019959456795527e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.179
x[1] = -1.9518
y[1] (analytic) = -1.0973195213385310902985099488311
y[1] (numeric) = -1.0973195213385310902985022239865
absolute error = 7.7248446e-24
relative error = 7.0397404309157724320695660936507e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 2.179
x[1] = -1.9517
y[1] (analytic) = -1.0972987284130458638914364046136
y[1] (numeric) = -1.0972987284130458638914286642376
absolute error = 7.7403760e-24
relative error = 7.0540280413834243447080405094487e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9516
y[1] (analytic) = -1.0972779337998052527954501796411
y[1] (numeric) = -1.0972779337998052527954424237361
absolute error = 7.7559050e-24
relative error = 7.0683140169799854352959988081710e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9515
y[1] (analytic) = -1.0972571374986217428241778277443
y[1] (numeric) = -1.0972571374986217428241700563129
absolute error = 7.7714314e-24
relative error = 7.0825981754069580082897566607426e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9514
y[1] (analytic) = -1.0972363395093077951882566106784
y[1] (numeric) = -1.097236339509307795188248823723
absolute error = 7.7869554e-24
relative error = 7.0968806989042889678911399624688e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9513
y[1] (analytic) = -1.0972155398316758464920259940186
y[1] (numeric) = -1.0972155398316758464920181915417
absolute error = 7.8024769e-24
relative error = 7.1111614963063503815524379548575e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9512
y[1] (analytic) = -1.0971947384655383087302188236953
y[1] (numeric) = -1.0971947384655383087302110056994
absolute error = 7.8179959e-24
relative error = 7.1254405675821190907043247211494e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9511
y[1] (analytic) = -1.09717393541070756928465218322
y[1] (numeric) = -1.0971739354107075692846443497075
absolute error = 7.8335125e-24
relative error = 7.1397180038438151315209996437605e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.951
y[1] (analytic) = -1.0971531306669959909209179316523
y[1] (numeric) = -1.0971531306669959909209100826257
absolute error = 7.8490266e-24
relative error = 7.1539937139206036569767695857914e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9509
y[1] (analytic) = -1.0971323242342159117850729223594
y[1] (numeric) = -1.0971323242342159117850650578213
absolute error = 7.8645381e-24
relative error = 7.1682676066347286533804144722435e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9508
y[1] (analytic) = -1.0971115161121796454003289026193
y[1] (numeric) = -1.0971115161121796454003210225721
absolute error = 7.8800472e-24
relative error = 7.1825398642468221297524553549877e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9507
y[1] (analytic) = -1.0970907063006994806637420941184
y[1] (numeric) = -1.0970907063006994806637341985645
absolute error = 7.8955539e-24
relative error = 7.1968104867310058355417456083522e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 2.179
x[1] = -1.9506
y[1] (analytic) = -1.0970698947995876818429024543949
y[1] (numeric) = -1.097069894799587681842894543337
absolute error = 7.9110579e-24
relative error = 7.2110792006057089908640870930759e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9505
y[1] (analytic) = -1.0970490816086564885726226192804
y[1] (numeric) = -1.0970490816086564885726146927209
absolute error = 7.9265595e-24
relative error = 7.2253462792903484551808057759253e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9504
y[1] (analytic) = -1.0970282667277181158516265263882
y[1] (numeric) = -1.0970282667277181158516185843296
absolute error = 7.9420586e-24
relative error = 7.2396116316036686915703031543070e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9503
y[1] (analytic) = -1.097007450156584754039237719703
y[1] (numeric) = -1.0970074501565847540392297621478
absolute error = 7.9575552e-24
relative error = 7.2538752575145717806845966289393e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9502
y[1] (analytic) = -1.0969866318950685688520673353212
y[1] (numeric) = -1.0969866318950685688520593622719
absolute error = 7.9730493e-24
relative error = 7.2681371569919514148305792794068e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9501
y[1] (analytic) = -1.096965811942981701360701768394
y[1] (numeric) = -1.0969658119429817013606937798531
absolute error = 7.9885409e-24
relative error = 7.2823973300046928953627550753884e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.95
y[1] (analytic) = -1.0969449903001362679863900213251
y[1] (numeric) = -1.0969449903001362679863820172952
absolute error = 8.0040299e-24
relative error = 7.2966556853593989191878756818494e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9499
y[1] (analytic) = -1.0969241669663443604977307332741
y[1] (numeric) = -1.0969241669663443604977227137577
absolute error = 8.0195164e-24
relative error = 7.3109123141837510717173117700834e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9498
y[1] (analytic) = -1.0969033419414180460073588910176
y[1] (numeric) = -1.0969033419414180460073508560171
absolute error = 8.0350005e-24
relative error = 7.3251673076123444012653442181277e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9497
y[1] (analytic) = -1.0968825152251693669686322212195
y[1] (numeric) = -1.0968825152251693669686241707374
absolute error = 8.0504821e-24
relative error = 7.3394205744517564083279629618812e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9496
y[1] (analytic) = -1.0968616868174103411723172641626
y[1] (numeric) = -1.0968616868174103411723091982016
absolute error = 8.0659610e-24
relative error = 7.3536719323324349547230431653264e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=4.59
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 2.179
x[1] = -1.9495
y[1] (analytic) = -1.0968408567179529617432751289935
y[1] (numeric) = -1.0968408567179529617432670475559
absolute error = 8.0814376e-24
relative error = 7.3679217458965430447467707523696e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9494
y[1] (analytic) = -1.0968200249266091971371469305309
y[1] (numeric) = -1.0968200249266091971371388336194
absolute error = 8.0969115e-24
relative error = 7.3821696504326526656139777976193e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9493
y[1] (analytic) = -1.096799191443190991137038907693
y[1] (numeric) = -1.09679919144319099113703079531
absolute error = 8.1123830e-24
relative error = 7.3964159194223686273756811533109e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9492
y[1] (analytic) = -1.0967783562675102628502072235912
y[1] (numeric) = -1.0967783562675102628501990957394
absolute error = 8.1278518e-24
relative error = 7.4106602793113217861383820272735e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9491
y[1] (analytic) = -1.0967575193993789067047424473468
y[1] (numeric) = -1.0967575193993789067047343040287
absolute error = 8.1433181e-24
relative error = 7.4249029124136329649830148072619e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.949
y[1] (analytic) = -1.0967366808386087924462537176792
y[1] (numeric) = -1.0967366808386087924462455588973
absolute error = 8.1587819e-24
relative error = 7.4391438186980931333194577930221e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9489
y[1] (analytic) = -1.09671584058501176513455258832
y[1] (numeric) = -1.0967158405850117651345444140768
absolute error = 8.1742432e-24
relative error = 7.4533829981334848378209494587828e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9488
y[1] (analytic) = -1.0966949986383996451403365553043
y[1] (numeric) = -1.0966949986383996451403283656025
absolute error = 8.1897018e-24
relative error = 7.4676202683224728911001638908018e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9487
y[1] (analytic) = -1.0966741549985842281418722661921
y[1] (numeric) = -1.0966741549985842281418640610341
absolute error = 8.2051580e-24
relative error = 7.4818559027777878115799306512842e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9486
y[1] (analytic) = -1.0966533096653772851216784112708
y[1] (numeric) = -1.0966533096653772851216701906592
absolute error = 8.2206116e-24
relative error = 7.4960897191003434738886002203391e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9485
y[1] (analytic) = -1.0966324626385905623632082967932
y[1] (numeric) = -1.0966324626385905623632000607306
absolute error = 8.2360626e-24
relative error = 7.5103217172536877091372763958512e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 2.179
x[1] = -1.9484
y[1] (analytic) = -1.096611613918035781447532100302
y[1] (numeric) = -1.0966116139180357814475238487908
absolute error = 8.2515112e-24
relative error = 7.5245520795813348290511825276308e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9483
y[1] (analytic) = -1.0965907635035246392500188080934
y[1] (numeric) = -1.0965907635035246392500105411364
absolute error = 8.2669570e-24
relative error = 7.5387804412903287403618131939424e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9482
y[1] (analytic) = -1.0965699113948688079370178348739
y[1] (numeric) = -1.0965699113948688079370095524735
absolute error = 8.2824004e-24
relative error = 7.5530071671076091231400442122957e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9481
y[1] (analytic) = -1.0965490575918799349625403256602
y[1] (numeric) = -1.096549057591879934962532027819
absolute error = 8.2978412e-24
relative error = 7.5672320746167101686079991628312e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.948
y[1] (analytic) = -1.0965282020943696430649401399777
y[1] (numeric) = -1.0965282020943696430649318266983
absolute error = 8.3132794e-24
relative error = 7.5814551637811325369642679129017e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9479
y[1] (analytic) = -1.096507344902149530263594518409
y[1] (numeric) = -1.0965073449021495302635861896939
absolute error = 8.3287151e-24
relative error = 7.5956765257630267091477627779261e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9478
y[1] (analytic) = -1.0964864860150311698555844315446
y[1] (numeric) = -1.0964864860150311698555760873964
absolute error = 8.3441482e-24
relative error = 7.6098960693306842630785931686934e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9477
y[1] (analytic) = -1.0964656254328261104123746113906
y[1] (numeric) = -1.0964656254328261104123662518118
absolute error = 8.3595788e-24
relative error = 7.6241138856497069313351811877164e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9476
y[1] (analytic) = -1.0964447631553458757764932652839
y[1] (numeric) = -1.0964447631553458757764848902772
absolute error = 8.3750067e-24
relative error = 7.6383297922810334668436215317719e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9475
y[1] (analytic) = -1.0964238991824019650582114723704
y[1] (numeric) = -1.0964238991824019650582030819383
absolute error = 8.3904321e-24
relative error = 7.6525439715941114686399808526294e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9474
y[1] (analytic) = -1.096403033513805852632222262697
y[1] (numeric) = -1.0964030335138058526322138568422
absolute error = 8.4058548e-24
relative error = 7.6667562411429189950044137406933e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 2.179
x[1] = -1.9473
y[1] (analytic) = -1.0963821661493689881343193789724
y[1] (numeric) = -1.0963821661493689881343109576973
absolute error = 8.4212751e-24
relative error = 7.6809668745128984066863986836815e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9472
y[1] (analytic) = -1.0963612970889027964580757210477
y[1] (numeric) = -1.0963612970889027964580672843551
absolute error = 8.4366926e-24
relative error = 7.6951755068346574242548337388087e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9471
y[1] (analytic) = -1.0963404263322186777515214731733
y[1] (numeric) = -1.0963404263322186777515130210656
absolute error = 8.4521077e-24
relative error = 7.7093825029113713796430499007750e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.947
y[1] (analytic) = -1.0963195538791280074138219140809
y[1] (numeric) = -1.0963195538791280074138134465608
absolute error = 8.4675201e-24
relative error = 7.7235875890740204947628363491205e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=4.82
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9469
y[1] (analytic) = -1.0962986797294421360919549099487
y[1] (numeric) = -1.0962986797294421360919464270188
absolute error = 8.4829299e-24
relative error = 7.7377908564968081193904010412464e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9468
y[1] (analytic) = -1.0962778038829723896773880902995
y[1] (numeric) = -1.0962778038829723896773795919624
absolute error = 8.4983371e-24
relative error = 7.7519923051431196674216119075673e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9467
y[1] (analytic) = -1.096256926339530069302755706887
y[1] (numeric) = -1.0962569263395300693027471931453
absolute error = 8.5137417e-24
relative error = 7.7661919349763308260266206538689e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9466
y[1] (analytic) = -1.0962360470989264513385351756233
y[1] (numeric) = -1.0962360470989264513385266464796
absolute error = 8.5291437e-24
relative error = 7.7803897459598075526533648469843e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9465
y[1] (analytic) = -1.0962151661609727873897233016016
y[1] (numeric) = -1.0962151661609727873897147570585
absolute error = 8.5445431e-24
relative error = 7.7945857380569060720300198588347e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9464
y[1] (analytic) = -1.0961942835254803042925121872668
y[1] (numeric) = -1.0961942835254803042925036273269
absolute error = 8.5599399e-24
relative error = 7.8087799112309728731664002563253e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9463
y[1] (analytic) = -1.0961733991922602041109648237885
y[1] (numeric) = -1.0961733991922602041109562484545
absolute error = 8.5753340e-24
relative error = 7.8229721742189018153963391949647e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 2.179
x[1] = -1.9462
y[1] (analytic) = -1.0961525131611236641336903656904
y[1] (numeric) = -1.0961525131611236641336817749649
absolute error = 8.5907255e-24
relative error = 7.8371626182069863507605753327906e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9461
y[1] (analytic) = -1.0961316254318818368705190887885
y[1] (numeric) = -1.0961316254318818368705104826741
absolute error = 8.6061144e-24
relative error = 7.8513512431585431203930958821908e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.946
y[1] (analytic) = -1.0961107360043458500491770314935
y[1] (numeric) = -1.0961107360043458500491684099928
absolute error = 8.6215007e-24
relative error = 7.8655380490368790175619530351637e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9459
y[1] (analytic) = -1.0960898448783268066119603195307
y[1] (numeric) = -1.0960898448783268066119516826463
absolute error = 8.6368844e-24
relative error = 7.8797230358052911846653668374543e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9458
y[1] (analytic) = -1.0960689520536357847124091741311
y[1] (numeric) = -1.0960689520536357847124005218656
absolute error = 8.6522655e-24
relative error = 7.8939062034270670102267750168277e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9457
y[1] (analytic) = -1.096048057530083837711981603748
y[1] (numeric) = -1.0960480575300838377119729361041
absolute error = 8.6676439e-24
relative error = 7.9080874606286087781532263909728e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9456
y[1] (analytic) = -1.0960271613074819941767267793535
y[1] (numeric) = -1.0960271613074819941767180963339
absolute error = 8.6830196e-24
relative error = 7.9222668073679659510467252367688e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9455
y[1] (analytic) = -1.0960062633856412578739580933689
y[1] (numeric) = -1.0960062633856412578739493949761
absolute error = 8.6983928e-24
relative error = 7.9364444260838859718069391977911e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9454
y[1] (analytic) = -1.0959853637643726077689259022821
y[1] (numeric) = -1.0959853637643726077689171885188
absolute error = 8.7137633e-24
relative error = 7.9506201342606468318273166602602e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9453
y[1] (analytic) = -1.0959644624434869980214899530085
y[1] (numeric) = -1.0959644624434869980214812238774
absolute error = 8.7291311e-24
relative error = 7.9647939318562662019065403667347e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9452
y[1] (analytic) = -1.0959435594227953579827914930477
y[1] (numeric) = -1.0959435594227953579827827485514
absolute error = 8.7444963e-24
relative error = 7.9789659100743255079595169467932e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 2.179
x[1] = -1.9451
y[1] (analytic) = -1.0959226547021085921919250644915
y[1] (numeric) = -1.0959226547021085921919163046326
absolute error = 8.7598589e-24
relative error = 7.9931360688780419055755186738303e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.945
y[1] (analytic) = -1.095901748281237580372609981937
y[1] (numeric) = -1.0959017482812375803726012067182
absolute error = 8.7752188e-24
relative error = 8.0073043169815667714264378923876e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9449
y[1] (analytic) = -1.09588084015999317742986149436
y[1] (numeric) = -1.095880840159993177429852703784
absolute error = 8.7905760e-24
relative error = 8.0214706543428749263937247326743e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9448
y[1] (analytic) = -1.0958599303381862134466616310028
y[1] (numeric) = -1.0958599303381862134466528250722
absolute error = 8.8059306e-24
relative error = 8.0356351721724682172512504208443e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9447
y[1] (analytic) = -1.0958390188156274936806297313307
y[1] (numeric) = -1.0958390188156274936806209100482
absolute error = 8.8212825e-24
relative error = 8.0497977791792440198840719711602e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9446
y[1] (analytic) = -1.095818105592127798560692659113
y[1] (numeric) = -1.0958181055921277985606838224813
absolute error = 8.8366317e-24
relative error = 8.0639584753211446714719601592431e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9445
y[1] (analytic) = -1.095797190667497883683754700682
y[1] (numeric) = -1.0957971906674978836837458487037
absolute error = 8.8519783e-24
relative error = 8.0781173518138641727263680450687e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9444
memory used=83.9MB, alloc=4.3MB, time=5.05
y[1] (analytic) = -1.0957762740415484798113671474254
y[1] (numeric) = -1.0957762740415484798113582801032
absolute error = 8.8673222e-24
relative error = 8.0922743173610439971043576355142e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9443
y[1] (analytic) = -1.0957553557140902928663975625673
y[1] (numeric) = -1.0957553557140902928663886799039
absolute error = 8.8826634e-24
relative error = 8.1064293719205939684451332690987e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9442
y[1] (analytic) = -1.0957344356849340039296987322919
y[1] (numeric) = -1.0957344356849340039296898342899
absolute error = 8.8980020e-24
relative error = 8.1205826067134020853710958540653e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9441
y[1] (analytic) = -1.0957135139538902692367773012651
y[1] (numeric) = -1.0957135139538902692367683879273
absolute error = 8.9133378e-24
relative error = 8.1347338391731201986021589853631e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.944
y[1] (analytic) = -1.0956925905207697201744620926103
y[1] (numeric) = -1.0956925905207697201744531639393
absolute error = 8.9286710e-24
relative error = 8.1488832517853464257099561266874e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 2.179
x[1] = -1.9439
y[1] (analytic) = -1.0956716653853829632775721123911
y[1] (numeric) = -1.0956716653853829632775631683895
absolute error = 8.9440016e-24
relative error = 8.1630308445131753807061264692097e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9438
y[1] (analytic) = -1.095650738547540580225584238658
y[1] (numeric) = -1.0956507385475405802255752793286
absolute error = 8.9593294e-24
relative error = 8.1771764347797701846605339852492e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9437
y[1] (analytic) = -1.0956298100070531278393005951142
y[1] (numeric) = -1.0956298100070531278392916204596
absolute error = 8.9746546e-24
relative error = 8.1913202050811537990381227889859e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9436
y[1] (analytic) = -1.0956088797637311380775156094541
y[1] (numeric) = -1.0956088797637311380775066194771
absolute error = 8.9899770e-24
relative error = 8.2054619728334943414018269346720e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9435
y[1] (analytic) = -1.0955879478173851180336827564323
y[1] (numeric) = -1.0955879478173851180336737511355
absolute error = 9.0052968e-24
relative error = 8.2196019205397663196359695199092e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9434
y[1] (analytic) = -1.0955670141678255499325809857161
y[1] (numeric) = -1.0955670141678255499325719651022
absolute error = 9.0206139e-24
relative error = 8.2337399568860769513216911074920e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9433
y[1] (analytic) = -1.0955460788148628911269808345787
y[1] (numeric) = -1.0955460788148628911269717986505
absolute error = 9.0359282e-24
relative error = 8.2478759905515465910712300350151e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9432
y[1] (analytic) = -1.0955251417583075740943102254879
y[1] (numeric) = -1.095525141758307574094301174248
absolute error = 9.0512399e-24
relative error = 8.2620102040495801684433692438848e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9431
y[1] (analytic) = -1.0955042029979700064333199486456
y[1] (numeric) = -1.0955042029979700064333108820968
absolute error = 9.0665488e-24
relative error = 8.2761424147788509359638933056392e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.943
y[1] (analytic) = -1.0954832625336605708607488295345
y[1] (numeric) = -1.0954832625336605708607397476795
absolute error = 9.0818550e-24
relative error = 8.2902727139758054385210516967198e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9429
y[1] (analytic) = -1.0954623203651896252079885815269
y[1] (numeric) = -1.0954623203651896252079794843684
absolute error = 9.0971585e-24
relative error = 8.3044011015981990819461012324339e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 2.179
x[1] = -1.9428
y[1] (analytic) = -1.0954413764923675024177483436119
y[1] (numeric) = -1.0954413764923675024177392311526
absolute error = 9.1124593e-24
relative error = 8.3185275776037761721555298122268e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9427
y[1] (analytic) = -1.0954204309150045105407189032964
y[1] (numeric) = -1.095420430915004510540709775539
absolute error = 9.1277574e-24
relative error = 8.3326521419502699117531707047702e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9426
y[1] (analytic) = -1.0953994836329109327322366047364
y[1] (numeric) = -1.0953994836329109327322274616836
absolute error = 9.1430528e-24
relative error = 8.3467747945954023966311304805858e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9425
y[1] (analytic) = -1.0953785346458970272489469421534
y[1] (numeric) = -1.095378534645897027248937783808
absolute error = 9.1583454e-24
relative error = 8.3608954442042429940928673656397e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9424
y[1] (analytic) = -1.0953575839537730274454678385934
y[1] (numeric) = -1.0953575839537730274454586649581
absolute error = 9.1736353e-24
relative error = 8.3750141820236409215716211888556e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9423
y[1] (analytic) = -1.0953366315563491417710526100831
y[1] (numeric) = -1.0953366315563491417710434211607
absolute error = 9.1889224e-24
relative error = 8.3891309167151502068960956269209e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9422
y[1] (analytic) = -1.0953156774534355537662526152404
y[1] (numeric) = -1.0953156774534355537662434110336
absolute error = 9.2042068e-24
relative error = 8.4032457395290888497551602316774e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9421
y[1] (analytic) = -1.0952947216448424220595795903948
y[1] (numeric) = -1.0952947216448424220595703709063
absolute error = 9.2194885e-24
relative error = 8.4173586504231221073483105328483e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.942
y[1] (analytic) = -1.0952737641303798803641676702742
y[1] (numeric) = -1.0952737641303798803641584355067
absolute error = 9.2347675e-24
relative error = 8.4314696493549041094560509034565e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9419
y[1] (analytic) = -1.0952528049098580374744350943143
y[1] (numeric) = -1.0952528049098580374744258442706
absolute error = 9.2500437e-24
relative error = 8.4455786449789562818991404564101e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
memory used=87.7MB, alloc=4.3MB, time=5.29
x[1] = -1.9418
y[1] (analytic) = -1.0952318439830869772627455986471
y[1] (numeric) = -1.0952318439830869772627363333299
absolute error = 9.2653172e-24
relative error = 8.4596857285525372809348626176596e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 2.179
x[1] = -1.9417
y[1] (analytic) = -1.0952108813498767586760694938244
y[1] (numeric) = -1.0952108813498767586760602132364
absolute error = 9.2805880e-24
relative error = 8.4737909000332672061880170940266e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9416
y[1] (analytic) = -1.0951899170100374157326444283335
y[1] (numeric) = -1.0951899170100374157326351324776
absolute error = 9.2958559e-24
relative error = 8.4878939767620262700616435238111e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9415
y[1] (analytic) = -1.0951689509633789575186358379613
y[1] (numeric) = -1.0951689509633789575186265268402
absolute error = 9.3111211e-24
relative error = 8.5019951413061489589711023342705e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9414
y[1] (analytic) = -1.0951479832097113681847970810627
y[1] (numeric) = -1.0951479832097113681847877546792
absolute error = 9.3263835e-24
relative error = 8.5160943023113600641782214284357e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9413
y[1] (analytic) = -1.0951270137488446069431292597914
y[1] (numeric) = -1.0951270137488446069431199181482
absolute error = 9.3416432e-24
relative error = 8.5301915510435975893593951836516e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9412
y[1] (analytic) = -1.0951060425805886080635407273485
y[1] (numeric) = -1.0951060425805886080635313704483
absolute error = 9.3569002e-24
relative error = 8.5442868874604240098912627180117e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9411
y[1] (analytic) = -1.095085069704753280870506281306
y[1] (numeric) = -1.0950850697047532808704969091516
absolute error = 9.3721544e-24
relative error = 8.5583802202022840847218183451549e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.941
y[1] (analytic) = -1.0950640951211485097397260430628
y[1] (numeric) = -1.095064095121148509739716655657
absolute error = 9.3874058e-24
relative error = 8.5724715492214707733848384889684e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9409
y[1] (analytic) = -1.0950431188295841540947840234886
y[1] (numeric) = -1.0950431188295841540947746208342
absolute error = 9.4026544e-24
relative error = 8.5865608744702646132416646492779e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9408
y[1] (analytic) = -1.0950221408298700484038063748145
y[1] (numeric) = -1.0950221408298700484037969569143
absolute error = 9.4179002e-24
relative error = 8.6006481959009337156996498400168e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9407
y[1] (analytic) = -1.0950011611218160021761193288253
y[1] (numeric) = -1.095001161121816002176109895682
absolute error = 9.4331433e-24
relative error = 8.6147336047898378369410996487438e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 2.179
x[1] = -1.9406
y[1] (analytic) = -1.0949801797052317999589068214121
y[1] (numeric) = -1.0949801797052317999588973730285
absolute error = 9.4483836e-24
relative error = 8.6288170097686159565495175085161e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9405
y[1] (analytic) = -1.0949591965799272013338678035418
y[1] (numeric) = -1.0949591965799272013338583399207
absolute error = 9.4636211e-24
relative error = 8.6428984107894995141151468423698e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9404
y[1] (analytic) = -1.0949382117457119409138732387006
y[1] (numeric) = -1.0949382117457119409138637598447
absolute error = 9.4788559e-24
relative error = 8.6569778991340619204933692236882e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9403
y[1] (analytic) = -1.0949172252023957283396227868685
y[1] (numeric) = -1.0949172252023957283396132927807
absolute error = 9.4940878e-24
relative error = 8.6710552920975514369890157372400e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9402
y[1] (analytic) = -1.0948962369497882482763011750831
y[1] (numeric) = -1.0948962369497882482762916657661
absolute error = 9.5093170e-24
relative error = 8.6851307722926219446183134214006e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9401
y[1] (analytic) = -1.0948752469876991604102342546486
y[1] (numeric) = -1.0948752469876991604102247301053
absolute error = 9.5245433e-24
relative error = 8.6992041570074946766003310123530e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.94
y[1] (analytic) = -1.094854255315938099445544745049
y[1] (numeric) = -1.0948542553159380994455352052821
absolute error = 9.5397669e-24
relative error = 8.7132756288618015718194552836453e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9399
y[1] (analytic) = -1.0948332619343146751008076646212
y[1] (numeric) = -1.0948332619343146751007981096336
absolute error = 9.5549876e-24
relative error = 8.7273450051367351425698188634018e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9398
y[1] (analytic) = -1.0948122668426384721057054480479
y[1] (numeric) = -1.0948122668426384721056958778423
absolute error = 9.5702056e-24
relative error = 8.7414124684589070483907269709052e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9397
y[1] (analytic) = -1.0947912700407190501976827507249
y[1] (numeric) = -1.0947912700407190501976731653042
absolute error = 9.5854207e-24
relative error = 8.7554778361024793872233237612098e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9396
y[1] (analytic) = -1.0947702715283659441186009400639
y[1] (numeric) = -1.0947702715283659441185913394309
absolute error = 9.6006330e-24
relative error = 8.7695411993576806624066712832614e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 2.179
x[1] = -1.9395
y[1] (analytic) = -1.0947492713053886636113922737852
y[1] (numeric) = -1.0947492713053886636113826579426
absolute error = 9.6158426e-24
relative error = 8.7836026495217344841411391271256e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9394
y[1] (analytic) = -1.0947282693715966934167137652603
y[1] (numeric) = -1.094728269371596693416704134211
absolute error = 9.6310493e-24
relative error = 8.7976620038582541523538684256965e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9393
y[1] (analytic) = -1.094707265726799493269600735962
y[1] (numeric) = -1.0947072657267994932695910897088
absolute error = 9.6462532e-24
relative error = 8.8117193536626861053343114725623e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
memory used=91.5MB, alloc=4.3MB, time=5.52
x[1] = -1.9392
y[1] (analytic) = -1.0946862603708064978961200550786
y[1] (numeric) = -1.0946862603708064978961103936244
absolute error = 9.6614542e-24
relative error = 8.8257746075367251129641506001845e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9391
y[1] (analytic) = -1.0946652533034271170100230663518
y[1] (numeric) = -1.0946652533034271170100133896993
absolute error = 9.6766525e-24
relative error = 8.8398279481314243294373153877321e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.939
y[1] (analytic) = -1.0946442445244707353093982021949
y[1] (numeric) = -1.094644244524470735309388510347
absolute error = 9.6918479e-24
relative error = 8.8538791926963254277761289415084e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9389
y[1] (analytic) = -1.0946232340337467124733232851509
y[1] (numeric) = -1.0946232340337467124733135781104
absolute error = 9.7070405e-24
relative error = 8.8679284325338343484798279403378e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9388
y[1] (analytic) = -1.0946022218310643831585175167472
y[1] (numeric) = -1.0946022218310643831585077945169
absolute error = 9.7222303e-24
relative error = 8.8819756675959698884809712666448e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9387
y[1] (analytic) = -1.0945812079162330569959931538059
y[1] (numeric) = -1.0945812079162330569959834163887
absolute error = 9.7374172e-24
relative error = 8.8960208064755963431984119143427e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9386
y[1] (analytic) = -1.0945601922890620185877068722681
y[1] (numeric) = -1.0945601922890620185876971196668
absolute error = 9.7526013e-24
relative error = 8.9100639404803412872694851741919e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9385
y[1] (analytic) = -1.0945391749493605275032108185898
y[1] (numeric) = -1.0945391749493605275032010508072
absolute error = 9.7677826e-24
relative error = 8.9241050695621853582614356311503e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 2.178
x[1] = -1.9384
y[1] (analytic) = -1.0945181558969378182763033487684
y[1] (numeric) = -1.0945181558969378182762935658075
absolute error = 9.7829609e-24
relative error = 8.9381440109442868139398054512312e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9383
y[1] (analytic) = -1.0944971351316031004016794550586
y[1] (numeric) = -1.0944971351316031004016696569222
absolute error = 9.7981364e-24
relative error = 8.9521809473003921860228757863364e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9382
y[1] (analytic) = -1.094476112653165558331580880435
y[1] (numeric) = -1.0944761126531655583315710671258
absolute error = 9.8133092e-24
relative error = 8.9662159699503578931157498565458e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9381
y[1] (analytic) = -1.0944550884614343514724459208607
y[1] (numeric) = -1.0944550884614343514724360923817
absolute error = 9.8284790e-24
relative error = 8.9802488047423693979140212453894e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.938
y[1] (analytic) = -1.0944340625562186141815589154218
y[1] (numeric) = -1.0944340625562186141815490717758
absolute error = 9.8436460e-24
relative error = 8.9942796343606621466926657745320e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9379
y[1] (analytic) = -1.0944130349373274557636994243832
y[1] (numeric) = -1.0944130349373274557636895655731
absolute error = 9.8588101e-24
relative error = 9.0083083673839590229744547855354e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9378
y[1] (analytic) = -1.0943920056045699604677910952283
y[1] (numeric) = -1.094392005604569960467781221257
absolute error = 9.8739713e-24
relative error = 9.0223350037588837131995713464128e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9377
y[1] (analytic) = -1.0943709745577551874835502167388
y[1] (numeric) = -1.0943709745577551874835403276091
absolute error = 9.8891297e-24
relative error = 9.0363596348087385747115645330394e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9376
y[1] (analytic) = -1.0943499417966921709381339611741
y[1] (numeric) = -1.0943499417966921709381240568889
absolute error = 9.9042852e-24
relative error = 9.0503821691069396072406919861156e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9375
y[1] (analytic) = -1.0943289073211899198927883146102
y[1] (numeric) = -1.0943289073211899198927783951724
absolute error = 9.9194378e-24
relative error = 9.0644026066000696926761727440324e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9374
y[1] (analytic) = -1.0943078711310574183394956954957
y[1] (numeric) = -1.0943078711310574183394857609081
absolute error = 9.9345876e-24
relative error = 9.0784210386166596219976722013801e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 2.178
x[1] = -1.9373
y[1] (analytic) = -1.0942868332261036251976222614848
y[1] (numeric) = -1.0942868332261036251976123117503
absolute error = 9.9497345e-24
relative error = 9.0924373737248165791632724349765e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9372
y[1] (analytic) = -1.0942657936061374743105649046066
y[1] (numeric) = -1.0942657936061374743105549397281
absolute error = 9.9648785e-24
relative error = 9.1064516118710826045615859804916e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9371
y[1] (analytic) = -1.094244752270967874442397934829
y[1] (numeric) = -1.0942447522709678744423879548093
absolute error = 9.9800197e-24
relative error = 9.1204638443892187825243617787423e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.937
y[1] (analytic) = -1.0942237092204037092745194520772
y[1] (numeric) = -1.0942237092204037092745094569193
absolute error = 9.9951579e-24
relative error = 9.1344738884530312006918037673439e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9369
y[1] (analytic) = -1.0942026644542538374022974067664
y[1] (numeric) = -1.0942026644542538374022873964731
absolute error = 1.00102933e-23
relative error = 9.1484819267852440344197875827768e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9368
y[1] (analytic) = -1.0941816179723270923317153489065
y[1] (numeric) = -1.0941816179723270923317053234807
absolute error = 1.00254258e-23
relative error = 9.1624878679451117234738843563779e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9367
y[1] (analytic) = -1.0941605697744322824760178658404
y[1] (numeric) = -1.0941605697744322824760078252851
absolute error = 1.00405553e-23
relative error = 9.1764916204848437096492284419340e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.3MB, time=5.76
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9366
y[1] (analytic) = -1.0941395198603781911523557086739
y[1] (numeric) = -1.0941395198603781911523456529919
absolute error = 1.00556820e-23
relative error = 9.1904933671376693423175486939775e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9365
y[1] (analytic) = -1.0941184682299735765784306074568
y[1] (numeric) = -1.094118468229973576578420536651
absolute error = 1.00708058e-23
relative error = 9.2044930164575284551490404439515e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9364
y[1] (analytic) = -1.0940974148830271718691397751756
y[1] (numeric) = -1.094097414883027171869129689249
absolute error = 1.00859266e-23
relative error = 9.2184904769913133394900458558482e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9363
y[1] (analytic) = -1.0940763598193476850332201006174
y[1] (numeric) = -1.0940763598193476850332099995728
absolute error = 1.01010446e-23
relative error = 9.2324859314827622785127980250075e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9362
y[1] (analytic) = -1.0940553030387437989698920301633
y[1] (numeric) = -1.0940553030387437989698819140037
absolute error = 1.01161596e-23
relative error = 9.2464791970774408547509622197320e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 2.178
x[1] = -1.9361
y[1] (analytic) = -1.0940342445410241714655031385736
y[1] (numeric) = -1.0940342445410241714654930073019
absolute error = 1.01312717e-23
relative error = 9.2604703651212783183498002679729e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.936
y[1] (analytic) = -1.0940131843259974351901713888221
y[1] (numeric) = -1.0940131843259974351901612424412
absolute error = 1.01463809e-23
relative error = 9.2744594355606504384063650723912e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9359
y[1] (analytic) = -1.0939921223934721976944280810416
y[1] (numeric) = -1.0939921223934721976944179195543
absolute error = 1.01614873e-23
relative error = 9.2884464997502555530981683957061e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9358
y[1] (analytic) = -1.0939710587432570414058604906384
y[1] (numeric) = -1.0939710587432570414058503140478
absolute error = 1.01765906e-23
relative error = 9.3024312834114323035502984171964e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9357
y[1] (analytic) = -1.0939499933751605236257541956386
y[1] (numeric) = -1.0939499933751605236257440039475
absolute error = 1.01916911e-23
relative error = 9.3164140607155241534588364109712e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9356
y[1] (analytic) = -1.0939289262889911765257350933232
y[1] (numeric) = -1.0939289262889911765257248865346
absolute error = 1.02067886e-23
relative error = 9.3303946487868977632260283979284e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9355
y[1] (analytic) = -1.093907857484557507144411106215
y[1] (numeric) = -1.0939078574845575071444008843318
absolute error = 1.02218832e-23
relative error = 9.3443731389819552653123580012540e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9354
y[1] (analytic) = -1.0938867869616679973840135774754
y[1] (numeric) = -1.0938867869616679973840033405005
absolute error = 1.02369749e-23
relative error = 9.3583495312469884314573724451946e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9353
y[1] (analytic) = -1.0938657147201311040070383557727
y[1] (numeric) = -1.0938657147201311040070281037091
absolute error = 1.02520636e-23
relative error = 9.3723237341093754788299793358566e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9352
y[1] (analytic) = -1.0938446407597552586328865696818
y[1] (numeric) = -1.0938446407597552586328763025324
absolute error = 1.02671494e-23
relative error = 9.3862958389307574586537036441900e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.9351
y[1] (analytic) = -1.0938235650803488677345050916757
y[1] (numeric) = -1.0938235650803488677344948094434
absolute error = 1.02822323e-23
relative error = 9.4002658456573837691073049950496e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 2.178
x[1] = -1.935
y[1] (analytic) = -1.0938024876817203126350266917691
y[1] (numeric) = -1.093802487681720312635016394457
absolute error = 1.02973121e-23
relative error = 9.4142335713871216920123966832412e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9349
y[1] (analytic) = -1.0937814085636779495044098808757
y[1] (numeric) = -1.0937814085636779495043995684866
absolute error = 1.03123891e-23
relative error = 9.4281992903334593492248345357180e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9348
y[1] (analytic) = -1.0937603277260301093560784439376
y[1] (numeric) = -1.0937603277260301093560681164746
absolute error = 1.03274630e-23
relative error = 9.4421627281647650782936540251716e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9347
y[1] (analytic) = -1.0937392451685850980435606628905
y[1] (numeric) = -1.0937392451685850980435503203564
absolute error = 1.03425341e-23
relative error = 9.4561241591050693088416967807776e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9346
y[1] (analytic) = -1.0937181608911511962571282295223
y[1] (numeric) = -1.0937181608911511962571178719202
absolute error = 1.03576021e-23
relative error = 9.4700833088121385226861366748880e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9345
y[1] (analytic) = -1.0936970748935366595204348482886
y[1] (numeric) = -1.0936970748935366595204244756214
absolute error = 1.03726672e-23
relative error = 9.4840403600875522301071699921700e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9344
y[1] (analytic) = -1.0936759871755497181871545291439
y[1] (numeric) = -1.0936759871755497181871441414146
absolute error = 1.03877293e-23
relative error = 9.4979952214427010323787912307226e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9343
y[1] (analytic) = -1.0936548977369985774376195704507
y[1] (numeric) = -1.0936548977369985774376091676622
absolute error = 1.04027885e-23
relative error = 9.5119479842549526543595469289208e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9342
y[1] (analytic) = -1.0936338065776914172754582320269
y[1] (numeric) = -1.0936338065776914172754478141822
absolute error = 1.04178447e-23
relative error = 9.5258985570321425870094756922472e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9341
y[1] (analytic) = -1.0936127136974363925242320983929
y[1] (numeric) = -1.093612713697436392524221665495
absolute error = 1.04328979e-23
relative error = 9.5398469397150868390936255945133e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.3MB, time=6.00
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.934
y[1] (analytic) = -1.0935916190960416328240731322788
y[1] (numeric) = -1.0935916190960416328240626843307
absolute error = 1.04479481e-23
relative error = 9.5537931322445861830583523228171e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 2.178
x[1] = -1.9339
y[1] (analytic) = -1.0935705227733152426283204184541
y[1] (numeric) = -1.0935705227733152426283099554587
absolute error = 1.04629954e-23
relative error = 9.5677372260050028722957181659452e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9338
y[1] (analytic) = -1.0935494247290653012001565979395
y[1] (numeric) = -1.0935494247290653012001461198999
absolute error = 1.04780396e-23
relative error = 9.5816790380517179862915802641880e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9337
y[1] (analytic) = -1.0935283249630998626092439926642
y[1] (numeric) = -1.0935283249630998626092334995832
absolute error = 1.04930810e-23
relative error = 9.5956188426615100744130581832412e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9336
y[1] (analytic) = -1.0935072234752269557283604206273
y[1] (numeric) = -1.093507223475226955728349912508
absolute error = 1.05081193e-23
relative error = 9.6095563654390966766867806341089e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9335
y[1] (analytic) = -1.0934861202652545842300347016277
y[1] (numeric) = -1.0934861202652545842300241784732
absolute error = 1.05231545e-23
relative error = 9.6234916063199089670423834513353e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9334
y[1] (analytic) = -1.0934650153329907265831818536219
y[1] (numeric) = -1.0934650153329907265831713154351
absolute error = 1.05381868e-23
relative error = 9.6374247481441616408045183172165e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9333
y[1] (analytic) = -1.0934439086782433360497379797716
y[1] (numeric) = -1.0934439086782433360497274265555
absolute error = 1.05532161e-23
relative error = 9.6513556994036792539648009430141e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9332
y[1] (analytic) = -1.0934228003008203406812948462436
y[1] (numeric) = -1.0934228003008203406812842780012
absolute error = 1.05682424e-23
relative error = 9.6652844600391411592564199805066e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9331
y[1] (analytic) = -1.0934016902005296433157341508228
y[1] (numeric) = -1.093401690200529643315723567557
absolute error = 1.05832658e-23
relative error = 9.6792111214489079912051016984604e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.933
y[1] (analytic) = -1.0933805783771791215738614824
y[1] (numeric) = -1.0933805783771791215738508841139
absolute error = 1.05982861e-23
relative error = 9.6931355006600013582504377175094e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9329
y[1] (analytic) = -1.0933594648305766278560399713973
y[1] (numeric) = -1.0933594648305766278560293580939
absolute error = 1.06133034e-23
relative error = 9.7070576890689856032645433623159e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 2.178
x[1] = -1.9328
y[1] (analytic) = -1.0933383495605299893388236311915
y[1] (numeric) = -1.0933383495605299893388130028738
absolute error = 1.06283177e-23
relative error = 9.7209776866164789404619362288308e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9327
y[1] (analytic) = -1.0933172325668470079715903905986
y[1] (numeric) = -1.0933172325668470079715797472697
absolute error = 1.06433289e-23
relative error = 9.7348954017783227152003440347845e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9326
y[1] (analytic) = -1.0932961138493354604731748174809
y[1] (numeric) = -1.0932961138493354604731641591438
absolute error = 1.06583371e-23
relative error = 9.7488109259563325486157294372118e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9325
y[1] (analytic) = -1.0932749934078030983285005335386
y[1] (numeric) = -1.0932749934078030983284898601962
absolute error = 1.06733424e-23
relative error = 9.7627243505593754687799654930343e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9324
y[1] (analytic) = -1.0932538712420576477852123203481
y[1] (numeric) = -1.0932538712420576477852016320035
absolute error = 1.06883446e-23
relative error = 9.7766354925931843413609767403753e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9323
y[1] (analytic) = -1.0932327473519068098503079167101
y[1] (numeric) = -1.0932327473519068098502972133663
absolute error = 1.07033438e-23
relative error = 9.7905444434648285725039974713983e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9322
y[1] (analytic) = -1.0932116217371582602867695073676
y[1] (numeric) = -1.0932116217371582602867587890277
absolute error = 1.07183399e-23
relative error = 9.8044511116412362721086212365725e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9321
y[1] (analytic) = -1.0931904943976196496101949031587
y[1] (numeric) = -1.0931904943976196496101841698257
absolute error = 1.07333330e-23
relative error = 9.8183555885329797709887675084492e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.932
y[1] (analytic) = -1.093169365333098603085428412664
y[1] (numeric) = -1.093169365333098603085417664341
absolute error = 1.07483230e-23
relative error = 9.8322577826034199809825158483483e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9319
y[1] (analytic) = -1.0931482345434027207231914054136
y[1] (numeric) = -1.0931482345434027207231806421035
absolute error = 1.07633101e-23
relative error = 9.8461578767455347882000007836354e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9318
y[1] (analytic) = -1.0931271020283395772767125667135
y[1] (numeric) = -1.0931271020283395772767017884194
absolute error = 1.07782941e-23
relative error = 9.8600556879437522077636940203594e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 2.178
x[1] = -1.9317
y[1] (analytic) = -1.0931059677877167222383578441565
y[1] (numeric) = -1.0931059677877167222383470508815
absolute error = 1.07932750e-23
relative error = 9.8739512161332145692020515510017e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9316
y[1] (analytic) = -1.0930848318213416798362600858785
y[1] (numeric) = -1.0930848318213416798362492776256
absolute error = 1.08082529e-23
relative error = 9.8878445527332554714577812827731e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9315
y[1] (analytic) = -1.0930636941290219490309483706231
y[1] (numeric) = -1.0930636941290219490309375473954
absolute error = 1.08232277e-23
relative error = 9.9017356061983143438841125936114e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.3MB, time=6.24
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9314
y[1] (analytic) = -1.0930425547105650035119770296782
y[1] (numeric) = -1.0930425547105650035119661914786
absolute error = 1.08381996e-23
relative error = 9.9156245594389769751807829779772e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9313
y[1] (analytic) = -1.093021413565778291694554360746
y[1] (numeric) = -1.0930214135657782916945435075777
absolute error = 1.08531683e-23
relative error = 9.9295111379323893913673603352167e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9312
y[1] (analytic) = -1.0930002706944692367161710338109
y[1] (numeric) = -1.093000270694469236716160165677
absolute error = 1.08681339e-23
relative error = 9.9433954330995890451228044957446e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9311
y[1] (analytic) = -1.0929791260964452364332281890668
y[1] (numeric) = -1.0929791260964452364332173059702
absolute error = 1.08830966e-23
relative error = 9.9572776278617310070655291022467e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.931
y[1] (analytic) = -1.0929579797715136634176652269667
y[1] (numeric) = -1.0929579797715136634176543289106
absolute error = 1.08980561e-23
relative error = 9.9711574476799860473190958555031e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9309
y[1] (analytic) = -1.0929368317194818649535872904598
y[1] (numeric) = -1.0929368317194818649535763774473
absolute error = 1.09130125e-23
relative error = 9.9850349839806509440423356574820e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9308
y[1] (analytic) = -1.0929156819401571630338924394764
y[1] (numeric) = -1.0929156819401571630338815115105
absolute error = 1.09279659e-23
relative error = 9.9989103281970869923056217228174e-22 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9307
y[1] (analytic) = -1.0928945304333468543568985177255
y[1] (numeric) = -1.0928945304333468543568875748093
absolute error = 1.09429162e-23
relative error = 1.0012783388769446778290448354197e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 2.178
x[1] = -1.9306
y[1] (analytic) = -1.0928733771988582103229697118681
y[1] (numeric) = -1.0928733771988582103229587540047
absolute error = 1.09578634e-23
relative error = 1.0026654165632692045251399454234e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9305
y[1] (analytic) = -1.0928522222364984770311428031291
y[1] (numeric) = -1.0928522222364984770311318303216
absolute error = 1.09728075e-23
relative error = 1.0040522658721767857297380427093e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9304
y[1] (analytic) = -1.0928310655460748752757531114116
y[1] (numeric) = -1.092831065546074875275742123663
absolute error = 1.09877486e-23
relative error = 1.0054388959477054033945913327534e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9303
y[1] (analytic) = -1.0928099071273946005430601319763
y[1] (numeric) = -1.0928099071273946005430491292898
absolute error = 1.10026865e-23
relative error = 1.0068252884824331067828882276909e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9302
y[1] (analytic) = -1.0927887469802648230078728647511
y[1] (numeric) = -1.0927887469802648230078618471298
absolute error = 1.10176213e-23
relative error = 1.0082114526202173927244417274521e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9301
y[1] (analytic) = -1.0927675851044926875301748363322
y[1] (numeric) = -1.0927675851044926875301638037792
absolute error = 1.10325530e-23
relative error = 1.0095973883545460909397196661540e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.93
y[1] (analytic) = -1.0927464214998853136517488147424
y[1] (numeric) = -1.0927464214998853136517377672607
absolute error = 1.10474817e-23
relative error = 1.0109831048301593051343033990275e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9299
y[1] (analytic) = -1.0927252561662497955928012170088
y[1] (numeric) = -1.0927252561662497955927901546016
absolute error = 1.10624072e-23
relative error = 1.0123685837382108882902481185568e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9298
y[1] (analytic) = -1.092704089103393202248586209625
y[1] (numeric) = -1.0927040891033932022485751322953
absolute error = 1.10773297e-23
relative error = 1.0137538433748688423199088062030e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9297
y[1] (analytic) = -1.09268292031112257718602950196
y[1] (numeric) = -1.092682920311122577186018409711
absolute error = 1.10922490e-23
relative error = 1.0151388654305746629457131248259e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9296
y[1] (analytic) = -1.0926617497892449386403518326793
y[1] (numeric) = -1.0926617497892449386403407255141
absolute error = 1.11071652e-23
relative error = 1.0165236590502390205721644395997e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 2.178
x[1] = -1.9295
y[1] (analytic) = -1.0926405775375672795116921492412
y[1] (numeric) = -1.0926405775375672795116810271629
absolute error = 1.11220783e-23
relative error = 1.0179082242273397147592217464784e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9294
y[1] (analytic) = -1.0926194035558965673617304805322
y[1] (numeric) = -1.0926194035558965673617193435439
absolute error = 1.11369883e-23
relative error = 1.0192925609553528716051658022074e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9293
y[1] (analytic) = -1.0925982278440397444103105027062
y[1] (numeric) = -1.0925982278440397444102993508111
absolute error = 1.11518951e-23
relative error = 1.0206766600752577760722561125426e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9292
y[1] (analytic) = -1.0925770504018037275320617982917
y[1] (numeric) = -1.0925770504018037275320506314928
absolute error = 1.11667989e-23
relative error = 1.0220605398853401371652816718143e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9291
y[1] (analytic) = -1.0925558712289954082530218086298
y[1] (numeric) = -1.0925558712289954082530106269303
absolute error = 1.11816995e-23
relative error = 1.0234441820739032774844761553068e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.929
y[1] (analytic) = -1.0925346903254216527472574797095
y[1] (numeric) = -1.0925346903254216527472462831125
absolute error = 1.11965970e-23
relative error = 1.0248275957869117272587700253003e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9289
y[1] (analytic) = -1.0925135076908893018334866014625
y[1] (numeric) = -1.0925135076908893018334753899711
absolute error = 1.12114914e-23
relative error = 1.0262107810178331735431736258995e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.3MB, time=6.48
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9288
y[1] (analytic) = -1.0924923233252051709716988405833
y[1] (numeric) = -1.0924923233252051709716876142007
absolute error = 1.12263826e-23
relative error = 1.0275937286067512309640238708650e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9287
y[1] (analytic) = -1.0924711372281760502597764669385
y[1] (numeric) = -1.0924711372281760502597652256678
absolute error = 1.12412707e-23
relative error = 1.0289764477001576091556207275973e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9286
y[1] (analytic) = -1.0924499493996087044301147736297
y[1] (numeric) = -1.0924499493996087044301035174741
absolute error = 1.12561556e-23
relative error = 1.0303589291377774628183467589501e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.178
x[1] = -1.9285
y[1] (analytic) = -1.0924287598393098728462421907754
y[1] (numeric) = -1.092428759839309872846230919738
absolute error = 1.12710374e-23
relative error = 1.0317411820664540374568927364746e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.177
x[1] = -1.9284
y[1] (analytic) = -1.0924075685470862694994400930747
y[1] (numeric) = -1.0924075685470862694994288071587
absolute error = 1.12859160e-23
relative error = 1.0331231973255539401772331649393e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 2.177
x[1] = -1.9283
y[1] (analytic) = -1.0923863755227445830053623012203
y[1] (numeric) = -1.0923863755227445830053510004289
absolute error = 1.13007914e-23
relative error = 1.0345049749080018764191779382626e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9282
y[1] (analytic) = -1.0923651807660914766006542772229
y[1] (numeric) = -1.0923651807660914766006429615592
absolute error = 1.13156637e-23
relative error = 1.0358865239611685199155371929361e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9281
y[1] (analytic) = -1.0923439842769335881395720137134
y[1] (numeric) = -1.0923439842769335881395606831805
absolute error = 1.13305329e-23
relative error = 1.0372678444785078744634412374120e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.928
y[1] (analytic) = -1.0923227860550775300906006172872
y[1] (numeric) = -1.0923227860550775300905892718883
absolute error = 1.13453989e-23
relative error = 1.0386489272986691888464711518279e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9279
y[1] (analytic) = -1.092301586100329889533072585956
y[1] (numeric) = -1.0923015861003298895330612256943
absolute error = 1.13602617e-23
relative error = 1.0400297724145700616263131229053e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9278
y[1] (analytic) = -1.0922803844124972281537857807717
y[1] (numeric) = -1.0922803844124972281537744056504
absolute error = 1.13751213e-23
relative error = 1.0414103798191262811820569683198e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9277
y[1] (analytic) = -1.0922591809913860822436210916879
y[1] (numeric) = -1.0922591809913860822436097017101
absolute error = 1.13899778e-23
relative error = 1.0427907586605880073002693963162e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9276
y[1] (analytic) = -1.0922379758368029626941597977235
y[1] (numeric) = -1.0922379758368029626941483928923
absolute error = 1.14048312e-23
relative error = 1.0441709089324006426770808966826e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9275
y[1] (analytic) = -1.0922167689485543549943006214943
y[1] (numeric) = -1.092216768948554354994289201813
absolute error = 1.14196813e-23
relative error = 1.0455508123166245178990304280637e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9274
y[1] (analytic) = -1.0921955603264467192268764781784
y[1] (numeric) = -1.0921955603264467192268650436501
absolute error = 1.14345283e-23
relative error = 1.0469304871173739043783858810090e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9273
y[1] (analytic) = -1.0921743499702864900652709189784
y[1] (numeric) = -1.0921743499702864900652594696063
absolute error = 1.14493721e-23
relative error = 1.0483099241720417324821454116860e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 2.177
x[1] = -1.9272
y[1] (analytic) = -1.0921531378798800767700342691491
y[1] (numeric) = -1.0921531378798800767700228049365
absolute error = 1.14642126e-23
relative error = 1.0496891143173079230095347211459e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9271
y[1] (analytic) = -1.0921319240550338631854994606539
y[1] (numeric) = -1.0921319240550338631854879816039
absolute error = 1.14790500e-23
relative error = 1.0510680758583481012817326105427e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.927
y[1] (analytic) = -1.0921107084955542077363975595155
y[1] (numeric) = -1.0921107084955542077363860656313
absolute error = 1.14938842e-23
relative error = 1.0524467996320163907995021424856e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9269
y[1] (analytic) = -1.0920894912012474434244729879282
y[1] (numeric) = -1.092089491201247443424461479213
absolute error = 1.15087152e-23
relative error = 1.0538252856312123925113876013582e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9268
y[1] (analytic) = -1.0920682721719198778250984411957
y[1] (numeric) = -1.0920682721719198778250869176526
absolute error = 1.15235431e-23
relative error = 1.0552035430057705547971793080816e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9267
y[1] (analytic) = -1.0920470514073777930838894995608
y[1] (numeric) = -1.0920470514073777930838779611931
absolute error = 1.15383677e-23
relative error = 1.0565815534348914592220681253273e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9266
y[1] (analytic) = -1.0920258289074274459133189349935
y[1] (numeric) = -1.0920258289074274459133073818044
absolute error = 1.15531891e-23
relative error = 1.0579593260682280042791549079079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9265
y[1] (analytic) = -1.0920046046718750675893307130019
y[1] (numeric) = -1.0920046046718750675893191449946
absolute error = 1.15680073e-23
relative error = 1.0593368608986725251790559020314e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9264
y[1] (analytic) = -1.0919833787005268639479536895332
y[1] (numeric) = -1.0919833787005268639479421067109
absolute error = 1.15828223e-23
relative error = 1.0607141579191155393280423028202e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9263
memory used=110.6MB, alloc=4.3MB, time=6.72
y[1] (analytic) = -1.0919621509931890153819150030301
y[1] (numeric) = -1.0919621509931890153819034053961
absolute error = 1.15976340e-23
relative error = 1.0620912079646191755967284756444e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9262
y[1] (analytic) = -1.091940921549667676837253161709
y[1] (numeric) = -1.0919409215496676768372415492665
absolute error = 1.16124425e-23
relative error = 1.0634680201855407925992552315493e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 2.177
x[1] = -1.9261
y[1] (analytic) = -1.0919196903697689778099308261259
y[1] (numeric) = -1.091919690369768977809919198878
absolute error = 1.16272479e-23
relative error = 1.0648446037329480699732110713882e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.926
y[1] (analytic) = -1.0918984574532990223424472870959
y[1] (numeric) = -1.0918984574532990223424356450459
absolute error = 1.16420500e-23
relative error = 1.0662209402835369060040972741868e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9259
y[1] (analytic) = -1.0918772228000638890204506390336
y[1] (numeric) = -1.0918772228000638890204389821848
absolute error = 1.16568488e-23
relative error = 1.0675970298296543898484262545057e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9258
y[1] (analytic) = -1.0918559864098696309693496487799
y[1] (numeric) = -1.0918559864098696309693379771355
absolute error = 1.16716444e-23
relative error = 1.0689728815223626749747808649403e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9257
y[1] (analytic) = -1.0918347482825222758509253199814
y[1] (numeric) = -1.0918347482825222758509136335446
absolute error = 1.16864368e-23
relative error = 1.0703484953545394097851353220251e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9256
y[1] (analytic) = -1.0918135084178278258599421530897
y[1] (numeric) = -1.0918135084178278258599304518637
absolute error = 1.17012260e-23
relative error = 1.0717238713190604204583229703516e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9255
y[1] (analytic) = -1.0917922668155922577207591010462
y[1] (numeric) = -1.0917922668155922577207473850343
absolute error = 1.17160119e-23
relative error = 1.0730990002495481714912437132338e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9254
y[1] (analytic) = -1.0917710234756215226839402207201
y[1] (numeric) = -1.0917710234756215226839284899256
absolute error = 1.17307945e-23
relative error = 1.0744738821383401893908280806794e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9253
y[1] (analytic) = -1.0917497783977215465228650201652
y[1] (numeric) = -1.0917497783977215465228532745913
absolute error = 1.17455739e-23
relative error = 1.0758485261373800438366530533540e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9252
y[1] (analytic) = -1.0917285315816982295303385017625
y[1] (numeric) = -1.0917285315816982295303267414124
absolute error = 1.17603501e-23
relative error = 1.0772229322395361374931237636498e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.9251
y[1] (analytic) = -1.0917072830273574465152009013158
y[1] (numeric) = -1.0917072830273574465151891261928
absolute error = 1.17751230e-23
relative error = 1.0785970912777105085630529499504e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 2.177
x[1] = -1.925
y[1] (analytic) = -1.0916860327345050467989371231669
y[1] (numeric) = -1.0916860327345050467989253332743
absolute error = 1.17898926e-23
relative error = 1.0799710032442329973134616113124e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9249
y[1] (analytic) = -1.0916647807029468542122858713974
y[1] (numeric) = -1.0916647807029468542122740667383
absolute error = 1.18046591e-23
relative error = 1.0813446864520738264903481477606e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9248
y[1] (analytic) = -1.0916435269324886670918484771832
y[1] (numeric) = -1.091643526932488667091836657761
absolute error = 1.18194222e-23
relative error = 1.0827181134131304595738418252839e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9247
y[1] (analytic) = -1.0916222714229362582766974223709
y[1] (numeric) = -1.0916222714229362582766855881888
absolute error = 1.18341821e-23
relative error = 1.0840913024405476616695769442604e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9246
y[1] (analytic) = -1.0916010141740953751049845593407
y[1] (numeric) = -1.0916010141740953751049727104019
absolute error = 1.18489388e-23
relative error = 1.0854642535271826832684978357177e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9245
y[1] (analytic) = -1.0915797551857717394105490272243
y[1] (numeric) = -1.0915797551857717394105371635322
absolute error = 1.18636921e-23
relative error = 1.0868369483438215741281453542298e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9244
y[1] (analytic) = -1.0915584944577710475195248645459
y[1] (numeric) = -1.0915584944577710475195129861036
absolute error = 1.18784423e-23
relative error = 1.0882094143658866864766656855425e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9243
y[1] (analytic) = -1.0915372319898989702469483183508
y[1] (numeric) = -1.0915372319898989702469364251617
absolute error = 1.18931891e-23
relative error = 1.0895816241025902966207190611761e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9242
y[1] (analytic) = -1.0915159677819611528933648498926
y[1] (numeric) = -1.0915159677819611528933529419601
absolute error = 1.19079325e-23
relative error = 1.0909535775457114158268786823680e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9241
y[1] (analytic) = -1.0914947018337632152414358369436
y[1] (numeric) = -1.0914947018337632152414239142709
absolute error = 1.19226727e-23
relative error = 1.0923252930105240626449930491798e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.924
y[1] (analytic) = -1.0914734341451107515525449727968
y[1] (numeric) = -1.0914734341451107515525330353872
absolute error = 1.19374096e-23
relative error = 1.0936967613279471179443449369295e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 2.177
x[1] = -1.9239
y[1] (analytic) = -1.0914521647158093305634043620279
y[1] (numeric) = -1.0914521647158093305633924098846
absolute error = 1.19521433e-23
relative error = 1.0950679916523946843115038112777e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9238
y[1] (analytic) = -1.0914308935456644954826603130836
y[1] (numeric) = -1.09143089354566449548264834621
absolute error = 1.19668736e-23
relative error = 1.0964389656521406389949920156008e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
memory used=114.4MB, alloc=4.3MB, time=6.97
x[1] = -1.9237
y[1] (analytic) = -1.0914096206344817639874988277652
y[1] (numeric) = -1.0914096206344817639874868461645
absolute error = 1.19816007e-23
relative error = 1.0978097016438793749851697500316e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9236
y[1] (analytic) = -1.0913883459820666282202507876736
y[1] (numeric) = -1.0913883459820666282202387913492
absolute error = 1.19963244e-23
relative error = 1.0991801812951665940219764483422e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9235
y[1] (analytic) = -1.0913670695882245547849968376861
y[1] (numeric) = -1.0913670695882245547849848266412
absolute error = 1.20110449e-23
relative error = 1.1005504229234070993005552022429e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9234
y[1] (analytic) = -1.0913457914527609847441719665296
y[1] (numeric) = -1.0913457914527609847441599407675
absolute error = 1.20257621e-23
relative error = 1.1019204173584368794501404310758e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9233
y[1] (analytic) = -1.0913245115754813336151697845212
y[1] (numeric) = -1.0913245115754813336151577440453
absolute error = 1.20404759e-23
relative error = 1.1032901554293754060005851795786e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9232
y[1] (analytic) = -1.0913032299561909913669464985426
y[1] (numeric) = -1.0913032299561909913669344433563
absolute error = 1.20551863e-23
relative error = 1.1046596371279814168418849874721e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9231
y[1] (analytic) = -1.0912819465946953224166245843169
y[1] (numeric) = -1.0912819465946953224166125144234
absolute error = 1.20698935e-23
relative error = 1.1060288807730809817195987717272e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.923
y[1] (analytic) = -1.0912606614907996656260961560552
y[1] (numeric) = -1.0912606614907996656260840714578
absolute error = 1.20845974e-23
relative error = 1.1073978771937876097947604352402e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9229
y[1] (analytic) = -1.0912393746443093342986260335427
y[1] (numeric) = -1.0912393746443093342986139342448
absolute error = 1.20992979e-23
relative error = 1.1087666172184979452248119480037e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 2.177
x[1] = -1.9228
y[1] (analytic) = -1.0912180860550296161754545067318
y[1] (numeric) = -1.0912180860550296161754423927366
absolute error = 1.21139952e-23
relative error = 1.1101351191671045035165791685756e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9227
y[1] (analytic) = -1.0911967957227657734323997979093
y[1] (numeric) = -1.0911967957227657734323876692203
absolute error = 1.21286890e-23
relative error = 1.1115033555396791809314800253892e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9226
y[1] (analytic) = -1.0911755036473230426764602215093
y[1] (numeric) = -1.0911755036473230426764480781298
absolute error = 1.21433795e-23
relative error = 1.1128713446562892047161795853236e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9225
y[1] (analytic) = -1.0911542098285066349424160416367
y[1] (numeric) = -1.09115420982850663494240388357
absolute error = 1.21580667e-23
relative error = 1.1142390865092154210028239301042e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9224
y[1] (analytic) = -1.0911329142661217356894310273725
y[1] (numeric) = -1.0911329142661217356894188546219
absolute error = 1.21727506e-23
relative error = 1.1156065810907367058799778484715e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9223
y[1] (analytic) = -1.0911116169599735047976537059282
y[1] (numeric) = -1.091111616959973504797641518497
absolute error = 1.21874312e-23
relative error = 1.1169738283931299647993061275609e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9222
y[1] (analytic) = -1.0910903179098670765648183137184
y[1] (numeric) = -1.0910903179098670765648061116101
absolute error = 1.22021083e-23
relative error = 1.1183408100783819132095294245983e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9221
y[1] (analytic) = -1.0910690171156075597028454454209
y[1] (numeric) = -1.0910690171156075597028332286387
absolute error = 1.22167822e-23
relative error = 1.1197075536336610520245113983172e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.922
y[1] (analytic) = -1.0910477145770000373344424010914
y[1] (numeric) = -1.0910477145770000373344301696387
absolute error = 1.22314527e-23
relative error = 1.1210740407207711143689183022849e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9219
y[1] (analytic) = -1.0910264102938495669897032314042
y[1] (numeric) = -1.0910264102938495669896909852843
absolute error = 1.22461199e-23
relative error = 1.1224402804971250967280606464994e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9218
y[1] (analytic) = -1.0910051042659611806027084810854
y[1] (numeric) = -1.0910051042659611806026962203017
absolute error = 1.22607837e-23
relative error = 1.1238062637891299537989367280097e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 2.177
x[1] = -1.9217
y[1] (analytic) = -1.0909837964931398845081246306098
y[1] (numeric) = -1.0909837964931398845081123551657
absolute error = 1.22754441e-23
relative error = 1.1251719905885135754201464983029e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9216
y[1] (analytic) = -1.0909624869751906594378032362286
y[1] (numeric) = -1.0909624869751906594377909461275
absolute error = 1.22901011e-23
relative error = 1.1265374608870017466725398438853e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9215
y[1] (analytic) = -1.090941175711918460517379768399
y[1] (numeric) = -1.0909411757119184605173674636442
absolute error = 1.23047548e-23
relative error = 1.1279026838427152203740712864280e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9214
y[1] (analytic) = -1.0909198627031282172628721486829
y[1] (numeric) = -1.0909198627031282172628598292778
absolute error = 1.23194051e-23
relative error = 1.1292676502813366599471182716876e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9213
y[1] (analytic) = -1.0908985479486248335772789851861
y[1] (numeric) = -1.090898547948624833577266651134
absolute error = 1.23340521e-23
relative error = 1.1306323693613408550790868437109e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9212
y[1] (analytic) = -1.0908772314482131877471775066054
y[1] (numeric) = -1.0908772314482131877471651579098
absolute error = 1.23486956e-23
relative error = 1.1319968227411138399308370259438e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
memory used=118.2MB, alloc=4.3MB, time=7.21
x[1] = -1.9211
y[1] (analytic) = -1.090855913201698132439321194955
y[1] (numeric) = -1.0908559132016981324393088316192
absolute error = 1.23633358e-23
relative error = 1.1333610287460606148104655781151e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.921
y[1] (analytic) = -1.0908345932088844946972371170395
y[1] (numeric) = -1.0908345932088844946972247390669
absolute error = 1.23779726e-23
relative error = 1.1347249782011391953611445805329e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9209
y[1] (analytic) = -1.0908132714695770759378229547452
y[1] (numeric) = -1.0908132714695770759378105621392
absolute error = 1.23926060e-23
relative error = 1.1360886710980607457421422978455e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9208
y[1] (analytic) = -1.0907919479835806519479437342176
y[1] (numeric) = -1.0907919479835806519479313269817
absolute error = 1.24072359e-23
relative error = 1.1374520982608832219706549806240e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9207
y[1] (analytic) = -1.0907706227506999728810282539964
y[1] (numeric) = -1.0907706227506999728810158321338
absolute error = 1.24218626e-23
relative error = 1.1388152871842668630236270362214e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9206
y[1] (analytic) = -1.0907492957707397632536652121757
y[1] (numeric) = -1.0907492957707397632536527756899
absolute error = 1.24364858e-23
relative error = 1.1401782103569632067307331929069e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 2.177
x[1] = -1.9205
y[1] (analytic) = -1.090727967043504721942199032662
y[1] (numeric) = -1.0907279670435047219421865815564
absolute error = 1.24511056e-23
relative error = 1.1415408769383260726119660228796e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9204
y[1] (analytic) = -1.0907066365687995221793253905968
y[1] (numeric) = -1.0907066365687995221793129248748
absolute error = 1.24657220e-23
relative error = 1.1429032869200560695063852871894e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9203
y[1] (analytic) = -1.0906853043464288115506864370164
y[1] (numeric) = -1.0906853043464288115506739566815
absolute error = 1.24803349e-23
relative error = 1.1442654311253042120357816946837e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9202
y[1] (analytic) = -1.0906639703761972119914657228177
y[1] (numeric) = -1.0906639703761972119914532278732
absolute error = 1.24949445e-23
relative error = 1.1456273278826825032730310879815e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9201
y[1] (analytic) = -1.0906426346579093197829828220995
y[1] (numeric) = -1.0906426346579093197829703125489
absolute error = 1.25095506e-23
relative error = 1.1469889588466108636338477937531e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.92
y[1] (analytic) = -1.0906212971913697055492876549513
y[1] (numeric) = -1.0906212971913697055492751307979
absolute error = 1.25241534e-23
relative error = 1.1483503423464144338250007558592e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9199
y[1] (analytic) = -1.0905999579763829142537545097578
y[1] (numeric) = -1.0905999579763829142537419710051
absolute error = 1.25387527e-23
relative error = 1.1497114600357914502460547333473e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9198
y[1] (analytic) = -1.0905786170127534651956757650912
y[1] (numeric) = -1.0905786170127534651956632117426
absolute error = 1.25533486e-23
relative error = 1.1510723210753359555512539298448e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9197
y[1] (analytic) = -1.09055727430028585200685531126
y[1] (numeric) = -1.0905572743002858520068427433189
absolute error = 1.25679411e-23
relative error = 1.1524329254567336892555282232472e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9196
y[1] (analytic) = -1.0905359298387845426482016715864
y[1] (numeric) = -1.0905359298387845426481890890562
absolute error = 1.25825302e-23
relative error = 1.1537932731716682734367118788935e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9195
y[1] (analytic) = -1.0905145836280539794063208234811
y[1] (numeric) = -1.0905145836280539794063082263654
absolute error = 1.25971157e-23
relative error = 1.1551533458718555662823768297480e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 2.177
x[1] = -1.9194
y[1] (analytic) = -1.090493235667898578890108719388
y[1] (numeric) = -1.0904932356678985788900961076901
absolute error = 1.26116979e-23
relative error = 1.1565131710583848753380038429481e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9193
y[1] (analytic) = -1.0904718859581227320273435076672
y[1] (numeric) = -1.0904718859581227320273308813905
absolute error = 1.26262767e-23
relative error = 1.1578727395531300721607969324017e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9192
y[1] (analytic) = -1.090450534498530804061277453489
y[1] (numeric) = -1.090450534498530804061264812637
absolute error = 1.26408520e-23
relative error = 1.1592320421772448028530026382484e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9191
y[1] (analytic) = -1.0904291812889271345472285598086
y[1] (numeric) = -1.0904291812889271345472159043848
absolute error = 1.26554238e-23
relative error = 1.1605910789218632853021838255379e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.919
y[1] (analytic) = -1.0904078263291160373491718884929
y[1] (numeric) = -1.0904078263291160373491592185007
absolute error = 1.26699922e-23
relative error = 1.1619498589489981034162868641222e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9189
y[1] (analytic) = -1.0903864696189018006363305816694
y[1] (numeric) = -1.0903864696189018006363178971122
absolute error = 1.26845572e-23
relative error = 1.1633083822503178435259375330083e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9188
y[1] (analytic) = -1.0903651111580886868797665833691
y[1] (numeric) = -1.0903651111580886868797538842505
absolute error = 1.26991186e-23
relative error = 1.1646666304750091932605164386469e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9187
y[1] (analytic) = -1.0903437509464809328489710615347
y[1] (numeric) = -1.0903437509464809328489583478581
absolute error = 1.27136766e-23
relative error = 1.1660246219564975981984996279598e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9186
y[1] (analytic) = -1.0903223889838827496084545304635
y[1] (numeric) = -1.0903223889838827496084418022323
absolute error = 1.27282312e-23
relative error = 1.1673823566864451443869120447648e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.3MB, time=7.45
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9185
y[1] (analytic) = -1.0903010252700983225143366737583
y[1] (numeric) = -1.090301025270098322514323930976
absolute error = 1.27427823e-23
relative error = 1.1687398254847328366777194122755e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.177
x[1] = -1.9184
y[1] (analytic) = -1.0902796598049318112109358678563
y[1] (numeric) = -1.0902796598049318112109231105264
absolute error = 1.27573299e-23
relative error = 1.1700970283424793121667826757814e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 2.176
x[1] = -1.9183
y[1] (analytic) = -1.0902582925881873496273584062072
y[1] (numeric) = -1.0902582925881873496273456343332
absolute error = 1.27718740e-23
relative error = 1.1714539652508009514580896905945e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9182
y[1] (analytic) = -1.0902369236196690459740874241728
y[1] (numeric) = -1.0902369236196690459740746377582
absolute error = 1.27864146e-23
relative error = 1.1728106362008118779858828755560e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9181
y[1] (analytic) = -1.0902155528991809827395715247191
y[1] (numeric) = -1.0902155528991809827395587237672
absolute error = 1.28009519e-23
relative error = 1.1741670595286199967110930479205e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.918
y[1] (analytic) = -1.0901941804265272166868131049712
y[1] (numeric) = -1.0901941804265272166868002894857
absolute error = 1.28154855e-23
relative error = 1.1755231985357024763953397808332e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9179
y[1] (analytic) = -1.0901728062015117788499563837057
y[1] (numeric) = -1.09017280620151177884994355369
absolute error = 1.28300157e-23
relative error = 1.1768790807306607893415597799347e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9178
y[1] (analytic) = -1.0901514302239386745308751298482
y[1] (numeric) = -1.0901514302239386745308622853058
absolute error = 1.28445424e-23
relative error = 1.1782346969321020692352233091666e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9177
y[1] (analytic) = -1.0901300524936118832957600920514
y[1] (numeric) = -1.0901300524936118832957472329858
absolute error = 1.28590656e-23
relative error = 1.1795900471311292089016447941712e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9176
y[1] (analytic) = -1.0901086730103353589717061294227
y[1] (numeric) = -1.0901086730103353589716932558374
absolute error = 1.28735853e-23
relative error = 1.1809451313188428399394370514187e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9175
y[1] (analytic) = -1.090087291773913029643299043475
y[1] (numeric) = -1.0900872917739130296432861553735
absolute error = 1.28881015e-23
relative error = 1.1822999494863413320410008880538e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9174
y[1] (analytic) = -1.090065908784148797649202111372
y[1] (numeric) = -1.0900659087841487976491892087578
absolute error = 1.29026142e-23
relative error = 1.1836545016247207923127797183226e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9173
y[1] (analytic) = -1.0900445240408465395787423205396
y[1] (numeric) = -1.0900445240408465395787294034161
absolute error = 1.29171235e-23
relative error = 1.1850087968990122565638490156055e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 2.176
x[1] = -1.9172
y[1] (analytic) = -1.0900231375438101062684963047159
y[1] (numeric) = -1.0900231375438101062684833730867
absolute error = 1.29316292e-23
relative error = 1.1863628169526129154449378821496e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9171
y[1] (analytic) = -1.0900017492928433227988759815123
y[1] (numeric) = -1.0900017492928433227988630353809
absolute error = 1.29461314e-23
relative error = 1.1877165709503693033244911928221e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.917
y[1] (analytic) = -1.0899803592877499884907138915571
y[1] (numeric) = -1.0899803592877499884907009309271
absolute error = 1.29606300e-23
relative error = 1.1890700497088912286369134051890e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9169
y[1] (analytic) = -1.0899589675283338769018482392943
y[1] (numeric) = -1.0899589675283338769018352641691
absolute error = 1.29751252e-23
relative error = 1.1904232715680378982361056239940e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9168
y[1] (analytic) = -1.0899375740143987358237076355098
y[1] (numeric) = -1.0899375740143987358236946458929
absolute error = 1.29896169e-23
relative error = 1.1917762273445946262436955403204e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9167
y[1] (analytic) = -1.0899161787457482872778955416576
y[1] (numeric) = -1.0899161787457482872778825375526
absolute error = 1.30041050e-23
relative error = 1.1931289078546241750213455151901e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9166
y[1] (analytic) = -1.0898947817221862275127744160586
y[1] (numeric) = -1.089894781722186227512761397469
absolute error = 1.30185896e-23
relative error = 1.1944813222638617626702729505508e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9165
y[1] (analytic) = -1.0898733829435162270000495620437
y[1] (numeric) = -1.0898733829435162270000365289731
absolute error = 1.30330706e-23
relative error = 1.1958334613880052760025841341079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9164
y[1] (analytic) = -1.0898519824095419304313526781149
y[1] (numeric) = -1.0898519824095419304313396305668
absolute error = 1.30475481e-23
relative error = 1.1971853343931455153040467716479e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9163
y[1] (analytic) = -1.0898305801200669567148251101963
y[1] (numeric) = -1.0898305801200669567148120481742
absolute error = 1.30620221e-23
relative error = 1.1985369412703535231607958535283e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9162
y[1] (analytic) = -1.0898091760748948989717008060483
y[1] (numeric) = -1.0898091760748948989716877295558
absolute error = 1.30764925e-23
relative error = 1.1998882728347797367313693813894e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 2.176
x[1] = -1.9161
y[1] (analytic) = -1.0897877702738293245328889719171
y[1] (numeric) = -1.0897877702738293245328758809578
absolute error = 1.30909593e-23
relative error = 1.2012393290769499513804582884367e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.916
y[1] (analytic) = -1.0897663627166737749355564314937
y[1] (numeric) = -1.089766362716673774935543326071
absolute error = 1.31054227e-23
relative error = 1.2025901283399452120567254037731e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=7.70
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9159
y[1] (analytic) = -1.089744953403231765919709687253
y[1] (numeric) = -1.0897449534032317659196965673706
absolute error = 1.31198824e-23
relative error = 1.2039406430859908634290550231544e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9158
y[1] (analytic) = -1.0897235423333067874247766842493
y[1] (numeric) = -1.0897235423333067874247635499107
absolute error = 1.31343386e-23
relative error = 1.2052908916583435296555362000923e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9157
y[1] (analytic) = -1.089702129506702303586188276438
y[1] (numeric) = -1.0897021295067023035861751276467
absolute error = 1.31487913e-23
relative error = 1.2066408740480604213985123980210e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9156
y[1] (analytic) = -1.0896807149232217527319593955988
y[1] (numeric) = -1.0896807149232217527319462323585
absolute error = 1.31632403e-23
relative error = 1.2079905718921963291111386055226e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9155
y[1] (analytic) = -1.0896592985826685473792699229333
y[1] (numeric) = -1.0896592985826685473792567452475
absolute error = 1.31776858e-23
relative error = 1.2093400035350825931763602240817e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9154
y[1] (analytic) = -1.0896378804848460742310452634091
y[1] (numeric) = -1.0896378804848460742310320712813
absolute error = 1.31921278e-23
relative error = 1.2106891689677694660467662375132e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9153
y[1] (analytic) = -1.0896164606295576941725366229254
y[1] (numeric) = -1.0896164606295576941725234163592
absolute error = 1.32065662e-23
relative error = 1.2120380590037636860994497484929e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9152
y[1] (analytic) = -1.0895950390166067422679009883724
y[1] (numeric) = -1.0895950390166067422678877673715
absolute error = 1.32210009e-23
relative error = 1.2133866644558479862829787309769e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.9151
y[1] (analytic) = -1.0895736156457965277567808106587
y[1] (numeric) = -1.0895736156457965277567675752265
absolute error = 1.32354322e-23
relative error = 1.2147350128476893656775762506990e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 2.176
x[1] = -1.915
y[1] (analytic) = -1.0895521905169303340508833907792
y[1] (numeric) = -1.0895521905169303340508701409193
absolute error = 1.32498599e-23
relative error = 1.2160830858147049974872479056391e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9149
y[1] (analytic) = -1.0895307636298114187305599689988
y[1] (numeric) = -1.089530763629811418730546704715
absolute error = 1.32642838e-23
relative error = 1.2174308649908659253834486906548e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9148
y[1] (analytic) = -1.0895093349842430135413845172246
y[1] (numeric) = -1.0895093349842430135413712385203
absolute error = 1.32787043e-23
relative error = 1.2187783870793583191659965614803e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9147
y[1] (analytic) = -1.0894879045800283243907322346393
y[1] (numeric) = -1.0894879045800283243907189415181
absolute error = 1.32931212e-23
relative error = 1.2201256337145093931491623121384e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9146
y[1] (analytic) = -1.0894664724169705313443577466724
y[1] (numeric) = -1.089466472416970531344344439138
absolute error = 1.33075344e-23
relative error = 1.2214725957080044247062075017209e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9145
y[1] (analytic) = -1.0894450384948727886229730073808
y[1] (numeric) = -1.0894450384948727886229596854367
absolute error = 1.33219441e-23
relative error = 1.2228192914077598536724658751689e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9144
y[1] (analytic) = -1.0894236028135382245988249053133
y[1] (numeric) = -1.0894236028135382245988115689631
absolute error = 1.33363502e-23
relative error = 1.2241657116256366918231338781964e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9143
y[1] (analytic) = -1.0894021653727699417922725729335
y[1] (numeric) = -1.0894021653727699417922592221809
absolute error = 1.33507526e-23
relative error = 1.2255118471727711501873742441278e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9142
y[1] (analytic) = -1.0893807261723710168683643996757
y[1] (numeric) = -1.0893807261723710168683510345242
absolute error = 1.33651515e-23
relative error = 1.2268577163981559995689242857416e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9141
y[1] (analytic) = -1.0893592852121445006334147487057
y[1] (numeric) = -1.089359285212144500633401369159
absolute error = 1.33795467e-23
relative error = 1.2282033009333953802460803540451e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.914
y[1] (analytic) = -1.0893378424918934180315803774641
y[1] (numeric) = -1.0893378424918934180315669835258
absolute error = 1.33939383e-23
relative error = 1.2295486099483112711111955994204e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 2.176
x[1] = -1.9139
y[1] (analytic) = -1.0893163980114207681414365620636
y[1] (numeric) = -1.0893163980114207681414231537373
absolute error = 1.34083263e-23
relative error = 1.2308936434333766901502012606002e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9138
y[1] (analytic) = -1.0892949517705295241725529256163
y[1] (numeric) = -1.0892949517705295241725395029056
absolute error = 1.34227107e-23
relative error = 1.2322384013790622361181254483046e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9137
y[1] (analytic) = -1.0892735037690226334620689705644
y[1] (numeric) = -1.089273503769022633462055533473
absolute error = 1.34370914e-23
relative error = 1.2335828745954053095009805174846e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9136
y[1] (analytic) = -1.0892520540067030174712693150903
y[1] (numeric) = -1.0892520540067030174712558636218
absolute error = 1.34514685e-23
relative error = 1.2349270722529408810818226590620e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9135
y[1] (analytic) = -1.0892306024833735717821586336791
y[1] (numeric) = -1.0892306024833735717821451678372
absolute error = 1.34658419e-23
relative error = 1.2362709851613398557561965360275e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9134
y[1] (analytic) = -1.0892091491988371660940363019092
y[1] (numeric) = -1.0892091491988371660940228216974
absolute error = 1.34802118e-23
relative error = 1.2376146316724669872578642110487e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.3MB, time=7.93
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9133
y[1] (analytic) = -1.0891876941528966442200707455452
y[1] (numeric) = -1.0891876941528966442200572509672
absolute error = 1.34945780e-23
relative error = 1.2389579934150150988367774221919e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9132
y[1] (analytic) = -1.0891662373453548240838734940085
y[1] (numeric) = -1.089166237345354824083859985068
absolute error = 1.35089405e-23
relative error = 1.2403010703788975805612085167455e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9131
y[1] (analytic) = -1.0891447787760144977160729383003
y[1] (numeric) = -1.0891447787760144977160594150009
absolute error = 1.35232994e-23
relative error = 1.2416438717355410710447385564880e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.913
y[1] (analytic) = -1.089123318444678431250887793451
y[1] (numeric) = -1.0891233184446784312508742557963
absolute error = 1.35376547e-23
relative error = 1.2429863974753965911364760332847e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9129
y[1] (analytic) = -1.0891018563511493649227002655726
y[1] (numeric) = -1.0891018563511493649226867135664
absolute error = 1.35520062e-23
relative error = 1.2443286292251574237446270601219e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9128
y[1] (analytic) = -1.0890803924952300130626289235886
y[1] (numeric) = -1.0890803924952300130626153572344
absolute error = 1.35663542e-23
relative error = 1.2456705945203598296019541818551e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 2.176
x[1] = -1.9127
y[1] (analytic) = -1.0890589268767230640951012757155
y[1] (numeric) = -1.089058926876723064095087695017
absolute error = 1.35806985e-23
relative error = 1.2470122749875111691695056983972e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9126
y[1] (analytic) = -1.0890374594954311805344260507727
y[1] (numeric) = -1.0890374594954311805344124557337
absolute error = 1.35950390e-23
relative error = 1.2483536614340890837908597924036e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9125
y[1] (analytic) = -1.0890159903511569989813651843959
y[1] (numeric) = -1.08901599035115699898135157502
absolute error = 1.36093759e-23
relative error = 1.2496947722146494232342749681220e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9124
y[1] (analytic) = -1.0889945194437031301197055102277
y[1] (numeric) = -1.0889945194437031301196918865185
absolute error = 1.36237092e-23
relative error = 1.2510356073196283783509787549276e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9123
y[1] (analytic) = -1.0889730467728721587128301561631
y[1] (numeric) = -1.0889730467728721587128165181243
absolute error = 1.36380388e-23
relative error = 1.2523761575564959718836158037708e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9122
y[1] (analytic) = -1.088951572338466643600289645724
y[1] (numeric) = -1.0889515723384666436002759933593
absolute error = 1.36523647e-23
relative error = 1.2537164229151402614526472390105e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9121
y[1] (analytic) = -1.0889300961402891176943727046389
y[1] (numeric) = -1.088930096140289117694359037952
absolute error = 1.36666869e-23
relative error = 1.2550564033854467408460560693173e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.912
y[1] (analytic) = -1.088908618178142087976676772703
y[1] (numeric) = -1.0889086181781420879766630916976
absolute error = 1.36810054e-23
relative error = 1.2563960989572983392496168698687e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9119
y[1] (analytic) = -1.0888871384518280354946782209949
y[1] (numeric) = -1.0888871384518280354946645256746
absolute error = 1.36953203e-23
relative error = 1.2577355188042636530497705585870e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9118
y[1] (analytic) = -1.088865656961149415358302274525
y[1] (numeric) = -1.0888656569611494153582885648936
absolute error = 1.37096314e-23
relative error = 1.2590746445490251935168411515152e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9117
y[1] (analytic) = -1.0888441737059086567364926403929
y[1] (numeric) = -1.088844173705908656736478916454
absolute error = 1.37239389e-23
relative error = 1.2604134945490158793643611774079e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 2.176
x[1] = -1.9116
y[1] (analytic) = -1.0888226886859081628537808415277
y[1] (numeric) = -1.088822688685908162853767103285
absolute error = 1.37382427e-23
relative error = 1.2617520596104202072024076930115e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9115
y[1] (analytic) = -1.0888012019009503109868552560888
y[1] (numeric) = -1.0888012019009503109868415035461
absolute error = 1.37525427e-23
relative error = 1.2630903305386952580121857421531e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9114
y[1] (analytic) = -1.0887797133508374524611298626032
y[1] (numeric) = -1.0887797133508374524611160957641
absolute error = 1.37668391e-23
relative error = 1.2644283256923535159535094097418e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9113
y[1] (analytic) = -1.0887582230353719126473126909137
y[1] (numeric) = -1.088758223035371912647298909782
absolute error = 1.37811317e-23
relative error = 1.2657660266922525320590902022045e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9112
y[1] (analytic) = -1.0887367309543559909579739790174
y[1] (numeric) = -1.0887367309543559909579601835967
absolute error = 1.37954207e-23
relative error = 1.2671034518976247173345321495663e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9111
y[1] (analytic) = -1.0887152371075919608441140358668
y[1] (numeric) = -1.088715237107591960844100226161
absolute error = 1.38097058e-23
relative error = 1.2684405737434590450732418767471e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.911
y[1] (analytic) = -1.0886937414948820697917308102142
y[1] (numeric) = -1.0886937414948820697917169862269
absolute error = 1.38239873e-23
relative error = 1.2697774197744835958666544215222e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9109
y[1] (analytic) = -1.0886722441160285393183871655716
y[1] (numeric) = -1.0886722441160285393183733273065
absolute error = 1.38382651e-23
relative error = 1.2711139807955960908112456208492e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9108
y[1] (analytic) = -1.0886507449708335649697778613659
y[1] (numeric) = -1.0886507449708335649697640088267
memory used=133.5MB, alloc=4.3MB, time=8.17
absolute error = 1.38525392e-23
relative error = 1.2724502567966486237457624009326e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9107
y[1] (analytic) = -1.0886292440590993163162962403643
y[1] (numeric) = -1.0886292440590993163162823735548
absolute error = 1.38668095e-23
relative error = 1.2737862385816268813799376887326e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9106
y[1] (analytic) = -1.0886077413806279369496006224469
y[1] (numeric) = -1.0886077413806279369495867413708
absolute error = 1.38810761e-23
relative error = 1.2751219353258787532337864381301e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 2.176
x[1] = -1.9105
y[1] (analytic) = -1.0885862369352215444791804048032
y[1] (numeric) = -1.0885862369352215444791665094643
absolute error = 1.38953389e-23
relative error = 1.2764573378330217993404965252365e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9104
y[1] (analytic) = -1.0885647307226822305289218686295
y[1] (numeric) = -1.0885647307226822305289079590314
absolute error = 1.39095981e-23
relative error = 1.2777924644651697392650807246656e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9103
y[1] (analytic) = -1.0885432227428120607336736924036
y[1] (numeric) = -1.0885432227428120607336597685501
absolute error = 1.39238535e-23
relative error = 1.2791272968395267052555655265635e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9102
y[1] (analytic) = -1.0885217129954130747358121718143
y[1] (numeric) = -1.0885217129954130747357982337092
absolute error = 1.39381051e-23
relative error = 1.2804618349453846702831359045455e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9101
y[1] (analytic) = -1.0885002014802872861818061464224
y[1] (numeric) = -1.0885002014802872861817921940694
absolute error = 1.39523530e-23
relative error = 1.2817960879589857195402787639890e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.91
y[1] (analytic) = -1.0884786881972366827187816331298
y[1] (numeric) = -1.0884786881972366827187676665327
absolute error = 1.39665971e-23
relative error = 1.2831300466830267292247107292354e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9099
y[1] (analytic) = -1.0884571731460632259910861665351
y[1] (numeric) = -1.0884571731460632259910721856976
absolute error = 1.39808375e-23
relative error = 1.2844637202941075986141077790019e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9098
y[1] (analytic) = -1.0884356563265688516368528462511
y[1] (numeric) = -1.088435656326568851636838851177
absolute error = 1.39950741e-23
relative error = 1.2857970995945567569199602658553e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9097
y[1] (analytic) = -1.0884141377385554692845640912635
y[1] (numeric) = -1.0884141377385554692845500819566
absolute error = 1.40093069e-23
relative error = 1.2871301845736527423493749627032e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9096
y[1] (analytic) = -1.0883926173818249625496151014067
y[1] (numeric) = -1.0883926173818249625496010778707
absolute error = 1.40235360e-23
relative error = 1.2884629844085323019346123031479e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9095
y[1] (analytic) = -1.088371095256179189030877026034
y[1] (numeric) = -1.0883710952561791890308629882728
absolute error = 1.40377612e-23
relative error = 1.2897954807129283782892744111311e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 2.176
x[1] = -1.9094
y[1] (analytic) = -1.0883495713614199803072598399617
y[1] (numeric) = -1.0883495713614199803072457879789
absolute error = 1.40519828e-23
relative error = 1.2911277010402392594096764309536e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.176
x[1] = -1.9093
y[1] (analytic) = -1.0883280456973491419342749267613
y[1] (numeric) = -1.0883280456973491419342608605608
absolute error = 1.40662005e-23
relative error = 1.2924596178156048478302211243610e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.176
x[1] = -1.9092
y[1] (analytic) = -1.0883065182637684534405973694813
y[1] (numeric) = -1.0883065182637684534405832890668
absolute error = 1.40804145e-23
relative error = 1.2937912494049205750226756504574e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.176
x[1] = -1.9091
y[1] (analytic) = -1.0882849890604796683246279488728
y[1] (numeric) = -1.0882849890604796683246138542481
absolute error = 1.40946247e-23
relative error = 1.2951225866092244846006415591607e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.176
x[1] = -1.909
y[1] (analytic) = -1.0882634580872845140510548491992
y[1] (numeric) = -1.0882634580872845140510407403681
absolute error = 1.41088311e-23
relative error = 1.2964536294177762191906135427764e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.176
x[1] = -1.9089
y[1] (analytic) = -1.0882419253439846920474150717063
y[1] (numeric) = -1.0882419253439846920474009486726
absolute error = 1.41230337e-23
relative error = 1.2977843778198326998398804364392e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.175
x[1] = -1.9088
y[1] (analytic) = -1.0882203908303818777006555558318
y[1] (numeric) = -1.0882203908303818777006414185993
absolute error = 1.41372325e-23
relative error = 1.2991148318046481251994230395784e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.175
x[1] = -1.9087
y[1] (analytic) = -1.0881988545462777203536940082312
y[1] (numeric) = -1.0881988545462777203536798568037
absolute error = 1.41514275e-23
relative error = 1.3004449913614739707065292516512e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.175
x[1] = -1.9086
y[1] (analytic) = -1.0881773164914738433019794396992
y[1] (numeric) = -1.0881773164914738433019652740805
absolute error = 1.41656187e-23
relative error = 1.3017748564795589877671264115587e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.175
x[1] = -1.9085
y[1] (analytic) = -1.0881557766657718437900524100634
y[1] (numeric) = -1.0881557766657718437900382302573
absolute error = 1.41798061e-23
relative error = 1.3031044271481492029378307301182e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.175
x[1] = -1.9084
y[1] (analytic) = -1.0881342350689732930081049811303
y[1] (numeric) = -1.0881342350689732930080907871406
absolute error = 1.41939897e-23
relative error = 1.3044337033564879171077137049097e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 2.175
x[1] = -1.9083
y[1] (analytic) = -1.0881126917008797360885403777598
y[1] (numeric) = -1.0881126917008797360885261695903
absolute error = 1.42081695e-23
relative error = 1.3057626850938157046797854067750e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
memory used=137.3MB, alloc=4.3MB, time=8.41
x[1] = -1.9082
y[1] (analytic) = -1.0880911465612926921025323571486
y[1] (numeric) = -1.0880911465612926921025181348032
absolute error = 1.42223454e-23
relative error = 1.3070913631589638630774561884812e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9081
y[1] (analytic) = -1.0880695996500136540565842863992
y[1] (numeric) = -1.0880695996500136540565700498817
absolute error = 1.42365175e-23
relative error = 1.3084197467312100679208992312170e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.908
y[1] (analytic) = -1.0880480509668440888890879284541
y[1] (numeric) = -1.0880480509668440888890736777682
absolute error = 1.42506859e-23
relative error = 1.3097478449905572075935969461206e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9079
y[1] (analytic) = -1.088026500511585437466881936473
y[1] (numeric) = -1.0880265005115854374668676716227
absolute error = 1.42648503e-23
relative error = 1.3110756303539231811846680347648e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9078
y[1] (analytic) = -1.088004948284039114581810056733
y[1] (numeric) = -1.088004948284039114581795777722
absolute error = 1.42790110e-23
relative error = 1.3124031303828465464585924350055e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9077
y[1] (analytic) = -1.0879833942840065089472790401278
y[1] (numeric) = -1.08798339428400650894726474696
absolute error = 1.42931678e-23
relative error = 1.3137303266844641162052303581913e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9076
y[1] (analytic) = -1.0879618385112889831948162623484
y[1] (numeric) = -1.0879618385112889831948019550276
absolute error = 1.43073208e-23
relative error = 1.3150572284389498290733761291049e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9075
y[1] (analytic) = -1.0879402809656878738706270528205
y[1] (numeric) = -1.0879402809656878738706127313505
absolute error = 1.43214700e-23
relative error = 1.3163838356355222848881663819473e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9074
y[1] (analytic) = -1.0879187216470044914321517324801
y[1] (numeric) = -1.0879187216470044914321373968648
absolute error = 1.43356153e-23
relative error = 1.3177101390715342066579182237694e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9073
y[1] (analytic) = -1.087897160555040120244622360465
y[1] (numeric) = -1.0878971605550401202446080107082
absolute error = 1.43497568e-23
relative error = 1.3190361479276975204597530899663e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 2.175
x[1] = -1.9072
y[1] (analytic) = -1.0878755976895960185776191898017
y[1] (numeric) = -1.0878755976895960185776048259074
absolute error = 1.43638943e-23
relative error = 1.3203618438087675289839869623062e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9071
y[1] (analytic) = -1.0878540330504734186016268321672
y[1] (numeric) = -1.0878540330504734186016124541391
absolute error = 1.43780281e-23
relative error = 1.3216872542800877091148186496385e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.907
y[1] (analytic) = -1.0878324666374735263845901318031
y[1] (numeric) = -1.0878324666374735263845757396451
absolute error = 1.43921580e-23
relative error = 1.3230123609462255604505991985303e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9069
y[1] (analytic) = -1.0878108984503975218884697486646
y[1] (numeric) = -1.0878108984503975218884553423806
absolute error = 1.44062840e-23
relative error = 1.3243371637958363451526580063336e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9068
y[1] (analytic) = -1.0877893284890465589657974508803
y[1] (numeric) = -1.0877893284890465589657830304741
absolute error = 1.44204062e-23
relative error = 1.3256616720105289734469661962146e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9067
y[1] (analytic) = -1.087767756753221765356231116604
y[1] (numeric) = -1.0877677567532217653562166820796
absolute error = 1.44345244e-23
relative error = 1.3269858671932222290563574118343e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9066
y[1] (analytic) = -1.0877461832427242426831094453386
y[1] (numeric) = -1.0877461832427242426830949966998
absolute error = 1.44486388e-23
relative error = 1.3283097677186581472765431743014e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9065
y[1] (analytic) = -1.0877246079573550664500063788096
y[1] (numeric) = -1.0877246079573550664499919160602
absolute error = 1.44627494e-23
relative error = 1.3296333735760275516925728495946e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9064
y[1] (analytic) = -1.0877030308969152860372852314694
y[1] (numeric) = -1.0877030308969152860372707546134
absolute error = 1.44768560e-23
relative error = 1.3309566663671467577708953861871e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9063
y[1] (analytic) = -1.0876814520612059246986525307127
y[1] (numeric) = -1.0876814520612059246986380397539
absolute error = 1.44909588e-23
relative error = 1.3322796644678432846706621271657e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9062
y[1] (analytic) = -1.0876598714500279795577115668802
y[1] (numeric) = -1.0876598714500279795576970618225
absolute error = 1.45050577e-23
relative error = 1.3336023586732488956493635472887e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.9061
y[1] (analytic) = -1.0876382890631824216045156531333
y[1] (numeric) = -1.0876382890631824216045011339805
absolute error = 1.45191528e-23
relative error = 1.3349247581662291231816271700692e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 2.175
x[1] = -1.906
y[1] (analytic) = -1.0876167049004701956921210952779
y[1] (numeric) = -1.087616704900470195692106562034
absolute error = 1.45332439e-23
relative error = 1.3362468445471296682086144489450e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9059
y[1] (analytic) = -1.0875951189616922205331398716184
y[1] (numeric) = -1.0875951189616922205331253242873
absolute error = 1.45473311e-23
relative error = 1.3375686269986278634492973762749e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9058
y[1] (analytic) = -1.0875735312466493886962920229212
y[1] (numeric) = -1.0875735312466493886962774615067
absolute error = 1.45614145e-23
relative error = 1.3388901147041280574129001187773e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9057
y[1] (analytic) = -1.0875519417551425666029577525677
y[1] (numeric) = -1.0875519417551425666029431770738
absolute error = 1.45754939e-23
relative error = 1.3402112892628724637950652622846e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
memory used=141.1MB, alloc=4.3MB, time=8.64
x[1] = -1.9056
y[1] (analytic) = -1.0875303504869725945237292369784
y[1] (numeric) = -1.087530350486972594523714647409
absolute error = 1.45895694e-23
relative error = 1.3415321598580771593885999405680e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9055
y[1] (analytic) = -1.0875087574419402865749621463869
y[1] (numeric) = -1.0875087574419402865749475427459
absolute error = 1.46036410e-23
relative error = 1.3428527264783572508117151077512e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9054
y[1] (analytic) = -1.0874871626198464307153268760444
y[1] (numeric) = -1.0874871626198464307153122583357
absolute error = 1.46177087e-23
relative error = 1.3441729891123249604253934531647e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9053
y[1] (analytic) = -1.0874655660204917887423594879362
y[1] (numeric) = -1.0874655660204917887423448561637
absolute error = 1.46317725e-23
relative error = 1.3454929477485896254671859360589e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9052
y[1] (analytic) = -1.0874439676436770962890123630893
y[1] (numeric) = -1.0874439676436770962889977172569
absolute error = 1.46458324e-23
relative error = 1.3468126023757576971847084529602e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9051
y[1] (analytic) = -1.0874223674892030628202045645527
y[1] (numeric) = -1.0874223674892030628201899046643
absolute error = 1.46598884e-23
relative error = 1.3481319529824327399688385202607e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.905
y[1] (analytic) = -1.0874007655568703716293719111304
y[1] (numeric) = -1.0874007655568703716293572371901
absolute error = 1.46739403e-23
relative error = 1.3494509811647325175674074938084e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 2.175
x[1] = -1.9049
y[1] (analytic) = -1.0873791618464796798350167619488
y[1] (numeric) = -1.0873791618464796798350020739604
absolute error = 1.46879884e-23
relative error = 1.3507697144994310632551147398284e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9048
y[1] (analytic) = -1.0873575563578316183772575119373
y[1] (numeric) = -1.0873575563578316183772428099048
absolute error = 1.47020325e-23
relative error = 1.3520881345824575431686907386875e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9047
y[1] (analytic) = -1.0873359490907267920143777983059
y[1] (numeric) = -1.0873359490907267920143630822332
absolute error = 1.47160727e-23
relative error = 1.3534062505986452882291099816806e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9046
y[1] (analytic) = -1.0873143400449657793193754180978
y[1] (numeric) = -1.0873143400449657793193606879889
absolute error = 1.47301089e-23
relative error = 1.3547240533396108591549351636609e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9045
y[1] (analytic) = -1.0872927292203491326765109569002
y[1] (numeric) = -1.087292729220349132676496212759
absolute error = 1.47441412e-23
relative error = 1.3560415519905471750336455067407e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9044
y[1] (analytic) = -1.0872711166166773782778561287929
y[1] (numeric) = -1.0872711166166773782778413706234
absolute error = 1.47581695e-23
relative error = 1.3573587373426993276927656809149e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9043
y[1] (analytic) = -1.0872495022337510161198418276173
y[1] (numeric) = -1.0872495022337510161198270554234
absolute error = 1.47721939e-23
relative error = 1.3586756185816199100722068648277e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9042
y[1] (analytic) = -1.0872278860713705199998058896453
y[1] (numeric) = -1.0872278860713705199997911034309
absolute error = 1.47862144e-23
relative error = 1.3599921956958861978614728327206e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9041
y[1] (analytic) = -1.0872062681293363375125405677311
y[1] (numeric) = -1.0872062681293363375125257675003
absolute error = 1.48002308e-23
relative error = 1.3613084502782993068764503582647e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.904
y[1] (analytic) = -1.0871846484074488900468397170265
y[1] (numeric) = -1.0871846484074488900468249027832
absolute error = 1.48142433e-23
relative error = 1.3626244007124723493878502511226e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9039
y[1] (analytic) = -1.0871630269055085727820456923405
y[1] (numeric) = -1.0871630269055085727820308640886
absolute error = 1.48282519e-23
relative error = 1.3639400469869737776499299688673e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 2.175
x[1] = -1.9038
y[1] (analytic) = -1.087141403623315754684595957226
y[1] (numeric) = -1.0871414036233157546845811149696
absolute error = 1.48422564e-23
relative error = 1.3652553706934982939647863826614e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9037
y[1] (analytic) = -1.0871197785606707785045694048751
y[1] (numeric) = -1.087119778560670778504554548618
absolute error = 1.48562571e-23
relative error = 1.3665703994153659030187255418021e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9036
y[1] (analytic) = -1.0870981517173739607722323909027
y[1] (numeric) = -1.087098151717373960772217520649
absolute error = 1.48702537e-23
relative error = 1.3678851055452810203093047203724e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9035
y[1] (analytic) = -1.0870765230932255917945844781035
y[1] (numeric) = -1.0870765230932255917945695938571
absolute error = 1.48842464e-23
relative error = 1.3691995074686711504222040327842e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9034
y[1] (analytic) = -1.0870548926880259356519038932607
y[1] (numeric) = -1.0870548926880259356518889950257
absolute error = 1.48982350e-23
relative error = 1.3705135867757551171895782307733e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9033
y[1] (analytic) = -1.0870332605015752301942926960914
y[1] (numeric) = -1.0870332605015752301942777838717
absolute error = 1.49122197e-23
relative error = 1.3718273618526864349963951779566e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9032
y[1] (analytic) = -1.0870116265336736870382216604081
y[1] (numeric) = -1.0870116265336736870382067342077
absolute error = 1.49262004e-23
relative error = 1.3731408234884792979262977347444e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9031
y[1] (analytic) = -1.0869899907841214915630748675801
y[1] (numeric) = -1.086989990784121491563059927403
absolute error = 1.49401771e-23
relative error = 1.3744539716711292821090669451015e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
memory used=144.9MB, alloc=4.3MB, time=8.88
x[1] = -1.903
y[1] (analytic) = -1.0869683532527188029076940123762
y[1] (numeric) = -1.0869683532527188029076790582265
absolute error = 1.49541497e-23
relative error = 1.3757667971887290649889897379185e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9029
y[1] (analytic) = -1.0869467139392657539669224212712
y[1] (numeric) = -1.0869467139392657539669074531527
absolute error = 1.49681185e-23
relative error = 1.3770793276289677202071957063026e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9028
y[1] (analytic) = -1.0869250728435624513881487832973
y[1] (numeric) = -1.0869250728435624513881338012141
absolute error = 1.49820832e-23
relative error = 1.3783915353801321250983724943306e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 2.175
x[1] = -1.9027
y[1] (analytic) = -1.0869034299654089755678505935251
y[1] (numeric) = -1.0869034299654089755678355974813
absolute error = 1.49960438e-23
relative error = 1.3797034204296561606445591406540e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9026
y[1] (analytic) = -1.0868817853046053806481373092543
y[1] (numeric) = -1.0868817853046053806481222992538
absolute error = 1.50100005e-23
relative error = 1.3810150011662357557026967450456e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9025
y[1] (analytic) = -1.0868601388609516945132932189974
y[1] (numeric) = -1.0868601388609516945132781950443
absolute error = 1.50239531e-23
relative error = 1.3823262591767661873634208215575e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9024
y[1] (analytic) = -1.0868384906342479187863200243397
y[1] (numeric) = -1.086838490634247918786304986438
absolute error = 1.50379017e-23
relative error = 1.3836372036496710594320895734188e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9023
y[1] (analytic) = -1.086816840624294028825479134757
y[1] (numeric) = -1.0868168406242940288254640829106
absolute error = 1.50518464e-23
relative error = 1.3849478437741039519567109155026e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9022
y[1] (analytic) = -1.0867951888308899737208336754742
y[1] (numeric) = -1.0867951888308899737208186096873
absolute error = 1.50657869e-23
relative error = 1.3862581519344857465166322410078e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9021
y[1] (analytic) = -1.0867735352538356762907902084486
y[1] (numeric) = -1.0867735352538356762907751287252
absolute error = 1.50797234e-23
relative error = 1.3875681465207796959541709922730e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.902
y[1] (analytic) = -1.0867518798929310330786401665586
y[1] (numeric) = -1.0867518798929310330786250729027
absolute error = 1.50936559e-23
relative error = 1.3888778275209477568814055914074e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9019
y[1] (analytic) = -1.0867302227479759143491010010824
y[1] (numeric) = -1.0867302227479759143490858934981
absolute error = 1.51075843e-23
relative error = 1.3901871857210330427747198720855e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9018
y[1] (analytic) = -1.0867085638187701640848570425499
y[1] (numeric) = -1.0867085638187701640848419210412
absolute error = 1.51215087e-23
relative error = 1.3914962303105404012401978375912e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9017
y[1] (analytic) = -1.086686903105113599983100075049
y[1] (numeric) = -1.0866869031051135999830849396199
absolute error = 1.51354291e-23
relative error = 1.3928049612774225700277974310509e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 2.175
x[1] = -1.9016
y[1] (analytic) = -1.0866652406068060134520696240714
y[1] (numeric) = -1.086665240606806013452054474726
absolute error = 1.51493454e-23
relative error = 1.3941133694071631701496284506719e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9015
y[1] (analytic) = -1.0866435763236471696075929579807
y[1] (numeric) = -1.086643576323647169607577794723
absolute error = 1.51632577e-23
relative error = 1.3954214638898079610994540776284e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9014
y[1] (analytic) = -1.0866219102554368072696248031847
y[1] (numeric) = -1.0866219102554368072696096260188
absolute error = 1.51771659e-23
relative error = 1.3967292355104674297070471728766e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9013
y[1] (analytic) = -1.0866002424019746389587867730974
y[1] (numeric) = -1.0866002424019746389587715820274
absolute error = 1.51910700e-23
relative error = 1.3980366842565314913622496445698e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9012
y[1] (analytic) = -1.0865785727630603508929065109727
y[1] (numeric) = -1.0865785727630603508928913060026
absolute error = 1.52049701e-23
relative error = 1.3993438193185869435781024015711e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9011
y[1] (analytic) = -1.0865569013384936029835565466934
y[1] (numeric) = -1.0865569013384936029835413278273
absolute error = 1.52188661e-23
relative error = 1.4006506314811843629611627781025e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.901
y[1] (analytic) = -1.0865352281280740288325928675998
y[1] (numeric) = -1.0865352281280740288325776348418
absolute error = 1.52327580e-23
relative error = 1.4019571207317041572234681762919e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9009
y[1] (analytic) = -1.0865135531316012357286932034414
y[1] (numeric) = -1.0865135531316012357286779567955
absolute error = 1.52466459e-23
relative error = 1.4032632962612743553685767834461e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9008
y[1] (analytic) = -1.0864918763488748046438950255345
y[1] (numeric) = -1.0864918763488748046438797650047
absolute error = 1.52605298e-23
relative error = 1.4045691580578198537526275842693e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9007
y[1] (analytic) = -1.0864701977796942902301332602105
y[1] (numeric) = -1.086470197779694290230117985801
absolute error = 1.52744095e-23
relative error = 1.4058746877010263110056004903383e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9006
y[1] (analytic) = -1.0864485174238592208157777166393
y[1] (numeric) = -1.0864485174238592208157624283542
absolute error = 1.52882851e-23
relative error = 1.4071798943820122370507243372983e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 2.175
x[1] = -1.9005
y[1] (analytic) = -1.0864268352811690984021702291096
y[1] (numeric) = -1.086426835281169098402154926953
absolute error = 1.53021566e-23
relative error = 1.4084847780881421295450385916130e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.3MB, time=9.12
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 2.175
x[1] = -1.9004
y[1] (analytic) = -1.0864051513514233986601615138527
y[1] (numeric) = -1.0864051513514233986601461978287
absolute error = 1.53160240e-23
relative error = 1.4097893388067772877870498940377e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 2.175
x[1] = -1.9003
y[1] (analytic) = -1.0863834656344215709266477404922
y[1] (numeric) = -1.0863834656344215709266324106049
absolute error = 1.53298873e-23
relative error = 1.4110935765252758117561488295594e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 2.175
x[1] = -1.9002
y[1] (analytic) = -1.0863617781299630382011068182043
y[1] (numeric) = -1.0863617781299630382010914744577
absolute error = 1.53437466e-23
relative error = 1.4123975004360292669424941278253e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 2.175
x[1] = -1.9001
y[1] (analytic) = -1.0863400888378471971421343966732
y[1] (numeric) = -1.0863400888378471971421190390715
absolute error = 1.53576017e-23
relative error = 1.4137010921164998031200486184218e-21 %
h = 0.0001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 2.175
x[1] = -1.9
y[1] (analytic) = -1.0863183977578734180639795819257
y[1] (numeric) = -1.086318397757873418063964210473
absolute error = 1.53714527e-23
relative error = 1.4150043607588888219263255901762e-21 %
h = 0.0001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ;
Iterations = 1000
Total Elapsed Time = 9 Seconds
Elapsed Time(since restart) = 9 Seconds
Expected Time Remaining = 4 Minutes 24 Seconds
Optimized Time Remaining = 4 Minutes 24 Seconds
Time to Timeout = 14 Minutes 50 Seconds
Percent Done = 3.337 %
> quit
memory used=149.5MB, alloc=4.3MB, time=9.16